Posted by
Evan Harrington, Ph.D. on
Apr 12, 2011; 9:21pm
URL: http://spssx-discussion.165.s1.nabble.com/Factorial-ANOVA-with-Ranked-Data-tp4299119p4299177.html
There is a 2x2 factorial between subjects design, resulting in 4 cells with random assignment. Each subject is asked to make the rankings on each of 8 response options (which essentially ruins the ANOVA design).
I'm sort of intrigued by the problem of trying to force a parametric approach on nonparametric data, and whether it can be done.
Evan Harrington, Ph.D.
Department of Forensic Psychology
The Chicago School of Professional Psychology
325 N. Wells Street
Chicago, IL 60654
________________________________________
From: SPSSX(r) Discussion [
[hidden email]] On Behalf Of Bruce Weaver [
[hidden email]]
Sent: Tuesday, April 12, 2011 4:09 PM
To:
[hidden email]
Subject: Re: Factorial ANOVA with Ranked Data
Hi Evan. Do you have repeated measures on both factors, or is it a
between-within design? Thanks for clarifying.
Bruce
Evan Harrington, Ph.D. wrote:
>
> I'd like to solicit advice on conducting a factorial ANOVA (between
> subjects) using ranked data.
>
> A student devised the design and I'm looking for advice to give her on how
> to appropriately analyze the data. Instead of using interval scales she
> used a ranking system where each subject had to choose from 8 options, and
> each option had to be ranked relative to each other, resulting in a set of
> ranks that are yoked (to some extent; some options are forced toward the
> end of the spectrum of ranks).
>
> The ranking system lends itself well to the Friedman test (provided you
> ignore the independent variables and analyze the data as a whole). I
> assume the student had the Friedman test in mind when creating the scoring
> system. However, I am looking for a way to capitalize on the 2x2 factorial
> design. I've done a fair amount of digging and I've come up with some
> interesting work by Conover & Iman (1981), Larry Toothaker, and by Puri &
> Sen (1985) -- the consensus seems to be that you can analyze ranked data
> (if the ranking is done as you would for the Kruskal-Wallis, for instance)
> provided that you analyze the ANOVA main effects without interaction (or
> vice versa) but if you attempt to analyze the whole model there is a
> strong chance of anomalous results.
>
> I have some ideas about testing contrasts on the data, or keeping it based
> on Kruskal-Wallis, but I wanted to check and see if anyone had thoughts on
> how to adjust the ANOVA to deal with ranked data of this type.
>
> Thanks
>
>
> Evan Harrington, Ph.D.
> Department of Forensic Psychology
> The Chicago School of Professional Psychology
> 325 N. Wells Street
> Chicago, IL 60654
>
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