Statistics of Numerical and Spatial sections of Test For Genius - Revision 2010

© Paul Cooijmans

Scores on Combined Numerical and Spatial sections of Test For Genius - Revision 2010 as of 13 September 2019

Contents type: Numerical, spatial.   Period: 2010-2016

0 **
8 *
9 *
10 *****
11.5 *
12 **
12.5 *
13 ******
13.5 **
14 **
14.5 *
15 ****
15.5 *
16 *******
17 ******
18 *
19 **
19.5 *
20 *
21 **
21.5 *
22 *
23 *
23.5 **
24 *
25 ***

Note: The statistics of this test suffer somewhat from a lack of very high scores.

Correlation of Combined Numerical and Spatial sections of Test For Genius - Revision 2010 with other tests by Paul Cooijmans

(Test index) Test name n r
(21) Psychometric Qrosswords31.00
(57) Space, Time, and Hyperspace31.00
(42) The Marathon Test80.95
(66) Test For Genius - Revision 200460.94
(0) Test of the Beheaded Man80.94
(27) Spatial section of Test For Genius - Revision 2004560.93
(36) Reflections In Peroxide100.91
(105) Space, Time, and Hyperspace - Revision 201660.91
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201640.89
(69) Odds30.88
(30) Verbal section of The Marathon Test90.86
(43) Test For Genius - Revision 2010380.84
(35) Intelligence Quantifier by assessment160.83
(107) The Alchemist Test50.83
(31) Numerical section of The Marathon Test130.81
(111) Test For Genius - Revision 201650.80
(2) Cooijmans Intelligence Test - Form 3270.78
(48) Narcissus' last stand90.76
(19) Numerical section of Test For Genius - Revision 2010570.75
(45) Numerical and spatial sections of The Marathon Test120.75
(18) The Nemesis Test110.73
(23) Gliaweb Riddled Intelligence Test - Revision 2011160.68
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude110.67
(32) Spatial section of The Marathon Test130.65
(37) Problems In Gentle Slopes of the third degree60.63
(87) Cooijmans Intelligence Test - Form 230.63
(109) The Bonsai Test - Revision 201650.62
(46) Labyrinthine LIMIT60.61
(28) The Test To End All Tests100.61
(33) Problems In Gentle Slopes of the first degree70.59
(1) Cartoons of Shock150.58
(80) Qoymans Multiple-Choice #430.57
(108) Verbal section of Test For Genius - Revision 201650.57
(16) Lieshout International Mesospheric Intelligence Test230.56
(104) The Final Test - Revision 201370.53
(5) Daedalus Test70.53
(44) Associative LIMIT180.53
(103) Problems In Gentle Slopes of the second degree100.50
(68) Numbers60.48
(26) Verbal section of Test For Genius - Revision 2004390.48
(117) The Hammer Of Test-Hungry - Revision 201370.47
(106) Cooijmans Intelligence Test - Form 4160.40
(10) Genius Association Test200.39
(41) The LAW - Letters And Words50.38
(15) Letters60.34
(110) Cooijmans Intelligence Test 550.31
(7) The Final Test70.29
(40) Reason Behind Multiple-Choice - Revision 2008180.28
(25) The Sargasso Test120.27
(12) Cooijmans On-Line Test - Two-barrelled version110.25
(3) Qoymans Multiple-Choice #5180.25
(29) Words60.24
(11) Isis Test110.24
(24) Reason - Revision 2008180.21

Weighted average of correlations: 0.628 (weighted sum: 426.63)

Conservatively estimated minimum g loading: 0.79

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 3 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Correlation of Combined Numerical and Spatial sections of Test For Genius - Revision 2010 with tests by others

(Test index) Test name n r
(220) Cattell Culture Fair40.91
(211) Culture Fair Numerical Spatial Examination - Final version50.79
(212) Raven's Advanced Progressive Matrices (raw)40.56
(225) Logima Strictica 3650.54
(234) Strict Logic Sequences Exam I80.50
(226) Logima Strictica 2440.49
(242) Unknown and miscellaneous tests220.30
(238) 916 Test30.19
(246) Sequentia Numerica Form I5-0.15
(223) Strict Logic Sequences Exam II5-0.23
(240) Strict Logic Spatial Exam 483-0.37

Weighted average of correlations: 0.333 (weighted sum: 22.63)

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 3 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

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 Combined Numerical and Spatial sections of Test For Genius - Revision 2010 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 Combined Numerical and Spatial sections of Test For Genius - Revision 2010 on that type
Verbal0.68
Numerical0.86
Spatial0.90
Logical0.55
Heterogeneous0.77

Compound tests have been left out of this table to avoid overlap.

Balanced g loading = 0.75

National medians for Combined Numerical and Spatial sections of Test For Genius - Revision 2010

Country n median score
Greece221.0
India218.8
Canada218.5
Austria216.8
Italy316.0
Netherlands316.0
Japan215.3
United_States1315.0
Korea_South214.5
Spain314.5
Germany513.5
Sweden213.3

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

Correlation with national I.Q.'s of Combined Numerical and Spatial sections of Test For Genius - Revision 2010

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

Correlation of Combined Numerical and Spatial sections of Test For Genius - Revision 2010 with personal details

Personalia n r
Observed behaviour80.67
P.S.I.A. Antisocial80.42
P.S.I.A. Cold80.26
P.S.I.A. Introverted80.24
P.S.I.A. True80.21
Educational level520.18
P.S.I.A. Neurotic80.14
P.S.I.A. Rational80.12
P.S.I.A. Ethics factor130.12
Father's educational level490.11
Mother's educational level510.10
Sex560.07
P.S.I.A. Extreme80.06
P.S.I.A. Rare80.03
Year of birth57-0.03
P.S.I.A. Deviance factor13-0.04
P.S.I.A. Orderly8-0.09
Disorders (own)52-0.10
P.S.I.A. Just8-0.11
Disorders (parents and siblings)51-0.11
P.S.I.A. Cruel8-0.23
P.S.I.A. System factor13-0.23
P.S.I.A. Aspergoid8-0.29
Cooijmans Inventory of Neo-Marxist Attitudes4-0.52
Gifted Adult's Inventory of Aspergerisms9-0.64

Estimated g factor loadings upward and downward of particular scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The goal of this is to verify the hypothesis that g becomes less important, accounts for a smaller proportion of the variance, at higher I.Q. levels. The mere fact of restricting the range like this also depresses the g loading compared to computing it over the test's full range, so it would be normal for both values to be lower than the test's full-range g loading.

Raw scoreUpward g (n)Downward g (n)
00.79 (679)NaN (0)
12.80.65 (531)0.82 (104)
15.80.62 (290)0.81 (353)
170.54 (210)0.77 (497)
18-0.24 (146)0.77 (500)
18.8-0.27 (141)0.77 (500)
20-0.33 (121)0.78 (525)
21-0.44 (113)0.78 (540)
22-0.70 (83)0.78 (551)
23-0.70 (76)0.79 (577)
24-0.32 (14)0.82 (627)
39NaN (0)0.79 (679)

Note: From 18 upward this looks not so good. The Revision 2016 of the test aims to improve on this. The cause of this problem may lie partly or wholly in certain peculiarities of this group of candidates (rather than in the test itself) and that aspect is tackled in the Revision 2016 as well.

Reliability

The reliability of this test has been computed from the two subtest reliabilities using a form of the Spearman-Brown formula as .84. This is on the low side for a subtest that is also used as a test on its own. Again, the Revision 2016 should do better (see above paragraph).

Error

Robustness and overall test quality

Further internal statistics

Further internal statistics are reported on subtest level; it concerns the subtests Numerical section of Test For Genius - Revision 2010 and Spatial section of Test For Genius - Revision 2004, each having their own statistical report.