02 May In the table below, we have the results (after normalization and coding) for the effect of
(a) In the table below, we have the results (after normalization and coding) for the effect of
dose level of a new drug applied at three different levels at random to each of three patients
selected at random from each of five hospitals. (The larger the measurement, the more effective
the drug dose is deemed to be.)
(i) Propose an appropriate linear model for the analysis of these data, giving the ANOVA
table for the adopted model.
(ii) Test whether there is a dose effect for the drug.
(iii) Give an interaction plot for dose response versus hospital.
(iv) Test whether there is an effect due to hospitals.
(v) Proceeding according to the outcome of the test in (iv), use Tukey’s range test to provide
simultaneous 95% confidence intervals for the differences between the dose means of the
drug.
(vi) On the basis of (v), find which pairs of dose levels (if any) differ with an overall significance
level of 0.05
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