Elementary Statistics with R

A tutorial on performing the Chi-squared goodness of fit test for independent variables.

A tutorial on performing the Chi-squared goodness of fit test for multinomial population.

Many statistical quantities derived from data samples are found to follow the Chi-squared distribution. Hence we can use it to test whether a population fits a particular theoretical probability distribution.

A tutorial on statistical inference about difference between two population proportions.

A tutorial on statistical inference about population mean between two independent samples.

A tutorial on statistical inference about population mean between two matched samples.

It is often necessary to draw conclusion on the difference between two populations by their data samples. In the following tutorials, we discuss how to estimate the difference of means and proportions between two normally distributed data populations.

A tutorial on two-tailed test on hypothesis of population proportion.

A tutorial on upper tail test on hypothesis of population proportion.

A tutorial on lower tail test on hypothesis of population proportion