hwk5 - STAT 8630 Advanced Statistical Applications II...

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STAT 8630 — Advanced Statistical Applications II Homework 5 – Due Thursday, April 23 Homework Guidelines: Homework is due by 4:30 on the due date speciﬁed above. You may turn it in at the beginning of class or place it in my mailbox in the Statistics Building. No late homeworks will be accepted without permission granted prior to the due date. Use only standard (8 . 5 × 11 inch) paper and use only one side of each sheet. Homework should show enough detail so that the reader can clearly understand the procedures of the solutions. Problems should appear in the order that they were assigned. Assignment: Read chapters 12–13 from FLW (our text), ch.14 from Molenberghs and Verbeke’s book (handed out in class), and ch.14 from McCulloch et al.’s book (also handed out in class). Do exercise 12.2 (all parts) from FLW and exercises 14.3 and 14.12 from McCulloch et al. In addition, do the following problem: 4. Recall the hospital visit data from problem 9.12 in Davis’ book. We analyzed these data in problem 3 of homework 4. In that analysis, a four-way interaction between age, sex, maternal smoking status and quarter (the repeated measures factor) was found to be signiﬁcant using GEE methodology to ﬁt a marginal Poisson-like GLM. Here, we simplify the analysis somewhat by considering only the subjects from that dataset for which mother’s smoking status is “Yes”. Reﬁtting a marginal Poisson- like GLM to this subset of the data, it can be found that some interactions are no longer signiﬁcant and a parsimonious model that excludes all non-signiﬁcant interactions and main eﬀects (except those required by the principle of model hierarchy) is one that includes main eﬀects of quarter, sex and age (where age is treated as continuous), and which contains an age*sex interaction (that is where

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hwk5 - STAT 8630 Advanced Statistical Applications II...

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