Given four populations with equal means and equal variances,an F distribution for situations with samples of 10 scores each could be created by
A)applying the t test formula to each pair of samples,squaring the results to obtain F ratios,then repeating this process a large number of times.
B)applying the analysis of variance formula to a set of four samples (one from each of the four populations)of 10 scores each,determining the degrees of freedom,and repeating this process a large number of times.
C)taking 10 samples from each of the four populations,figuring the F ratio,and repeating this process a large number of times.
D)taking samples of 10 scores from each of the four populations,figuring an F ratio for each set of samples,and repeating this process a large number of times.

Question

Quizplus · Accepted Answer

Creating an F distribution for situations with samples of 10 scores each involves taking samples of 10 scores from each of the four populations, figuring an F ratio for each set of samples, and repeating this process a large number of times. This is the process used in conducting an ANOVA, which is the appropriate statistical test to compare the means of multiple populations. By taking multiple samples from each population and calculating the F ratio for each sample set, we can create an F distribution that represents the expected distribution of F ratios if the null hypothesis (that all populations have equal means) is true.

Given Four Populations with Equal Means and Equal Variances,an F