Factorial Experiment Statistics Given the following sums of

Factorial Experiment Statistics

Given the following sums of the measured data for a 2 replicate (n=2) 2^3 factorial experiment: a) Place the above data in their appropriate locations in a table b) Calculate the main and interaction effects. c) Calculate the confidence intervals for the main and interaction effects and determine which effects are significant. (alpha = 0.05) d) Write down the regression model for the above experiment. What is the value predicted by this model for S = 1800 rpm, F = 40 N and T = 100 degree C?

Solution

The mean row and the mean column gives the main effect. And the difference column gives the interaction effect.

If we plot the values of S=900rpm and S=1800rpm, the 2 lines are almost equidistant at each point, hence there is no interaction between 2.

The predicted value for S=1800rpm, F=40N and T=100 is 35.

		S=900rpm	S=1800rpmMean	Difference
T=30	F=40N	26	31	28.5	5
	F=70N	29	33	31	4
T=100	F=40N	29	35	32	6
	F=70N	32	41	36.5	9
	Mean	29	35