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From |
Cameron McIntosh <cnm100@hotmail.com> |

To |
STATA LIST <statalist@hsphsun2.harvard.edu> |

Subject |
RE: st: RE: Mean test in a Likert Scale |

Date |
Mon, 3 Sep 2012 16:21:52 -0400 |

This paper might also be of interest: Wu, C.-H. (2007). An empirical study on the transformation of likert-scale data to numerical scores. Applied Mathematical Sciences, 1(58), 2851-2862. http://www.m-hikari.com/ams/ams-password-2007/ams-password57-60-2007/wuchienhoAMS57-60-2007.pdf Cam > Date: Mon, 3 Sep 2012 15:44:30 -0500 > To: statalist@hsphsun2.harvard.edu; statalist@hsphsun2.harvard.edu > From: richardwilliams.ndu@gmail.com > Subject: Re: st: RE: Mean test in a Likert Scale > > At 11:00 AM 9/3/2012, Maarten Buis wrote: > >On Mon, Sep 3, 2012 at 4:54 PM, Yuval Arbel wrote: > > > Nick and Maarten, Note, that Kmenta's message is to prefer models with > > > less restrictions. > > > >As always, there is no such thing as a free lunch. Less restrictions > >typically cost statistical power, and if the restriction works well > >for a particular applications, not using it will be a waste. Moreover, > >such statements are in practice used to prefer models with less known > >restrictions over models with well known restrictions. For example, I > >have seen it used to prefer an -oprobit- over an -ologit- because > >-ologit- implies the proportional odds assumption and -oprobit- > >implies an equivalent assumption with a less memorable name. > > I had a fairly prominent econometrician make that argument to me > once. My response was that both ologit and oprobit require what has > been called the parallel lines or parallel regressions assumption to > be met. It just so happens that, with ologit, if parallel lines holds > then proportional odds will hold too. But it isn't like ologit has an > additional hurdle to clear; it is just that if it clears the parallel > lines hurdle, it simultaneously clears the proportional odds hurdle too. > > > > > Moreover, are you suggesting we can deal in the same manner with > > > quantitative values and ordinal variables? if our independent > > > variables are what subjects marked on a questionnaire on a scale > > > between 1 to 5 is the statistical treatment within a regression > > > analysis framework should be identical to an independent variable > > > measured in US dollars? > > > >No, all I am saying is that I do not rule out that there exists an > >application where treating a ordinal variable as having a linear > >effect works well enough and that it is worth checking whether that is > >the case, as you can safe a lot of power that way. Moreover, an amount > >in dollars may not be as cardinal as one might hope; often respondents > >round their answers considerably even if asked to provide exact > >answers. > > Maybe this has already been mentioned, but pages 421-422 of Long & > Freese (2006) show how to test whether an ordinal independent > variable can be treated as though it were interval. See > > http://www.stata.com/bookstore/regression-models-categorical-dependent-variables/index.html > > ------------------------------------------- > Richard Williams, Notre Dame Dept of Sociology > OFFICE: (574)631-6668, (574)631-6463 > HOME: (574)289-5227 > EMAIL: Richard.A.Williams.5@ND.Edu > WWW: http://www.nd.edu/~rwilliam > > * > * For searches and help try: > * http://www.stata.com/help.cgi?search > * http://www.stata.com/support/statalist/faq > * http://www.ats.ucla.edu/stat/stata/ * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**Follow-Ups**:**Re: st: RE: Mean test in a Likert Scale***From:*Yuval Arbel <yuval.arbel@gmail.com>

**References**:**Re: st: RE: Mean test in a Likert Scale***From:*Ulrich Kohler <kohler@wzb.eu>

**Re: st: RE: Mean test in a Likert Scale***From:*Nick Cox <njcoxstata@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Ulrich Kohler <kohler@wzb.eu>

**Re: st: RE: Mean test in a Likert Scale***From:*Nick Cox <njcoxstata@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Yuval Arbel <yuval.arbel@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Nick Cox <njcoxstata@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Maarten Buis <maartenlbuis@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Yuval Arbel <yuval.arbel@gmail.com>

**Re: st: RE: Mean test in a Likert Scale***From:*Richard Williams <richardwilliams.ndu@gmail.com>

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