Personality Scales for Intelligent Adults - Statistics of Rare 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. Rare

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

20 *
23 ***
26 *
27 **
28 *
29 ***
30 *******
31 ***
32 **
33 ****
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 **
71 *
72 *
73 **

Scores by males

n = 237

23 **
26 *
27 *
29 ***
30 ***
31 ***
32 *
33 ***
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 *
71 *
72 *
73 *

Scores by females

n = 57

20 *
23 *
27 *
28 *
30 ****
32 *
33 *
34 *
35 *
36 *
38 *
39 **
40 *
41 ****
42 *
43 *
44 **
45 **
46 **
47 *
48 **
49 **
50 **
53 **
55 ***
56 **
57 **
58 ***
59 **
61 *
62 **
63 **
69 *
73 *

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

Test n r
The Sargasso Test50.72
Odds70.67
Qoymans Automatic Test #350.59
Numbers160.47
Qoymans Multiple-Choice #170.43
KIT Intelligence Test - first attempts80.40
Cooijmans Intelligence Test - Form 2200.32
Cooijmans On-Line Test50.28
Lieshout International Mesospheric Intelligence Test160.27
Test of the Beheaded Man50.23
Cooijmans Intelligence Test - Form 170.22
The Nemesis Test70.20
Spatial Insight Test140.17
Qoymans Multiple-Choice #550.13
Intelligence Quantifier by assessment150.07
Qoymans Multiple-Choice #4910.06
Reason Behind Multiple-Choice110.06
Isis Test110.05
Verbal section of Test For Genius - Revision 2004260.04
Qoymans Multiple-Choice #260.04
The Final Test220.03
Qoymans Multiple-Choice #325-0.01
Long Test For Genius9-0.03
Space, Time, and Hyperspace23-0.06
Test For Genius - Revision 200426-0.07
Spatial section of Test For Genius - Revision 200426-0.12
Numerical Insight Test8-0.12
Genius Association Test29-0.14
Reason13-0.15
Cartoons of Shock7-0.16
The Test To End All Tests13-0.18
Reason Behind Multiple-Choice - Revision 20085-0.18
Analogies of Long Test For Genius13-0.20
Test of Shock and Awe9-0.27
Bonsai Test6-0.29
Association subtest of Long Test For Genius14-0.32
Reason - Revision 20085-0.34
Associative LIMIT Test6-0.60

Weighted average of correlations: 0.037

Conservatively estimated minimum g loading: 0.19

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. Rare with tests by others

Test n r
916 Test50.72
Sigma Test100.57
Cattell Culture Fair100.48
Mysterium Entrance Exam120.40
Cito-toets50.38
Graduate Record Examination50.35
Scholastic Aptitude Test (old)80.32
Nonverbal Cognitive Performance Examination200.31
Raven's Advanced Progressive Matrices (I.Q.)50.29
Logima Strictica 36160.24
American College Testing program70.24
Wechsler Adult Intelligence Scales90.13
Strict Logic Sequences Exam I190.10
Raven's Advanced Progressive Matrices (raw)70.03
Culture Fair Numerical Spatial Examination - Final version11-0.02
Titan Test8-0.10
International High IQ Society Miscellaneous tests11-0.20
Unknown tests22-0.33
Epiq Tests6-0.44
T.R.I.5-0.48
W-876-0.69

Weighted average of correlations: 0.106

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. Rare 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. Rare on that type
Verbal-0.08
Numerical0.60
Spatial0.17
Logical-0.31
Heterogeneous0.39

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

Balanced g loading = 0.15

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

Country n mean score
Argentina260.50
Mexico358.33
Norway556.00
Philippines254.50
Brazil754.00
Canada953.78
Italy353.33
New_Zealand252.00
South_Africa451.50
United_States9851.45
Poland351.33
Turkey447.75
Sweden1747.71
Korea_South347.67
France247.50
Germany1247.50
India1247.42
Austria247.00
Bulgaria247.00
China345.67
Romania244.50
Netherlands3444.26
United_Kingdom1344.08
Belgium844.00
Finland543.00
Australia642.67
Bosnia_and_Herzegovina242.00
Israel441.25
Spain640.83
Denmark240.00
Yugoslavia538.40

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. Rare with personal details

Personalia n r
P.S.I.A. Deviance factor2950.85
P.S.I.A. Aspergoid2950.67
Gifted Adult's Inventory of Aspergerisms170.64
P.S.I.A. Introverted2950.57
P.S.I.A. Antisocial2950.47
P.S.I.A. Neurotic2950.43
Observed associative horizon90.42
P.S.I.A. Extreme2950.31
Observed behaviour210.28
Disorders (own)2920.26
Disorders (parents and siblings)2910.21
P.S.I.A. System factor470.19
Year of birth2920.19
P.S.I.A. True2950.18
Father's educational level2770.14
Mother's educational level2790.10
Sex2940.09
P.S.I.A. Just2950.09
P.S.I.A. Ethics factor2950.08
P.S.I.A. Cruel2950.08
P.S.I.A. Cold2950.07
P.S.I.A. Rational295-0.07
P.S.I.A. Orderly295-0.10
Educational level292-0.18

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

Personalia n r
P.S.I.A. Deviance factor570.85
P.S.I.A. Aspergoid570.71
P.S.I.A. Neurotic570.62
P.S.I.A. Introverted570.54
P.S.I.A. Antisocial570.48
Gifted Adult's Inventory of Aspergerisms30.47
Disorders (own)550.37
Disorders (parents and siblings)540.29
P.S.I.A. Extreme570.29
P.S.I.A. True570.21
P.S.I.A. Ethics factor570.13
Mother's educational level470.10
Father's educational level470.07
Educational level550.06
P.S.I.A. Cold570.02
P.S.I.A. Cruel570.02
P.S.I.A. System factor10-0.04
P.S.I.A. Just57-0.09
P.S.I.A. Orderly57-0.12
Year of birth55-0.16
P.S.I.A. Rational57-0.31

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

Personalia n r
P.S.I.A. Deviance factor2370.84
P.S.I.A. Aspergoid2370.67
Gifted Adult's Inventory of Aspergerisms140.65
P.S.I.A. Introverted2370.57
Observed associative horizon80.48
P.S.I.A. Antisocial2370.47
P.S.I.A. Neurotic2370.41
P.S.I.A. Extreme2370.33
Year of birth2370.27
Observed behaviour190.27
Disorders (own)2370.24
P.S.I.A. System factor370.23
Disorders (parents and siblings)2370.20
P.S.I.A. True2370.17
Father's educational level2300.16
P.S.I.A. Just2370.13
Mother's educational level2320.11
P.S.I.A. Cruel2370.09
P.S.I.A. Ethics factor2370.07
P.S.I.A. Cold2370.06
P.S.I.A. Rational237-0.04
P.S.I.A. Orderly237-0.10
Educational level237-0.26

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

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)
200.19 (546)NaN (0)
40-0.21 (356)0.60 (100)
500.31 (195)0.46 (272)
600.71 (30)0.24 (456)
80NaN (0)0.19 (546)