An experimenter wished to compare the potencies of three different drug products. To do this, 12 test tubes were inoculated with a culture of the virus under study and incubated for 2 days at 35°C. Four dosage levels (.2, .4, .8, and 1.6 μg per tube) were to be used from each of the three drug products, with only one dose-drug product combination for each of the 12 test-tube cultures. One means of comparing the drug products is to examine their slopes (with respect to dose).
a. Write a general linear model relating the response y to the independent variables dose and drug product. Make the expected response a linear function of log dose (x1). Identify the parameters in the model.
b. Change the model in part (a) to reflect that the three drug products have the same slope.
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