A PhD student has conducted the following experiments, which complete a full fac

Question

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.

Explanation / Answer

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

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