Elementary Statistics with R

A tutorial on the prediction interval for a simple linear regression model.

A tutorial on the confidence interval for a simple linear regression model.

A tutorial on the significance test for a simple linear regression model.

A tutorial on the coefficient of determination for a simple linear regression model.

A tutorial on estimated regression equation for a simple linear regression model.

A simple linear regression model that describes the relationship between two variables x and y can be expressed by the following equation. The numbers α and β are called parameters, and ϵ is the error term.

A tutorial on analysis of variance (ANOVA) for factorial experimental design.

A tutorial on analysis of variance (ANOVA) for randomized block experimental design.

A tutorial on analysis of variance (ANOVA) for completely randomized experimental design.

In an experiment study, various treatments are applied to test subjects and the response data is gathered for analysis. A critical tool for carrying out the analysis is the Analysis of Variance (ANOVA). It enables a researcher to differentiate treatment results based on easily computed statistical quantities from the treatment outcome.