An engineer is investigating the thickness of epitaxial laye

An engineer is investigating the thickness of epitaxial layer which will be subject to two variations in A, deposition time (+ for short lime, and - for long time) and two levels of B, arsenic flow rate (- for 55% and + for 59%). The engineer conduct 22 factorial design with n = 4 replicates. The data are as follow:

Solution

Answer of part (a)

Answer of Part(b)

using the yates algorithem for 2k factorial the effect of different main and interraction in col II

Answer of part (b)

the null hypothesis is there is no effect of factor A and Factor B

part(c) will be answered afterwards due to lack of time for calculation

A	B	n	Res
A-	B-	R1	14.037
A-	B-	R1	14.165
A-	B-	R1	13.972
A-	B-	R1	13.907
A-	B+	R2	13.88
A-	B+	R2	13.86
A-	B+	R2	14.032
A-	B+	R2	13.914
A+	B-	R3	14.821
A+	B-	R3	14.757
A+	B-	R3	14.843
A+	B-	R3	14.878
A+	B+	R4	14.888
A+	B+	R4	14.921
A+	B+	R4	14.415
A+	B+	R4	14.932