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

From the book "Intelligence, Genes, and Success: Scientists Respond to The Bell Curve", there is the following paragraph from Carroll's chapter (p143) :

Quote:It is necessary to reject two proposals that have sometimes been made to support the notion of a general intelligence factor: (1) The finding of uniformly positive intercorrelations ofcognitive variables as an indicator of the presence of a general factor. The mere fact that cognitive variables are positively correlated does not adequately validate the presence of a single general factor. It might indicate the presence of multiple general factors. (2) General factors identified as first principal components or principal factors in the factor analysis of a dataset. The first principal component, or eigenvector, is that vector that produces (under appropriate constraints) the maximal variance obtainable from a linear combination of the variables. The major problem with this proposal is that even if no general factor underlies the variables, the size of the first eigenroot is necessarily still relatively large, as compared with other eigenroots. The first principal component derived from a matrix of randomly generated correlations is necessarily larger than the remaining components. The first principal component is therefore not a valid indicator of the presence of a general factor. The same applies to the first principal factor (computed in such a way as to estimate the communalities of the variables).

In view of these considerations, only the complete factor analysis (either exploratory or confirmatory, or both) of a set of variables should be used to judge the presence of a general factor. We now give tentative conceptual and operational definitions of a general factor.

I thought he could be right. EFA as well as CFA should be used, as they are complementary. But you note that Revelle seems to disagree (this practice was apparently used to find a general factor of personality, by Rushton & Irwing, and others) and prefer the use of the hierarchical "Omega" which is the method you use in your section 12, to evaluate the strength of g. Honestly, the paper "The general factor of personality: A general critique." (Revelle & Wilt 2013) you linked was not easy to read. The authors do not specify clearly the advantage of Omega, unless it's just me.

I would say a more meaningful summary of the advantage of Omega is the paragraph here (from the pdf package psych) :

Quote:The omega function uses exploratory factor analysis to estimate the omega_h coefficient. It is important to remember that “A recommendation that should be heeded, regardless of the method chosen to estimate ω_h, is to always examine the pattern of the estimated general factor loadings prior to estimating ω_h. Such an examination constitutes an informal test of the assumption that there is a latent variable common to all of the scale's indicators that can be conducted even in the context of EFA. If the loadings were salient for only a relatively small subset of the indicators, this would suggest that there is no true general factor underlying the covariance matrix. Just such an informal assumption test would have afforded a great deal of protection against the possibility of misinterpreting the misleading ω_h estimates occasionally produced in the simulations reported here." (Zinbarg et al., 2006, p 137).

From Revelle & Wilt (2013) table 1, it is said that the sets S1 and S5 have a pattern consistent with the existence of g, but not the sets S4 and S8. For S4 and S8, this conclusion is explicited by the fact that a portion of the correlations are just zero while some others are strong. Do you agree with this interpretation of g/no g ?

Furthermore, I would like to know if you have found the cause of the problem with the Promax rotation and its low loadings.

Also, you can, if you want, talk a little bit about the consequences of finding such general socioeconomic factor. The mail you sent me was fine, for example.

And finally :

Quote:in the Schmid-Leiman transformation and divide it by the number of variables (Λg(Λ/N)). This is the amount of variance accounted

Shouldn't it be Λg/N instead ? (see Revelle & Wilt 2013 p 496)

Quote:The strength of the S factor in the international data is quite similar to, perhaps a little stronger than, the g factor in the classic datasets, while the general factor of personality is clearly weaker.

You don't need to put a comma after "stronger than".

P.S. there is a problem with reference 23. The length of the link goes out of bound. I think you already know it, but is there is no possibility to correct for this ?

[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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