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Several factors influence the size of the F-ratio. For 1a and 1b, select the pai

ID: 3217031 • Letter: S

Question

Several factors influence the size of the F-ratio. For 1a and 1b, select the pair that best represents whether the following factors influence the numerator or the denominator of the F-ratio, as well as whether the size of the F-ratio would increase or decrease as a result. Note: In each case, assume that all other factors are held constant.

1a. An increase in the difference between the sample means.

Denominator/Decrease

Numerator/Increase

Numerator/Decrease

Denominator/Increase

1b. An increase in the size of the sample variances.

Denominator/Decrease

Numerator/Increase

Numerator/Decrease

Denominator/Increase

Explanation / Answer

1a) As the differences between sample means increase, MSbetween also increases, and the F- ratio increases.

1b) Increases in sample variability cause MSwithin to increase and, thereby, decrease the F- ratio

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