Statistics of Spatial section of The Marathon Test

© August 2016 Paul Cooijmans

Norms

Scores on Spatial section of The Marathon Test

Contents type: Spatial.   Period: 2005-present

0 ***
1 **
3 **
4 *
5 **
5.5 *
6 **
6.4 *
7 **
8 ***
9 ***
10 ***
11 ***
12 *
14 *

Correlation of Spatial section of The Marathon Test with other tests by Paul Cooijmans

(Test index) Test name n r
(0) Test of the Beheaded Man70.97
(45) Numerical and spatial sections of The Marathon Test290.95
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude50.94
(36) Reflections In Peroxide50.94
(48) Narcissus' last stand50.93
(3) Qoymans Multiple-Choice #570.92
(7) The Final Test60.91
(19) Numerical section of Test For Genius - Revision 201090.89
(25) The Sargasso Test70.88
(40) Reason Behind Multiple-Choice - Revision 200870.88
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201080.87
(1) Cartoons of Shock80.85
(42) The Marathon Test230.85
(2) Cooijmans Intelligence Test - Form 3120.85
(23) Gliaweb Riddled Intelligence Test - Revision 201160.84
(43) Test For Genius - Revision 201060.83
(31) Numerical section of The Marathon Test300.83
(28) The Test To End All Tests70.82
(12) Cooijmans On-Line Test - Two-barrelled version50.77
(24) Reason - Revision 200880.73
(18) The Nemesis Test100.71
(16) Lieshout International Mesospheric Intelligence Test100.71
(27) Spatial section of Test For Genius - Revision 2004130.66
(44) Associative LIMIT70.61
(30) Verbal section of The Marathon Test230.60
(33) Problems In Gentle Slopes of the first degree50.60
(26) Verbal section of Test For Genius - Revision 2004120.59
(35) Intelligence Quantifier by assessment100.59
(87) Cooijmans Intelligence Test - Form 280.51
(5) Daedalus Test50.45
(11) Isis Test60.41
(10) Genius Association Test70.37
(29) Words60.34
(66) Test For Genius - Revision 20046-0.70

Weighted average of correlations: 0.734

Conservatively estimated minimum g loading: 0.86

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 Spatial section of The Marathon Test with tests by others

(Test index) Test name n r
(225) Logima Strictica 3660.56
(240) Strict Logic Spatial Exam 4850.45
(242) Unknown and miscellaneous tests120.31
(234) Strict Logic Sequences Exam I70.03

Weighted average of correlations: 0.318

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 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.

Typeg loading of Spatial section of The Marathon Test on that type
Verbal0.80
Numerical0.92
Spatial0.83
Logical0.79
Heterogeneous0.88

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

Balanced g loading = 0.84

National medians for Spatial section of The Marathon Test

Country n median score
United_Kingdom211.5
Finland39.0
India27.0
Korea_South26.0
Germany25.5
Canada24.5
United_States40.5

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
Observed associative horizon30.96
P.S.I.A. True70.76
P.S.I.A. Rational70.67
Candidate's self-estimated I.Q.60.38
P.S.I.A. Ethics factor100.36
P.S.I.A. Neurotic70.32
Educational level300.32
P.S.I.A. Cruel70.32
P.S.I.A. System factor70.19
P.S.I.A. Orderly70.18
P.S.I.A. Rare70.16
Sex300.12
P.S.I.A. Just70.10
Mother's educational level29-0.04
P.S.I.A. Cold7-0.04
P.S.I.A. Aspergoid7-0.09
P.S.I.A. Introverted7-0.11
Year of birth30-0.13
Father's educational level28-0.15
P.S.I.A. Deviance factor10-0.25
Disorders (parents and siblings)30-0.25
P.S.I.A. Antisocial7-0.30
P.S.I.A. Extreme7-0.36
Disorders (own)30-0.41
Gifted Adult's Inventory of Aspergerisms4-0.96

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 (384)NaN (0)
40.63 (239)0.82 (146)
70.44 (164)0.88 (216)
100.14 (49)0.87 (308)
13NaN (0)0.85 (370)
15NaN (0)0.83 (384)

No clear cause can be found yet for the lower upward g loading in the upper range. A future statistical report may provide clarity.

Note: The below statistics are based on only 18 scores because the first 12 scores were, on the item level, stored in a different manner.

Reliability

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

Error

Scores by age

Age class n median score
50 to 5423.2
45 to 4949.0
40 to 4447.5
35 to 3910.0
30 to 34110.0
25 to 2941.0
20 or 2119.0
18 or 1913.0

Scores by year taken

Year taken n median score
201015.0
201119.0
201245.0
201325.5
201446.5
201523.5
201646.7

ryear taken × median score = -0.20 (n = 18)

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. Currently, no bad items are detected in the test.