Statistics for the Spatial section of the Test For Genius - Revision 2004

© October 2015 Paul Cooijmans

Norms

Scores on Spatial section of Test For Genius - Revision 2004

Contents type: Spatial.   Period: 2004-present

0 ****
3 *
4 *
4.5 **
5 *
6 ***
6.5 *
7 ***
7.5 ***
8 ****
8.5 *
9 *****
9.5 **
10 ****
10.5 ****
11 **********
11.5 *
12 **********
13 *********
13.5 **
14 *********
14.5 **
15 *****
15.5 *
16 ***
16.5 ***
17 *************
18 ******
18.5 *
19 *
20 *
20.5 *
21 *
21.5 *
22.5 *

Correlation of Spatial section of Test For Genius - Revision 2004 with other tests by Paul Cooijmans

(Test index) Test name n r
(36) Reflections In Peroxide80.95
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010430.95
(21) Psychometric Qrosswords50.95
(66) Test For Genius - Revision 2004800.91
(48) Narcissus' last stand80.90
(42) The Marathon Test100.87
(63) Long Test For Genius140.86
(31) Numerical section of The Marathon Test110.85
(57) Space, Time, and Hyperspace190.85
(23) Gliaweb Riddled Intelligence Test - Revision 2011140.80
(45) Numerical and spatial sections of The Marathon Test110.78
(87) Cooijmans Intelligence Test - Form 2220.76
(2) Cooijmans Intelligence Test - Form 3280.74
(43) Test For Genius - Revision 2010280.74
(1) Cartoons of Shock230.71
(40) Reason Behind Multiple-Choice - Revision 2008250.71
(35) Intelligence Quantifier by assessment260.69
(104) The Final Test - Revision 201350.67
(24) Reason - Revision 2008250.65
(3) Qoymans Multiple-Choice #5250.64
(32) Spatial section of The Marathon Test110.62
(18) The Nemesis Test150.62
(0) Test of the Beheaded Man140.61
(79) Association subtest of Long Test For Genius150.61
(30) Verbal section of The Marathon Test110.60
(28) The Test To End All Tests210.59
(12) Cooijmans On-Line Test (Two-barrelled)90.58
(7) The Final Test240.55
(84) Bonsai Test90.53
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude60.52
(75) Analogies of Long Test For Genius150.51
(16) Lieshout International Mesospheric Intelligence Test410.51
(68) Numbers150.51
(44) Associative LIMIT270.51
(26) Verbal section of Test For Genius - Revision 20041050.50
(53) Qoymans Multiple-Choice #370.48
(83) KIT Intelligence Test - first attempts60.42
(62) Reason Behind Multiple-Choice180.41
(11) Isis Test210.40
(19) Numerical section of Test For Genius - Revision 2010430.40
(80) Qoymans Multiple-Choice #4310.40
(82) Reason190.40
(54) Test of Shock and Awe90.39
(46) Labyrinthine LIMIT60.36
(10) Genius Association Test380.35
(33) Problems In Gentle Slopes of the first degree100.25
(69) Odds90.23
(103) Problems In Gentle Slopes of the second degree90.22
(25) The Sargasso Test140.16
(55) Spatial Insight Test80.16
(5) Daedalus Test7-0.05
(41) The LAW - Letters And Words6-0.07
(74) Cooijmans On-Line Test5-0.11
(15) Letters7-0.14
(106) Cooijmans Intelligence Test - Form 49-0.28
(29) Words8-0.43

Weighted average of correlations: 0.573

Conservatively estimated minimum g loading: 0.76

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, including possible floor/ceiling scores or outliers.

Correlation of Spatial section of Test For Genius - Revision 2004 with tests by others

(Test index) Test name n r
(211) Culture Fair Numerical Spatial Examination - Final version170.71
(236) International High IQ Society Miscellaneous tests100.70
(235) Nonverbal Cognitive Performance Examination150.67
(239) Titan Test120.66
(218) Raven's Advanced Progressive Matrices (I.Q.)60.65
(234) Strict Logic Sequences Exam I230.56
(231) Mysterium Entrance Exam140.52
(248) Gliaweb Riddled Intelligence Test (old version)80.47
(226) Logima Strictica 2460.46
(225) Logima Strictica 36170.41
(242) Unknown and miscellaneous tests460.36
(237) Sigma Test60.29
(238) 916 Test90.28
(201) Wechsler Adult Intelligence Scales80.26
(224) T.R.I.50.24
(212) Raven's Advanced Progressive Matrices (raw)80.07
(240) Strict Logic Spatial Exam 48120.05
(227) Concep-T50.02
(223) Strict Logic Sequences Exam II8-0.02
(246) Sequentia Numerica Form I7-0.15
(217) G-test5-0.34
(220) Cattell Culture Fair6-0.43

Weighted average of correlations: 0.372

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, 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 Spatial section of Test For Genius - Revision 2004 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 Spatial section of Test For Genius - Revision 2004 on that type
Verbal0.68
Numerical0.68
Spatial0.76
Logical0.64
Heterogeneous0.74

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

Balanced g loading = 0.70

National medians for Spatial section of Test For Genius - Revision 2004

Country n median score
France218.8
Belgium216.5
Greece415.5
Switzerland215.5
Germany815.0
Canada414.5
Poland214.5
Sweden614.0
United_Kingdom713.0
Portugal212.3
Norway312.0
Italy411.8
Netherlands411.5
Australia511.0
Korea_South211.0
United_States3011.0
Spain510.5
Finland610.0

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 Spatial section of Test For Genius - Revision 2004

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

Correlation of Spatial section of Test For Genius - Revision 2004 with personal details

Personalia n r
P.S.I.A. Rational370.36
Observed associative horizon90.34
Candidate's self-estimated I.Q.190.32
Observed behaviour240.21
Sex1200.20
Educational level1120.16
Mother's educational level1100.14
Year of birth1200.14
P.S.I.A. True370.09
Father's educational level1080.09
P.S.I.A. Cold370.08
P.S.I.A. Cruel370.08
P.S.I.A. Ethics factor460.07
P.S.I.A. Orderly37-0.00
P.S.I.A. Just37-0.02
P.S.I.A. Neurotic37-0.05
Disorders (own)112-0.06
P.S.I.A. Rare37-0.08
P.S.I.A. Introverted37-0.09
P.S.I.A. Antisocial37-0.13
P.S.I.A. Deviance factor46-0.16
P.S.I.A. Extreme37-0.19
P.S.I.A. System factor23-0.22
P.S.I.A. Aspergoid37-0.26
Disorders (parents and siblings)111-0.29
Gifted Adult's Inventory of Aspergerisms23-0.32
Cooijmans Inventory of Neo-Marxist Attitudes5-0.92

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)
00.76 (1058)NaN (0)
9.20.62 (805)0.76 (162)
12.50.53 (500)0.74 (451)
15.80.64 (222)0.73 (723)
19.10.64 (10)0.73 (1014)
24NaN (0)0.76 (1058)

Reliability

Remark: The statistics for Reliability, Error, Scores by age, Scores by year taken, and Robustness are based on a subset of 46 candidates who took the test since late 2010. Before that, the test was part of the Test For Genius - Revision 2004, and its internal statistics were kept in a different way, combined with the verbal subtest and not separately.

Error

Scores by age

Age class n median score
60 to 64111.5
55 to 59311.0
50 to 5417.0
45 to 49613.5
40 to 44410.8
35 to 3947.5
30 to 34713.0
25 to 291012.5
22 to 24313.0
20 or 21112.0
18 or 19413.5
1719.0
16114.0

Scores by year taken

Year taken n median score
2010211.5
20111211.8
2012512.0
2013412.5
20141011.0
20151312.0

ryear taken × median score = 0.08 (n = 46)

Robustness and overall test quality

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are removed or revised, resulting in a revised version of the test.