The article Variation in Moisture and Ascorbic Acid

Chapter 11, Problem 11.35

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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: 1317) 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. Leaf Size (B) 123 1 6.67 (5) 7.15 (4) 8.29 (1) 2 5.40 (2) 4.77 (5) 5.40 (4) Plant (A) 3 7.32 (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) 4 5 1 8.95 (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) When all three factors are random, the expected mean squares are E(MSA) 2 N2 A, E(MSB) 2 N2 B, E(MSC) 2 N2 C, and E(MSE) 2 . This implies that the F ratios for testing H0A: 2 A 0, H0B: 2 B 0, and H0C: 2 C 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. 36. The art