Question: An educator wanted to compare 3 methods for teaching reading in the first grade. To do this eight schools were selected at random and in each school three classes of first graders were chosen and each of the three classes was randomly assigned to a method. The experiment was replicated (in the same schools) the following year so that he had a total of 48 classes of first graders. He has summarized the achievement scores for these 2-way data in the following analysis of variance table.

SOURCE SS DF MS F_______p-value___________

Rows (Schools) 7

Columns (Methods) 44

Interaction 70

Error

Total: 139 47

Assume for the sake of computation that the rows and the columns are fixed Complete the analysis of variance table above and interpret your results.