Steve wrote:

When I initially skimmed your Q. I thought you were referring to a
common situation in repeated measures ANOVA where factors are
non-orthogonal which means that standard packages won't run the SPSS model.

e.g., participants read several texts and you try to predict reading
times based on participant or text characteristics (e.g., number of
words, type of words and so forth).

Lorch and Myers describe how to derive the correct error term for this
kind of analysis (ISTR it involves running separate analyses by subject
in packages such as SPSS) and computing the correct tests from these.

A separate issue that you touched upon is categorizing a continuous
variable for use in ANOVA - you correctly surmise that this is not a
good thing to do (you can search the newsgroup for an animated discussion).

e.g., or see

MacCallum, R. C., Zhang, S., Preacher, K. J., & Rucker, D. D. (2002). On
the practice of dichotomization of quantitative variables. Psychological
Methods, 7, 19-40.

A final point (error in the measurement of the predictor) is addressed
by another poster. This strikes me as a _much_ broader issue (not
confined to ANOVA).

Thom
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