Workshop 25

Workshop 25 - CHEN 3010 Applied Data Analysis Fall 2004...

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CHEN 3010 Applied Data Analysis Fall 2004 Names:__________________________ __________________________ Workshop #25 2 2 Factorial Design Objective To practice in setting up and computing the key quantities in a 2 2 factorial design. Procedure 1. The following results come from a series of fatigue tests on a material at a constant stress of 22 MPa. The response is crack growth rate and the factors are cyclic loading frequency whether the material has been subjected to water or salt water. water salt water 2.06 1.90 2.05 1.93 2.23 1.75 2.03 2.06 3.20 3.10 3.18 3.24 3.96 3.98 3.64 10 1 Frequency Environment 2. Consider Frequency to be factor A and the Environment to be factor B. Complete the experimental design table below. Treat ment AB 1 2 3 4 Total Avg s 2 (1) -1 -1 a+ 1 - 1 b- 1 + 1 ab +1
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CHEN 3010 Workshop #25 Page 2 3. Compute the contrasts and effects. Contrast Effect A B AB 4. Compute an estimate of the effect error variance and standard error. Average the variance estimates for the four treatments: ˆ σ e 2 = _________ The number of replicates is: n = ____ The number of factors is: k = ____ The number of levels is: l = ____ Compute the effect error variance estimate: ˆ
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Workshop 25 - CHEN 3010 Applied Data Analysis Fall 2004...

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