A balanced experimental design has a sample size of n = 12 observations at each of k = 7 factor levels. The total sum of squares is SST = 133.18, and the sample averages are x1.= 7.75, X2, = 8.41, ī3. = 8.07, X4. = 8.30, ī5. = 8.17, X6. = 8.81, and ī7. = 8.32. Compute the analysis of variance table. (Hint: Calculate SSTT and then subtract it from SST to obtain SSE.) What is the p- value?

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A balanced experimental design has a sample size of n = 12 observations at each of k = 7 factor
levels. The total sum of squares is SST = 133.18, and the sample averages are x1.= 7.75,
X2. = 8.41, ī3. = 8.07, X4. = 8.30, ī5. = 8.17, ī6. = 8.81, and X7. = 8.32. Compute the analysis of
variance table. (Hint: Calculate SSTR and then subtract it from SST to obtain SSE.) What is the p-
value?
Transcribed Image Text:A balanced experimental design has a sample size of n = 12 observations at each of k = 7 factor levels. The total sum of squares is SST = 133.18, and the sample averages are x1.= 7.75, X2. = 8.41, ī3. = 8.07, X4. = 8.30, ī5. = 8.17, ī6. = 8.81, and X7. = 8.32. Compute the analysis of variance table. (Hint: Calculate SSTR and then subtract it from SST to obtain SSE.) What is the p- value?
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