Statistics of Spatial section of The Marathon Test

© Paul Cooijmans

Scores on Spatial section of The Marathon Test as of 30 November 2020

Contents type: Spatial.   Period: 2005-present

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

Correlation of Spatial section of The Marathon Test with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(45) Numerical and spatial sections of The Marathon Test480.96
(107) The Alchemist Test70.95
(0) Test of the Beheaded Man160.95
(111) Test For Genius - Revision 201690.92
(43) Test For Genius - Revision 201090.88
(108) Verbal section of Test For Genius - Revision 201690.88
(48) Narcissus' last stand90.87
(7) The Final Test80.87
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude90.85
(114) Dicing with death50.85
(42) The Marathon Test310.85
(1) Cartoons of Shock90.85
(31) Numerical section of The Marathon Test490.82
(110) Cooijmans Intelligence Test 590.81
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 2016120.79
(21) Psychometric Qrosswords90.79
(36) Reflections In Peroxide120.78
(105) Space, Time, and Hyperspace - Revision 2016120.76
(23) Gliaweb Riddled Intelligence Test - Revision 2011150.75
(28) The Test To End All Tests120.75
(18) The Nemesis Test130.73
(16) Lieshout International Mesospheric Intelligence Test170.73
(109) The Bonsai Test - Revision 2016110.70
(12) Cooijmans On-Line Test - Two-barrelled version100.69
(33) Problems In Gentle Slopes of the first degree80.68
(40) Reason Behind Multiple-Choice - Revision 2008130.68
(103) Problems In Gentle Slopes of the second degree140.68
(44) Associative LIMIT120.67
(3) Qoymans Multiple-Choice #5130.67
(47) Psychometrically Activated Grids Acerbate Neuroticism80.66
(37) Problems In Gentle Slopes of the third degree80.66
(2) Cooijmans Intelligence Test - Form 3250.65
(106) Cooijmans Intelligence Test - Form 4140.64
(30) Verbal section of The Marathon Test310.64
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010130.63
(87) Cooijmans Intelligence Test - Form 290.63
(35) Intelligence Quantifier by assessment140.63
(25) The Sargasso Test150.61
(19) Numerical section of Test For Genius - Revision 2010200.61
(27) Spatial section of Test For Genius - Revision 2004180.60
(10) Genius Association Test120.53
(66) Test For Genius - Revision 200480.52
(26) Verbal section of Test For Genius - Revision 2004150.52
(117) The Hammer Of Test-Hungry - Revision 201360.48
(24) Reason - Revision 2008140.48
(15) Letters40.40
(5) Daedalus Test120.40
(11) Isis Test120.35
(29) Words60.34
(41) The LAW - Letters And Words40.33
(80) Qoymans Multiple-Choice #450.31
(104) The Final Test - Revision 201370.12
(46) Labyrinthine LIMIT6-0.03
(62) Reason Behind Multiple-Choice4-0.06
(82) Reason4-0.55

Weighted average of correlations: 0.687 (N = 704, weighted sum = 483.68)

Conservatively estimated minimum g loading: 0.83

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.

Correlation of Spatial section of The Marathon Test with tests by others

(Test index) Test name n r
(211) Culture Fair Numerical Spatial Examination - Final version50.84
(225) Logima Strictica 3670.52
(231) Mysterium Entrance Exam40.50
(240) Strict Logic Spatial Exam 4880.38
(242) Unknown and miscellaneous tests180.35
(234) Strict Logic Sequences Exam I90.19
(223) Strict Logic Sequences Exam II4-0.74
(201) Wechsler Adult Intelligence Scales4-0.86

Weighted average of correlations: 0.245 (N = 59, weighted sum = 14.48)

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.

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 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
Verbal1350.77
Numerical690.87
Spatial470.83
Logical300.56
Heterogeneous2210.84

N = 502

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

Balanced g loading = 0.77

National medians for Spatial section of The Marathon Test

Country n median score
United_Kingdom211.5
China211.2
Spain311.0
Belgium27.5
Finland47.0
India27.0
Germany36.0
Canada24.5
Korea_South33.0
United_States112.0

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 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
Cooijmans Inventory of Neo-Marxist Attitudes40.82
P.S.I.A. True - Revision 200780.75
P.S.I.A. Ethics factor - Revision 200780.67
P.S.I.A. Orderly - Revision 200780.57
Observed behaviour90.41
Educational level490.40
P.S.I.A. Introverted - Revision 200780.34
P.S.I.A. Neurotic - Revision 200780.33
P.S.I.A. Cold - Revision 200780.29
P.S.I.A. Rational - Revision 200780.26
P.S.I.A. System factor - Revision 200780.18
Sex490.03
P.S.I.A. Antisocial - Revision 20078-0.05
Mother's educational level47-0.10
Father's educational level46-0.13
Year of birth49-0.14
P.S.I.A. Cruel - Revision 20078-0.17
P.S.I.A. Rare - Revision 20078-0.18
P.S.I.A. Deviance factor - Revision 20078-0.19
P.S.I.A. Aspergoid - Revision 20078-0.21
Disorders (parents and siblings)48-0.23
Disorders (own)48-0.27
P.S.I.A. Extreme - Revision 20078-0.30
P.S.I.A. Just - Revision 20078-0.35
Gifted Adult's Inventory of Aspergerisms6-0.50

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)
00.83 (704)NaN (0)
10.74 (549)0.69 (165)
20.67 (473)0.70 (171)
3.50.57 (398)0.75 (251)
50.50 (372)0.78 (340)
70.49 (251)0.83 (407)
90.73 (83)0.82 (585)
10.50.73 (38)0.83 (595)
120.63 (14)0.84 (661)
15NaN (0)0.83 (704)

Note: The below statistics are based on only 37 scores because the first 11 scores were, on the item level, stored in a different manner.

Reliability

These values are very high for a subtest of only 15 items, reflecting the fact that all 15 items do well in item analysis.

Error

Scores by age

Age class n median score
65 to 6924.0
55 to 59115.0
50 to 5436.4
45 to 4957.0
40 to 44510.0
35 to 3930.0
30 to 3435.0
25 to 2971.0
22 to 2428.5
20 or 2137.4
18 or 1922.5
1713.0

N = 37

Scores by year taken

Year taken n median score
201015.0
201119.0
201245.0
201326.0
201446.5
201523.5
201687.5
201724.0
201837.4
201964.0
2020410.5

ryear taken × median score = 0.16 (N = 37)

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.