You realized that a series of t-tests might lead you falsely conclude that there

Question

You realized that a series of t-tests might lead you falsely conclude that there are mean differences between groups that don't really exist. Instead, you decide to perform an ANOVA. Your first step will be to calculate different sums of squares and then variance estimates from your data. If the mean differences in standardized test scores between your groups of students are real (they really exist in the population), which of the following would you expect to find in your data? Select one:

a. S2between will be equal to S2within

b. S2between will be much larger than S2within

c. S2within will be much larger than S2between

Explanation / Answer

when we need to find the mean difference between the mean difference then the basic step is to calculate the sum of squares and also the variance of the data. if the mean difference are exist for real then S2 will be much larger then the S2 within as this will generate the existence of the mean difference. hence option B is true.

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