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[ODP] The international general socioeconomic factor: Factor analyzing international

#50
So, it seems that promax was mostly used because it gives similar results to oblimin but requires less computing. That was relevant back when computers were weak or rotation was done in hand, but not very relevant any more.

To further explore the idea of oblique rotations in higher levels, I did the following:

Used schmid() in every combination of factor method and rotation. Correlated the loadings (factor congruence didn't work here) with the loadings from the first unrotated factor using the same extraction method. Did for both datasets. Scores were not available, so it wasn't possible to correlate them.

Results:
Code:
> y.sl.df
       oblimin simplimax promax
minres    1.00      1.00   1.00
pa        0.99      0.90   0.98
ml        0.98      0.85   0.97
> z.sl.df
       oblimin simplimax promax
minres    0.97      0.97   0.99
pa        0.97      1.00   0.99
ml        0.98      0.99   0.99


Results were remarkable similar.

Given uncertainty about how schmid works precisely, I wanted to compare it with a manual extraction of the 3rd order general factor. Concretely, I extracted the first unrotated factor. Then I extracted the first 8/9 factors. Then I used those to extract 3 factors. Then I used those to extract 1 general factor. Loadings were not available because the last factor is extracted from 2nd order factors, not the manifest variables. Factor scores were available so I used them.

Results:
Code:
> y.oblique.df
       promax oblimin simplimax bentlerQ geominQ biquartimin
minres   0.80    0.87      0.04     0.86    0.63        0.05
wls      0.55    0.87     -0.01    -0.86    0.80        0.10
gls      0.61    0.85     -0.01    -0.86    0.78        0.14
pa       0.64    0.92      0.01    -0.85    0.66       -0.04
ml       0.63    0.97      0.11     0.99    0.83        0.34
minchi   0.83    0.97     -0.12     0.84    0.99        0.09
> z.oblique.df
       promax oblimin simplimax bentlerQ geominQ biquartimin
minres   0.55    0.97     -0.05     0.91    0.34        0.00
wls      0.90    0.86      0.00     0.92    0.16       -0.04
gls      0.90    0.88      0.00     0.93    0.03       -0.01
pa       0.87    0.68     -0.07     0.50    0.86        0.03
ml       0.59    0.98      0.12     0.95   -0.27        0.00
minchi   0.94    0.97      0.01     0.92    0.76       -0.11


What to make of this? Average by rotation method:

Code:
> round(apply(y.oblique.df,2,mean),2)
     promax     oblimin   simplimax    bentlerQ     geominQ biquartimin
       0.68        0.91        0.00        0.02        0.78        0.11

> round(apply(z.oblique.df,2,mean),2)
     promax     oblimin   simplimax    bentlerQ     geominQ biquartimin
       0.79        0.89        0.00        0.86        0.31       -0.02


Average by factor method:
Code:
> round(apply(y.oblique.df,1,mean),2)
minres    wls    gls     pa     ml minchi
  0.54   0.24   0.25   0.22   0.64   0.60
> round(apply(z.oblique.df,1,mean),2)
minres    wls    gls     pa     ml minchi
  0.45   0.47   0.46   0.48   0.39   0.58


We see that oblimin consistently gives the highest correlations with promax somewhat behind. The strongly divergent results for bentlerQ is due to the factor being reversed half of the time in SPI. As for factor method, we see varied results, perhaps chance flukes.

Thoughts about what to make of this?

The minchi method is apparently another method of extraction that I either missed when I looked the first time, or was recently added. I have rerun the earlier analyses with it and they are more of the same.
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Messages In This Thread
[ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-20, 13:17:51
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-20, 16:55:01
Reply to Duxide - by Emil - 2014-Jul-20, 17:27:26
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-20, 18:33:29
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-21, 01:00:07
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-21, 10:38:03
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-21, 18:12:13
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-21, 18:36:51
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-22, 00:07:40
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-22, 09:12:52
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-22, 14:06:08
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-22, 15:53:00
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-22, 15:55:32
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-22, 16:02:43
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-22, 16:12:58
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-22, 18:08:44
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-22, 18:13:10
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-22, 19:02:49
Another draft - by Emil - 2014-Jul-23, 22:38:30
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Jul-23, 22:54:08
RE: [ODP] The international general socioeconomic factor - by Meng Hu - 2014-Jul-25, 22:28:31
Response to Meng Hu - by Emil - 2014-Jul-26, 17:14:16
RE: [ODP] The international general socioeconomic factor - by Meng Hu - 2014-Jul-30, 21:07:43
RE: [ODP] The international general socioeconomic factor: Factor analyzing - by Dalliard - 2014-Aug-01, 17:20:07
RE: [ODP] The international general socioeconomic factor - by Meng Hu - 2014-Aug-01, 23:32:03
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Jul-28, 16:34:59
RE: [ODP] The international general socioeconomic factor: Factor analyzing - by Dalliard - 2014-Jul-28, 19:16:48
Reply to Dalliard - by Emil - 2014-Jul-29, 01:24:01
R file - by Emil - 2014-Jul-29, 01:25:14
RE: [ODP] The international general socioeconomic factor: Factor analyzing - by Dalliard - 2014-Jul-30, 19:35:22
Reply to Dailiard #2 - by Emil - 2014-Aug-03, 15:51:45
Post title limits - by Emil - 2014-Jul-30, 21:20:01
Quick note about nfactors - by Emil - 2014-Jul-31, 20:25:10
Correlated factors - by Emil - 2014-Aug-01, 18:37:50
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-03, 18:52:45
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-06, 01:45:44
RE: [ODP] The international general socioeconomic factor - by Dalliard - 2014-Aug-06, 22:50:06
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-07, 00:57:56
Reversing - by Emil - 2014-Aug-09, 17:17:57
New draft - by Emil - 2014-Aug-09, 19:21:48
Fix to the intercorrelation error - by Emil - 2014-Aug-11, 06:50:19
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Aug-11, 09:45:02
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-11, 19:12:21
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Aug-11, 20:27:02
RE: [ODP] The international general socioeconomic factor - by Meng Hu - 2014-Aug-12, 03:23:36
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-12, 04:04:33
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Meng Hu - 2014-Aug-12, 04:33:00
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-12, 05:07:11
Promax - by Emil - 2014-Aug-12, 05:52:53
Schmid Leiman and manually 3 stratum - by Emil - 2014-Aug-13, 07:02:24
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Dalliard - 2014-Aug-16, 20:13:36
New draft, 17th aug. - by Emil - 2014-Aug-17, 23:06:06
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Duxide - 2014-Aug-19, 19:27:20
RE: [ODP] The international general socioeconomic factor - by Meng Hu - 2014-Aug-26, 03:20:37
Response to MH, #54 - by Emil - 2014-Aug-26, 04:33:22
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Meng Hu - 2014-Aug-26, 22:38:19
Reply to MH #56 - by Emil - 2014-Aug-27, 01:06:14
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Meng Hu - 2014-Aug-27, 01:44:34
New version - by Emil - 2014-Aug-27, 19:02:10
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Meng Hu - 2014-Aug-27, 19:58:29
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Aug-27, 20:20:23
RE: [ODP] The international general socioeconomic factor - by Dalliard - 2014-Aug-29, 16:57:41
Reply to Dalliard, #62 - by Emil - 2014-Aug-30, 18:47:10
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Chuck - 2014-Sep-03, 05:04:42
Reply to Chuck - by Emil - 2014-Sep-03, 12:49:10
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Chuck - 2014-Sep-03, 19:45:50
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Sep-05, 00:10:45
Candidate release - by Emil - 2014-Sep-08, 17:19:42
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Chuck - 2014-Sep-08, 19:25:34
Copyright - by Emil - 2014-Sep-08, 21:31:06
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Sep-08, 21:37:56
RE: [ODP] The international general socioeconomic factor: Factor analyzing international - by Emil - 2014-Sep-10, 22:33:12
 
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