The article "Variation in Moisture and Ascorbic Acid Content from Leaf to Leaf and Plant to Plant in Turnip Greens" (Southern Cooperative Services Bull., 1951: 13-17) uses a Latin square design in which factor A is plant, factor B is leaf size (smallest to largest), factor C (in parentheses) is time of weighing, and the response variable is moisture content.

When all three factors are random, the expected mean squares are E(MSA) = (2 + N(2A , E(MSB) = (2 + N(2B, E(MSC) = (2 + N(2c , and E(MSE) = (2. This implies that the F ratios for testing H0A: (2A = 0, H0B: (B2 = 0, and H0C: (2C = 0 are identical to those for fixed effects. Obtain the ANOVA table and test at level .05 to see whether there is any variation in moisture content due to the factors?

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Leaf Size (B) 1 6.67 (5) 7.15 (4) 8.29 (1) 2 5.40 (2) 4.77 (5)540 (4) Plant (A) 37.32 (3) 8.53 (2) 8.50 (5) 4 4.92 (1) 5.00 (3) 7.29 (2) 5 4.88 (4) 6.16(1) 7.83 (3) Leaf Size (B) 18.95 (3) 9.62 (2) 2 7.54(1) 6.93 (3) Plant (A) 3 9.99 (4) 9.68 (1) 4 7.85 (5) 7.08 (4) 5 5.83 (2) 8.51 (5)