PSIA System Statistics

© September 2010 Paul Cooijmans

Introduction

These statistics are from test candidates required to take the Personality Scales for Intelligent Adults before taking I.Q. tests (which was the policy around 2004, 2005). The scores are t-scores (mean = 50, σ = 10) normed on an earlier group, so this group need not have an exact mean and σ of 50 and 10. The System factor was phased out early on in the development of the P.S.I.A. because it did not hold up well as a factor internally, but is interesting nevertheless because of its relatively high correlation with I.Q. scores, and may be reinstated later. It consisted of a normed weighted sum of the Cold, Just, and Orderly scales.

Scores

29 *
34 **
38 ***
39 ***
40 ****
41 *******
42 **
43 ***
44 ********
45 *****
46 *********
47 ***********
48 ******
49 *******
50 **********
51 ************
52 *******
53 ***********
54 *****
55 ******
56 *****
57 ****
58 **
59 ****
60 **
61 *****
62 **
63 **
66 *
67 ***
70 *
71 *
82 *
101 *

Scores by males

n = 125

29 *
34 *
38 *
39 **
40 ***
41 **
42 **
43 **
44 *******
45 *****
46 *********
47 ********
48 ******
49 *****
50 *********
51 ***********
52 *****
53 **********
54 *****
55 ****
56 ***
57 ***
58 **
59 ****
60 *
61 ****
62 **
63 **
66 *
67 ***
82 *
101 *

Scores by females

n = 31

34 *
38 **
39 *
40 *
41 *****
43 *
44 *
47 ***
49 **
50 *
51 *
52 **
53 *
55 **
56 **
57 *
60 *
61 *
70 *
71 *

Correlation with other tests by Paul Cooijmans

Test n r
Isis Test50.83
Low Countries Aptitude Test50.81
Qoymans Multiple-Choice #150.71
Odds50.68
Numerical Insight Test70.55
Short Test For Genius50.47
Cooijmans Intelligence Test - Form 270.46
Lieshout International Mesospheric Intelligence Test130.45
Associative LIMIT Test80.43
Qoymans Multiple-Choice #280.41
Qoymans Multiple-Choice #4250.38
Numbers120.37
Qoymans Automatic Test #250.33
Intelligence Quantifier by assessment110.33
Space, Time and Hyperspace290.33
Test of Shock and Awe80.29
Qoymans Automatic Test #170.28
Genius Association Test220.19
Analogies of Long Test For Genius200.17
Long Test For Genius170.17
The Final Test180.16
Reason Behind Multiple-Choice70.14
Qoymans Multiple-Choice #3560.08
Bonsai Test80.04
Association subtest of Long Test For Genius230.03
Spatial Insight Test140.01
Reason9-0.06
Spatial section of Test For Genius - Revision 20048-0.12
Test For Genius - Revision 20048-0.19
Verbal section of Test For Genius - Revision 20048-0.22
The Test To End All Tests7-0.33
Cooijmans Intelligence Test - Form 19-0.44
Cartoons of Shock5-0.51

Weighted average of correlations: 0.189

Conservatively estimated minimum g loading: 0.43

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Remark: It is unusual for a personality statistic to have a g loading like this; that is, to correlate positively with I.Q. tests.

Correlation with tests by others

Test n r
Strict Logic Spatial Exam 4850.91
T.R.I.60.82
Cattell Culture Fair50.76
Epiq Tests70.75
Graduate Record Examination40.54
International High IQ Society Verbal Test50.21
Wechsler Adult Intelligence Scales90.20
Sigma Test100.18
Nonverbal Cognitive Performance Examination190.15
916 Test40.14
Miller Analogies Test (raw; old version)40.12
Omega Contemplative Items Pool50.02
Strict Logic Sequences Exam I16-0.04
Unknown tests13-0.14
Cito-toets5-0.16
Logima Strictica 3611-0.18
American College Testing program4-0.20
Raven's Advanced Progressive Matrices (I.Q.)6-0.25
Culture Fair Numerical Spatial Examination - Final version5-0.49
International High IQ Society Miscellaneous tests6-0.58
International High IQ Society Ultimate IQ Test6-0.79

Weighted average of correlations: 0.072

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 4 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Please be aware that correlations with these external tests are in most cases affected (depressed, typically) by one or more of the following: 1) Little overlap with the object test because of the much lower ceilings and inherent ceiling effects of the tests used in regular psychology; 2) Candidates reporting scores selectively, for instance only the higher ones while withholding lower ones; 3) Candidates reporting, or having been reported by psychometricians, incorrect scores.

National means

Country n Mean score
Mexico268.50
Bosnia_and_Herzegovina257.50
France257.50
Canada754.71
Poland354.67
Norway253.50
United_States5151.49
Sweden551.40
India551.00
Netherlands2450.04
Iran249.50
United_Kingdom649.17
Germany1148.73
Brazil548.20
Belgium348.00
Israel248.00
Denmark347.67
Spain247.50
Greece345.67
Finland444.75

For reasons of privacy, only countries with 2 or more candidates are included in this table. Ranking is based on the unrounded means, and then alphabetic.

Correlation with personal details

Personalia n r
P.S.I.A. Cold470.81
P.S.I.A. Just470.69
P.S.I.A. Orderly470.65
Gifted Adult's Inventory of Aspergerisms130.56
P.S.I.A. Aspergoid470.44
P.S.I.A. Introverted470.40
P.S.I.A. True470.37
P.S.I.A. Rational470.27
P.S.I.A. Deviance factor1560.24
Observed behaviour is good140.21
P.S.I.A. Rare470.19
P.S.I.A. Ethics factor1560.18
P.S.I.A. Extreme470.11
Is male1560.10
Disorders (parents and siblings)1560.07
Educational level1560.05
P.S.I.A. Cruel47-0.03
Disorders (own)156-0.04
P.S.I.A. Neurotic47-0.08
Year of birth156-0.09
P.S.I.A. Antisocial47-0.11
Father's educational level151-0.11
Mother's educational level151-0.20

Remark: It is noteworthy that the System factor correlates similarly positively (and significantly) with Asperger-related scales as with g, while on the other hand those Asperger scales, as reported elsewhere, have clear negative correlations with g (in the same order of magnitude). It can be deduced that System apparently catches in mainly those aspects of Aspergerism that work positively toward I.Q. scores, while avoiding the negative, debilitating, disordered aspects. The latter is also demonstrated by the virtual absence of correlation with disorders.

Correlation with personal details - within females

Personalia n r
P.S.I.A. Just100.83
P.S.I.A. Orderly100.53
P.S.I.A. Cold100.52
P.S.I.A. Rational100.38
P.S.I.A. Introverted100.34
P.S.I.A. Deviance factor310.12
P.S.I.A. Neurotic100.08
P.S.I.A. Cruel100.08
P.S.I.A. Aspergoid100.06
Father's educational level310.03
P.S.I.A. True100.02
Educational level310.01
Mother's educational level30-0.01
P.S.I.A. Rare10-0.04
Disorders (parents and siblings)31-0.05
P.S.I.A. Antisocial10-0.08
Year of birth31-0.09
P.S.I.A. Ethics factor31-0.10
P.S.I.A. Extreme10-0.14
Disorders (own)31-0.35

Correlation with national I.Q.s

Correlation of this test with national average I.Q.s published by Lynn and Vanhanen:

Estimated g factor loadings Upward and Downward of specific scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The Upward and Downward values are calculated including the pertinent score itself. It is normal that g factor loadings go down when the range is restricted like this, but careful study of the Upward and Downward columns may reveal possible scores below or above which the test loses g altogether.

ScoreUpward (n)Downward (n)
29.40 (543)NaN (0)
35.40 (543)NaN (0)
40.37 (524)NaN (0)
45.26 (429).62 (33)
50.17 (224).47 (169)
55.55 (49).41 (374)
60-.70 (7).37 (481)
65NaN (0).39 (507)
70NaN (0).37 (520)
82NaN (0).40 (531)
101NaN (0).40 (543)