Engineers are studying the effect of temperature on the processing time for a pa

Question

Engineers are studying the effect of temperature on the processing time for a particular material. Although they know that differences among batches and operators also cause some variation, they are not interested in investigating the effect of these factors. They design an experiment to investigate the effect of temperature on the processing time while controlling for the effects of batches and operators. The following data were collected for this experiment: Operator Marginal Totals 39 C- 10 B- 7 A-5 D- 10 D= 14 C-18 B- 10 A 10 52 A- 7 D-11 C 11 8-12 B-8 A= 8 D- 9 C 14 39 Batch 35 46 Grand Total: Marginal Totals 32 41 164 Marginal Totals 30 37 53 1. Calculate the Sum of Squares for the treatment factor:

Explanation / Answer

anova table

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance B1 4 39 9.75 9.583333 B2 4 44 11 24.66667 B3 4 35 8.75 6.916667 B4 4 46 11.5 3.666667 O1 4 32 8 6 O2 4 52 13 14.66667 O3 4 41 10.25 4.916667 O4 4 39 9.75 8.25 ANOVA Source of Variation SS df MS F P-value F crit Rows 18.5 3 6.166667 0.668675 0.592253 3.862548 Columns 51.5 3 17.16667 1.861446 0.206506 3.862548 Error 83 9 9.222222 Total 153 15

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