Question

Q4d13D

After much effort, Angus has finally been able to work all the bugs out of his model and to successfully validate his results. Angus would now like to use his simulation to screen for factors. He has identified two factors of interest: transport type (+ is shipping, - is truck) and order lead time (+ is 2 months, - is one month). He sets up a full factorial design to screen these two factors and completes a total of five replications a piece. Angus design matrix is listed below:

Run	Line speed	Rework
1	-	-
2	+	-
3	-	+
4	+	+

The results from his simulation model are given below:

Run	Rep 1	Rep 2	Rep 3	Rep 4	Rep 5
1	86	93	86	84	94
2	141	156	143	141	149
3	140	142	133	127	129
4	154	170	162	161	163

Using an ANOVA approach and an alpha value of your choosing, determine if there are any main factor or interaction effects. To aid your calculations you may assume that the average response over all 20 runs is 132.7 and the variance is 814.12.

NOTE: This is Industrial Engineering statistics subject question pleae...

Answer 1

Analysis of Variance for Observations (coded units)

Source DF Seq SS Adj SS Adj MS F P
Main Effects 2 13817.0 13817.0 6908.50 198.81 0.000
A 1 9073.8 9073.8 9073.80 261.12 0.000
B 1 4743.2 4743.2 4743.20 136.49 0.000
2-Way Interactions 1 1095.2 1095.2 1095.20 31.52 0.000
A*B 1 1095.2 1095.2 1095.20 31.52 0.000
Residual Error 16 556.0 556.0 34.75
Pure Error 16 556.0 556.0 34.75
Total 19 15468.2

Since p-values corresponding to main effects and interaction effect <0.05 hence main effects and interaction effect are significantly present.