Statistics of Spatial section of The Marathon Test

© Paul Cooijmans

Scores on Spatial section of The Marathon Test as of 18 February 2023

Contents type: Spatial.   Period: 2005-present

0 *******
1 **
1.6 *
2 *
3 ****
3.4 *
3.5 *
4 **
4.3 *
5 ***
5.5 *
6 ******
6.4 *
7 ***
7.4 *
8 ****
8.4 **
9 *****
10 ***
10.3 *
11 *****
12 **
13 *
14 **
14.3 *
15 ***

Correlation of Spatial section of The Marathon Test with other mental ability tests

Test name n r
Epiq Tests (aggregate)40.99
Tests by Nikolaos Soulios (aggregate)40.96
Numerical and spatial sections of The Marathon Test630.94
Test of the Beheaded Man210.93
The Alchemist Test140.92
Test For Genius - Revision 2016160.92
Narcissus' last stand150.90
Dicing with death100.89
Test For Genius - Revision 201090.88
The Piper's Test110.86
The Final Test80.85
Culture Fair Numerical Spatial Examination - Final version (Etienne Forsström)60.85
Cartoons of Shock110.85
Verbal section of Test For Genius - Revision 2016160.84
The Test To End All Tests180.84
The Marathon Test380.83
De Laatste Test - Herziening 201950.82
A Relaxing Test60.82
De Golfstroomtest - Herziening 201950.82
Qoymans Multiple-Choice #5240.82
Only idiots80.81
Divine Psychometry80.81
Reflections In Peroxide230.81
Logima Strictica 24 (Robert Lato)50.79
Gliaweb Riddled Intelligence Test - Revision 2011250.79
Non-Verbal Cognitive Performance Examination (Xavier Jouve)40.79
Cooijmans Intelligence Test 5210.79
Problems In Gentle Slopes of the second degree220.78
International High IQ Society tests (aggregate)40.78
Lieshout International Mesospheric Intelligence Test300.77
Numerical section of The Marathon Test640.77
Psychometric Qrosswords120.76
Cooijmans On-Line Test - Two-barrelled version120.76
Combined Numerical and Spatial sections of Test For Genius - Revision 2016220.75
The Bonsai Test - Revision 2016210.74
916 Test (Laurent Dubois)40.74
Associative LIMIT230.73
Reason Behind Multiple-Choice - Revision 2008240.73
The Nemesis Test190.72
Cooijmans Intelligence Test - Form 4220.72
Logima Strictica 36 (Robert Lato)100.71
Tests by Greg Grove (aggregate)60.70
Space, Time, and Hyperspace - Revision 2016220.69
Tests by Mislav Predavec (aggregate)50.69
Combined Numerical and Spatial sections of Test For Genius - Revision 2010160.69
Problems In Gentle Slopes of the first degree120.69
A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude180.69
Spatial section of Test For Genius - Revision 2004230.67
Verbal section of The Marathon Test380.67
Cooijmans Intelligence Test - Form 3360.66
Problems In Gentle Slopes of the third degree180.65
Test For Genius - Revision 2004100.65
The Sargasso Test230.64
Numerical section of Test For Genius - Revision 2010320.63
Psychometrically Activated Grids Acerbate Neuroticism100.63
Unknown and miscellaneous tests160.60
Genius Association Test220.59
Cooijmans Intelligence Test - Form 2100.58
Qoymans Multiple-Choice #460.57
Verbal section of Test For Genius - Revision 2004170.55
Isis Test160.54
Reason - Revision 2008240.50
The Hammer Of Test-Hungry - Revision 201360.48
Letters50.47
The LAW - Letters And Words50.44
Labyrinthine LIMIT110.43
Words70.43
Daedalus Test180.43
Wechsler Adult Intelligence Scales60.36
Tests by Jason Betts (aggregate)40.29
Strict Logic Spatial Exam 48 (Jonathan Wai)90.29
Strict Logic Sequences Exam I (Jonathan Wai)100.18
Cattell Culture Fair40.17
The Final Test - Revision 201370.12
Reason Behind Multiple-Choice4-0.01
Reason4-0.48
Strict Logic Sequences Exam II (Jonathan Wai)4-0.74
Tests by Ivan Ivec (aggregate)4-0.77

Weighted average of correlations: 0.702 (N = 1175)

Estimated g factor loading: 0.84

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

Estimated loadings of Spatial section 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.

Typeng loading of Spatial section of The Marathon Test on that type
Verbal1850.82
Numerical1060.82
Spatial890.82
Logical460.62
Heterogeneous4050.87

N = 831

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

Balanced g loading = 0.79

National medians for Spatial section of The Marathon Test

Country n median score
Spain411.0
Germany48.5
Finland47.0
Korea_South43.6
United_States153.4
Canada31.6

For reasons of privacy, only countries with 3 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 The Marathon Test

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

Correlation of Spatial section of The Marathon Test with personal details

Personalia n r
PSIA True - Revision 2007140.59
PSIA Orderly - Revision 2007140.59
PSIA Ethics factor - Revision 2007140.51
PSIA Rational - Revision 2007140.51
Observed behaviour100.47
Educational level630.44
PSIA Neurotic - Revision 2007140.40
PSIA Introverted - Revision 2007140.38
PSIA System factor - Revision 2007140.34
Cooijmans Inventory of Neo-Marxist Attitudes80.23
PSIA Aspergoid - Revision 2007140.23
PSIA Cold - Revision 2007140.21
PSIA Deviance factor - Revision 2007140.21
PSIA Extreme - Revision 2007140.18
PSIA Just - Revision 2007140.04
Sex640.03
Year of birth64-0.13
PSIA Rare - Revision 200714-0.13
Mother's educational level61-0.15
Disorders (own)63-0.16
Father's educational level59-0.17
PSIA Cruel - Revision 200714-0.18
PSIA Antisocial - Revision 200714-0.22
Disorders (parents and siblings)62-0.24
Gifted Adult's Inventory of Aspergerisms12-0.25

Estimated g factor loadings for restricted ranges

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 these values to be lower than the test's full-range g loading.

Below 1st quartile0.74 (326)
Below median0.80 (641)
Above median0.62 (529)
Above 3rd quartile0.47 (219)

Reliability

Error

Scores by age

Age class n Median score
70 to 7416.0
65 to 6924.0
55 to 59310.3
50 to 5456.4
45 to 4988.5
40 to 44109.2
35 to 3987.3
30 to 3446.0
25 to 29104.8
22 to 2458.0
20 or 2137.4
18 or 1943.6
1713.0

N = 64

Scores by year taken

Year taken n median score
2005115.0
200659.0
2008111.0
200926.5
201047.5
201119.0
201245.0
201326.0
201446.5
201523.5
201687.0
201724.0
201837.4
201964.0
2020410.5
202165.0
202268.4
2023311.0

ryear taken × median score = -0.31 (N = 64)

Robustness and overall test quality

Item analysis

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