Math and Arithmetic

Statistics

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# What is the F ratio test and how is it different from Chi square square test?

###### Wiki User

###### 2008-04-29 02:34:29

A F-ratio test compares 2 variances and tell if they are

significantly different. A Chi-square test compares count data.

## Related Questions

###### Asked in Math and Arithmetic

### What is F-ratio?

The F-ratio is a statistical ratio which arises as the ratio of
two chi-square distributions.
If X and Y are two random variables which are independent and
approximately normally distributed, then their variances have
chi-squared distributions. The ration of these chi-square
distributions, appropriately scaled, is called the F-ratio.
The F-ratio is used extensively in analysis of variance to
determine what proportion of the variation in the dependent
variable is explained by an explanatory variable (and the model
being tested).

###### Asked in Statistics

### When is the chi-test used?

There are many chi-squared tests. You may mean the chi-square
goodness-of-fit test or chi-square test for independence. Here is
what they are used for.
A test of goodness of fit establishes if an observed
frequency differs from a theoretical distribution.
A test of independence looks at whether paired
observations on two variables, expressed in a contingency table,
are independent of each.