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  TESTFACT: Adaptive item factor analysis and factor score (MAP) estimation

This example analyzes 32 items selected from the 48-item version of the Jenkins Activity Survey for Health Prediction, Form B (Jenkins, Rosenman, and Zyzanski, 1972). The data are responses of 598 men from central Finland drawn from a larger survey sample. Most of the items are rated on three-point scales representing little or no, occasional, or frequent occurrence of the activity or behavior in question. For purposes of the present analysis, the scales have been dichotomized near the median. Wording in the positive or negative direction varies from item to item as follows (item numbers are those of the original pool of items from which those of the present form was selected):

-Q156,-Q157,+Q158,-Q165,-Q166,-Q167,+Q247,+Q248,-Q249,-Q250,+Q251,+Q252,    +Q253,+Q254,+Q255,+Q256,+Q257,-Q258,-Q259,+Q260,+Q261,+Q262,+Q263,+Q264,
+Q265,-Q266,+Q267,+Q268,+Q269,+Q270,+Q271,+Q272,-Q273,-Q274,-Q275,+Q276,   
+Q277,+Q278,-Q279,-Q280,+Q307,+Q308,+Q309,+Q310,+Q311,-Q312,-Q313,-Q314.

For a complete discussion of the contents of the data file and variable format statement used to read these data, see here.

In a previous example, EAP factor score estimation was performed. This example, illustrating MAP factor score estimation, imports the exampl03.par file from the previous example (FILE keyword on the SCORE command) to score the respondents to the survey using the VARIMAX rotated factor pattern (see Example 3).

The PROBLEM, RESPONSE, KEY, SELECT and INPUT statements are the same as used in Example 3, with the exception of the addition of the SKIP keyword on the PROBLEM command. Classical item analysis is skipped, and the removal of the TETRACHORIC, FACTOR and FULL commands confirms that item factor analysis is also skipped, as indicated by SKIP =2. The SAVE command is still present, but only used to save factor scores here.

The SCORE command now indicates the use of MAP estimation (METHOD = 3). The FILE keyword indicates the parameter file to be used while the NFAC keyword indicates the number of factors used when estimating the factor scores (recall that in the previous example 3 factors were extracted). Factor scores for the first 20 cases are to be written to the output file (LIST = 20) and the convergence for the MAP iterations is set by the SPRECISION keyword.

Cases will be scored by the MAP (Maximum A Posteriori, or Bayes Modal) method. Standard error estimates will be computed from the posterior information at the estimated values. The estimated factor scores are saved to the file exampl03.fsc (FSCORES keyword on the SAVE command).

>TITLE
   ITEMS FROM THE JENKINS ACTIVITY SURVEY
   SCORING THE RESPONDENTS (MAP METHOD)
>PROBLEM NITEM=48,SELECT=32,RESPONSES=5,NOTPRESENTED,SKIP=2;
>NAMES Q156,Q157,Q158,Q165,Q166,Q167,Q247,Q248,Q249,Q250,Q251,Q252,
       Q253,Q254,Q255,Q256,Q257,Q258,Q259,Q260,Q261,Q262,Q263,Q264,
       Q265,Q266,Q267,Q268,Q269,Q270,Q271,Q272,Q273,Q274,Q275,Q276,
       Q277,Q278,Q279,Q280,Q307,Q308,Q309,Q310,Q311,Q312,Q313,Q314;
>RESPONSE  '8','0','1','2','.';
>KEY 002000220022222220022222202222220002220022222000;
>SELECT  3,5,6,7,9,11(1)14,17(1)23,25(1)30,32,33,35,36,39(1)42,47,48;
>SAVE FSCORES;
>SCORE METHOD=3,LIST=20,NFAC=3,SPRECISION=0.0001,FILE='EXAMPL03.PAR';
>INPUT NIDW=10,SCORES,FILE='EXAMPL03.DAT';
(10A1,T1,48A1)
>STOP

 

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