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F Distribution

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The F-distribution is used to compare the variances of two populations. It is defined as the ratio of two normally distributed populations' variances. The F-distribution depends on the degrees of freedom v1 and v2, which are based on the sample sizes. The null hypothesis is that the two populations have equal variances, and the F-statistic is calculated to test this. If the calculated F exceeds the critical table value, the null hypothesis is rejected.

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The F - Distribution
The F Distribution ,[object Object],[object Object],[object Object],[object Object]
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Probability density function ,[object Object],[object Object]
Properties of F-distribution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Testing of hypothesis for equality of two variances ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem 1 ,[object Object],[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem 2 ,[object Object],[object Object],[object Object]
Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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F Distribution

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