An educator has obtained class average scores on a standardized test for classes from each grade from first through seventh at each of four schools in a city. These are shown in the following table. To assess differences among schools, the educator decides to conduct a randomized-blocks ANOVA, treating grade as a blocking factor.

a. Conduct the appropriate analysis, using the accompanying computer output.
b. Provide F tests about school and grade differences, using α = .05. What do you conclude?
c. Why might using the children's individual scores be better than using mean scores?
Dependent Variable: SCORE

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Sur-70 5 6 9 3 5 77 8 o o 2 7 5 60 82 74 68 79 72 77 86 101 100 0492097315392 8 76778676 797 8 ra | 5 6 7 1 2 3 4 5 6 7 1 2 3 5 6 7 1 2 3 4 5 6 7 2 3 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 4 516 78 2222 F Value Pr> F DF Sum of SquaresMean Square Source Model Error Corrected Total 222.853135 2.07 0.0905 2005.678214 1939.268571 27 3944 946786 18 107.737143 R-Square Coeff Var Root MSE score Mean 10.37965 74.76071 0.508417 13.88383 Source DF school grade Type ISS Mean Square FValue Pr> F 1131.063929 377.021310 3.50 0.0370 874 614286 145.769048 35 0.2857 Source DF Type IlISS Mean Square F school grade Value Pr> F 131.063929 874.614286 377.021310 145.769048 3 3.50 0.0370 6 1.35 0.2857