http://spssx-discussion.165.s1.nabble.com/Factorial-ANOVA-with-Ranked-Data-tp4299119p4299223.html
Take a look at this article by Mewhort et al. Not exactly what you
> 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
>>
>> =====================
>> To manage your subscription to SPSSX-L, send a message to
>>
[hidden email] (not to SPSSX-L), with no body text except the
>> command. To leave the list, send the command
>> SIGNOFF SPSSX-L
>> For a list of commands to manage subscriptions, send the command
>> INFO REFCARD
>>
>
>
> -----
> --
> Bruce Weaver
>
[hidden email]
>
http://sites.google.com/a/lakeheadu.ca/bweaver/>
> "When all else fails, RTFM."
>
> NOTE: My Hotmail account is not monitored regularly.
> To send me an e-mail, please use the address shown above.
>
> --
> View this message in context:
http://spssx-discussion.1045642.n5.nabble.com/Factorial-ANOVA-with-Ranked-Data-tp4299119p4299141.html> Sent from the SPSSX Discussion mailing list archive at Nabble.com.
>
> =====================
> To manage your subscription to SPSSX-L, send a message to
>
[hidden email] (not to SPSSX-L), with no body text except the
> command. To leave the list, send the command
> SIGNOFF SPSSX-L
> For a list of commands to manage subscriptions, send the command
> INFO REFCARD
>
> =====================
> To manage your subscription to SPSSX-L, send a message to
>
[hidden email] (not to SPSSX-L), with no body text except the
> command. To leave the list, send the command
> SIGNOFF SPSSX-L
> For a list of commands to manage subscriptions, send the command
> INFO REFCARD
command. To leave the list, send the command