Question

An article in the IEEE Transactions on Electron Devices described a study on the effects of two variables—polysilicon doping and anneal conditions (time and temperature)—on the base current of a bipolar transistor. The data from this experiment follow, using a two-way ANOVA experiment. Is there any evidence to support the claim that these variables interact with each other? Use ? = 0.10.

Analysis of Variance for Current:

Source DF SS MS F P

doping 1 1.442 1.442 25.23 0.000

anneal 4 124.238     31.059 543.52 0.000

doping*anneal 4 0.809 0.202 3.54 0.048

Error 10 0.571 0.057

Total 19 127.060

Inconclusive (you can't tell)

Yes, The interaction is significant at the 0.10 level of significance.

No, Yes, The interaction is NOT significant at the 0.10 level of significance.

Please answer with explanation and details.

Thank you.

Answer 1

H0 : There is no interaction between the two factors doping and anneal .

Ha : There is an interaction between the two factors doping and anneal .

Decision rule : If p value is less than then we reject the null hypothesis H0, otherwise do not reject H0.

We are given    =0.1 and p value for interaction between doping * anneal .is 0.048

As 0.048 is less than 0.1 , we do reject the null hypothesis H0 and supposed to accept alternative hypothesis Ha that there is an interaction between the two factors doping and anneal .

So answer is Yes, The interaction is significant at the 0.10 level of significance.