13.7 Suppose a researcher comes to you to get some help on the analysis of the fol- lowing data set:

where each represents an observation. (i) What questions would you ask the investigator before you can analyze the data? (ii) Describe three scenarios (analogous to Study 2 in Section 2.6.2) which could have given rise to this data set. (iii) For each scenario write out an appropriate linear model and the correspond- ing ANOVA table. (iv) For each case explain how you would make statistical inferences about the main effects A and B and the interaction A B.

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03 Factor B Factor A b b2 b3 b4 012 a1 88 88 88 88 x X I 29 8 I I 8 8 X 88 88