Running a Factor Analysis with only the correlation matrix

[klinas]

Hello, I was wondering if it is possible to run a factor analysis if you just have the correlation matrix and do not have access to the "raw" data.  Thank you in advance!!

[Edgar F. Johns]

"Hello, I was wondering if it is possible to run a factor analysis if you
just have the correlation matrix and do not have access to the "raw" data."


I did this a few weeks ago (with assistance from some list members). Below
is the syntax I used:

MATRIX DATA

VARIABLES=ROWTYPE_                      ECI1    ECI2    ECI3    ECI4    ECI5
ECI6    ECI7    ECI8    ECI9    ECI10   ECI11   ECI12   ECI13   ECI14
ECI15   ECI16   ECI17   ECI18   ECI19   ECI20   .
BEGIN DATA

MEAN    5.32    4.99    5.52    5.17    5.23    5.8     5.05    5.27    5.18
5.27    5.57    5.38    5.09    5.02    4.97    5.17    5.04    4.94    5.45
5.44
STDDEV  0.67    0.77    0.66    0.84    0.7     0.72    0.62    0.69    0.67
0.74    0.7     0.78    0.79    0.78    0.65    0.71    0.79    0.72    0.75
0.71
N       3391    3391    3391    3391    3391    3391    3391    3391    3391
3391    3391    3391    3391    3391    3391    3391    3391    3391    3391
3391
CORR    1

CORR    0.68    1

CORR    0.43    0.53    1

CORR    0.73    0.79    0.37    1

CORR    0.51    0.61    0.57    0.6     1

CORR    0.49    0.61    0.5     0.6     0.58    1

CORR    0.44    0.63    0.29    0.74    0.53    0.5     1

CORR    0.63    0.67    0.62    0.63    0.57    0.56    0.49    1

CORR    0.4     0.57    0.46    0.58    0.52    0.54    0.51    0.56    1

CORR    0.57    0.76    0.59    0.69    0.64    0.6     0.63    0.61    0.52
1

CORR    0.48    0.64    0.78    0.48    0.62    0.57    0.4     0.7     0.6
0.66    1

CORR    0.5     0.67    0.79    0.49    0.6     0.6     0.37    0.64    0.5
0.74    0.81    1

CORR    0.65    0.73    0.58    0.74    0.64    0.64    0.57    0.7     0.57
0.67    0.7     0.65    1

CORR    0.51    0.66    0.74    0.57    0.65    0.61    0.48    0.66    0.56
0.67    0.77    0.75    0.78    1

CORR    0.56    0.65    0.68    0.57    0.7     0.64    0.45    0.64    0.44
0.69    0.74    0.76    0.7     0.77    1

CORR    0.64    0.73    0.62    0.74    0.65    0.67    0.58    0.64    0.5
0.73    0.64    0.68    0.74    0.73    0.75    1

CORR    0.51    0.62    0.73    0.51    0.61    0.54    0.41    0.7     0.45
0.65    0.79    0.77    0.72    0.81    0.77    0.67    1

CORR    0.64    0.69    0.54    0.73    0.63    0.6     0.63    0.72    0.5
0.7     0.64    0.61    0.75    0.7     0.72    0.71    0.7     1

CORR    0.62    0.75    0.57    0.69    0.63    0.61    0.51    0.55    0.46
0.67    0.56    0.67    0.66    0.68    0.68    0.71    0.6     0.62    1

CORR    0.64    0.81    0.51    0.83    0.67    0.67    0.68    0.67    0.66
0.72    0.6     0.63    0.77    0.75    0.68    0.77    0.66    0.74    0.79
1
END DATA.



FACTOR
/MATRIX IN(COR=*)
/ANALYSIS  ECI1 ECI2    ECI3    ECI4    ECI5    ECI6    ECI7    ECI8    ECI9
ECI10   ECI11   ECI12   ECI13   ECI14   ECI15   ECI16   ECI17   ECI18
ECI19   ECI20
 /PRINT ROTATION
 / FORMAT SORT
/PLOT EIGEN ROTATION
  /CRITERIA FACTORS(2) ITERATE(25)
  /EXTRACTION paf
  /CRITERIA ITERATE(25)
 / ROTATION PROMAX(4)
 / METHOD=CORRELATION .


In doing so, I created the Correlation dataset according to the SPSS
instructions in the reference guide.

Hope this helps.
Edgar
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-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
klinas
Sent: Sunday, July 29, 2007 6:23 PM
To: [hidden email]
Subject: Running a Factor Analysis with only the correlation matrix

you in advance!!
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