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Date:         Wed, 9 Jul 2008 19:59:24 -0400
Reply-To:     "Edgar F. Johns" <efj@discover-tech.net>
Sender:       "SPSSX(r) Discussion" <SPSSX-L@LISTSERV.UGA.EDU>
From:         "Edgar F. Johns" <efj@discover-tech.net>
Subject:      Re: insufficient N for factor analysis
In-Reply-To:  <58769.20612.qm@web50902.mail.re2.yahoo.com>
Content-Type: text/plain; charset="us-ascii"

I'm not sure the effort is worth it, but....

You can try to use Dwyer's extension analysis. You start by creating a set of homogenous item packages or parcels - combine sets of 2-4 items into new scales by reviewing the item correlations (combine those items with the highest inter-item correlations). Then, factor analyze the item parcels (you will have reduced the number of variables in the factor analysis to about 10-15 (instead of 40). Convergence and iterations should behave better. Rotate and then use the Dwyer extension procedure described in Gorsuch (1983) Factor Analysis (2nd Ed.) on pages 236-238. Essentially, the factor solution of the parcels is projected onto the original set of items. You'll get your factor structure and pattern matrix (if you rotate obliquely) of the 40 items.

If you need some background on item parceling, you can find out more about it by searching "item parcels." I know their use is controversial. You can also check up on Andrew Comrey's work in developing his personality inventory and Ray Cattell's work.

Edgar --- Discover Technologies 2906 River Meadow Circle. Canton, MI 48188 (734) 564-4964 (734) 468-0800 fax

-----Original Message----- From: SPSSX(r) Discussion [mailto:SPSSX-L@LISTSERV.UGA.EDU] On Behalf Of SR Millis Sent: Wednesday, July 09, 2008 12:23 PM To: SPSSX-L@LISTSERV.UGA.EDU Subject: Re: insufficient N for factor analysis

Comrey & Lee (1992, A first course in factor analysis) give as a guide sample sizes of:

50 as very poor 100 as poor 200 as fair 300 as good 500 as very good 1000 as excellent for factor analysis.

Tabachnick & Fidell (Using multivariate statistics, 4th ed) recommend at least 300 cases.

Scott R Millis, PhD, MEd, ABPP (CN,CL,RP), CStat Professor & Director of Research Dept of Physical Medicine & Rehabilitation Wayne State University School of Medicine 261 Mack Blvd Detroit, MI 48201 Email: smillis@med.wayne.edu Tel: 313-993-8085 Fax: 313-966-7682

--- On Wed, 7/9/08, Zdaniuk, Bozena <bozena@pitt.edu> wrote:

> From: Zdaniuk, Bozena <bozena@pitt.edu> > Subject: insufficient N for factor analysis > To: SPSSX-L@LISTSERV.UGA.EDU > Date: Wednesday, July 9, 2008, 12:03 PM > Hello, I was asked to do a factor analysis of 40 variables > but I only have 70 cases. Needless to say, I had to > increase iterations to 100 to get the program to converge > and I still believe that it makes no sense to do a factor > analysis with less than 2 cases per variable. I was then > asked to provide a citation for that. Could someone point > me to a source discussing the minimum case per variable > requirement for factor analysis that I can cite? Thanks a > lot. > Bozena > > Bozena Zdaniuk, Ph.D. > University of Pittsburgh > UCSUR, 6th Fl. > 121 University Place > Pittsburgh, PA 15260 > Ph.: 412-624-5736 > Fax: 412-624-4810 > Email: bozena@pitt.edu > > ===================== > To manage your subscription to SPSSX-L, send a message to > LISTSERV@LISTSERV.UGA.EDU (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

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