24. The following data represent results of a 22 factorial experiment in a 4x4 Latin square. (1) 9 b ab 13 10 39 a a 11 ab 12 (1) 8. 40 10 (1) 6 a 8 ab 10 34 ab 12 a 12 (1) 9 40 42 37 36 38 153 Sum of...

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Extracted text: 24. The following data represent results of a 22 factorial experiment in a 4x4 Latin square. (1) 9 b ab 13 10 39 a a 11 ab 12 (1) 8. 40 10 (1) 6 a 8 ab 10 34 ab 12 a 12 (1) 9 40 42 37 36 38 153 Sum of squares of the 16 observations is 1527 (a) Analyze the data, testing for the interactions and main effects and allowing for row and column nuisance factors. (b) Do you need to carry out multiple comparisons? Explain your answer.