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You wish to compare mathematics scores on the CRCT for students exposed to three different teaching methods across the state of Georgia. What size sample do you anticipate is needed?
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Use the Maxwell and Delaney table to determine sample size here. Since no other information is given about what to expect in terms of group differences in mathematics, assume the smallest effect size provided in the table $(d=.25)$ as a conservative estimate.

There are three groups, alpha $=.05$ (since that is the only table value for alpha provided), and assume beta $=.20$ (so power is $1-.2=.80$ ). Since there are 3 groups, the sample size of 310 is per group, so the total sample size would be $310 * 3=930$.
by Diamond (89,036 points)

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