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+---
+title: "SELECTED DESCRIPTIVE AND INFERENTIAL STATISTICS IN R FOR UNDERGRADUATE PROJECT"
+output:
+  word_document: default
+  html_document:
+    df_print: paged
+---
+BEING A PRACTICAL AND DEMONSTRATION SESSION HELD ON THURSDAY, 18TH MAY, 2023 AT STATISTICS DEPARTMENT, THE FEDERAL POLYTECHNIC OFFA
+
+BY
+DR. ABDULKABIR MURITALA
+
+
+# Descriptives Statistics simulation
+```{r}
+x=rnorm(100)
+mean(x)
+```
+
+
+```{r}
+var(x)
+```
+
+
+```{r}
+sd(x)
+```
+
+
+```{r}
+median(x)
+```
+
+
+```{r}
+summary(x)
+```
+
+
+```{r}
+barplot(x)
+```
+
+
+```{r}
+hist(x)
+```
+
+
+```{r}
+qqnorm(x)
+```
+
+
+```{r}
+boxplot(x)
+```
+
+
+```{r}
+dotchart(x)
+```
+
+#Real life data
+```{r}
+x=c(1,3,5,6,7,8,9,3,2,4)
+y=c(2,3,5,6,7,8,4,3,2,1)
+z=c(2,3,4,1,2,5,6,7,8,9)
+boxplot(x,y,z)
+```
+
+
+```{r}
+boxplot(x,y,z,horizontal=T)
+```
+
+
+```{r}
+boxplot(x,y,z,horizontal=T,names=c("A","B","C"))
+```
+
+
+```{r}
+boxplot(x,y,z,horizontal=T,names=c("A","B","C"),col=c("red","black","blue"))
+```
+
+
+```{r}
+par(mfrow=c(2,2))
+barplot(x,y,z)
+hist(x)
+```
+
+#Inferential Statistics
+##chi sqaure
+```{r}
+data <- matrix(c(100, 70, 20, 90, 75, 25), ncol=3, byrow=TRUE)
+colnames(data) <- c("Rep","Dem","Ind")
+rownames(data) <- c("Male","Female")
+data <- as.table(data)
+data
+```
+
+
+```{r}
+chisq.test(data)
+```
+
+#one sample t.test
+```{r}
+daily.sales=c(5260,5470,5640,6180,6390,6515,6805,7515,7515,8230,8770)
+```
+
+
+```{r}
+mean(daily.sales)
+```
+
+
+```{r}
+sd(daily.sales)
+```
+
+
+```{r}
+quantile(daily.sales)
+```
+
+
+```{r}
+t.test(daily.sales)
+```
+
+
+```{r}
+t.test(daily.sales,mu=7000)
+```
+
+#Two sample
+```{r}
+dat=read.csv("hnd.csv")
+attach(dat)
+t.test(exp~sex,var.equal=T)
+```
+
+#Paired sample t-test
+```{r}
+dat=read.csv("hnd2.csv")
+t.test(dat$pre,dat$post,paired=T)
+```
+
+#Regression
+```{r}
+x1=runif(50,2,3)
+x2=rnorm(50,4,1)
+y=2*x1+x2
+dat=data.frame(y,x1,x2)
+m1=lm(y~x1+x2,dat)
+m1
+```
+
+```{r}
+summary(m1)
+```
+
+
+```{r}
+predict(m1)
+```
+
+```{r}
+plot(y,x1)
+```
+#Correlation
+```{r}
+x1=rnorm(100,2,1)
+x2=rnorm(100,2,4)
+cor(x1,x2)
+```
+
+
+```{r}
+cor.test(x1,x2)
+```
+
+
+```{r}
+cor.test(x1,x2,method="spearman")
+```
+
+
+```{r}
+cor.test(x1,x2,method="kendall")
+```
+
+#One way ANOVA
+```{r}
+x1=runif(50,2,3)
+y=2*x1+x1
+anova(lm(y~x1))
+```
+#Two way Anova
+```{r}
+x1=runif(50,2,3)
+x2=rnorm(50,4,1)
+y=2*x1+x2
+dat=data.frame(y,x1,x2)
+anova(lm(y~x1+x2,dat))
+```
+
+#Two way Anova with replication
+```{r}
+x1=runif(50,2,3)
+x2=rnorm(50,4,1)
+y=2*x1+x2
+dat=data.frame(y,x1,x2)
+anova(lm(y~x1*x2,dat))
+```
+
+
+#Time series
+```{r}
+Infla=ts(c(13.8,15.7,3.2,5.4,13.2,34.4,23.7,15.6,16.6),start= c(1970,1))
+plot(Infla)
+```
+
+
+```{r}
+acf(Infla)
+```
+
+
+```{r}
+pacf(Infla)
+```
+
+
+```{r}
+library(tseries)
+adf.test(Infla)
+```
+
+
+```{r}
+adf.test(diff(Infla))
+```