[R] between-within anova: aov and lme

From: William Simpson <wsimpson_at_utsc.utoronto.ca>
Date: Thu 03 Aug 2006 - 22:01:18 EST

I have 2 questions on ANOVA with 1 between subjects factor and 2 within factors.

  1. I am confused on how to do the analysis with aov because I have seen two examples on the web with different solutions.
    1. Jon Baron (http://www.psych.upenn.edu/~baron/rpsych/rpsych.html) does 6.8.5 Example 5: Stevens pp. 468 - 474 (one between, two within)

between: gp
within: drug, dose
aov(effect ~ gp * drug * dose + Error(subj/(dose*drug)), data=Ela.uni)

b) Bill Venables answered a question on R help as follows.

aov(response ~ A*B*C + Error(subject), Kirk) "An alternative formula would be response ~ A/(B*C) + Error(subject), which would only change things by grouping together some of the sums of squares."

SO: which should I do????
aov(response ~ A*B*C + Error(subject), Kirk)
aov(response ~ A/(B*C) + Error(subject), Kirk)
aov(response ~ A*B*C + Error(subject/(B*C)), Kirk)

2. How would I do the analysis in lme()? Something like

Thanks very much for any help!
Bill Simpson

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