# st: one or two factors?

 From "Yaojun Li" To Subject st: one or two factors? Date Mon, 14 Feb 2005 16:49:37 -0000

```Dear all,

I am using a survey in which respondents were asked whether they did
formal volunteering in the last 12 months. For those who said yes, they
were asked ten specific activities of formal volunteering (e1-e10) and
the frequency of such volunteering (ef). For those who said no, they
were asked questions on 10 activities of former (ie, more than 12 months
ago) volunteering.

My question is: should e* and f* conceptually and computationally
produce one or two factors? Stata (8.2) returns two factors whilst
Mplus(3.11) produces one factor, with formal volunteering showing
positive and former volunteering showing negative signs along the same
factor continuum.

I am a bit confused and hope that the experts can enlighten me.

Many thanks and best wishes
Yaojun

The outputs are listed below.

Stata output:

(varimax rotation)
Variable |      1          2          3          4          5
Uniqueness
-------------+----------------------------------------------------------
-------
a1 |   0.04391    0.01993    0.63269    0.05643    0.03212
0.59316
a2 |   0.10455    0.03304    0.40118   -0.04851   -0.05200
0.82197
a3 |   0.04460   -0.04717    0.60992   -0.09371   -0.07909
0.60875
a4 |   0.07728    0.03222    0.75800   -0.04382   -0.03907
0.41499
a5 |   0.01562   -0.00351    0.73121   -0.04392   -0.01163
0.46301
a6 |   0.09008    0.06295    0.64707   -0.02238   -0.02524
0.56808
c1 |   0.08848   -0.02149    0.02900   -0.02373   -0.58493
0.64817
c2 |   0.12784   -0.00185    0.00034    0.01020   -0.51570
0.71761
c3 |   0.09289    0.02513   -0.00146   -0.05587   -0.56753
0.66553
c4 |   0.09464    0.02598   -0.01812    0.00678   -0.42216
0.81178
c5 |   0.21983    0.03340    0.05439   -0.03550   -0.50956
0.68669
c6 |   0.11267    0.00783   -0.01541    0.00337   -0.31923
0.88509
c7 |   0.15260    0.04011    0.12140   -0.15584   -0.45336
0.73054
c8 |  -0.00812    0.00376   -0.04339    0.02149   -0.36742
0.86258
c9 |   0.01808   -0.01342   -0.05341    0.00694   -0.38427
0.84893
cf |   0.15428    0.02918    0.05791   -0.12329   -0.78756
0.33655
e1 |   0.63491   -0.10296    0.13110   -0.10639   -0.06108
0.55405
e2 |   0.68796   -0.02091    0.06380   -0.02078   -0.12110
0.50710
e3 |   0.71272   -0.07960    0.08112   -0.10321   -0.06444
0.46431
e4 |   0.57719   -0.04474   -0.03132   -0.15332   -0.03674
0.63902
e5 |   0.65763   -0.03087   -0.03873   -0.13775   -0.10177
0.53574
e6 |   0.59948    0.01259    0.01866   -0.03055   -0.10740
0.62765
e7 |   0.56737   -0.03262    0.06130   -0.13192   -0.03330
0.65476
e8 |   0.58700    0.01671   -0.01369   -0.01773   -0.15762
0.62981
e9 |   0.49405    0.00744   -0.01707   -0.01864   -0.25699
0.68918
e10 |   0.54398   -0.07773    0.04294   -0.13463   -0.01489
0.67785
ef |   0.79078   -0.15947    0.06705   -0.13079   -0.05365
0.32476
f1 |  -0.18160    0.58373    0.04224   -0.04246   -0.02540
0.62205
f2 |  -0.05593    0.66232    0.04487    0.01803   -0.01298
0.55570
f3 |  -0.10977    0.68480    0.03177   -0.02662   -0.00867
0.51721
f4 |  -0.10419    0.51132   -0.01673   -0.10854   -0.01326
0.71546
f5 |  -0.07179    0.61213   -0.02720   -0.08600   -0.03039
0.61109
f6 |  -0.03413    0.55625    0.02017    0.00255    0.00847
0.68894
f7 |  -0.07089    0.49805    0.02822   -0.05908    0.00185
0.74263
f8 |  -0.00240    0.55675   -0.00731    0.01288   -0.00364
0.68979
f9 |  -0.03428    0.46235   -0.00149   -0.02454   -0.06112
0.78072
f10 |  -0.12617    0.43153   -0.00006   -0.09886   -0.02363
0.78753
g1 |   0.17227    0.06253    0.04390   -0.53569   -0.04891
0.67513
g2 |   0.02645   -0.01621    0.05289   -0.58469   -0.02448
0.65378
g3 |   0.03085   -0.00837   -0.00739   -0.50214   -0.00635
0.74674
g4 |   0.01783    0.00185    0.01745   -0.34630   -0.03850
0.87797
g5 |   0.10098   -0.01174   -0.00106   -0.47510    0.00911
0.76386
g6 |   0.04706   -0.00121   -0.01568   -0.36134    0.00557
0.86694
g7 |   0.09630    0.08247    0.21848   -0.39020   -0.06359
0.77989
g8 |   0.20544    0.10297   -0.05070   -0.54173   -0.13911
0.63180
g9 |   0.19253    0.09007   -0.06495   -0.48596   -0.14463
0.69352
g10 |   0.17666    0.06880   -0.07162   -0.29170   -0.23732
0.81752
g11 |   0.19442    0.03688    0.08160   -0.51381   -0.03176
0.68917
gf |   0.19101    0.03908    0.08012   -0.77510   -0.07151
0.34968

Mplus output (it returns 4 factors even though 5 were allowed):

1             2             3             4
5
________      ________      ________      ________
________
A1             0.012        -0.025        -0.027         0.635
0.008
A2             0.032         0.120         0.077         0.352
0.027
A3             0.058         0.066         0.092         0.534
0.008
A4             0.015         0.051         0.078         0.769
0.011
A5             0.009        -0.021         0.055         0.722
-0.017
A6             0.001         0.065         0.070         0.632
-0.022
C1             0.086         0.684         0.079         0.080
-0.095
C2             0.108         0.708         0.077         0.063
-0.116
C3             0.037         0.652         0.115         0.032
-0.005
C4             0.062         0.682         0.119         0.042
-0.094
C5             0.128         0.741         0.197         0.149
0.134
C6             0.137         0.641         0.123         0.008
0.194
C7             0.063         0.527         0.245         0.167
0.225
C8            -0.013         0.760         0.053        -0.049
-0.287
C9             0.099         0.728         0.121        -0.046
-0.763
CF             0.049         0.942         0.133         0.083
0.112
E1             0.859         0.171         0.182         0.183
0.063
E2             0.848         0.301         0.158         0.146
-0.046
E3             0.884         0.221         0.219         0.132
0.021
E4             0.813         0.160         0.288        -0.014
-0.151
E5             0.842         0.265         0.294        -0.021
-0.075
E6             0.812         0.277         0.203         0.101
-0.013
E7             0.810         0.154         0.263         0.132
0.014
E8             0.804         0.344         0.189         0.046
-0.061
E9             0.771         0.448         0.165         0.034
-0.024
E10            0.811         0.091         0.219         0.067
0.020
EF             0.947         0.177         0.218         0.086
-0.009
F1            -0.901         0.009         0.025         0.056
-0.017
F2            -0.903         0.101         0.035         0.113
0.074
F3            -0.925         0.044         0.076         0.059
0.096
F4            -0.871         0.012         0.190        -0.029
-0.222
F5            -0.913         0.126         0.208        -0.045
-0.080
F6            -0.858         0.046         0.070         0.065
0.008
F7            -0.851         0.003         0.135         0.077
-0.067
F8            -0.862         0.117         0.115        -0.006
0.565
F9            -0.848         0.241         0.097         0.000
0.176
F10           -0.832        -0.015         0.133        -0.012
-0.157
G1             0.039         0.152         0.688         0.104
-0.106
G2             0.017         0.015         0.660         0.091
-0.098
G3             0.018         0.012         0.612         0.017
-0.018
G4             0.010         0.079         0.431         0.035
0.039
G5             0.078         0.024         0.540         0.013
0.100
G6             0.047        -0.008         0.612         0.025
-0.082
G7            -0.006         0.123         0.474         0.278
0.175
G8             0.026         0.321         0.678        -0.034
-0.012
G9             0.031         0.321         0.650        -0.032
-0.036
G10            0.056         0.461         0.550        -0.039
-0.036
G11            0.088         0.127         0.653         0.146
0.090
GF             0.063         0.111         0.895         0.082
-0.008

*
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*   http://www.stata.com/support/faqs/res/findit.html
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*   http://www.ats.ucla.edu/stat/stata/
```