Question

The greater the value of the F ratio _________.

Answer 1

Answer:

The F ratio is the ratio of two mean square values. If the null hypothesis is true, you expect F to have a value close to 1.0 most of the time. A large F ratio means that the variation among group means is more than you'd expect to see by chance.

Explanation:

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Answer 2

Main Answer:

The F-ratio compares the variance within your treatments to the variance between them. Alternatively, F = (difference between treatments) / (variation within treatments). You anticipate that F will typically have a value close to 1.0.

Explanation:

How is the f ratio determined?

Two variance estimations are made in order to compute the F ratio. The difference between samples an estimate of n2 where n is the number of samples and v is the variance of the sample means (when the sample sizes are the same.). The variation between samples is weighted to account for the various sample sizes if the samples are of different sizes.

The squares of the relevant t-distribution values correspond to the values of the F distribution. The t-test is expanded by one-way ANOVA when comparing more than two groups. That derivation's extent exceeds the depth of this course. Two variance estimations are made in order to compute the F ratio.

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