Question

Using Minitab,

6.17. An experimenter has run a single replicate of a 2 design. The following effect estimates have been calculated: 76.95 AB = -51.32 ABC = -2.82 -67.52 AC = 11.69 ABD = -6.50 C = -7.84 AD = 9.78 ACD = 10.20 D = 18.73 BC = 20.78 BCD= -7.98 BD = 14.74 ABCD = -6.25 B = CD (a) Construct a normal probability plot of these effects. (b) Identify a tentative model, based on the plot of the effects in part (a).

Answer 1

ANSWER

GIVEN THAT

An experimenter has run a single replicate of a $2^4$ design.

Given estimated calculation values are,

A=76.95 AB=-51.32 ABC=-2.82

B=-67.52 AC=11.69 ABD=-6.50

C=-7.84 AD=9.78 ACD=10.20

D=-18.73 BC=20.78 BCD=-7.98

BD=14.74 ABCD=-6.25

CD=1.27

(a)

poema) probability plot ha372909 od LAD

Average: 157 A.squared=0.781

Standard deviation : 32.3257 P.value:0.033

N=15

(b) $\hat{y}$ =Intred$+38.475x_A-33.76x_B-25.66x_Ax_B$