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The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment

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The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment.

Source	DF	SS	MS	F	P
A	1	0.322	-	-	-
B	-	80.554	40.2771	4.59	-
Interaction	-	-	-	-	-
Error	12	105.327	8.7773	-	-
Total	17	231.551

 

(a) Fill in the blanks in the ANOVA table. You can use bounds on the P-values.

(b) How many levels were used for factor B?

(c) How many replicates of the experiment were per-formed?

(d) What conclusions would you draw about this experiment?

 

5.6. An article in Industrial Quality Canby! (1956, pp. 5-8) describes an experiment to investigate the effect of the type of glass and the type of phosphor on the brightness of a television tube. The response variable is the current necessary (in microamps) to obtain a specified brightness level. The data are as follows:

Glass Type	Phosphor Type
	1	2	3
1	280	300	290
	290	310	285
	285	295	290
2	230	260	220
	235	240	225
	240	235	230

 

 (a) Is there any indication that either factor influences brightness? Use a = 0.05.

 (b) Do the two factors interact? Use a = 0.05.

 (c) Analyze the residuals from this experiment.

 

5.8. The factors that influence the breaking strength of a synthetic fiber are being studied. Four production machines and three operators are chosen and a factorial experiment is run using fiber from the same production batch. The results are as follows:

Operator	Machine
	1	2	3	4
1	109	110	108	110
	110	115	109	108
	110	110	111	114
2	112	111	109	112
	116	112	114	120
	114	115	119	117

 

 

(a) Analyze the data and draw conclusions. Use a = 0.05.

(b) Prepare appropriate residual plots and comment on the model's adequacy.

 

5.23 Consider the data in problem 5.8 Analyze the data. Assuming that replicates are blocks.