# Chi-Square Test vs. F Test

# What is the difference between Chi-square test and F Test?

### Purpose:

These two statistical procedures are used for different purposes.

The** chi-square test** is used when you want to know whether there is a statistical difference between two categorical variables (e.g., gender and preferred car color).

The **F test**, on the other hand, is used when you want to know whether there is a statistical difference between two continuous variables (e.g., height and weight).

### Statistics Using Excel

### Distribution:

The **chi-square test** is non parametric. That means this test does not make any assumption about the distribution of the data.

The **F test** is a parametric test. It assumes that data are normally distributed and that samples are independent from one another.

### Types of Tests:

**Chi square test:**

- For testing the population variance against a specified value

- For testing goodness of fit of some probability distribution

- Testing for independence of two attributes (Contingency Tables)**F test**

- For testing equality of two variances from different populations

- For testing equality of several means with technique of ANOVA.