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I am looking at two-factor factorial data where the response variable is number of cancer cells after an experiment is performed.

The two-factors are:

Factor A, which has a = 2 levels: "Conventional" (which is basically a control) and Dye Added

and

Factor B, which is the concentration of a drug Cisplatin, which has b = 6 levels: 0, 0.15, 1.5, 15, 150 and 1500 (ng/ml)

Data is given below, but it is unclear to me whether it is referring to treatment means for each factor-treatment combination or if each treatment only has one replicate: Two-Factorial Data given

I am asked to analyze the data above for the effects of concentration and dye.

My initial idea was to use three contrasts and test for significance:

  1. Main Effect Contrast of Factor A

  2. Main Effect Contrast of Factor B (using linearity in dose)

  3. Interaction Effect between Factors A and B

However, since no sample size is given, I'm not sure how to test for significance since I have no way of computing the MSE. Are there any other ways I can test for significance of the contrasts or test for the interaction?

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