Statistics of combined Numerical and Spatial sections of The Marathon Test

© August 2016 Paul Cooijmans

Norms

(Spatial items are weighted by 3.)

Scores on Numerical and spatial sections of The Marathon Test

Contents type: Numerical, spatial.   Period: 2005-present

0 *
6 *
12 *
17 *
32 *
37 *
38 *
42.2 *
45 *
48.5 *
54 **
56.2 *
59 *
61 **
63 **
64 **
67 *
69 *
70 **
71 *
74 **
76 *
80 *
82 *

Correlation of Numerical and spatial sections of The Marathon Test with other tests by Paul Cooijmans

(Test index) Test name n r
(0) Test of the Beheaded Man60.97
(36) Reflections In Peroxide50.96
(31) Numerical section of The Marathon Test300.95
(32) Spatial section of The Marathon Test300.95
(48) Narcissus' last stand50.93
(7) The Final Test50.93
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude50.92
(42) The Marathon Test230.92
(2) Cooijmans Intelligence Test - Form 3120.89
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201070.89
(19) Numerical section of Test For Genius - Revision 201080.88
(40) Reason Behind Multiple-Choice - Revision 200880.87
(3) Qoymans Multiple-Choice #580.87
(12) Cooijmans On-Line Test - Two-barrelled version50.87
(25) The Sargasso Test60.84
(1) Cartoons of Shock70.84
(23) Gliaweb Riddled Intelligence Test - Revision 201170.83
(28) The Test To End All Tests70.83
(43) Test For Genius - Revision 201050.83
(27) Spatial section of Test For Genius - Revision 2004120.79
(87) Cooijmans Intelligence Test - Form 280.76
(16) Lieshout International Mesospheric Intelligence Test90.72
(35) Intelligence Quantifier by assessment90.71
(24) Reason - Revision 200890.71
(18) The Nemesis Test100.70
(26) Verbal section of Test For Genius - Revision 2004110.66
(30) Verbal section of The Marathon Test230.62
(44) Associative LIMIT60.60
(5) Daedalus Test50.58
(33) Problems In Gentle Slopes of the first degree50.56
(11) Isis Test60.55
(10) Genius Association Test60.32
(29) Words5-0.01
(66) Test For Genius - Revision 20046-0.67

Weighted average of correlations: 0.770

Conservatively estimated minimum g loading: 0.88

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 and spatial sections of The Marathon Test with tests by others

(Test index) Test name n r
(225) Logima Strictica 3660.57
(240) Strict Logic Spatial Exam 4850.48
(242) Unknown and miscellaneous tests120.18
(234) Strict Logic Sequences Exam I70.17

Weighted average of correlations: 0.307

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 and spatial sections 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 Numerical and spatial sections of The Marathon Test on that type
Verbal0.79
Numerical0.97
Spatial0.93
Logical0.81
Heterogeneous0.90

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

Balanced g loading = 0.88

National medians for Numerical and spatial sections of The Marathon Test

Country n median score
United_Kingdom271.5
Finland363.0
Korea_South257.5
India255.5
Canada239.5
Germany238.0
United_States429.6

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 Numerical and spatial sections of The Marathon Test

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

Correlation of Numerical and spatial sections of The Marathon Test with personal details

Personalia n r
Observed associative horizon31.00
Candidate's self-estimated I.Q.60.87
P.S.I.A. True70.85
P.S.I.A. Ethics factor100.58
P.S.I.A. Rational70.47
P.S.I.A. Neurotic70.45
P.S.I.A. Orderly70.35
Educational level300.32
P.S.I.A. System factor70.29
Sex300.17
Mother's educational level290.16
P.S.I.A. Cruel70.16
P.S.I.A. Rare70.06
P.S.I.A. Cold70.04
P.S.I.A. Just7-0.01
P.S.I.A. Aspergoid7-0.08
Year of birth30-0.08
P.S.I.A. Introverted7-0.10
Father's educational level28-0.16
P.S.I.A. Extreme7-0.29
P.S.I.A. Antisocial7-0.30
P.S.I.A. Deviance factor10-0.32
Disorders (parents and siblings)30-0.37
Disorders (own)30-0.48
Gifted Adult's Inventory of Aspergerisms4-0.99

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)
00.86 (353)NaN (0)
470.57 (182)0.82 (123)
610.59 (134)0.86 (178)
750.42 (6)0.86 (331)
89NaN (0)0.86 (353)

Reliability

Based on the reliabilities of the numerical and spatial subtests, using a form of the Spearman-Brown formula and assuming the subtests are of equal length, the reliability is computed to be .97.

Error

Robustness and overall test quality

Other statistics

The remaining statistics exist only on subtest level and can be found in the statistical reports of the respective subtests.