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Re: Discriminant function analysis

Posted by Swank, Paul R on Apr 20, 2011; 6:48pm
URL: http://spssx-discussion.165.s1.nabble.com/Discriminant-function-analysis-tp4315226p4328937.html

I hope you have a large sample because discriminant function analysis requires 20-30 subjects per variable per group to adequately estimate the parameters of the model. If you have a smaller sample size, multinomial logistic regression might be a better option.

Dr. Paul R. Swank,
Professor and Director of Research
Children's Learning Institute
University of Texas Health Science Center-Houston


-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Pete
Sent: Wednesday, April 20, 2011 3:33 AM
To: [hidden email]
Subject: Discriminant function analysis

I've done a discriminant function analysis in SPSS intended to classify 3
types of case using 30 variables. The discriminant function coefficients and
structure matrix are below. It is clear that the two functions do different
things with these data. I have the following questions:
1. How do I identify what each function is doing when cases are classified?
2. I want to calculate on a case by case basis the scores for truncated
forms of each discriminant function (f1 S1DUR - S3PIRANG and f2 S3INRANG
-RPVIS1). I assume I generate a linear equation using these coefficients to
weight each variable. Is that right?
3. Alternatively, is there a simple way of obtaining the scores from each
case for each discriminant function by procedures in SPSS? On reflection,
this might be the preferred option, but I will stand to be advised.

any other advice, observations would be gratefully received.
Many thanks
PH


Standardized Canonical Discriminant Function Coefficients
        Function
        1       2
S1DUR   .106    -.090
S1PIRANG        -.041   .074
S1INRENG        .087    .009
S2DUR   -.048   -.276
S2PIRANG        .198    -.284
S2INRANG        .211    -.113
S3DUR   -1.906  .829
S3PIRANG        .034    .016
S3INRANG        .273    .437
S4DUR   1.546   -.843
S4PIRANG        .123    .118
S4INRANG        -.326   -.145
NPVIS1  -.246   -.002
NPVIS2  -.165   .343
NPVIS3  .096    -.201
RPVIS4  .253    .362
NPVIS4  .373    -.099
RPVIS1PI        -.250   .234
RPVIS2PI        .256    .345
RPVIS3PI        .067    .107
RPVIS4PI        .081    -.113
RPVIS1IN        .061    .316
RPVIS2IN        -.689   -.097
RPVIS3IN        .640    -.269
RPVIS4IN        .229    .239
RPVI1TO4        -.200   1.226
NPVI1TO4        .082    -1.588


Structure Matrix
        Function
        1       2
NPVIS4  .324    -.053
S4INRANG        -.255   -.014
S2INRANG        .245    .076
RPVIS3IN        .230    -.029
S3DUR   -.227   -.065
RPVIS3  -.227   -.065
NPVIS1  -.222   .047
S4DUR   -.155   -.079
RPVIS2IN        -.119   .068
S2DUR   -.117   .012
RPVIS2  -.117   .012
RPVIS4PI        .106    .053
RPVIS4  .103    .047
S1INRENG        -.100   -.034
S3PIRANG        .088    -.038
RPVI1TO4        -.077   .057
S4PIRANG        .072    .049
S3INRANG        .141    .354
RPVIS3PI        .040    .318
RPVIS2PI        .175    .313
NPVIS2  -.210   .306
RPVIS1PI        -.124   .225
S2PIRANG        .078    -.207
RPVIS4IN        .119    .181
NPVI1TO4        -.064   -.168
NPVIS3  .111    -.167
RPVIS1IN        .144    .158
S1PIRANG        .069    -.082
S1DUR   .033    -.062
RPVIS1  .033    -.062
Pooled within-groups correlations between discriminating variables and
standardized canonical discriminant functions
 Variables ordered by absolute size of correlation within function.
*       Largest absolute correlation between each variable and any discriminant
function
a       This variable not used in the analysis.



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