Consider the following 2^4 experiment with 2 replicates of available data. Assume that you can only...

 

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Consider the following 2^4 experiment with 2 replicates of available data. Assume that you can only use half of the data (as you have to pay for it). Conduct an ANOVA using a 1/2 Fractional factorial approach. Use ABCD as the degin generator. -1 a b с d ab ad ac bc bd cd abc bcd abd acd abcd A -1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 B -1 -1 1 -1 -1 1 -1 -1 1 1 -1 1 1 1 -1 1 C -1 -1 -1 1 -1 -1 -1 1 1 -1 1 1 1 -1 1 1 D -1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 1 1 1 1 AB AC AD BC BD Copy the appropriate rows from the above and create your fractional factorial table in the space below. Then conduct the ANOVA and calculate p-values for all factors and interactions. Ignore the aliased interactions. CD ABC ABD BCD ACD ABCD 1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 1 Repl 40 69 45 67 40 70 95 66 82 53 69 67 110 75 82 95 Data Rep II 45 64 49 71 35 72 99 65 79 58 62 69 105 77 83 92 Consider the following 2^4 experiment with 2 replicates of available data. Assume that you can only use half of the data (as you have to pay for it). Conduct an ANOVA using a 1/2 Fractional factorial approach. Use ABCD as the degin generator. -1 a b с d ab ad ac bc bd cd abc bcd abd acd abcd A -1 1 -1 -1 -1 1 1 1 -1 -1 -1 1 -1 1 1 1 B -1 -1 1 -1 -1 1 -1 -1 1 1 -1 1 1 1 -1 1 C -1 -1 -1 1 -1 -1 -1 1 1 -1 1 1 1 -1 1 1 D -1 -1 -1 -1 1 -1 1 -1 -1 1 1 -1 1 1 1 1 AB AC AD BC BD Copy the appropriate rows from the above and create your fractional factorial table in the space below. Then conduct the ANOVA and calculate p-values for all factors and interactions. Ignore the aliased interactions. CD ABC ABD BCD ACD ABCD 1 -1 -1 -1 -1 1 1 1 1 1 1 -1 -1 -1 -1 1 Repl 40 69 45 67 40 70 95 66 82 53 69 67 110 75 82 95 Data Rep II 45 64 49 71 35 72 99 65 79 58 62 69 105 77 83 92

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