Personality Scales for Intelligent Adults - Statistics of Rational scale

© Jan. 2011 Paul Cooijmans

Introduction

These statistics are from the version of the P.S.I.A. that was in use from 2003 to 2007, and was highly similar to the later Revision 2007. The scores are t-scores (mean = 50, σ = 10) normed on an earlier group (partly overlapping this one), so this group may not have an exact mean and σ of 50 and 10. An explanation of the scale can be found through the test's order page.

Explanatory and analytical remarks regarding the interpretation of the statistics are purposely largely avoided, so it is up to the reader to study the report carefully and thus obtain a clear impression of the test's validity - that is, "what it measures". Although the statistics sometimes reveal an almost chilling discriminative power, experience shows that explicitly observing that in a remark tends to evoke negative responses in persons who recognize themselves ("Your remark betrays that your are biased! The test only measures your personal biases!", etcetera).

Scores on P.S.I.A. Rational

Contents type: Personality test other than for mental ability.   Period: 2003-2007

22 *
24 *
25 **
27 *
29 *
30 *
31 *
34 ***
35 ****
36 *****
37 *********
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 *******
64 ***
65 ********
66 *
67 ****
68 **
69 ***
70 *
71 *
72 *
82 *

Scores by males

n = 237

25 *
29 *
30 *
31 *
34 *
35 ****
36 *****
37 *****
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 *******
64 ***
65 *******
66 *
67 ****
68 **
69 ***
70 *
71 *
72 *
82 *

Scores by females

n = 57

22 *
24 *
25 *
27 *
34 **
37 ****
38 ****
39 **
40 **
41 ***
42 *******
43 *
44 **
45 *
46 ***
48 **
50 ***
51 **
52 **
53 **
54 *
55 *
56 **
57 **
58 **
61 *
62 *
65 *

Correlation of P.S.I.A. Rational with other tests by Paul Cooijmans

Test n r
Analogies of Long Test For Genius130.85
Long Test For Genius90.76
Odds70.65
Reason - Revision 200850.59
Spatial Insight Test140.56
Bonsai Test60.54
Reason Behind Multiple-Choice - Revision 200850.47
The Sargasso Test50.46
Spatial section of Test For Genius - Revision 2004260.42
Qoymans Multiple-Choice #170.38
Space, Time, and Hyperspace230.38
Qoymans Multiple-Choice #260.36
Test For Genius - Revision 2004260.33
The Nemesis Test70.30
Isis Test110.27
Test of the Beheaded Man50.26
The Test To End All Tests130.22
Qoymans Multiple-Choice #550.19
Qoymans Multiple-Choice #3250.18
Associative LIMIT Test60.18
Numerical Insight Test80.16
Association subtest of Long Test For Genius140.12
Qoymans Multiple-Choice #4910.11
Intelligence Quantifier by assessment150.09
Lieshout International Mesospheric Intelligence Test160.09
Reason Behind Multiple-Choice110.06
Verbal section of Test For Genius - Revision 2004260.05
Genius Association Test290.01
Numbers160.01
The Final Test220.01
Reason13-0.02
Cooijmans Intelligence Test - Form 220-0.03
KIT Intelligence Test - first attempts8-0.10
Cartoons of Shock7-0.25
Test of Shock and Awe9-0.29
Qoymans Automatic Test #35-0.30
Cooijmans Intelligence Test - Form 17-0.35
Cooijmans On-Line Test5-0.58

Weighted average of correlations: 0.176

Conservatively estimated minimum g loading: 0.42

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.

Correlation of P.S.I.A. Rational with tests by others

Test n r
T.R.I.50.75
Graduate Record Examination50.60
Epiq Tests60.58
Nonverbal Cognitive Performance Examination200.48
Titan Test80.46
Scholastic Aptitude Test (old)80.31
Unknown tests220.23
Logima Strictica 36160.21
Mysterium Entrance Exam120.19
Raven's Advanced Progressive Matrices (raw)70.15
Cito-toets50.14
Wechsler Adult Intelligence Scales90.10
International High IQ Society Miscellaneous tests110.06
Culture Fair Numerical Spatial Examination - Final version11-0.06
Cattell Culture Fair10-0.07
Sigma Test10-0.07
American College Testing program7-0.16
Strict Logic Sequences Exam I19-0.17
916 Test5-0.28
Raven's Advanced Progressive Matrices (I.Q.)5-0.72
W-876-0.97

Weighted average of correlations: 0.110

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.

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.

Estimated loadings of P.S.I.A. Rational on particular item types

These are estimated g factor loadings, but against homogeneous tests containing only particular item types, as opposed to non-compound heterogeneous tests. Although tending to surprise the lay person, it is not uncommon for tests to have high loadings on item types they do not actually contain themselves. Such loadings reflect the empirical fact that most tests for mental abilities measure primarily g, regardless of their contents; that the major part of test score variance is caused by g, and only a minor part by factors germane to particular item types. It is of key importance to understand that this is a fact of nature, a natural phenomenon, and not something that was built into the tests by the test constructors.

Typeg loading of P.S.I.A. Rational on that type
Verbal0.39
Numerical0.44
Spatial0.60
Logical-0.10
Heterogeneous0.19

There is no overlap between the categories in this table as a result of leaving out compound tests.

Balanced g loading = 0.30

National means for P.S.I.A. Rational

Country n mean score
Mexico367.00
Austria263.00
France259.50
Spain659.00
Bulgaria258.50
Germany1257.17
Israel455.00
United_Kingdom1354.15
Belgium854.13
Bosnia_and_Herzegovina254.00
Sweden1753.88
Denmark253.50
Italy352.00
New_Zealand251.50
Finland551.00
Australia650.17
Philippines249.50
China349.00
Netherlands3448.82
South_Africa448.75
United_States9848.61
Poland348.00
Brazil747.71
Norway547.60
India1247.17
Korea_South347.00
Canada946.78
Turkey446.50
Yugoslavia546.40
Argentina244.00
Romania244.00

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 of P.S.I.A. Rational with personal details

Personalia n r
Sex2940.28
P.S.I.A. System factor470.27
P.S.I.A. Cold2950.25
P.S.I.A. Ethics factor2950.17
P.S.I.A. Introverted2950.16
Educational level2920.12
P.S.I.A. Extreme2950.11
P.S.I.A. True2950.07
Mother's educational level2790.07
Year of birth2920.05
Observed behaviour210.04
Father's educational level2770.03
P.S.I.A. Deviance factor2950.03
P.S.I.A. Just295-0.01
P.S.I.A. Orderly295-0.02
P.S.I.A. Aspergoid295-0.03
P.S.I.A. Rare295-0.07
Observed associative horizon9-0.08
P.S.I.A. Neurotic295-0.13
Disorders (own)292-0.15
Disorders (parents and siblings)291-0.15
P.S.I.A. Cruel295-0.19
Gifted Adult's Inventory of Aspergerisms17-0.21
P.S.I.A. Antisocial295-0.24

Correlation with personal details of P.S.I.A. Rational - within females

Personalia n r
P.S.I.A. System factor100.38
Mother's educational level470.36
Father's educational level470.24
Year of birth550.22
Educational level550.16
P.S.I.A. Introverted570.14
P.S.I.A. Orderly570.02
P.S.I.A. Extreme570.01
P.S.I.A. Cold570.01
P.S.I.A. Ethics factor57-0.05
Disorders (parents and siblings)54-0.05
P.S.I.A. Just57-0.06
P.S.I.A. Deviance factor57-0.12
P.S.I.A. Aspergoid57-0.15
P.S.I.A. True57-0.18
P.S.I.A. Cruel57-0.22
P.S.I.A. Neurotic57-0.25
P.S.I.A. Rare57-0.31
Disorders (own)55-0.34
P.S.I.A. Antisocial57-0.37
Gifted Adult's Inventory of Aspergerisms3-0.83

Correlation with personal details of P.S.I.A. Rational - within males

Personalia n r
P.S.I.A. Cold2370.25
P.S.I.A. System factor370.25
P.S.I.A. Ethics factor2370.23
P.S.I.A. Extreme2370.16
P.S.I.A. Introverted2370.15
P.S.I.A. True2370.12
Observed behaviour190.09
Educational level2370.08
Year of birth2370.06
P.S.I.A. Deviance factor2370.04
Mother's educational level2320.03
P.S.I.A. Just237-0.02
Father's educational level230-0.03
Observed associative horizon8-0.03
P.S.I.A. Orderly237-0.03
P.S.I.A. Rare237-0.04
P.S.I.A. Neurotic237-0.04
P.S.I.A. Aspergoid237-0.04
Disorders (own)237-0.11
Gifted Adult's Inventory of Aspergerisms14-0.11
Disorders (parents and siblings)237-0.16
P.S.I.A. Cruel237-0.23
P.S.I.A. Antisocial237-0.23

Correlation with national I.Q.s of P.S.I.A. Rational

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, so some inevitable depression must be taken into account.

ScoreUpward (n)Downward (n)
200.42 (546)NaN (0)
400.42 (475)0.27 (20)
500.18 (286)0.17 (178)
600.47 (24)0.45 (454)
90NaN (0)0.42 (546)