Statistics of The Marathon Test

© Paul Cooijmans

Scores on The Marathon Test as of 14 September 2019

Contents type: Verbal, numerical, spatial.   Period: 2005-present

0 *
21 **
24 *
40 *
43 *
52 *
56 *
64 *
65 *
65.4 *
66 *
67 *
73 *
74.5 *
78 *
79 *
80 **
87 *
89 *
90 *
91 *
92 *
95 *
97 *
100 *

Correlation of The Marathon Test with other tests by Paul Cooijmans

(Test index) Test name n r
(21) Psychometric Qrosswords60.98
(0) Test of the Beheaded Man100.98
(36) Reflections In Peroxide70.97
(87) Cooijmans Intelligence Test - Form 280.97
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201080.95
(43) Test For Genius - Revision 201080.95
(48) Narcissus' last stand70.95
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude70.94
(31) Numerical section of The Marathon Test270.93
(45) Numerical and spatial sections of The Marathon Test260.92
(23) Gliaweb Riddled Intelligence Test - Revision 201170.91
(111) Test For Genius - Revision 201650.91
(19) Numerical section of Test For Genius - Revision 2010110.90
(28) The Test To End All Tests90.90
(1) Cartoons of Shock80.89
(2) Cooijmans Intelligence Test - Form 3150.89
(30) Verbal section of The Marathon Test270.89
(12) Cooijmans On-Line Test - Two-barrelled version70.89
(40) Reason Behind Multiple-Choice - Revision 200880.88
(7) The Final Test70.88
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201650.87
(47) Psychometrically Activated Grids Acerbate Neuroticism50.87
(27) Spatial section of Test For Genius - Revision 2004120.87
(26) Verbal section of Test For Genius - Revision 2004130.87
(3) Qoymans Multiple-Choice #580.86
(106) Cooijmans Intelligence Test - Form 460.85
(16) Lieshout International Mesospheric Intelligence Test120.85
(32) Spatial section of The Marathon Test270.85
(35) Intelligence Quantifier by assessment110.80
(44) Associative LIMIT90.79
(105) Space, Time, and Hyperspace - Revision 201650.79
(66) Test For Genius - Revision 200470.75
(33) Problems In Gentle Slopes of the first degree60.75
(108) Verbal section of Test For Genius - Revision 201650.74
(25) The Sargasso Test100.73
(18) The Nemesis Test120.70
(109) The Bonsai Test - Revision 201650.68
(24) Reason - Revision 200880.66
(5) Daedalus Test70.66
(37) Problems In Gentle Slopes of the third degree60.65
(10) Genius Association Test90.62
(11) Isis Test70.56
(103) Problems In Gentle Slopes of the second degree50.55
(29) Words60.52

Weighted average of correlations: 0.844 (weighted sum: 357.76)

Conservatively estimated minimum g loading: 0.92

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 The Marathon Test with tests by others

(Test index) Test name n r
(234) Strict Logic Sequences Exam I70.79
(240) Strict Logic Spatial Exam 4850.63
(225) Logima Strictica 3650.13
(242) Unknown and miscellaneous tests12-0.07

Weighted average of correlations: 0.292 (weighted sum: 8.46)

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 The Marathon Test 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 The Marathon Test on that type
Verbal0.91
Numerical0.96
Spatial0.92
Logical0.81
Heterogeneous0.91

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

Balanced g loading = 0.90

Correlation with national I.Q.'s of The Marathon Test

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

Correlation of The Marathon Test with personal details

Personalia n r
Observed associative horizon30.99
Observed behaviour40.98
P.S.I.A. True70.72
P.S.I.A. Orderly70.65
Educational level270.48
P.S.I.A. Ethics factor90.47
P.S.I.A. Neurotic70.43
P.S.I.A. System factor60.29
P.S.I.A. Just70.15
P.S.I.A. Extreme70.09
Sex270.07
P.S.I.A. Cold70.01
P.S.I.A. Rare70.01
Mother's educational level26-0.01
P.S.I.A. Aspergoid7-0.03
P.S.I.A. Cruel7-0.04
P.S.I.A. Antisocial7-0.13
P.S.I.A. Rational7-0.15
Father's educational level26-0.19
P.S.I.A. Introverted7-0.23
Year of birth27-0.23
P.S.I.A. Deviance factor9-0.27
Disorders (parents and siblings)26-0.32
Disorders (own)26-0.64
Gifted Adult's Inventory of Aspergerisms4-0.79

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)
00.92 (424)NaN (0)
54.50.75 (192)0.92 (82)
730.70 (103)0.91 (146)
800.88 (40)0.90 (263)
900.81 (24)0.91 (374)
111NaN (0)0.92 (424)

Reliability

This reliability is computed from the three subtest reliabilities using a form of the Spearman-Brown formula. The sheer length of the test contributes to its very high reliability, which in turn enables the very high g loading.

Error

Robustness and overall test quality

Further internal statistics

Further internal statistics are reported on subtest level (Numerical, Spatial, and Verbal sections).