Question

Reserve Problems Chapter 13 Section 2 Problem 3 Consider the following computer output for an experiment. Source DF SS MS F P-value Factor 5 ? ? ? ? Error 27.68 ? ? 29 66.04 Total (a) How many replicates did the experimenter use? (b) Fill in the missing information in the ANOVA table. Round your answers to three decimal places (e.g. 98.765), except P-value. DF(Error) SS(Factor) = MS(Error) = MS(Factor) = F= Round your answer to five decimal places (e.g. 98.76543). P-value = (c) Compute an estimate for 2. Round your answer to three decimal places (e.g. 98.765)

Answer 1

Solution Given that IP-value Source I DF SS MS ? 9 9 Factor 5 Erra 9 27.68 Total 29 66.04 (a) since the degrees of freedom carresponding to Factors are 5 which means there are 6-factor levels and also the total units are o Therefore, the number of replications is [5] (6) To find the DF (Erra): DE Total 29 DF 5 factor DF - DF - DF Eงตอน Total Factor 29 - 5 = 24 DFE 9100) = 24

- SS Totalss 38.360 *Now to find Ms (factor) * Now to find SS (Factor) Here SS. = 66.04 Total SS End = 27.68 Now Ss Factor Error 66.04 - 27.68 SS (Factor) = 38.360 * Now to find MS (Error) SS (Error) MS (Error) 27.68 24 = 1.153 Ms/Erron) DF (Erron) = f. 153 SS (Factor MS (Factor) DF (factor)

38.360 3 MS (factar) 5 7.672 Ms (factor) 7.672 * Now to find the F-statistic: We know that The famula of F-statistic is given by MS (factor) Ms (Error) 7.672 1.153 6.654 * Now to find the Rvalue: P-value = 0.000 51 .. | P-value = 0.00051

ANOVA table 4 Source DF Ss MS P-value 5 38.360 Factor 7.672 6.654 0.00051 24 27.68 • Error 1.153 Total 29 66.04

2 an .. (c) Now to compute The estimate of estimate for E is M5(Erion) DF (230) 12 1.153 24 0.048 A 0.048