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BANA4090_Week5_Lab6_Data-Examples_German-Forecasts.html
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<title>Basic Tools For Forecasting</title>
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ul.outline li.unfolded {
padding: 0 0 0 20px;
background: transparent url(data:image/gif;base64,R0lGODdhCQAJAKEDAMPD/8zMzOvr/////ywAAAAACQAJAAACEYyPoivG614LAlg7ZZbxoR8UADs=) no-repeat 0px 0.5em;
}
ul.outline li.folded {
padding: 0 0 0 20px;
background: transparent url(data:image/gif;base64,R0lGODdhCQAJAKEDAMPD/8zMzOvr/////ywAAAAACQAJAAACFIyPoiu2sJyCyoF7W3hxz850CFIAADs=) no-repeat 0px 0.5em;
}
ul.outline li.unfolded:hover {
padding: 0 0 0 20px;
background: transparent url(data:image/gif;base64,R0lGODdhCQAJAKEDAAAAAAAA/8PD/////ywAAAAACQAJAAACEYSPoivG614DIlg7ZZbxoQ8UADs=) no-repeat 0px 0.5em;
}
ul.outline li.folded:hover {
padding: 0 0 0 20px;
background: transparent url(data:image/gif;base64,R0lGODdhCQAJAKEDAAAAAAAA/8PD/////ywAAAAACQAJAAACFISPoiu2sZyCyoV7G3hxz850CFIAADs=) no-repeat 0px 0.5em;
}
a.titleslide { font-weight: bold; font-style: italic }
img.hidden { display: none; visibility: hidden }
div.initial_prompt { display: none; visibility: hidden }
div.slide {
visibility: visible;
position: inherit;
}
div.handout {
border-top-style: solid;
border-top-width: thin;
border-top-color: black;
}
@media screen {
.hidden { display: none; visibility: visible }
div.slide.hidden { display: block; visibility: visible }
div.handout.hidden { display: block; visibility: visible }
div.background { display: none; visibility: hidden }
body.single_slide div.initial_prompt { display: block; visibility: visible }
body.single_slide div.background { display: block; visibility: visible }
body.single_slide div.background.hidden { display: none; visibility: hidden }
body.single_slide .invisible { visibility: hidden }
body.single_slide .hidden { display: none; visibility: hidden }
body.single_slide div.slide { position: absolute }
body.single_slide div.handout { display: none; visibility: hidden }
}
@media print {
.hidden { display: block; visibility: visible }
div.slide pre { font-size: 60%; padding-left: 0.5em; }
div.toolbar { display: none; visibility: hidden; }
div.slidy_toc { display: none; visibility: hidden; }
div.background { display: none; visibility: hidden; }
div.slide { page-break-before: always }
div.slide.first-slide { page-break-before: avoid }
}
.jslider table {
margin-left: 0em;
margin-right: 0em;
}
table.dataTable, .shiny-datatable-output div {
font-size: 14pt;
}
.dataTables_info, .dataTables_paginate {
font-size: 19px;
}
pre.sourceCode, code.sourceCode {
font-size: 80%;
}
label, button, input, select, textarea {
font-size: 14pt;
}
ul.nav, ul.nav li {
list-style-type: none;
}
</style>
<script src="data:application/javascript;base64,/* slidy.js

   Copyright (c) 2005-2013 W3C (MIT, ERCIM, Keio), All Rights Reserved.
   W3C liability, trademark, document use and software licensing
   rules apply, see:

   http://www.w3.org/Consortium/Legal/copyright-documents
   http://www.w3.org/Consortium/Legal/copyright-software

   Defines single name "w3c_slidy" in global namespace
   Adds event handlers without trampling on any others
*/

// the slidy object implementation
var w3c_slidy = {
  // classify which kind of browser we're running under
  ns_pos: (typeof window.pageYOffset!='undefined'),
  khtml: ((navigator.userAgent).indexOf("KHTML") >= 0 ? true : false),
  opera: ((navigator.userAgent).indexOf("Opera") >= 0 ? true : false),
  ipad: ((navigator.userAgent).indexOf("iPad") >= 0 ? true : false),
  iphone: ((navigator.userAgent).indexOf("iPhone") >= 0 ? true : false),
  android: ((navigator.userAgent).indexOf("Android") >= 0 ? true : false),
  ie: (typeof document.all != "undefined" && !this.opera),
  ie6: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 6") != -1),
  ie7: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 7") != -1),
  ie8: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 8") != -1),
  ie9: (!this.ns_pos && navigator.userAgent.indexOf("MSIE 9") != -1),

  // data for swipe and double tap detection on touch screens
  last_tap: 0,
  prev_tap: 0,
  start_x: 0,
  start_y: 0,
  delta_x: 0,
  delta_y: 0,

  // are we running as XHTML? (doesn't work on Opera)
  is_xhtml: /xml/.test(document.contentType),

  slide_number: 0, // integer slide count: 0, 1, 2, ...
  slide_number_element: null, // element containing slide number
  slides: [], // set to array of slide div's
  notes: [], // set to array of handout div's
  backgrounds: [], // set to array of background div's
  observers: [], // list of observer functions
  toolbar: null, // element containing toolbar
  title: null, // document title
  last_shown: null, // last incrementally shown item
  eos: null,  // span element for end of slide indicator
  toc: null, // table of contents
  outline: null, // outline element with the focus
  selected_text_len: 0, // length of drag selection on document
  view_all: 0,  // 1 to view all slides + handouts
  want_toolbar: true,  // user preference to show/hide toolbar
  mouse_click_enabled: true, // enables left click for next slide
  scroll_hack: 0, // IE work around for position: fixed
  disable_slide_click: false,  // used by clicked anchors

  lang: "en", // updated to language specified by html file

  help_anchor: null, // used for keyboard focus hack in showToolbar()
  help_page: "http://www.w3.org/Talks/Tools/Slidy2/help/help.html",
  help_text: "Navigate with mouse click, space bar, Cursor Left/Right, " +
             "or Pg Up and Pg Dn. Use S and B to change font size.",

  size_index: 0,
  size_adjustment: 0,
  sizes:  new Array("10pt", "12pt", "14pt", "16pt", "18pt", "20pt",
                    "22pt", "24pt", "26pt", "28pt", "30pt", "32pt"),

  // needed for efficient resizing
  last_width: 0,
  last_height: 0,


  // Needed for cross browser support for relative width/height on
  // object elements. The work around is to save width/height attributes
  // and then to recompute absolute width/height dimensions on resizing
   objects: [],

  // attach initialiation event handlers
  set_up: function () {
    var init = function() { w3c_slidy.init(); };
    if (typeof window.addEventListener != "undefined")
      window.addEventListener("load", init, false);
    else
      window.attachEvent("onload", init);
  },

  hide_slides: function () {
    if (document.body && !w3c_slidy.initialized)
      document.body.style.visibility = "hidden";
    else
      setTimeout(w3c_slidy.hide_slides, 50);
  },

  // hack to persuade IE to compute correct document height
  // as needed for simulating fixed positioning of toolbar
  ie_hack: function () {
    window.resizeBy(0,-1);
    window.resizeBy(0, 1);
  },

  init: function () {
    //alert("slidy starting test 10");
    document.body.style.visibility = "visible";
    this.init_localization();
    this.add_toolbar();
    this.wrap_implicit_slides();
    this.collect_slides();
    this.collect_notes();
    this.collect_backgrounds();
    this.objects = document.body.getElementsByTagName("object");
    this.patch_anchors();
    this.slide_number = this.find_slide_number(location.href);
    window.offscreenbuffering = true;
    this.size_adjustment = this.find_size_adjust();
    this.time_left = this.find_duration();
    this.hide_image_toolbar();  // suppress IE image toolbar popup
    this.init_outliner();  // activate fold/unfold support
    this.title = document.title;
    this.keyboardless = (this.ipad||this.iphone||this.android);

    if (this.keyboardless)
    {
      w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden")
      this.want_toolbar = 0;
    }

    // work around for opera bug
    this.is_xhtml = (document.body.tagName == "BODY" ? false : true);

    if (this.slides.length > 0)
    {
      var slide = this.slides[this.slide_number];
   
      if (this.slide_number > 0)
      {
        this.set_visibility_all_incremental("visible");
        this.last_shown = this.previous_incremental_item(null);
        this.set_eos_status(true);
      }
      else
      {
        this.last_shown = null;
        this.set_visibility_all_incremental("hidden");
        this.set_eos_status(!this.next_incremental_item(this.last_shown));
      }

      this.set_location();
      this.add_class(this.slides[0], "first-slide");
      w3c_slidy.show_slide(slide);
    }

    this.toc = this.table_of_contents();

    this.add_initial_prompt();

    // bind event handlers without interfering with custom page scripts
    // Tap events behave too weirdly to support clicks reliably on
    // iPhone and iPad, so exclude these from click handler

    if (!this.keyboardless)
    {
      this.add_listener(document.body, "click", this.mouse_button_click);
      this.add_listener(document.body, "mousedown", this.mouse_button_down);
    }

    this.add_listener(document, "keydown", this.key_down);
    this.add_listener(document, "keypress", this.key_press);
    this.add_listener(window, "resize", this.resized);
    this.add_listener(window, "scroll", this.scrolled);
    this.add_listener(window, "unload", this.unloaded);

    this.add_listener(document, "gesturechange", function ()
    {
      return false;
    });

    this.attach_touch_handers(this.slides);

    // this seems to be a debugging hack
    //if (!document.body.onclick)
    //  document.body.onclick = function () { };

    this.single_slide_view();

    //this.set_location();

    this.resized();

    if (this.ie7)
      setTimeout(w3c_slidy.ie_hack, 100);

    this.show_toolbar();

    // for back button detection
    setInterval(function () { w3c_slidy.check_location(); }, 200);
    w3c_slidy.initialized = true;
  },

  // create div element with links to each slide
  table_of_contents: function () {
    var toc = this.create_element("div");
    this.add_class(toc, "slidy_toc hidden");
    //toc.setAttribute("tabindex", "0");

    var heading = this.create_element("div");
    this.add_class(heading, "toc-heading");
    heading.innerHTML = this.localize("Table of Contents");

    toc.appendChild(heading);
    var previous = null;

    for (var i = 0; i < this.slides.length; ++i)
    {
      var title = this.has_class(this.slides[i], "title");
      var num = document.createTextNode((i + 1) + ". ");

      toc.appendChild(num);

      var a = this.create_element("a");
      a.setAttribute("href", "#(" + (i+1) + ")");

      if (title)
        this.add_class(a, "titleslide");

      var name = document.createTextNode(this.slide_name(i));
      a.appendChild(name);
      a.onclick = w3c_slidy.toc_click;
      a.onkeydown = w3c_slidy.toc_key_down;
      a.previous = previous;

      if (previous)
        previous.next = a;

      toc.appendChild(a);

      if (i == 0)
        toc.first = a;

      if (i < this.slides.length - 1)
      {
        var br = this.create_element("br");
        toc.appendChild(br);
      }

      previous = a;
    }

    toc.focus = function () {
      if (this.first)
        this.first.focus();
    }

    toc.onmouseup = w3c_slidy.mouse_button_up;

    toc.onclick = function (e) {
      e||(e=window.event);

      if (w3c_slidy.selected_text_len <= 0)
         w3c_slidy.hide_table_of_contents(true);

      w3c_slidy.stop_propagation(e);
    
      if (e.cancel != undefined)
        e.cancel = true;
      
      if (e.returnValue != undefined)
        e.returnValue = false;
      
      return false;
    };

    document.body.insertBefore(toc, document.body.firstChild);
    return toc;
  },

  is_shown_toc: function () {
    return !w3c_slidy.has_class(w3c_slidy.toc, "hidden");
  },

  show_table_of_contents: function () {
    w3c_slidy.remove_class(w3c_slidy.toc, "hidden");
    var toc = w3c_slidy.toc;
    toc.focus();

    if (w3c_slidy.ie7 && w3c_slidy.slide_number == 0)
      setTimeout(w3c_slidy.ie_hack, 100);
  },

  hide_table_of_contents: function (focus) {
    w3c_slidy.add_class(w3c_slidy.toc, "hidden");

    if (focus && !w3c_slidy.opera &&
        !w3c_slidy.has_class(w3c_slidy.toc, "hidden"))
      w3c_slidy.set_focus();
  },

  toggle_table_of_contents: function () {
    if (w3c_slidy.is_shown_toc())
      w3c_slidy.hide_table_of_contents(true);
    else
      w3c_slidy.show_table_of_contents();
  },

  // called on clicking toc entry
  toc_click: function (e) {
    if (!e)
      e = window.event;

    var target = w3c_slidy.get_target(e);

    if (target && target.nodeType == 1)
    {
      var uri = target.getAttribute("href");

      if (uri)
      {
        //alert("going to " + uri);
        var slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);
        w3c_slidy.slide_number = w3c_slidy.find_slide_number(uri);
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.last_shown = null;
        w3c_slidy.set_location();
        w3c_slidy.set_visibility_all_incremental("hidden");
        w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
        w3c_slidy.show_slide(slide);
        //target.focus();

        try
        {
          if (!w3c_slidy.opera)
            w3c_slidy.set_focus();
        }
        catch (e)
        {
        }
      }
    }

    w3c_slidy.hide_table_of_contents(true);
    if (w3c_slidy.ie7) w3c_slidy.ie_hack();
    w3c_slidy.stop_propagation(e);
    return w3c_slidy.cancel(e);
  },

  // called onkeydown for toc entry
  toc_key_down: function (event) {
    var key;

    if (!event)
      var event = window.event;

    // kludge around NS/IE differences 
    if (window.event)
      key = window.event.keyCode;
    else if (event.which)
      key = event.which;
    else
      return true; // Yikes! unknown browser

    // ignore event if key value is zero
    // as for alt on Opera and Konqueror
    if (!key)
      return true;

    // check for concurrent control/command/alt key
    // but are these only present on mouse events?

    if (event.ctrlKey || event.altKey)
      return true;

    if (key == 13)
    {
      var uri = this.getAttribute("href");

      if (uri)
      {
        //alert("going to " + uri);
       var slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);
        w3c_slidy.slide_number = w3c_slidy.find_slide_number(uri);
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.last_shown = null;
        w3c_slidy.set_location();
        w3c_slidy.set_visibility_all_incremental("hidden");
        w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
        w3c_slidy.show_slide(slide);
        //target.focus();

        try
        {
          if (!w3c_slidy.opera)
            w3c_slidy.set_focus();
        }
        catch (e)
        {
        }
      }

      w3c_slidy.hide_table_of_contents(true);

      if (self.ie7)
       w3c_slidy.ie_hack();

      return w3c_slidy.cancel(event);
    }

    if (key == 40 && this.next)
    {
      this.next.focus();
      return w3c_slidy.cancel(event);
    }

    if (key == 38 && this.previous)
    {
      this.previous.focus();
      return w3c_slidy.cancel(event);
    }

    return true;
  },

  touchstart: function (e)
  {
    // a double touch often starts with a
    // single touch due to fingers touching
    // down at slightly different times
    // thus avoid calling preventDefault here
    this.prev_tap = this.last_tap;
    this.last_tap = (new Date).getTime();

    var tap_delay = this.last_tap - this.prev_tap;

    if (tap_delay <= 200)
    {
      // double tap
    }

    var touch = e.touches[0];

    this.pageX = touch.pageX;
    this.pageY = touch.pageY;
    this.screenX = touch.screenX;
    this.screenY = touch.screenY;
    this.clientX = touch.clientX;
    this.clientY = touch.clientY;

    this.delta_x = this.delta_y = 0;
  },

  touchmove: function (e)
  {
    // override native gestures for single touch
    if (e.touches.length > 1)
      return;

    e.preventDefault();
    var touch = e.touches[0];
    this.delta_x = touch.pageX - this.pageX;
    this.delta_y = touch.pageY - this.pageY;
  },

  touchend: function (e)
  {
    // default behavior for multi-touch
    if (e.touches.length > 1)
      return;

    var delay = (new Date).getTime() - this.last_tap;
    var dx = this.delta_x;
    var dy = this.delta_y;
    var abs_dx = Math.abs(dx);
    var abs_dy = Math.abs(dy);

    if (delay < 500 && (abs_dx > 100 || abs_dy > 100))
    {
      if (abs_dx > 0.5 * abs_dy)
      {
        e.preventDefault();

        if (dx < 0)
          w3c_slidy.next_slide(true);
        else
          w3c_slidy.previous_slide(true);
      }
      else if (abs_dy > 2 * abs_dx)
      {
        e.preventDefault();
        w3c_slidy.toggle_table_of_contents();
      }
    }
  },

  // ### OBSOLETE ###
  before_print: function () {
    this.show_all_slides();
    this.hide_toolbar();
    alert("before print");
  },

  // ### OBSOLETE ###
  after_print: function () {
    if (!this.view_all)
    {
      this.single_slide_view();
      this.show_toolbar();
    }
    alert("after print");
  },

  // ### OBSOLETE ###
  print_slides: function () {
    this.before_print();
    window.print();
    this.after_print();
  },

  // ### OBSOLETE ?? ###
  toggle_view: function () {
    if (this.view_all)
    {
      this.single_slide_view();
      this.show_toolbar();
      this.view_all = 0;
    }
    else
    {
      this.show_all_slides();
      this.hide_toolbar();
      this.view_all = 1;
    }
  },

  // prepare for printing  ### OBSOLETE ###
  show_all_slides: function () {
    this.remove_class(document.body, "single_slide");
    this.set_visibility_all_incremental("visible");
  },

  // restore after printing  ### OBSOLETE ###
  single_slide_view: function () {
    this.add_class(document.body, "single_slide");
    this.set_visibility_all_incremental("visible");
    this.last_shown = this.previous_incremental_item(null);
  },

  // suppress IE's image toolbar pop up
  hide_image_toolbar: function () {
    if (!this.ns_pos)
    {
      var images = document.getElementsByTagName("IMG");

      for (var i = 0; i < images.length; ++i)
        images[i].setAttribute("galleryimg", "no");
    }
  },

  unloaded: function (e) {
    //alert("unloaded");
  },

  // Safari and Konqueror don't yet support getComputedStyle()
  // and they always reload page when location.href is updated
  is_KHTML: function () {
    var agent = navigator.userAgent;
    return (agent.indexOf("KHTML") >= 0 ? true : false);
  },

  // find slide name from first h1 element
  // default to document title + slide number
  slide_name: function (index) {
    var name = null;
    var slide = this.slides[index];

    var heading = this.find_heading(slide);

    if (heading)
      name = this.extract_text(heading);

    if (!name)
      name = this.title + "(" + (index + 1) + ")";

    name.replace(/\&/g, "&amp;");
    name.replace(/\</g, "&lt;");
    name.replace(/\>/g, "&gt;");

    return name;
  },

  // find first h1 element in DOM tree
  find_heading: function (node) {
    if (!node || node.nodeType != 1)
      return null;

    if (node.nodeName == "H1" || node.nodeName == "h1")
      return node;

    var child = node.firstChild;

    while (child)
    {
      node = this.find_heading(child);

      if (node)
        return node;

      child = child.nextSibling;
    }

    return null;
  },

  // recursively extract text from DOM tree
  extract_text: function (node) {
    if (!node)
      return "";

    // text nodes
    if (node.nodeType == 3)
      return node.nodeValue;

    // elements
    if (node.nodeType == 1)
    {
      node = node.firstChild;
      var text = "";

      while (node)
      {
        text = text + this.extract_text(node);
        node = node.nextSibling;
      }

      return text;
    }

    return "";
  },

  // find copyright text from meta element
  find_copyright: function () {
    var name, content;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "copyright")
        return content;
    }

    return null;
  },

  find_size_adjust: function () {
    var name, content, offset;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "font-size-adjustment")
        return 1 * content;
    }

    return 1;
  },

  // <meta name="duration" content="20" />  for 20 minutes
  find_duration: function () {
    var name, content, offset;
    var meta = document.getElementsByTagName("meta");

    for (var i = 0; i < meta.length; ++i)
    {
      name = meta[i].getAttribute("name");
      content = meta[i].getAttribute("content");

      if (name == "duration")
        return 60000 * content;
    }

    return null;
  },

  replace_by_non_breaking_space: function (str) {
    for (var i = 0; i < str.length; ++i)
      str[i] = 160;
  },

  // ### CHECK ME ### is use of "li" okay for text/html?
  // for XHTML do we also need to specify namespace?
  init_outliner: function () {
    var items = document.getElementsByTagName("li");

    for (var i = 0; i < items.length; ++i)
    {
      var target = items[i];

      if (!this.has_class(target.parentNode, "outline"))
        continue;

      target.onclick = this.outline_click;
/* ### more work needed for IE6
      if (!this.ns_pos)
      {
        target.onmouseover = this.hover_outline;
        target.onmouseout = this.unhover_outline;
      }
*/
      if (this.foldable(target))
      {
        target.foldable = true;
        target.onfocus = function () {w3c_slidy.outline = this;};
        target.onblur = function () {w3c_slidy.outline = null;};

        if (!target.getAttribute("tabindex"))
          target.setAttribute("tabindex", "0");

        if (this.has_class(target, "expand"))
          this.unfold(target);
        else
          this.fold(target);
      }
      else
      {
        this.add_class(target, "nofold");
        target.visible = true;
        target.foldable = false;
      }
    }
  },

  foldable: function (item) {
    if (!item || item.nodeType != 1)
      return false;

    var node = item.firstChild;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node))
        return true;

      node = node.nextSibling;
    }

    return false;
  },

  // ### CHECK ME ### switch to add/remove "hidden" class
  fold: function (item) {
    if (item)
    {
      this.remove_class(item, "unfolded");
      this.add_class(item, "folded");
    }

    var node = item ? item.firstChild : null;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node)) // element
      {
         w3c_slidy.add_class(node, "hidden");
      }

      node = node.nextSibling;
    }

    item.visible = false;
  },

  // ### CHECK ME ### switch to add/remove "hidden" class
  unfold: function (item) {
    if (item)
    {
      this.add_class(item, "unfolded");
      this.remove_class(item, "folded");
    }

    var node = item ? item.firstChild : null;

    while (node)
    {
      if (node.nodeType == 1 && this.is_block(node)) // element
      {
        w3c_slidy.remove_class(node, "hidden");
      }

      node = node.nextSibling;
    }

    item.visible = true;
  },

  outline_click: function (e) {
    if (!e)
      e = window.event;

    var rightclick = false;
    var target = w3c_slidy.get_target(e);

    while (target && target.visible == undefined)
      target = target.parentNode;

    if (!target)
      return true;

    if (e.which)
      rightclick = (e.which == 3);
    else if (e.button)
      rightclick = (e.button == 2);

    if (!rightclick && target.visible != undefined)
    {
      if (target.foldable)
      {
        if (target.visible)
          w3c_slidy.fold(target);
        else
          w3c_slidy.unfold(target);
      }

      w3c_slidy.stop_propagation(e);
      e.cancel = true;
      e.returnValue = false;
    }

    return false;
  },

  add_initial_prompt: function () {
    var prompt = this.create_element("div");
    prompt.setAttribute("class", "initial_prompt");

    var p1 = this.create_element("p");
    prompt.appendChild(p1);
    p1.setAttribute("class", "help");

    if (this.keyboardless)
      p1.innerHTML = "swipe left to move to next slide";
    else
      p1.innerHTML = "Space, Right Arrow or swipe left to move to " +
                     "next slide, click help below for more details";

    this.add_listener(prompt, "click", function (e) {
      document.body.removeChild(prompt);
      w3c_slidy.stop_propagation(e);
    
      if (e.cancel != undefined)
        e.cancel = true;
      
      if (e.returnValue != undefined)
        e.returnValue = false;
      
      return false;
    });

    document.body.appendChild(prompt);
    this.initial_prompt = prompt;
    setTimeout(function() {document.body.removeChild(prompt);}, 5000);
  },

  add_toolbar: function () {
    var counter, page;

     this.toolbar = this.create_element("div");
     this.toolbar.setAttribute("class", "toolbar");

     // a reasonably behaved browser
     if (this.ns_pos || !this.ie6)
     {
       var right = this.create_element("div");
       right.setAttribute("style", "float: right; text-align: right");

       counter = this.create_element("span")
       counter.innerHTML = this.localize("slide") + " n/m";
       right.appendChild(counter);
       this.toolbar.appendChild(right);

       var left = this.create_element("div");
       left.setAttribute("style", "text-align: left");

       // global end of slide indicator
       this.eos = this.create_element("span");
       this.eos.innerHTML = "* ";
       left.appendChild(this.eos);

       var help = this.create_element("a");
       help.setAttribute("href", this.help_page);
       help.setAttribute("title", this.localize(this.help_text));
       help.innerHTML = this.localize("help?");
       left.appendChild(help);
       help.style.display="none"; 
       this.help_anchor = help;  // save for focus hack

       var gap1 = document.createTextNode(" ");
       left.appendChild(gap1);

       var contents = this.create_element("a");
       contents.setAttribute("href", "javascript:w3c_slidy.toggle_table_of_contents()");
       contents.setAttribute("title", this.localize("table of contents"));
       contents.innerHTML = this.localize("Contents");
       left.appendChild(contents);

       var gap2 = document.createTextNode(" ");
       left.appendChild(gap2);

       var copyright = this.find_copyright();

       if (copyright)
       {
         var span = this.create_element("span");
         span.className = "copyright";
         span.innerHTML = copyright;
         left.appendChild(span);
       }

       this.toolbar.setAttribute("tabindex", "0");
       this.toolbar.appendChild(left);
     }
     else // IE6 so need to work around its poor CSS support
     {
       this.toolbar.style.position = (this.ie7 ? "fixed" : "absolute");
       this.toolbar.style.zIndex = "200";
       this.toolbar.style.width = "99.9%";
       this.toolbar.style.height = "1.2em";
       this.toolbar.style.top = "auto";
       this.toolbar.style.bottom = "0";
       this.toolbar.style.left = "0";
       this.toolbar.style.right = "0";
       this.toolbar.style.textAlign = "left";
       this.toolbar.style.fontSize = "60%";
       this.toolbar.style.color = "red";
       this.toolbar.borderWidth = 0;
       this.toolbar.className = "toolbar";
       this.toolbar.style.background = "rgb(240,240,240)";

       // would like to have help text left aligned
       // and page counter right aligned, floating
       // div's don't work, so instead use nested
       // absolutely positioned div's.

       var sp = this.create_element("span");
       sp.innerHTML = "&nbsp;&nbsp;*&nbsp;";
       this.toolbar.appendChild(sp);
       this.eos = sp;  // end of slide indicator

       var help = this.create_element("a");
       help.setAttribute("href", this.help_page);
       help.setAttribute("title", this.localize(this.help_text));
       help.innerHTML = this.localize("help?");
       this.toolbar.appendChild(help);
       this.help_anchor = help;  // save for focus hack

       var gap1 = document.createTextNode(" ");
       this.toolbar.appendChild(gap1);

       var contents = this.create_element("a");
       contents.setAttribute("href", "javascript:toggleTableOfContents()");
       contents.setAttribute("title", this.localize("table of contents".localize));
       contents.innerHTML = this.localize("contents?");
       this.toolbar.appendChild(contents);

       var gap2 = document.createTextNode(" ");
       this.toolbar.appendChild(gap2);

       var copyright = this.find_copyright();

       if (copyright)
       {
         var span = this.create_element("span");
         span.innerHTML = copyright;
         span.style.color = "black";
         span.style.marginLeft = "0.5em";
         this.toolbar.appendChild(span);
       }

       counter = this.create_element("div")
       counter.style.position = "absolute";
       counter.style.width = "auto"; //"20%";
       counter.style.height = "1.2em";
       counter.style.top = "auto";
       counter.style.bottom = 0;
       counter.style.right = "0";
       counter.style.textAlign = "right";
       counter.style.color = "red";
       counter.style.background = "rgb(240,240,240)";

       counter.innerHTML = this.localize("slide") + " n/m";
       this.toolbar.appendChild(counter);
     }

     // ensure that click isn't passed through to the page
     this.toolbar.onclick =
         function (e) {
           if (!e)
             e = window.event;

           var target = e.target;

           if (!target && e.srcElement)
             target = e.srcElement;

           // work around Safari bug
           if (target && target.nodeType == 3)
             target = target.parentNode;

           w3c_slidy.stop_propagation(e);

           if (target && target.nodeName.toLowerCase() != "a")
             w3c_slidy.mouse_button_click(e);
         };

     this.slide_number_element = counter;
     this.set_eos_status(false);
     document.body.appendChild(this.toolbar);
  },

  // wysiwyg editors make it hard to use div elements
  // e.g. amaya loses the div when you copy and paste
  // this function wraps div elements around implicit
  // slides which start with an h1 element and continue
  // up to the next heading or div element
  wrap_implicit_slides: function () {
    var i, heading, node, next, div;
    var headings = document.getElementsByTagName("h1");

    if (!headings)
      return;

    for (i = 0; i < headings.length; ++i)
    {
      heading = headings[i];

      if (heading.parentNode != document.body)
        continue;

      node = heading.nextSibling;

      div = document.createElement("div");
      this.add_class(div, "slide");
      document.body.replaceChild(div, heading);
      div.appendChild(heading);

      while (node)
      {
        if (node.nodeType == 1) // an element
        {
           if (node.nodeName == "H1" || node.nodeName == "h1")
             break;

           if (node.nodeName == "DIV" || node.nodeName == "div")
           {
             if (this.has_class(node, "slide"))
               break;

             if (this.has_class(node, "handout"))
               break;
           }
        }

        next = node.nextSibling;
        node = document.body.removeChild(node);
        div.appendChild(node);
        node = next;
      } 
    }
  },

  attach_touch_handers: function(slides)
  {
    var i, slide;

    for (i = 0; i < slides.length; ++i)
    {
      slide = slides[i];
      this.add_listener(slide, "touchstart", this.touchstart);
      this.add_listener(slide, "touchmove", this.touchmove);
      this.add_listener(slide, "touchend", this.touchend);
    }
  },

// return new array of all slides
  collect_slides: function () {
    var slides = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "slide"))
      {
        // add slide to collection
        slides[slides.length] = div;

        // hide each slide as it is found
        this.add_class(div, "hidden");

        // add dummy <br/> at end for scrolling hack
        var node1 = document.createElement("br");
        div.appendChild(node1);
        var node2 = document.createElement("br");
        div.appendChild(node2);
      }
      else if (this.has_class(div, "background"))
      {  // work around for Firefox SVG reload bug
        // which otherwise replaces 1st SVG graphic with 2nd
        div.style.display = "block";
      }
    }

    this.slides = slides;
  },

  // return new array of all <div class="handout">
  collect_notes: function () {
    var notes = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "handout"))
      {
        // add note to collection
        notes[notes.length] = div;

        // and hide it
        this.add_class(div, "hidden");
      }
    }

    this.notes = notes;
  },

  // return new array of all <div class="background">
  // including named backgrounds e.g. class="background titlepage"
  collect_backgrounds: function () {
    var backgrounds = new Array();
    var divs = document.body.getElementsByTagName("div");

    for (var i = 0; i < divs.length; ++i)
    {
      div = divs.item(i);

      if (this.has_class(div, "background"))
      {
        // add background to collection
        backgrounds[backgrounds.length] = div;

        // and hide it
        this.add_class(div, "hidden");
      }
    }

    this.backgrounds = backgrounds;
  },

  // set click handlers on all anchors
  patch_anchors: function () {
    var self = w3c_slidy;
    var handler = function (event) {
      // compare this.href with location.href
      // for link to another slide in this doc

      if (self.page_address(this.href) == self.page_address(location.href))
      {
        // yes, so find new slide number
        var newslidenum = self.find_slide_number(this.href);

        if (newslidenum != self.slide_number)
        {
          var slide = self.slides[self.slide_number];
          self.hide_slide(slide);
          self.slide_number = newslidenum;
          slide = self.slides[self.slide_number];
          self.show_slide(slide);
          self.set_location();
        }
      }
      else
        w3c_slidy.stop_propagation(event);

//      else if (this.target == null)
//        location.href = this.href;

      this.blur();
      self.disable_slide_click = true;
    };

    var anchors = document.body.getElementsByTagName("a");

    for (var i = 0; i < anchors.length; ++i)
    {
      if (window.addEventListener)
        anchors[i].addEventListener("click", handler, false);
      else
        anchors[i].attachEvent("onclick", handler);
    }
  },

  // ### CHECK ME ### see which functions are invoked via setTimeout
  // either directly or indirectly for use of w3c_slidy vs this
  show_slide_number: function () {
    var timer = w3c_slidy.get_timer();
    w3c_slidy.slide_number_element.innerHTML = timer + w3c_slidy.localize("slide") + " " +
           (w3c_slidy.slide_number + 1) + "/" + w3c_slidy.slides.length;
  },

  // every 200mS check if the location has been changed as a
  // result of the user activating the Back button/menu item
  // doesn't work for Opera < 9.5
  check_location: function () {
    var hash = location.hash;

    if (w3c_slidy.slide_number > 0 && (hash == "" || hash == "#"))
      w3c_slidy.goto_slide(0);
    else if (hash.length > 2 && hash != "#("+(w3c_slidy.slide_number+1)+")")
    {
      var num = parseInt(location.hash.substr(2));

      if (!isNaN(num))
        w3c_slidy.goto_slide(num-1);
    }

    if (w3c_slidy.time_left && w3c_slidy.slide_number > 0)
    {
      w3c_slidy.show_slide_number();

      if (w3c_slidy.time_left > 0)
        w3c_slidy.time_left -= 200;
    } 
  },

  get_timer: function () {
    var timer = "";
    if (w3c_slidy.time_left)
    {
      var mins, secs;
      secs = Math.floor(w3c_slidy.time_left/1000);
      mins = Math.floor(secs / 60);
      secs = secs % 60;
      timer = (mins ? mins+"m" : "") + secs + "s ";
    }

    return timer;
  },

  // this doesn't push location onto history stack for IE
  // for which a hidden iframe hack is needed: load page into
  // the iframe with script that set's parent's location.hash
  // but that won't work for standalone use unless we can
  // create the page dynamically via a javascript: URL
  // ### use history.pushState if available
  set_location: function () {
     var uri = w3c_slidy.page_address(location.href);
     var hash = "#(" + (w3c_slidy.slide_number+1) + ")";

     if (w3c_slidy.slide_number >= 0)
       uri = uri + hash;

     if (typeof(history.pushState) != "undefined" && location.protocol !== "file:")
     {
       document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
       history.pushState(0, document.title, hash);
       w3c_slidy.show_slide_number();
       w3c_slidy.notify_observers();
       return;
     }

     if (w3c_slidy.ie && (w3c_slidy.ie6 || w3c_slidy.ie7))
       w3c_slidy.push_hash(hash);

     if (uri != location.href) // && !khtml
        location.href = uri;

     if (this.khtml)
        hash = "(" + (w3c_slidy.slide_number+1) + ")";

     if (!this.ie && location.hash != hash && location.hash != "")
       location.hash = hash;

     document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
     w3c_slidy.show_slide_number();
     w3c_slidy.notify_observers();
  },

  notify_observers: function ()
  {
    var slide = this.slides[this.slide_number];

    for (var i = 0; i < this.observers.length; ++i)
      this.observers[i](this.slide_number+1, this.find_heading(slide).innerText, location.href);
  },

  add_observer: function (observer)
  {
    for (var i = 0; i < this.observers.length; ++i)
    {
      if (observer == this.observers[i])
        return;
    }

    this.observers.push(observer);
  },

  remove_observer: function (o)
  {
    for (var i = 0; i < this.observers.length; ++i)
    {
      if (observer == this.observers[i])
      {
        this.observers.splice(i,1);
        break;
      }
    }
  },

  page_address: function (uri) {
    var i = uri.indexOf("#");

    if (i < 0)
      i = uri.indexOf("%23");

    // check if anchor is entire page

    if (i < 0)
      return uri;  // yes

    return uri.substr(0, i);
  },

  // only used for IE6 and IE7
  on_frame_loaded: function (hash) {
    location.hash = hash;
    var uri = w3c_slidy.page_address(location.href);
    location.href = uri + hash;
  },

  // history hack with thanks to Bertrand Le Roy
  push_hash: function (hash) {
    if (hash == "") hash = "#(1)";
      window.location.hash = hash;

    var doc = document.getElementById("historyFrame").contentWindow.document;
    doc.open("javascript:'<html></html>'");
    doc.write("<html><head><script type=\"text/javascript\">window.parent.w3c_slidy.on_frame_loaded('"+
      (hash) + "');</script></head><body>hello mum</body></html>");
      doc.close();
  },

  // find current slide based upon location
  // first find target anchor and then look
  // for associated div element enclosing it
  // finally map that to slide number
  find_slide_number: function (uri) {
    // first get anchor from page location

    var i = uri.indexOf("#");

    // check if anchor is entire page
    if (i < 0)
      return 0;  // yes

    var anchor = unescape(uri.substr(i+1));

    // now use anchor as XML ID to find target
    var target = document.getElementById(anchor);

    if (!target)
    {
      // does anchor look like "(2)" for slide 2 ??
      // where first slide is (1)
      var re = /\((\d)+\)/;

      if (anchor.match(re))
      {
        var num = parseInt(anchor.substring(1, anchor.length-1));

        if (num > this.slides.length)
          num = 1;

        if (--num < 0)
          num = 0;

        return num;
      }

      // accept [2] for backwards compatibility
      re = /\[(\d)+\]/;

      if (anchor.match(re))
      {
         var num = parseInt(anchor.substring(1, anchor.length-1));

         if (num > this.slides.length)
            num = 1;

         if (--num < 0)
            num = 0;

         return num;
      }

      // oh dear unknown anchor
      return 0;
    }

    // search for enclosing slide

    while (true)
    {
      // browser coerces html elements to uppercase!
      if (target.nodeName.toLowerCase() == "div" &&
            this.has_class(target, "slide"))
      {
        // found the slide element
        break;
      }

      // otherwise try parent element if any

      target = target.parentNode;

      if (!target)
      {
        return 0;   // no luck!
      }
    };

    for (i = 0; i < slides.length; ++i)
    {
      if (slides[i] == target)
        return i;  // success
    }

    // oh dear still no luck
    return 0;
  },

  previous_slide: function (incremental) {
    if (!w3c_slidy.view_all)
    {
      var slide;

      if ((incremental || w3c_slidy.slide_number == 0) && w3c_slidy.last_shown != null)
      {
        w3c_slidy.last_shown = w3c_slidy.hide_previous_item(w3c_slidy.last_shown);
        w3c_slidy.set_eos_status(false);
      }
      else if (w3c_slidy.slide_number > 0)
      {
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.hide_slide(slide);

        w3c_slidy.slide_number = w3c_slidy.slide_number - 1;
        slide = w3c_slidy.slides[w3c_slidy.slide_number];
        w3c_slidy.set_visibility_all_incremental("visible");
        w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);
        w3c_slidy.set_eos_status(true);
        w3c_slidy.show_slide(slide);
      }

      w3c_slidy.set_location();

      if (!w3c_slidy.ns_pos)
        w3c_slidy.refresh_toolbar(200);
    }
  },

  next_slide: function (incremental) {
    if (!w3c_slidy.view_all)
    {
      var slide, last = w3c_slidy.last_shown;

      if (incremental || w3c_slidy.slide_number == w3c_slidy.slides.length - 1)
         w3c_slidy.last_shown = w3c_slidy.reveal_next_item(w3c_slidy.last_shown);

      if ((!incremental || w3c_slidy.last_shown == null) &&
             w3c_slidy.slide_number < w3c_slidy.slides.length - 1)
      {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);

         w3c_slidy.slide_number = w3c_slidy.slide_number + 1;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.last_shown = null;
         w3c_slidy.set_visibility_all_incremental("hidden");
         w3c_slidy.show_slide(slide);
      }
      else if (!w3c_slidy.last_shown)
      {
         if (last && incremental)
           w3c_slidy.last_shown = last;
      }

      w3c_slidy.set_location();

      w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));

      if (!w3c_slidy.ns_pos)
         w3c_slidy.refresh_toolbar(200);
     }
  },

  // to first slide with nothing revealed
  // i.e. state at start of presentation
  first_slide: function () {
     if (!w3c_slidy.view_all)
     {
       var slide;

       if (w3c_slidy.slide_number != 0)
       {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);

         w3c_slidy.slide_number = 0;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.last_shown = null;
         w3c_slidy.set_visibility_all_incremental("hidden");
         w3c_slidy.show_slide(slide);
       }

       w3c_slidy.set_eos_status(
         !w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
       w3c_slidy.set_location();
     }
  },

  // goto last slide with everything revealed
  // i.e. state at end of presentation
  last_slide: function () {
    if (!w3c_slidy.view_all)
    {
      var slide;

      w3c_slidy.last_shown = null; //revealNextItem(lastShown);

      if (w3c_slidy.last_shown == null &&
          w3c_slidy.slide_number < w3c_slidy.slides.length - 1)
      {
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);
         w3c_slidy.slide_number = w3c_slidy.slides.length - 1;
         slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.set_visibility_all_incremental("visible");
         w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);

         w3c_slidy.show_slide(slide);
      }
      else
      {
         w3c_slidy.set_visibility_all_incremental("visible");
         w3c_slidy.last_shown = w3c_slidy.previous_incremental_item(null);
      }

      w3c_slidy.set_eos_status(true);
      w3c_slidy.set_location();
    }
  },


  // ### check this and consider add/remove class
  set_eos_status: function (state) {
    if (this.eos)
      this.eos.style.color = (state ? "rgb(240,240,240)" : "red");
  },

  // first slide is 0
  goto_slide: function (num) {
    //alert("going to slide " + (num+1));
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.slide_number = num;
    slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.last_shown = null;
    w3c_slidy.set_visibility_all_incremental("hidden");
    w3c_slidy.set_eos_status(!w3c_slidy.next_incremental_item(w3c_slidy.last_shown));
    document.title = w3c_slidy.title + " (" + (w3c_slidy.slide_number+1) + ")";
    w3c_slidy.show_slide(slide);
    w3c_slidy.show_slide_number();
  },


  show_slide: function (slide) {
    this.sync_background(slide);
    this.remove_class(slide, "hidden");

    // work around IE9 object rendering bug
    setTimeout("window.scrollTo(0,0);", 1);
  },

  hide_slide: function (slide) {
    this.add_class(slide, "hidden");
  },

  set_focus: function (element)
  {
    if (element)
      element.focus();
    else
    {
      w3c_slidy.help_anchor.focus();

      setTimeout(function() {
        w3c_slidy.help_anchor.blur();
      }, 1);
    }
  },

  // show just the backgrounds pertinent to this slide
  // when slide background-color is transparent
  // this should now work with rgba color values
  sync_background: function (slide) {
    var background;
    var bgColor;

    if (slide.currentStyle)
      bgColor = slide.currentStyle["backgroundColor"];
    else if (document.defaultView)
    {
      var styles = document.defaultView.getComputedStyle(slide,null);

      if (styles)
        bgColor = styles.getPropertyValue("background-color");
      else // broken implementation probably due Safari or Konqueror
      {
        //alert("defective implementation of getComputedStyle()");
        bgColor = "transparent";
      }
    }
    else
      bgColor == "transparent";

    if (bgColor == "transparent" ||
        bgColor.indexOf("rgba") >= 0 ||
        bgColor.indexOf("opacity") >= 0)
    {
      var slideClass = this.get_class_list(slide);

      for (var i = 0; i < this.backgrounds.length; i++)
      {
        background = this.backgrounds[i];

        var bgClass = this.get_class_list(background);

        if (this.matching_background(slideClass, bgClass))
          this.remove_class(background, "hidden");
        else
          this.add_class(background, "hidden");
      }
    }
    else // forcibly hide all backgrounds
      this.hide_backgrounds();
  },

  hide_backgrounds: function () {
    for (var i = 0; i < this.backgrounds.length; i++)
    {
      background = this.backgrounds[i];
      this.add_class(background, "hidden");
    }
  },

  // compare classes for slide and background
  matching_background: function (slideClass, bgClass) {
    var i, count, pattern, result;

    // define pattern as regular expression
    pattern = /\w+/g;

    // check background class names
    result = bgClass.match(pattern);

    for (i = count = 0; i < result.length; i++)
    {
      if (result[i] == "hidden")
        continue;

      if (result[i] == "background")
	continue;

      ++count;
    }

    if (count == 0)  // default match
      return true;

    // check for matches and place result in array
    result = slideClass.match(pattern);

    // now check if desired name is present for background
    for (i = count = 0; i < result.length; i++)
    {
      if (result[i] == "hidden")
        continue;

      if (this.has_token(bgClass, result[i]))
        return true;
    }

    return false;
  },

  resized: function () {
     var width = 0;

     if ( typeof( window.innerWidth ) == 'number' )
       width = window.innerWidth;  // Non IE browser
     else if (document.documentElement && document.documentElement.clientWidth)
       width = document.documentElement.clientWidth;  // IE6
     else if (document.body && document.body.clientWidth)
       width = document.body.clientWidth; // IE4

     var height = 0;

     if ( typeof( window.innerHeight ) == 'number' )
       height = window.innerHeight;  // Non IE browser
     else if (document.documentElement && document.documentElement.clientHeight)
       height = document.documentElement.clientHeight;  // IE6
     else if (document.body && document.body.clientHeight)
       height = document.body.clientHeight; // IE4

     if (height && (width/height > 1.05*1024/768))
     {
       width = height * 1024.0/768;
     }

     // IE fires onresize even when only font size is changed!
     // so we do a check to avoid blocking < and > actions
     if (width != w3c_slidy.last_width || height != w3c_slidy.last_height)
     {
       if (width >= 1100)
         w3c_slidy.size_index = 5;    // 4
       else if (width >= 1000)
         w3c_slidy.size_index = 4;    // 3
       else if (width >= 800)
         w3c_slidy.size_index = 3;    // 2
       else if (width >= 600)
         w3c_slidy.size_index = 2;    // 1
       else if (width)
         w3c_slidy.size_index = 0;

       // add in font size adjustment from meta element e.g.
       // <meta name="font-size-adjustment" content="-2" />
       // useful when slides have too much content ;-)

       if (0 <= w3c_slidy.size_index + w3c_slidy.size_adjustment &&
             w3c_slidy.size_index + w3c_slidy.size_adjustment < w3c_slidy.sizes.length)
         w3c_slidy.size_index = w3c_slidy.size_index + w3c_slidy.size_adjustment;

       // enables cross browser use of relative width/height
       // on object elements for use with SVG and Flash media
       w3c_slidy.adjust_object_dimensions(width, height);

       if (document.body.style.fontSize != w3c_slidy.sizes[w3c_slidy.size_index])
       {
         document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
       }

       w3c_slidy.last_width = width;
       w3c_slidy.last_height = height;

       // force reflow to work around Mozilla bug
       if (w3c_slidy.ns_pos)
       {
         var slide = w3c_slidy.slides[w3c_slidy.slide_number];
         w3c_slidy.hide_slide(slide);
         w3c_slidy.show_slide(slide);
       }

       // force correct positioning of toolbar
       w3c_slidy.refresh_toolbar(200);
     }
  },

  scrolled: function () {
    if (w3c_slidy.toolbar && !w3c_slidy.ns_pos && !w3c_slidy.ie7)
    {
      w3c_slidy.hack_offset = w3c_slidy.scroll_x_offset();
      // hide toolbar
      w3c_slidy.toolbar.style.display = "none";

      // make it reappear later
      if (w3c_slidy.scrollhack == 0 && !w3c_slidy.view_all)
      {
        setTimeout(function () {w3c_slidy.show_toolbar(); }, 1000);
        w3c_slidy.scrollhack = 1;
      }
    }
  },

  hide_toolbar: function () {
    w3c_slidy.add_class(w3c_slidy.toolbar, "hidden");
    window.focus();
  },

  // used to ensure IE refreshes toolbar in correct position
  refresh_toolbar: function (interval) {
    if (!w3c_slidy.ns_pos && !w3c_slidy.ie7)
    {
      w3c_slidy.hide_toolbar();
      setTimeout(function () {w3c_slidy.show_toolbar();}, interval);
    }
  },

  // restores toolbar after short delay
  show_toolbar: function () {
    if (w3c_slidy.want_toolbar)
    {
      w3c_slidy.toolbar.style.display = "block";

      if (!w3c_slidy.ns_pos)
      {
        // adjust position to allow for scrolling
        var xoffset = w3c_slidy.scroll_x_offset();
        w3c_slidy.toolbar.style.left = xoffset;
        w3c_slidy.toolbar.style.right = xoffset;

        // determine vertical scroll offset
        //var yoffset = scrollYOffset();

        // bottom is doc height - window height - scroll offset
        //var bottom = documentHeight() - lastHeight - yoffset

        //if (yoffset > 0 || documentHeight() > lastHeight)
        //   bottom += 16;  // allow for height of scrollbar

        w3c_slidy.toolbar.style.bottom = 0; //bottom;
      }

      w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden");
    }

    w3c_slidy.scrollhack = 0;


    // set the keyboard focus to the help link on the
    // toolbar to ensure that document has the focus
    // IE doesn't always work with window.focus()
    // and this hack has benefit of Enter for help

    try
    {
      if (!w3c_slidy.opera)
        w3c_slidy.set_focus();
    }
    catch (e)
    {
    }
  },

// invoked via F key
  toggle_toolbar: function () {
    if (!w3c_slidy.view_all)
    {
      if (w3c_slidy.has_class(w3c_slidy.toolbar, "hidden"))
      {
        w3c_slidy.remove_class(w3c_slidy.toolbar, "hidden")
        w3c_slidy.want_toolbar = 1;
      }
      else
      {
        w3c_slidy.add_class(w3c_slidy.toolbar, "hidden")
        w3c_slidy.want_toolbar = 0;
      }
    }
  },

  scroll_x_offset: function () {
    if (window.pageXOffset)
      return self.pageXOffset;

    if (document.documentElement && 
             document.documentElement.scrollLeft)
      return document.documentElement.scrollLeft;

    if (document.body)
      return document.body.scrollLeft;

    return 0;
  },

  scroll_y_offset: function () {
    if (window.pageYOffset)
      return self.pageYOffset;

    if (document.documentElement && 
             document.documentElement.scrollTop)
      return document.documentElement.scrollTop;

    if (document.body)
      return document.body.scrollTop;

    return 0;
  },

  // looking for a way to determine height of slide content
  // the slide itself is set to the height of the window
  optimize_font_size: function () {
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    //var dh = documentHeight(); //getDocHeight(document);
    var dh = slide.scrollHeight;
    var wh = getWindowHeight();
    var u = 100 * dh / wh;

    alert("window utilization = " + u + "% (doc "
      + dh + " win " + wh + ")");
  },

  // from document object
  get_doc_height: function (doc) {
    if (!doc)
      doc = document;

    if (doc && doc.body && doc.body.offsetHeight)
      return doc.body.offsetHeight;  // ns/gecko syntax

    if (doc && doc.body && doc.body.scrollHeight)
      return doc.body.scrollHeight;

    alert("couldn't determine document height");
  },

  get_window_height: function () {
    if ( typeof( window.innerHeight ) == 'number' )
      return window.innerHeight;  // Non IE browser

    if (document.documentElement && document.documentElement.clientHeight)
      return document.documentElement.clientHeight;  // IE6

    if (document.body && document.body.clientHeight)
      return document.body.clientHeight; // IE4
  },

  document_height: function () {
    var sh, oh;

    sh = document.body.scrollHeight;
    oh = document.body.offsetHeight;

    if (sh && oh)
    {
      return (sh > oh ? sh : oh);
    }

    // no idea!
    return 0;
  },

  smaller: function () {
    if (w3c_slidy.size_index > 0)
    {
      --w3c_slidy.size_index;
    }

    w3c_slidy.toolbar.style.display = "none";
    document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.show_slide(slide);
    setTimeout(function () {w3c_slidy.show_toolbar(); }, 50);
  },

  bigger: function () {
    if (w3c_slidy.size_index < w3c_slidy.sizes.length - 1)
    {
      ++w3c_slidy.size_index;
    }

    w3c_slidy.toolbar.style.display = "none";
    document.body.style.fontSize = w3c_slidy.sizes[w3c_slidy.size_index];
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];
    w3c_slidy.hide_slide(slide);
    w3c_slidy.show_slide(slide);
    setTimeout(function () {w3c_slidy.show_toolbar(); }, 50);
  },

  // enables cross browser use of relative width/height
  // on object elements for use with SVG and Flash media
  // with thanks to Ivan Herman for the suggestion
  adjust_object_dimensions: function (width, height) {
    for( var i = 0; i < w3c_slidy.objects.length; i++ )
    {
      var obj = this.objects[i];
      var mimeType = obj.getAttribute("type");

      if (mimeType == "image/svg+xml" || mimeType == "application/x-shockwave-flash")
      {
        if ( !obj.initialWidth ) 
          obj.initialWidth = obj.getAttribute("width");

        if ( !obj.initialHeight ) 
          obj.initialHeight = obj.getAttribute("height");

        if ( obj.initialWidth && obj.initialWidth.charAt(obj.initialWidth.length-1) == "%" )
        {
          var w = parseInt(obj.initialWidth.slice(0, obj.initialWidth.length-1));
          var newW = width * (w/100.0);
          obj.setAttribute("width",newW);
        }

        if ( obj.initialHeight &&
             obj.initialHeight.charAt(obj.initialHeight.length-1) == "%" )
        {
          var h = parseInt(obj.initialHeight.slice(0, obj.initialHeight.length-1));
          var newH = height * (h/100.0);
          obj.setAttribute("height", newH);
        }
      }
    }
  },

  // needed for Opera to inhibit default behavior
  // since Opera delivers keyPress even if keyDown
  // was cancelled
  key_press: function (event) {
    if (!event)
      event = window.event;

    if (!w3c_slidy.key_wanted)
      return w3c_slidy.cancel(event);

    return true;
  },

  //  See e.g. http://www.quirksmode.org/js/events/keys.html for keycodes
  key_down: function (event) {
    var key, target, tag;

    w3c_slidy.key_wanted = true;

    if (!event)
      event = window.event;

    // kludge around NS/IE differences 
    if (window.event)
    {
      key = window.event.keyCode;
      target = window.event.srcElement;
    }
    else if (event.which)
    {
      key = event.which;
      target = event.target;
    }
    else
      return true; // Yikes! unknown browser

    // ignore event if key value is zero
    // as for alt on Opera and Konqueror
    if (!key)
       return true;

    // avoid interfering with keystroke
    // behavior for non-slidy chrome elements
    if (!w3c_slidy.slidy_chrome(target) &&
        w3c_slidy.special_element(target))
      return true;

    // check for concurrent control/command/alt key
    // but are these only present on mouse events?

    if (event.ctrlKey || event.altKey || event.metaKey)
       return true;

    // dismiss table of contents if visible
    if (w3c_slidy.is_shown_toc() && key != 9 && key != 16 && key != 38 && key != 40)
    {
      w3c_slidy.hide_table_of_contents(true);

      if (key == 27 || key == 84 || key == 67)
        return w3c_slidy.cancel(event);
    }

    if (key == 34) // Page Down
    {
      if (w3c_slidy.view_all)
        return true;

      w3c_slidy.next_slide(false);
      return w3c_slidy.cancel(event);
    }
    else if (key == 33) // Page Up
    {
      if (w3c_slidy.view_all)
        return true;

      w3c_slidy.previous_slide(false);
      return w3c_slidy.cancel(event);
    }
    else if (key == 32) // space bar
    {
      w3c_slidy.next_slide(true);
      return w3c_slidy.cancel(event);
    }
    else if (key == 37) // Left arrow
    {
      w3c_slidy.previous_slide(!event.shiftKey);
      return w3c_slidy.cancel(event);
    }
    else if (key == 36) // Home
    {
      w3c_slidy.first_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 35) // End
    {
      w3c_slidy.last_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 39) // Right arrow
    {
      w3c_slidy.next_slide(!event.shiftKey);
      return w3c_slidy.cancel(event);
    }
    else if (key == 13) // Enter
    {
      if (w3c_slidy.outline)
      {
        if (w3c_slidy.outline.visible)
          w3c_slidy.fold(w3c_slidy.outline);
        else
          w3c_slidy.unfold(w3c_slidy.outline);
          
       return w3c_slidy.cancel(event);
      }
    }
    else if (key == 188)  // < for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 190)  // > for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 189 || key == 109)  // - for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 187 || key == 191 || key == 107)  // = +  for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 83)  // S for smaller fonts
    {
      w3c_slidy.smaller();
      return w3c_slidy.cancel(event);
    }
    else if (key == 66)  // B for larger fonts
    {
      w3c_slidy.bigger();
      return w3c_slidy.cancel(event);
    }
    else if (key == 90)  // Z for last slide
    {
      w3c_slidy.last_slide();
      return w3c_slidy.cancel(event);
    }
    else if (key == 70)  // F for toggle toolbar
    {
      w3c_slidy.toggle_toolbar();
      return w3c_slidy.cancel(event);
    }
    else if (key == 65)  // A for toggle view single/all slides
    {
      w3c_slidy.toggle_view();
      return w3c_slidy.cancel(event);
    }
    else if (key == 75)  // toggle action of left click for next page
    {
      w3c_slidy.mouse_click_enabled = !w3c_slidy.mouse_click_enabled;
      var alert_msg = (w3c_slidy.mouse_click_enabled ?
                "enabled" : "disabled") +  " mouse click advance";

      alert(w3c_slidy.localize(alert_msg));
      return w3c_slidy.cancel(event);
    }
    else if (key == 84 || key == 67)  // T or C for table of contents
    {
      if (w3c_slidy.toc)
        w3c_slidy.toggle_table_of_contents();

      return w3c_slidy.cancel(event);
    }
    else if (key == 72) // H for help
    {
      window.location = w3c_slidy.help_page;
      return w3c_slidy.cancel(event);
    }
    //else alert("key code is "+ key);

    return true;
  },

  // safe for both text/html and application/xhtml+xml
  create_element: function (name) {
    if (this.xhtml && (typeof document.createElementNS != 'undefined'))
      return document.createElementNS("http://www.w3.org/1999/xhtml", name)

    return document.createElement(name);
  },

  get_element_style: function (elem, IEStyleProp, CSSStyleProp) {
    if (elem.currentStyle)
    {
      return elem.currentStyle[IEStyleProp];
    }
    else if (window.getComputedStyle)
    {
      var compStyle = window.getComputedStyle(elem, "");
      return compStyle.getPropertyValue(CSSStyleProp);
    }
    return "";
  },

  // the string str is a whitespace separated list of tokens
  // test if str contains a particular token, e.g. "slide"
  has_token: function (str, token) {
    if (str)
    {
      // define pattern as regular expression
      var pattern = /\w+/g;

      // check for matches
      // place result in array
      var result = str.match(pattern);

      // now check if desired token is present
      for (var i = 0; i < result.length; i++)
      {
        if (result[i] == token)
          return true;
      }
    }

    return false;
  },

  get_class_list: function (element) {
    if (typeof element.className != 'undefined')
      return element.className;

    return element.getAttribute("class");
  },

  has_class: function (element, name) {
    if (element.nodeType != 1)
      return false;

    var regexp = new RegExp("(^| )" + name + "\W*");

    if (typeof element.className != 'undefined')
      return regexp.test(element.className);

    return regexp.test(element.getAttribute("class"));
  },

  remove_class: function (element, name) {
    var regexp = new RegExp("(^| )" + name + "\W*");
    var clsval = "";

    if (typeof element.className != 'undefined')
    {
      clsval = element.className;

      if (clsval)
      {
        clsval = clsval.replace(regexp, "");
        element.className = clsval;
      }
    }
    else
    {
      clsval = element.getAttribute("class");

      if (clsval)
      {
        clsval = clsval.replace(regexp, "");
        element.setAttribute("class", clsval);
      }
    }
  },

  add_class: function (element, name) {
    if (!this.has_class(element, name))
    {
      if (typeof element.className != 'undefined')
        element.className += " " + name;
      else
      {
        var clsval = element.getAttribute("class");
        clsval = clsval ? clsval + " " + name : name;
        element.setAttribute("class", clsval);
      }
    }
  },

  // HTML elements that can be used with class="incremental"
  // note that you can also put the class on containers like
  // up, ol, dl, and div to make their contents appear
  // incrementally. Upper case is used since this is what
  // browsers report for HTML node names (text/html).
  incremental_elements: null,
  okay_for_incremental: function (name) {
    if (!this.incremental_elements)
    {
      var inclist = new Array();
      inclist["p"] = true;
      inclist["pre"] = true;
      inclist["li"] = true;
      inclist["blockquote"] = true;
      inclist["dt"] = true;
      inclist["dd"] = true;
      inclist["h2"] = true;
      inclist["h3"] = true;
      inclist["h4"] = true;
      inclist["h5"] = true;
      inclist["h6"] = true;
      inclist["span"] = true;
      inclist["address"] = true;
      inclist["table"] = true;
      inclist["tr"] = true;
      inclist["th"] = true;
      inclist["td"] = true;
      inclist["img"] = true;
      inclist["object"] = true;
      this.incremental_elements = inclist;
    }
    return this.incremental_elements[name.toLowerCase()];
  },

  next_incremental_item: function (node) {
    var br = this.is_xhtml ? "br" : "BR";
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    for (;;)
    {
      node = w3c_slidy.next_node(slide, node);

      if (node == null || node.parentNode == null)
        break;

      if (node.nodeType == 1)  // ELEMENT
      {
        if (node.nodeName == br)
          continue;

        if (w3c_slidy.has_class(node, "incremental")
             && w3c_slidy.okay_for_incremental(node.nodeName))
          return node;

        if (w3c_slidy.has_class(node.parentNode, "incremental")
             && !w3c_slidy.has_class(node, "non-incremental"))
          return node;
      }
    }

    return node;
  },

  previous_incremental_item: function (node) {
    var br = this.is_xhtml ? "br" : "BR";
    var slide = w3c_slidy.slides[w3c_slidy.slide_number];

    for (;;)
    {
      node = w3c_slidy.previous_node(slide, node);

      if (node == null || node.parentNode == null)
        break;

      if (node.nodeType == 1)
      {
        if (node.nodeName == br)
          continue;

        if (w3c_slidy.has_class(node, "incremental")
             && w3c_slidy.okay_for_incremental(node.nodeName))
          return node;

        if (w3c_slidy.has_class(node.parentNode, "incremental")
             && !w3c_slidy.has_class(node, "non-incremental"))
          return node;
      }
    }

    return node;
  },

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// for each language define an associative array
// and also the help text which is longer

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    "help?":"Ayuda",
    "contents?":"Índice",
    "table of contents":"tabla de contenidos",
    "Table of Contents":"Tabla de Contenidos",
    "restart presentation":"Reiniciar presentación",
    "restart?":"Inicio"
  },
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    "help?":"Ajuda",
    "contents?":"Índex",
    "table of contents":"taula de continguts",
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    "restart presentation":"Reiniciar presentació",
    "restart?":"Inici"
  },
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    "help?":"nápověda",
    "contents?":"obsah",
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    "restart presentation":"znovu spustit prezentaci",
    "restart?":"restart"
  },
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    "help?":"Help?",
    "contents?":"Inhoud?",
    "table of contents":"inhoudsopgave",
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    "restart presentation":"herstart presentatie",
    "restart?":"Herstart?"
  },
  help_nl:
     "Navigeer d.m.v. het muis, spatiebar, Links/Rechts toetsen, " +
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    "slide":"Seite",
    "help?":"Hilfe",
    "contents?":"Übersicht",
    "table of contents":"Inhaltsverzeichnis",
    "Table of Contents":"Inhaltsverzeichnis",
    "restart presentation":"Präsentation neu starten",
    "restart?":"Neustart"
  },
  help_de:
    "Benutzen Sie die Maus, Leerschlag, die Cursortasten links/rechts oder " +
    "Page up/Page Down zum Wechseln der Seiten und S und B für die Schriftgrösse.",

  strings_pl: {
    "slide":"slajd",
    "help?":"pomoc?",
    "contents?":"spis treści?",
    "table of contents":"spis treści",
    "Table of Contents":"Spis Treści",
    "restart presentation":"Restartuj prezentację",
    "restart?":"restart?"
  },
  help_pl:
    "Zmieniaj slajdy klikając myszą, naciskając spację, strzałki lewo/prawo" +
    "lub PgUp / PgDn. Użyj klawiszy S i B, aby zmienić rozmiar czczionki.",

  strings_fr: {
    "slide":"page",
    "help?":"Aide",
    "contents?":"Index",
    "table of contents":"table des matières",
    "Table of Contents":"Table des matières",
    "restart presentation":"Recommencer l'exposé",
    "restart?":"Début"
  },
  help_fr:
    "Naviguez avec la souris, la barre d'espace, les flèches " +
    "gauche/droite ou les touches Pg Up, Pg Dn. Utilisez " +
    "les touches S et B pour modifier la taille de la police.",

  strings_hu: {
    "slide":"oldal",
    "help?":"segítség",
    "contents?":"tartalom",
    "table of contents":"tartalomjegyzék",
    "Table of Contents":"Tartalomjegyzék",
    "restart presentation":"bemutató újraindítása",
    "restart?":"újraindítás"
  },
  help_hu:
    "Az oldalak közti lépkedéshez kattintson az egérrel, vagy " +
    "használja a szóköz, a bal, vagy a jobb nyíl, illetve a Page Down, " +
    "Page Up billentyűket. Az S és a B billentyűkkel változtathatja " +
    "a szöveg méretét.",

  strings_it: {
    "slide":"pag.",
    "help?":"Aiuto",
    "contents?":"Indice",
    "table of contents":"indice",
    "Table of Contents":"Indice",
    "restart presentation":"Ricominciare la presentazione",
    "restart?":"Inizio"
  },
  help_it:
    "Navigare con mouse, barra spazio, frecce sinistra/destra o " +
    "PgUp e PgDn. Usare S e B per cambiare la dimensione dei caratteri.",

  strings_el: {
    "slide":"σελίδα",
    "help?":"βοήθεια;",
    "contents?":"περιεχόμενα;",
    "table of contents":"πίνακας περιεχομένων",
    "Table of Contents":"Πίνακας Περιεχομένων",
    "restart presentation":"επανεκκίνηση παρουσίασης",
    "restart?":"επανεκκίνηση;"
  },
  help_el:
    "Πλοηγηθείτε με το κλίκ του ποντικιού, το space, τα βέλη αριστερά/δεξιά, " +
    "ή Page Up και Page Down. Χρησιμοποιήστε τα πλήκτρα S και B για να αλλάξετε " +
    "το μέγεθος της γραμματοσειράς.",

  strings_ja: {
    "slide":"スライド",
    "help?":"ヘルプ",
    "contents?":"目次",
    "table of contents":"目次を表示",
    "Table of Contents":"目次",
    "restart presentation":"最初から再生",
    "restart?":"最初から"
  },
  help_ja:
     "マウス左クリック ・ スペース ・ 左右キー " +
     "または Page Up ・ Page Downで操作， S ・ Bでフォントサイズ変更",

  strings_zh: {
    "slide":"幻灯片",
    "help?":"帮助?",
    "contents?":"内容?",
    "table of contents":"目录",
    "Table of Contents":"目录",
    "restart presentation":"重新启动展示",
    "restart?":"重新启动?"
  },
  help_zh:
    "用鼠标点击, 空格条, 左右箭头, Pg Up 和 Pg Dn 导航. " +
    "用 S, B 改变字体大小.",

  strings_ru: {
    "slide":"слайд",
    "help?":"помощь?",
    "contents?":"содержание?",
    "table of contents":"оглавление",
    "Table of Contents":"Оглавление",
    "restart presentation":"перезапустить презентацию",
    "restart?":"перезапуск?"
  },
  help_ru:
    "Перемещайтесь кликая мышкой, используя клавишу пробел, стрелки" +
    "влево/вправо или Pg Up и Pg Dn. Клавиши S и B меняют размер шрифта.",

  strings_sv: {
    "slide":"sida",
    "help?":"hjälp",
    "contents?":"innehåll",
    "table of contents":"innehållsförteckning",
    "Table of Contents":"Innehållsförteckning",
    "restart presentation":"visa presentationen från början",
    "restart?":"börja om"
  },
  help_sv:
    "Bläddra med ett klick med vänstra musknappen, mellanslagstangenten, " +
    "vänster- och högerpiltangenterna eller tangenterna Pg Up, Pg Dn. " +
    "Använd tangenterna S och B för att ändra textens storlek.",

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    // each such language array is declared in the localize array
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      "es":this.strings_es,
      "ca":this.strings_ca,
      "cs":this.strings_cs,
      "nl":this.strings_nl,
      "de":this.strings_de,
      "pl":this.strings_pl,
      "fr":this.strings_fr,
      "hu":this.strings_hu,
      "it":this.strings_it,
      "el":this.strings_el,
      "jp":this.strings_ja,
      "zh":this.strings_zh,
      "ru":this.strings_ru,
      "sv":this.strings_sv
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    i18n.strings_es[help_text] = i18n.help_es;
    i18n.strings_ca[help_text] = i18n.help_ca;
    i18n.strings_cs[help_text] = i18n.help_cs;
    i18n.strings_nl[help_text] = i18n.help_nl;
    i18n.strings_de[help_text] = i18n.help_de;
    i18n.strings_pl[help_text] = i18n.help_pl;
    i18n.strings_fr[help_text] = i18n.help_fr;
    i18n.strings_hu[help_text] = i18n.help_hu;
    i18n.strings_it[help_text] = i18n.help_it;
    i18n.strings_el[help_text] = i18n.help_el;
    i18n.strings_ja[help_text] = i18n.help_ja;
    i18n.strings_zh[help_text] = i18n.help_zh;
    i18n.strings_ru[help_text] = i18n.help_ru;
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// hack for back button behavior
if (w3c_slidy.ie6 || w3c_slidy.ie7)
{
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}

// attach event listeners for initialization
w3c_slidy.set_up();

// hide the slides as soon as body element is available
// to reduce annoying screen mess before the onload event
setTimeout(w3c_slidy.hide_slides, 50);

"></script>
<script>(function() {
if (!window.w3c_slidy) return;
if (!window.Shiny) return;
if (!window.$) return;
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</script>
</head>
<body>
<div class="slide titlepage">
<h1 class="title">Basic Tools For Forecasting</h1>
<p class="author">
Week 5 R-lab<br />Re-visit German Forecasts (Data Example)
</p>
<p class="date">06/10/2021</p>
</div>
<div id="data-example-german-forecasts" class="slide section level1">
<h1>Data Example: German Forecasts</h1>
<p>R Environment Preparation</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1"></a><span class="co">#Load the required packages to execute the Assignment.</span></span>
<span id="cb1-2"><a href="#cb1-2"></a><span class="kw">library</span>(zoo)</span>
<span id="cb1-3"><a href="#cb1-3"></a><span class="kw">library</span>(readxl)</span>
<span id="cb1-4"><a href="#cb1-4"></a><span class="kw">library</span>(forecast)</span>
<span id="cb1-5"><a href="#cb1-5"></a><span class="kw">library</span>(quantmod)</span>
<span id="cb1-6"><a href="#cb1-6"></a><span class="kw">library</span>(ggplot2)</span></code></pre></div>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1"></a><span class="co"># Set working directory</span></span>
<span id="cb2-2"><a href="#cb2-2"></a><span class="kw">setwd</span>(<span class="st">"C:/Users/fanzh/OneDrive - University of Cincinnati/UC_couse/000_Teaching_4090_SS21/DataSet"</span>)</span></code></pre></div>
</div>
<div id="data-example-contd" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<p>There are several ways to load external data:</p>
<ul>
<li><a href="German_forecasts.xlsx">German Forecasts Excel</a></li>
<li>Read an Excel file in xlsx format into R/RStudio (<code>read_xlsx() function</code>)</li>
</ul>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1"></a>German <-<span class="kw">read_xlsx</span>(<span class="st">"German_forecasts.xlsx"</span>)</span>
<span id="cb3-2"><a href="#cb3-2"></a><span class="kw">str</span>(German)</span></code></pre></div>
<pre><code>## tibble [25 x 9] (S3: tbl_df/tbl/data.frame)
## $ Institutions: chr [1:25] "Bundesbank" "Commerzbank" "Deka" "Deutsche Bank" ...
## $ GDP : num [1:25] 0.4 0.5 0.7 0.3 0.9 0.4 1.2 1 1.1 0.6 ...
## $ Privcons : num [1:25] 1 1.3 1.1 0.6 1.1 0.9 1.2 1.1 1.2 1 ...
## $ GFCF : num [1:25] -0.1 0.1 -0.3 1.1 0.9 0.1 1.9 1.9 2.6 0.5 ...
## $ Exports : num [1:25] 1.9 2.8 3.3 3.2 4.2 3 4.1 3.8 5.5 2.9 ...
## $ Imports : num [1:25] 3 4.1 3.3 4.2 4.6 3.8 4.1 4.6 5 4.1 ...
## $ Govsurp : num [1:25] -0.75 -0.5 -0.3 -0.5 0 -0.7 -0.3 -0.2 0 -0.4 ...
## $ Consprix : num [1:25] 1.5 1.9 1.9 1.7 2.8 2.1 2 2.1 2 2 ...
## $ Unemp : num [1:25] 7.2 7.1 6.9 7 7 7.1 6.6 6.8 7 7 ...</code></pre>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1"></a><span class="co"># To read an Excel file in xls format into R, </span></span>
<span id="cb5-2"><a href="#cb5-2"></a><span class="co"># we would use read_xlsx()function with quotation marks (") to denote that Excel file .</span></span></code></pre></div>
</div>
<div id="data-example-contd-1" class="slide section level1">
<h1>Data Example (cont’d)</h1>
<ul>
<li><p><a href="data_German_forecasts.Rdata">German Forecasts R Data</a></p></li>
<li><p>Load an RData file into R/RStudio (<code>load() function</code>)</p></li>
</ul>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1"></a><span class="kw">load</span>(<span class="st">"data_German_forecasts.Rdata"</span>) </span>
<span id="cb6-2"><a href="#cb6-2"></a>German_<span class="dv">2</span><-<span class="st"> </span>data_German_forecasts</span>
<span id="cb6-3"><a href="#cb6-3"></a><span class="kw">str</span>(German_<span class="dv">2</span>)</span></code></pre></div>
<pre><code>## 'data.frame': 25 obs. of 9 variables:
## $ ï..Institutions: Factor w/ 25 levels "Bundesbank","Commerzbank",..: 1 2 3 4 5 6 7 8 9 10 ...
## $ GDP : num 0.4 0.5 0.7 0.3 0.9 0.4 1.2 1 1.1 0.6 ...
## $ Privcons : num 1 1.3 1.1 0.6 1.1 0.9 1.2 1.1 1.2 1 ...
## $ GFCF : num -0.1 0.1 -0.3 1.1 0.9 0.1 1.9 1.9 2.6 0.5 ...
## $ Exports : num 1.9 2.8 3.3 3.2 4.2 3 4.1 3.8 5.5 2.9 ...
## $ Imports : num 3 4.1 3.3 4.2 4.6 3.8 4.1 4.6 5 4.1 ...
## $ Govsurp : num -0.75 -0.5 -0.3 -0.5 0 -0.7 -0.3 -0.2 0 -0.4 ...
## $ Consprix : num 1.5 1.9 1.9 1.7 2.8 2.1 2 2.1 2 2 ...
## $ Unemp : num 7.2 7.1 6.9 7 7 7.1 6.6 6.8 7 7 ...</code></pre>
</div>
<div id="main-questions" class="slide section level1">
<h1>Main Questions</h1>
<ul>
<li>What is the sample size?</li>
<li>Any outliers?</li>
<li>How to summarize the data of each variable in a concise way? What statistics are we going to present?</li>
<li>How to visualize the distribution of each variable?</li>
<li>Do we see any skewed distributions?</li>
<li>Can we identify the correlation coefficients among the eight variables that are statistically significant?</li>
</ul>
</div>
<div id="what-is-the-sample-size" class="slide section level1">
<h1>What is the sample size?</h1>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1"></a><span class="kw">dim</span>(German)[<span class="dv">1</span>]</span></code></pre></div>
<pre><code>## [1] 25</code></pre>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1"></a><span class="kw">nrow</span>(German)</span></code></pre></div>
<pre><code>## [1] 25</code></pre>
<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb12-1"><a href="#cb12-1"></a><span class="kw">str</span>(German)</span></code></pre></div>
<pre><code>## tibble [25 x 9] (S3: tbl_df/tbl/data.frame)
## $ Institutions: chr [1:25] "Bundesbank" "Commerzbank" "Deka" "Deutsche Bank" ...
## $ GDP : num [1:25] 0.4 0.5 0.7 0.3 0.9 0.4 1.2 1 1.1 0.6 ...
## $ Privcons : num [1:25] 1 1.3 1.1 0.6 1.1 0.9 1.2 1.1 1.2 1 ...
## $ GFCF : num [1:25] -0.1 0.1 -0.3 1.1 0.9 0.1 1.9 1.9 2.6 0.5 ...
## $ Exports : num [1:25] 1.9 2.8 3.3 3.2 4.2 3 4.1 3.8 5.5 2.9 ...
## $ Imports : num [1:25] 3 4.1 3.3 4.2 4.6 3.8 4.1 4.6 5 4.1 ...
## $ Govsurp : num [1:25] -0.75 -0.5 -0.3 -0.5 0 -0.7 -0.3 -0.2 0 -0.4 ...
## $ Consprix : num [1:25] 1.5 1.9 1.9 1.7 2.8 2.1 2 2.1 2 2 ...
## $ Unemp : num [1:25] 7.2 7.1 6.9 7 7 7.1 6.6 6.8 7 7 ...</code></pre>
</div>
<div id="any-outliers" class="slide section level1">
<h1>Any outliers?</h1>
<ul>
<li><p>Identifying outliers with z-scores</p></li>
<li><p>A rule of thumb: an observation with z-score greater than 3 or less than -3 is considered to be an outlier.</p></li>
<li><p>This rule of thumb is based on the empirical rule. From this rule we see that almost all of the data (99.7%) should be within three standard deviations from the mean. By calculating the z-score we are standardizing the observation, meaning the standard deviation (s)is now <strong>1</strong>. Thus from the empirical rule we expect 99.7% of the z-scores to be within -3 and 3.</p></li>
</ul>
<center>
<img 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" style="width:38.0%" />
</center>
</div>
<div id="any-outliers-contd" class="slide section level1">
<h1>Any outliers? (cont’d)</h1>
<ul>
<li>For example: Consumer Prices (Consprix)</li>
</ul>
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb14-1"><a href="#cb14-1"></a><span class="kw">cbind</span>(German[,<span class="dv">1</span>], <span class="kw">scale</span>(German<span class="op">$</span>Consprix))</span></code></pre></div>
<pre><code>## Institutions scale(German$Consprix)
## 1 Bundesbank -1.4626070
## 2 Commerzbank 0.0222732
## 3 Deka 0.0222732
## 4 Deutsche Bank -0.7201669
## 5 DIW 3.3632536
## 6 DZ Bank 0.7647133
## 7 Feri 0.3934932
## 8 Gemeinschaftsdiagnose 0.7647133
## 9 Helaba 0.3934932
## 10 HSBC 0.3934932
## 11 HWWI 0.0222732
## 12 Ifo -1.0913869
## 13 IfW 0.3934932
## 14 IKB 0.0222732
## 15 IMK -0.7201669
## 16 ING 0.3934932
## 17 IW -0.5345569
## 18 IWH 0.3934932
## 19 Kiel Economics -1.0913869
## 20 Landesbank Berlin -1.0913869
## 21 MM Wartburg -1.4626070
## 22 Postbank 0.3934932
## 23 RWI -0.7201669
## 24 UBS 0.7647133
## 25 Wirtschaftsweise 0.3934932</code></pre>
</div>
<div id="any-outliers-contd-1" class="slide section level1">
<h1>Any outliers? (cont’d)</h1>
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb16-1"><a href="#cb16-1"></a><span class="kw">cbind</span>(German[,<span class="dv">1</span>], <span class="kw">round</span>(<span class="kw">scale</span>(German[,<span class="op">-</span><span class="dv">1</span>]),<span class="dv">3</span>))</span></code></pre></div>
<pre><code>## Institutions GDP Privcons GFCF Exports Imports Govsurp
## 1 Bundesbank -1.134 0.437 -0.840 -1.520 -0.713 -1.848
## 2 Commerzbank -0.732 1.429 -0.618 -0.573 0.421 -0.835
## 3 Deka 0.072 0.767 -1.062 -0.046 -0.404 -0.024
## 4 Deutsche Bank -1.536 -0.886 0.493 -0.152 0.524 -0.835
## 5 DIW 0.877 0.767 0.271 0.901 0.936 1.191
## 6 DZ Bank -1.134 0.106 -0.618 -0.362 0.111 -1.645
## 7 Feri 2.083 1.098 1.382 0.796 0.421 -0.024
## 8 Gemeinschaftsdiagnose 1.279 0.767 1.382 0.480 0.936 0.381
## 9 Helaba 1.681 1.098 2.160 2.269 1.349 1.191
## 10 HSBC -0.330 0.437 -0.173 -0.467 0.421 -0.430
## 11 HWWI -0.732 0.437 0.049 0.164 0.730 0.786
## 12 Ifo 0.072 -0.556 0.049 -0.362 -0.404 0.786
## 13 IfW -1.536 -0.886 -0.062 -0.467 0.214 -0.835
## 14 IKB 0.474 0.106 -1.395 1.006 0.318 0.786
## 15 IMK 0.474 -0.556 -0.729 0.164 -0.095 1.191
## 16 ING 0.474 -1.548 0.604 -2.888 -3.394 0.381
## 17 IW 0.273 -1.217 0.938 0.691 0.318 1.191
## 18 IWH 0.072 -1.548 -0.396 0.691 0.008 -0.024
## 19 Kiel Economics 1.279 1.759 0.382 0.269 0.421 0.786
## 20 Landesbank Berlin -0.732 0.437 0.049 -1.204 -0.817 -2.050
## 21 MM Wartburg -0.330 -0.556 -1.618 0.901 -2.157 1.191
## 22 Postbank -0.330 0.437 -0.284 0.375 0.627 -0.024
## 23 RWI -1.536 -2.209 -1.951 -0.362 -0.507 -0.835
## 24 UBS 0.474 0.106 1.160 -0.783 0.214 0.381
## 25 Wirtschaftsweise 0.474 -0.225 0.827 0.480 0.524 -0.835
## Consprix Unemp
## 1 -1.463 1.553
## 2 0.022 0.998
## 3 0.022 -0.111
## 4 -0.720 0.444
## 5 3.363 0.444
## 6 0.765 0.998
## 7 0.393 -1.775
## 8 0.765 -0.666
## 9 0.393 0.444
## 10 0.393 0.444
## 11 0.022 -1.775
## 12 -1.091 -0.111
## 13 0.393 0.444
## 14 0.022 -0.111
## 15 -0.720 0.444
## 16 0.393 -0.111
## 17 -0.535 -2.330
## 18 0.393 -1.220
## 19 -1.091 -0.666
## 20 -1.091 -0.666
## 21 -1.463 0.444
## 22 0.393 0.998
## 23 -0.720 0.444
## 24 0.765 1.553
## 25 0.393 -0.111</code></pre>
</div>
<div id="how-to-summarize-the-data-of-each-variable-in-a-concise-way" class="slide section level1">
<h1>How to summarize the data of each variable in a concise way?</h1>
<ul>
<li><p>What statistics are we going to present?</p></li>
<li><p>For example: Consumer Prices (Consprix)</p></li>
</ul>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb18-1"><a href="#cb18-1"></a><span class="kw">summary</span>(German<span class="op">$</span>Consprix)</span></code></pre></div>
<pre><code>## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.500 1.700 1.900 1.894 2.000 2.800</code></pre>
<div class="sourceCode" id="cb20"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb20-1"><a href="#cb20-1"></a><span class="kw">sd</span>(German<span class="op">$</span>Consprix)</span></code></pre></div>
<pre><code>## [1] 0.269382</code></pre>
</div>
<div id="how-to-summarize-the-data-of-each-variable-in-a-concise-way-contd" class="slide section level1">
<h1>How to summarize the data of each variable in a concise way? (cont’d)</h1>
<div class="sourceCode" id="cb22"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb22-1"><a href="#cb22-1"></a><span class="kw">summary</span>(German[,<span class="op">-</span><span class="dv">1</span>])</span></code></pre></div>
<pre><code>## GDP Privcons GFCF Exports
## Min. :0.300 Min. :0.200 Min. :-1.100 Min. :0.600
## 1st Qu.:0.500 1st Qu.:0.700 1st Qu.: 0.100 1st Qu.:2.900
## Median :0.700 Median :0.900 Median : 0.700 Median :3.500
## Mean :0.682 Mean :0.868 Mean : 0.656 Mean :3.344
## 3rd Qu.:0.800 3rd Qu.:1.100 3rd Qu.: 1.200 3rd Qu.:4.000
## Max. :1.200 Max. :1.400 Max. : 2.600 Max. :5.500
## Imports Govsurp Consprix Unemp
## Min. :0.400 Min. :-0.800 Min. :1.500 Min. :6.50
## 1st Qu.:3.300 1st Qu.:-0.500 1st Qu.:1.700 1st Qu.:6.80
## Median :4.000 Median :-0.300 Median :1.900 Median :7.00
## Mean :3.692 Mean :-0.294 Mean :1.894 Mean :6.92
## 3rd Qu.:4.200 3rd Qu.:-0.100 3rd Qu.:2.000 3rd Qu.:7.00
## Max. :5.000 Max. : 0.000 Max. :2.800 Max. :7.20</code></pre>
<div class="sourceCode" id="cb24"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb24-1"><a href="#cb24-1"></a><span class="kw">apply</span>(German[,<span class="op">-</span><span class="dv">1</span>],<span class="dv">2</span>,sd)</span></code></pre></div>
<pre><code>## GDP Privcons GFCF Exports Imports Govsurp Consprix Unemp
## 0.2486966 0.3023795 0.9000370 0.9500351 0.9699313 0.2467793 0.2693820 0.1802776</code></pre>
</div>
<div id="how-to-visualize-the-distribution-of-each-variable" class="slide section level1">
<h1>How to visualize the distribution of each variable?</h1>
<ul>
<li>If a variable of interest is numeric type, we can use a histogram to visualize a distribution of the variable.</li>
<li>For example: Consumer Prices (Consprix)</li>
</ul>
<div class="sourceCode" id="cb26"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb26-1"><a href="#cb26-1"></a><span class="kw">hist</span>(German<span class="op">$</span>Consprix)</span></code></pre></div>
<p><img src="data:image/png;base64,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" width="768" /></p>
</div>
<div id="how-to-visualize-the-distribution-of-each-variable-contd" class="slide section level1">
<h1>How to visualize the distribution of each variable? (cont’d)</h1>
<div class="sourceCode" id="cb27"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb27-1"><a href="#cb27-1"></a><span class="kw">hist</span>(German<span class="op">$</span>Consprix, <span class="dt">prob=</span><span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="kw">sprintf</span>(<span class="st">'Histogram of Consprix'</span>)) <span class="co"># histogram </span></span>
<span id="cb27-2"><a href="#cb27-2"></a><span class="kw">lines</span>(<span class="kw">density</span>(German<span class="op">$</span>Consprix)) <span class="co"># smooth it - ?density for details </span></span></code></pre></div>
<p><img 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" width="768" /></p>
</div>
<div id="do-we-see-any-skewed-distributions" class="slide section level1">
<h1>Do we see any skewed distributions?</h1>
<p>Note: negatively skewed vs. positively skewed</p>
<ul>
<li>A negative value typically indicates that the shape has longer tails on the left side, hence called skewed left or negatively skewed. The median is larger than the mean.</li>
<li>A positive value typically indicates that the shape has longer tails on the right side, hence called skewed right or positively skewed. The median is smaller than the mean.</li>
</ul>
</div>
<div id="do-we-see-any-skewed-distributions-contd" class="slide section level1">
<h1>Do we see any skewed distributions? (cont’d)</h1>
<ul>
<li>For example: Consumer Prices (Consprix)</li>
</ul>
<div class="sourceCode" id="cb28"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb28-1"><a href="#cb28-1"></a><span class="kw">hist</span>(German<span class="op">$</span>Consprix, <span class="dt">prob=</span><span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="kw">sprintf</span>(<span class="st">'Histogram of Consprix'</span>)) <span class="co"># histogram </span></span>
<span id="cb28-2"><a href="#cb28-2"></a><span class="kw">lines</span>(<span class="kw">density</span>(German<span class="op">$</span>Consprix)) <span class="co"># smooth it - ?density for details </span></span></code></pre></div>
<p><img 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" width="768" /></p>
</div>
<div id="can-we-identify-the-correlation-coefficients-that-are-statistically-significant" class="slide section level1">
<h1>Can we identify the correlation coefficients that are statistically significant?</h1>
<ul>
<li><p>If the correlation coefficient is statistical significance, it means we have an evidence that the correlation coefficient is not exactly zero. In other words, we have an evidence that there is a linear relationship between the variables(a coefficient of 0 indicates that there is no linear relationship).</p></li>
<li><p>If the correlation coefficient is NOT statistical significance, it means there is inconclusive evidence about the significance of the association between the variables.</p></li>
</ul>
</div>
<div id="can-we-identify-the-correlation-coefficients-that-are-statistically-significant-contd" class="slide section level1">
<h1>Can we identify the correlation coefficients that are statistically significant? (cont’d)</h1>
<ul>
<li><p>The correlation between GDP and Govsurp is 0.62 and its correlation coefficient is statistical significance (with star(s)).</p></li>
<li><p>The correlation between GDP and Consprix is 0.32 and its correlation coefficient is NOT statistical significance (without stars).</p></li>
</ul>
<div class="sourceCode" id="cb29"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb29-1"><a href="#cb29-1"></a><span class="kw">library</span>(<span class="st">"PerformanceAnalytics"</span>)</span>
<span id="cb29-2"><a href="#cb29-2"></a>my_data <-<span class="st"> </span>German[,<span class="op">-</span><span class="dv">1</span>]</span>
<span id="cb29-3"><a href="#cb29-3"></a><span class="kw">chart.Correlation</span>(<span class="dt">R =</span> my_data, <span class="dt">histogram=</span><span class="ot">TRUE</span>, <span class="dt">pch=</span><span class="dv">19</span>)</span></code></pre></div>
<p><img src="data:image/png;base64,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" width="768" /></p>
</div>
<div id="scatter-plot-matrices" class="slide section level1">
<h1>Scatter Plot Matrices</h1>
<div class="sourceCode" id="cb30"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb30-1"><a href="#cb30-1"></a><span class="kw">pairs</span>(<span class="dt">x =</span> German[,<span class="kw">c</span>(<span class="st">"GDP"</span>, <span class="st">"GFCF"</span>, <span class="st">"Govsurp"</span>, <span class="st">"Unemp"</span>)], <span class="dt">pch =</span> <span class="dv">19</span>)</span></code></pre></div>
<p><img 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" width="768" /></p>
<div class="sourceCode" id="cb31"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb31-1"><a href="#cb31-1"></a><span class="co"># Use the c() function to combine character values into a vector (or a list)</span></span>
<span id="cb31-2"><a href="#cb31-2"></a><span class="co"># Use indexed character vectors to select named column(s) or row(s) </span></span></code></pre></div>
</div>
<div id="exercise" class="slide section level1">
<h1>Exercise</h1>
<ul>
<li>Check correlation between GDP and GFCF</li>
</ul>
<div class="sourceCode" id="cb32"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb32-1"><a href="#cb32-1"></a><span class="kw">cov</span>(German<span class="op">$</span>GDP, German<span class="op">$</span>GFCF); <span class="kw">sd</span>(German<span class="op">$</span>GDP); <span class="kw">sd</span>(German<span class="op">$</span>GFCF)</span></code></pre></div>
<pre><code>## [1] 0.1345917</code></pre>
<pre><code>## [1] 0.2486966</code></pre>
<pre><code>## [1] 0.900037</code></pre>
<div class="sourceCode" id="cb36"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb36-1"><a href="#cb36-1"></a><span class="kw">cov</span>(German<span class="op">$</span>GDP, German<span class="op">$</span>GFCF) <span class="op">/</span><span class="st"> </span>(<span class="kw">sd</span>(German<span class="op">$</span>GDP) <span class="op">*</span><span class="st"> </span><span class="kw">sd</span>(German<span class="op">$</span>GFCF))</span></code></pre></div>
<pre><code>## [1] 0.6012955</code></pre>
<div class="sourceCode" id="cb38"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb38-1"><a href="#cb38-1"></a><span class="co"># What is the meaning of the dollar “$” in R function()?</span></span>
<span id="cb38-2"><a href="#cb38-2"></a><span class="co"># the $allows you extract elements by name from a named list.</span></span></code></pre></div>
</div>
<div id="revisit-any-outliers" class="slide section level1">
<h1>Revisit: Any outliers?</h1>
<ul>
<li>An alternative approach to identify outliers is to use a box-plot and interquartile rule :1.5<span class="math inline">\(\times\)</span>IQR rule.</li>
</ul>
<center>
<img 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" style="width:38.0%" />
</center>
<ul>
<li>Boxplots are a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).</li>
</ul>
<center>
<img 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" style="width:38.0%" />
</center>
<ul>
<li>Note: this determines how far the plot ‘whiskers’ extend out from the box. If coef is positive, the whiskers extend to the most extreme data point which is no more than coef times the length of the box away from the box.</li>
</ul>
</div>
<div id="revisit-any-outliers-contd" class="slide section level1">
<h1>Revisit: Any outliers? (cont’d)</h1>
<p>For example: Consumer Prices (Consprix)</p>
<ul>
<li>In R, we can use a boxplot() function</li>
</ul>
<div class="sourceCode" id="cb39"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb39-1"><a href="#cb39-1"></a><span class="kw">boxplot</span>(<span class="dt">x =</span> German<span class="op">$</span>Consprix)</span></code></pre></div>
<p><img src="data:image/png;base64,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" width="768" /></p>
<div class="sourceCode" id="cb40"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb40-1"><a href="#cb40-1"></a><span class="kw">boxplot</span>(<span class="dt">x =</span> German<span class="op">$</span>Consprix,<span class="dt">horizontal =</span> <span class="ot">TRUE</span>, <span class="dt">main =</span> <span class="kw">sprintf</span>(<span class="st">'Boxplot of Consprix'</span>))</span></code></pre></div>
<p><img 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" width="768" /></p>
</div>
<div id="revisit-any-outliers-contd-1" class="slide section level1">
<h1>Revisit: Any outliers? (cont’d)</h1>
<ul>
<li>In R, we can use a boxplot() function</li>
</ul>
<div class="sourceCode" id="cb41"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb41-1"><a href="#cb41-1"></a><span class="kw">boxplot</span>(<span class="dt">x =</span> German<span class="op">$</span>Consprix, </span>
<span id="cb41-2"><a href="#cb41-2"></a> <span class="dt">horizontal =</span> <span class="ot">TRUE</span>, </span>
<span id="cb41-3"><a href="#cb41-3"></a> <span class="dt">main =</span> <span class="kw">sprintf</span>(<span class="st">'Boxplot of Consprix'</span>),</span>
<span id="cb41-4"><a href="#cb41-4"></a> <span class="dt">xlab =</span> <span class="st">'Consprix'</span>)</span></code></pre></div>
<p><img 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" width="768" /></p>
</div>
<div id="revisit-any-outliers-contd-2" class="slide section level1">
<h1>Revisit: Any outliers? (cont’d)</h1>
<div class="sourceCode" id="cb42"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb42-1"><a href="#cb42-1"></a><span class="kw">boxplot.stats</span>(German<span class="op">$</span>Consprix, <span class="dt">coef =</span> <span class="fl">1.5</span>, <span class="dt">do.conf=</span><span class="ot">TRUE</span>, <span class="dt">do.out=</span><span class="ot">TRUE</span>)</span></code></pre></div>
<pre><code>## $stats
## [1] 1.5 1.7 1.9 2.0 2.1
##
## $n
## [1] 25
##
## $conf
## [1] 1.8052 1.9948
##
## $out
## [1] 2.8</code></pre>
<div class="sourceCode" id="cb44"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb44-1"><a href="#cb44-1"></a><span class="kw">boxplot.stats</span>(German<span class="op">$</span>Consprix, <span class="dt">coef =</span> <span class="fl">1.5</span>, <span class="dt">do.conf=</span><span class="ot">TRUE</span>, <span class="dt">do.out=</span><span class="ot">TRUE</span>)<span class="op">$</span>out</span></code></pre></div>
<pre><code>## [1] 2.8</code></pre>
<div class="sourceCode" id="cb46"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb46-1"><a href="#cb46-1"></a><span class="kw">which</span>(German<span class="op">$</span>Consprix<span class="op">%in%</span><span class="kw">c</span>(<span class="fl">2.8</span>))</span></code></pre></div>
<pre><code>## [1] 5</code></pre>
<div class="sourceCode" id="cb48"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb48-1"><a href="#cb48-1"></a>German<span class="op">$</span>Institutions[<span class="dv">5</span>]</span></code></pre></div>
<pre><code>## [1] "DIW"</code></pre>
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