Statistics of Numerical section of Test For Genius - Revision 2010

Integrity Must Prevail Above Loathsome Evil

© February 2017 Paul Cooijmans

Norms

Scores on Numerical section of Test For Genius - Revision 2010

Contents type: Numerical.   Period: 2010-present

0 ****
1 ****
2 ***********
3 ************
3.5 **
4 ***************
5 *****
6 ***
6.5 *
7 **
8 *

Correlation of Numerical section of Test For Genius - Revision 2010 with other tests by Paul Cooijmans

(Test index) Test name n r
(42) The Marathon Test80.93
(30) Verbal section of The Marathon Test90.87
(0) Test of the Beheaded Man80.86
(107) The Alchemist Test50.85
(33) Problems In Gentle Slopes of the first degree60.83
(18) The Nemesis Test90.82
(31) Numerical section of The Marathon Test120.78
(36) Reflections In Peroxide80.77
(66) Test For Genius - Revision 200450.75
(45) Numerical and spatial sections of The Marathon Test110.74
(2) Cooijmans Intelligence Test - Form 3240.72
(105) Space, Time, and Hyperspace - Revision 2016100.71
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010500.71
(48) Narcissus' last stand70.70
(32) Spatial section of The Marathon Test120.68
(108) Verbal section of Test For Genius - Revision 201670.63
(109) The Bonsai Test - Revision 201650.62
(43) Test For Genius - Revision 2010350.62
(28) The Test To End All Tests90.59
(35) Intelligence Quantifier by assessment150.59
(16) Lieshout International Mesospheric Intelligence Test210.57
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude80.56
(1) Cartoons of Shock150.56
(104) The Final Test - Revision 201370.56
(68) Numbers50.53
(103) Problems In Gentle Slopes of the second degree100.50
(23) Gliaweb Riddled Intelligence Test - Revision 2011160.50
(27) Spatial section of Test For Genius - Revision 2004510.46
(41) The LAW - Letters And Words60.45
(15) Letters70.45
(26) Verbal section of Test For Genius - Revision 2004380.44
(106) Cooijmans Intelligence Test - Form 4150.42
(44) Associative LIMIT160.41
(7) The Final Test70.38
(40) Reason Behind Multiple-Choice - Revision 2008200.37
(3) Qoymans Multiple-Choice #5200.35
(29) Words70.30
(12) Cooijmans On-Line Test - Two-barrelled version100.27
(24) Reason - Revision 2008200.24
(25) The Sargasso Test100.16
(11) Isis Test120.05
(10) Genius Association Test180.04
(46) Labyrinthine LIMIT60.02
(5) Daedalus Test7-0.11

Weighted average of correlations: 0.518

Conservatively estimated minimum g loading: 0.72

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 Numerical section of Test For Genius - Revision 2010 with tests by others

(Test index) Test name n r
(211) Culture Fair Numerical Spatial Examination - Final version50.44
(242) Unknown and miscellaneous tests220.35
(240) Strict Logic Spatial Exam 4850.28
(225) Logima Strictica 3650.21
(234) Strict Logic Sequences Exam I90.04
(246) Sequentia Numerica Form I50.03
(223) Strict Logic Sequences Exam II5-0.11

Weighted average of correlations: 0.220

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 Numerical section 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 Numerical section of Test For Genius - Revision 2010 on that type
Verbal0.67
Numerical0.87
Spatial0.74
Logical0.45
Heterogeneous0.71

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

Balanced g loading = 0.69

National medians for Numerical section of Test For Genius - Revision 2010

Country n median score
India26.0
United_Kingdom25.3
France25.0
Greece25.0
Netherlands34.0
Spain34.0
Japan23.5
Korea_South23.5
Portugal23.5
Germany53.0
Italy23.0
United_States143.0
China22.5
Austria32.0

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 of Numerical section of Test For Genius - Revision 2010 with personal details

Personalia n r
Cooijmans Inventory of Neo-Marxist Attitudes30.86
Observed behaviour80.68
P.S.I.A. Extreme80.50
Educational level540.22
P.S.I.A. Orderly80.21
Sex600.13
P.S.I.A. Rational80.12
Mother's educational level530.09
Father's educational level510.04
Disorders (parents and siblings)540.03
P.S.I.A. True8-0.02
Candidate's self-estimated I.Q.24-0.07
P.S.I.A. Deviance factor14-0.11
P.S.I.A. Ethics factor14-0.14
P.S.I.A. Rare8-0.19
Year of birth59-0.23
Disorders (own)55-0.25
P.S.I.A. Neurotic8-0.38
P.S.I.A. Just8-0.45
P.S.I.A. Cruel8-0.47
P.S.I.A. Introverted8-0.49
P.S.I.A. Antisocial8-0.51
P.S.I.A. Aspergoid8-0.57
P.S.I.A. System factor14-0.66
Gifted Adult's Inventory of Aspergerisms8-0.70
P.S.I.A. Cold8-0.78

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)
00.72 (607)NaN (0)
20.59 (470)0.68 (143)
30.57 (351)0.71 (299)
40.64 (177)0.64 (449)
50.69 (37)0.69 (521)
15NaN (0)0.72 (607)

Reliability

The relatively low reliability results from the brevity of the test, which is used as a subtest of a larger test. Item analysis shows that the items of this test are performing well. No bad items have been found so far, but several are of extreme difficulty.

Error

Scores by age

Age class n median score
60 to 6412.0
55 to 5944.5
50 to 5431.0
45 to 4964.0
40 to 4464.0
35 to 3953.5
30 to 3473.0
25 to 29123.0
22 to 2445.3
20 or 2132.0
18 or 1962.0
1713.0
1612.0

Scores by year taken

Year taken n median score
2011113.0
201243.5
201343.0
2014114.0
2015173.0
2016103.0
201734.0

ryear taken × median score = 0.32 (n = 60)

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.