Statistics of Psychometric Qrosswords

© Paul Cooijmans

Scores on Psychometric Qrosswords as of 29 November 2022

Contents type: Verbal.   Period: 2001-present

1 *
5 *
17 *
51 *
54 *
56 *
57 *
60 *
63 **
66 *
67 ***
68 *
70 **
72 *
74 **
75 *
76 **
78 *
80 *

Correlation of Psychometric Qrosswords with other mental ability tests

(Test index) Test name n r
(109) The Bonsai Test - Revision 201690.99
(119) A Relaxing Test40.98
(1) Cartoons of Shock60.96
(37) Problems In Gentle Slopes of the third degree80.95
(225) Logima Strictica 36 (Robert Lato)40.95
(31) Numerical section of The Marathon Test110.94
(30) Verbal section of The Marathon Test90.94
(42) The Marathon Test90.93
(234) Strict Logic Sequences Exam I (Jonathan Wai)40.92
(57) Space, Time, and Hyperspace40.92
(33) Problems In Gentle Slopes of the first degree80.91
(48) Narcissus' last stand90.90
(82) Reason40.90
(118) Divine Psychometry50.89
(3) Qoymans Multiple-Choice #5130.87
(43) Test For Genius - Revision 201050.87
(45) Numerical and spatial sections of The Marathon Test110.86
(106) Cooijmans Intelligence Test - Form 4100.86
(104) The Final Test - Revision 201360.85
(44) Associative LIMIT100.85
(107) The Alchemist Test70.84
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201670.83
(40) Reason Behind Multiple-Choice - Revision 2008130.83
(111) Test For Genius - Revision 201670.82
(47) Psychometrically Activated Grids Acerbate Neuroticism140.82
(66) Test For Genius - Revision 200470.82
(36) Reflections In Peroxide90.81
(113) The Piper's Test70.81
(105) Space, Time, and Hyperspace - Revision 201670.81
(0) Test of the Beheaded Man130.81
(23) Gliaweb Riddled Intelligence Test - Revision 201180.80
(2) Cooijmans Intelligence Test - Form 390.80
(25) The Sargasso Test120.80
(26) Verbal section of Test For Genius - Revision 200490.80
(28) The Test To End All Tests140.78
(10) Genius Association Test110.76
(103) Problems In Gentle Slopes of the second degree80.76
(32) Spatial section of The Marathon Test110.75
(16) Lieshout International Mesospheric Intelligence Test110.73
(12) Cooijmans On-Line Test - Two-barrelled version100.71
(68) Numbers40.71
(108) Verbal section of Test For Genius - Revision 201670.71
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201050.69
(117) The Hammer Of Test-Hungry - Revision 201360.69
(7) The Final Test80.69
(19) Numerical section of Test For Genius - Revision 2010100.68
(18) The Nemesis Test100.65
(235) Non-Verbal Cognitive Performance Examination (Xavier Jouve)40.64
(27) Spatial section of Test For Genius - Revision 200480.64
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude110.63
(114) Dicing with death70.62
(24) Reason - Revision 2008130.62
(35) Only idiots50.60
(5) Daedalus Test140.57
(110) Cooijmans Intelligence Test 570.44
(11) Isis Test100.41
(77) Analogies #140.38
(29) Words50.17
(242) Unknown and miscellaneous tests11-0.04
(236) International High IQ Society tests (aggregate)5-0.54
(231) Tests by Greg Grove (aggregate)5-0.88

Weighted average of correlations: 0.723 (N = 502, weighted sum = 363.02)

Conservatively estimated minimum g loading: 0.85

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 Psychometric Qrosswords 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 Psychometric Qrosswords on that type

N = 374

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

Balanced g loading = 0.86

National medians for Psychometric Qrosswords

Country n median score

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 Psychometric Qrosswords

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

Correlation of Psychometric Qrosswords with personal details

Personalia n r
P.S.I.A. Orderly - Revision 200760.97
P.S.I.A. True - Revision 200760.86
Observed associative horizon50.73
Educational level220.49
Observed behaviour60.45
P.S.I.A. System factor - Revision 200760.41
Gifted Adult's Inventory of Aspergerisms110.41
P.S.I.A. Ethics factor - Revision 200760.32
P.S.I.A. Rational - Revision 200760.30
P.S.I.A. Introverted - Revision 200760.28
P.S.I.A. Cruel - Revision 200760.24
Cooijmans Inventory of Neo-Marxist Attitudes60.12
Father's educational level210.09
P.S.I.A. Extreme - Revision 200760.07
P.S.I.A. Cold - Revision 200760.07
P.S.I.A. Deviance factor - Revision 200760.05
Mother's educational level210.03
P.S.I.A. Neurotic - Revision 200760.02
P.S.I.A. Just - Revision 20076-0.02
Disorders (parents and siblings)21-0.10
Year of birth25-0.13
P.S.I.A. Rare - Revision 20076-0.14
P.S.I.A. Aspergoid - Revision 20076-0.16
P.S.I.A. Antisocial - Revision 20076-0.26
Disorders (own)22-0.33

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)
00.85 (502)NaN (0)
500.66 (405)NaN (0)
59-0.05 (302)0.80 (47)
670.07 (274)0.83 (221)
70-0.54 (113)0.86 (351)
80NaN (0)0.85 (502)

Remark: The upward g loading from somewhere in the 50s on is low. This seems to be caused by a small number of candidates with (for them) atypical scores on this test and many scores on other tests. As more people take the test, this may either improve, or may turn out to be a real problem.


Notice that the very high reliability of this test may be partly due to its being arranged in crosswords, which causes groups of items to be interdependent to some extent.


Scores by age

Age class n median score
60 to 64172.0
50 to 54236.0
45 to 49174.0
40 to 44574.0
35 to 39354.0
30 to 34367.0
25 to 29467.0
22 to 24560.0
20 or 21157.0

N = 25

Scores by year taken

Year taken n median score

ryear taken × median score = -0.18 (N = 25)

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. So far, no bad items have been identified in this test.

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