```Date: Sat, 5 Mar 2011 22:51:27 -0600 Reply-To: "Swank, Paul R" Sender: "SPSSX(r) Discussion" From: "Swank, Paul R" Subject: Re: Question about calculation of % change Comments: To: Max Freund In-Reply-To: Content-Type: multipart/alternative; The range on a 1 - 4 scale is 3 not 2.5 and the range on a 0 - 3 scale is also 3, so a 1 unit change is 33% either way. Dr. Paul R. Swank, Professor and Director of Research Children's Learning Institute University of Texas Health Science Center-Houston From: SPSSX(r) Discussion [mailto:SPSSX-L@LISTSERV.UGA.EDU] On Behalf Of Max Freund Sent: Saturday, March 05, 2011 7:58 PM To: SPSSX-L@LISTSERV.UGA.EDU Subject: Question about calculation of % change Hello all, This is an embarrassingly basic question and not really SPSS-related, but I've got myself confused about it so I'm hoping this brain trust can help straighten me out. I have a variable measured on a 1-4 Likert scale at Time 1 and Time 2. I want to compute the percent change from T1 to T2. Would it be more accurate to transpose the scores to a 0-3 scale before calculating the % change? For example, a change from T1=2.5 to T2=3.5 measured on a 1-4 scale would result in a 40% increase (1/2.5=.4). When transposed to a 1-3 scale, however, it results in a 67% increase (1/1.5=.67). So basically, I'm wondering if starting the scale at 1 is a false minimum. The variable in question is an average of several items rating different aspects of organizational capacity and management practice, with 1 being little to no capacity in that area and 4 indicating robust capacity. Strictly speaking I know it may not be conceptually meaningful to compute percent changes in Likert items anyway (this one is actually an aggregate of several items). However, this is for an evaluation of a project that had as one of its objectives an X% increase in participants' capacity scores. Any thoughts? Thanks, Max -- Max Freund, M.I.I.M. * max@lunafreund.com * (909) 632-1624 Partner, LF Leadership (www.lfleadership.com) Doctoral Student in Organizational Behavior, Claremont Graduate University (www.cgu.edu/sbos) Want to book a meeting with me? Check my availability at http://tungle.me/maxfreund [text/html] ```

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