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The larger the differences among the sample means, the larger the numerator of the F-ratio will...

  1. The larger the differences among the sample means, the larger the numerator of the F-ratio will be in an analysis of variance.

    True

    False

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Answer #1

Solution:

F - ratio in ANOVA:

F-ratio compares the actual mean differences between treatments with the amount of difference that would be expected if there were no treatment effect.

numerator of the F-ratio measures the actual mean differences between treatments. i.e diffence between the sample mean

A large value for the F-ratio indicates the differences between sample means are larger.

i.e Large value for the F-ratio indicates the differences between treatments are greater than would be expected without any treatment effect.

Hence ,The larger the differences among the sample means, the larger the numerator of the F-ratio will be in an analysis of variance.

Ans: True

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