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1. Consider the following 25 experiment. ABCDE y 00000 23 ABCDE V 00001 20 00100 24 01000 27 01100 30 10000 15 10100 20

 

1. Consider the following 25 experiment. ABCDE y 00000 23 ABCDE V 00001 20 00100 24 01000 27 01100 30 10000 15 10100 20 11000 27 11100 31 00101 21 01001 25 01101 24 10001 18 10101 25 11001 32 11101 34 ABCDE V 00010 23 00110 29 01010 28 01110 31 10010 24 10110 26 11010 33 11110 33 ABCDE 00011 14 00111 22 01011 24 01111 25 10011 22 10111 31 11011 36 11111 36 Suppose that in this experiment, the ABC and CDE effects were actually confounded with blocks. a) Identify the treatment combinations that occur in each of the blocks. b) Give an analysis of this data assuming that the 3-factor and higher order interactions can be used to estimate experimental error. What is your estimate of the experimental error variance? What effects appear to be significant at the 5% significance level?

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