A PhD student has conducted the following experiments which

A PhD student has conducted the following experiments, which complete a full factorioal 2^2 experimental design, in order to determine the effects of nitrogen gas flow rate and applied power on the amount of incorporated nitrogen in plasma prepared thin film. Please help him organize his data set and determine the effe3ct of each parameterU as well as potential Interaction effect. Determine if the effects and the interactions are statistically signficant.Use your results to propose a simple empirical model for the data.

Solution

The result of the factorial design is given below

In the above table N = Nitrogen flow rate

P = plasma power

C= Nitrogen content

From the above table it is clear that p value of F statistic corresponding to Nitrogen flow rate (N) and plasma power (P) is less than 0.05, thus we can say that both factors N and P darw significant impact on the amount of nirogen in plasma preopared thin flim.

Also, p value of F statistic corrosponding to interaction of P and N is not less that 0.05, thus at 5% level odf significance it can be said that interaction factor does not draw significant impact on the amount of nitrogenn plasma preopared thin flim.

Tests of Between-Subjects Effects
Dependent Variable: C
Source	Type III Sum of Squares	df	Mean Square	F	Sig.
Corrected Model	1678.592a	3	559.531	260.167	.000
Intercept	4836.871	1	4836.871	2249.019	.000
N	1275.966	1	1275.966	593.291	.000
P	396.520	1	396.520	184.371	.000
N * P	6.106	1	6.106	2.839	.130
Error	17.205	8	2.151
Total	6532.668	12