hw9.ass - Page 1 of 4 Stat209/Ed260 3/9/09 Week 9...

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Stat209/Ed260 3/9/09 Week 9 Exercises: Lord's Paradox, Repeated measures anova, Growth Curves 1. Lord's paradox example a. construct a two-group pre-post example with 20 observations in each group that mimics the description in Lord (1967): statistician 1 (difference scores) obtains 0 group effect statistician 2 (analysis of covariance) obtains large group effect for the group higher on the pre-existing differences in pretest b. construct second example for which statistician 1 (difference scores) obtains large group effect statistician 2 (analysis of covariance) obtains 0 group effect c. construct a third example (if possible) for which statistician 1 (difference scores) obtains large postive group effect statistician 2 (analysis of covariance) obtains large negative group effect --------------------------------------------------------- 2. Repeated measures analysis of variance for the examples in problem 1, part a and part c, analyze the artificial data using a repeated measures anova (one within, one between factor). Demonstrate the equivalence from Brogan-Kutner paper that testing the groupXtime interaction term is equivalent to a t-test between groups on individual improvement (i.e. a statistician 1 analysis). --------------------------------------------------------- 3. Consider this as a mini-Lab5 or Appendix to Lab 2 Growth curves random effects models via lme (or HLM)--Ramus data example Full analysis, discussed (briefly) in class 3/6 The Ramus data discussed in lecture 3/6 consist of 4 longitudinal observations on each of 20 cases. The measurement is the height of the mandibular ramus bone (in mm) for boys each measured at
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This note was uploaded on 08/20/2011 for the course STATS 209 taught by Professor Rogosa,d during the Winter '09 term at Stanford.

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hw9.ass - Page 1 of 4 Stat209/Ed260 3/9/09 Week 9...

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