Statistics of Psychometric Qrosswords

© Paul Cooijmans

Scores on Psychometric Qrosswords as of 28 August 2019

Contents type: Verbal.   Period: 2001-present

1 *
5 *
56 *
57 *
60 *
63 **
66 *
67 ***
68 *
70 *
72 *
74 **
76 **
78 *

Correlation of Psychometric Qrosswords with other tests by Paul Cooijmans

(Test index) Test name n r
(8) Female Intelligence Test21.00
(15) Letters21.00
(41) The LAW - Letters And Words21.00
(46) Labyrinthine LIMIT21.00
(54) Test of Shock and Awe21.00
(56) Short Test For Genius21.00
(63) Long Test For Genius21.00
(69) Odds21.00
(85) Cooijmans Intelligence Test - Form 121.00
(87) Cooijmans Intelligence Test - Form 221.00
(110) Cooijmans Intelligence Test 521.00
(113) The Piper's Test21.00
(116) Gliaweb Riddled Intelligence Test (old version)21.00
(105) Space, Time, and Hyperspace - Revision 201631.00
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201031.00
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201631.00
(37) Problems In Gentle Slopes of the third degree31.00
(43) Test For Genius - Revision 201031.00
(109) The Bonsai Test - Revision 201641.00
(36) Reflections In Peroxide51.00
(104) The Final Test - Revision 201340.99
(107) The Alchemist Test30.99
(42) The Marathon Test60.98
(30) Verbal section of The Marathon Test60.98
(12) Cooijmans On-Line Test - Two-barrelled version70.98
(111) Test For Genius - Revision 201630.98
(48) Narcissus' last stand50.97
(114) Dicing with death30.97
(40) Reason Behind Multiple-Choice - Revision 200860.97
(1) Cartoons of Shock40.97
(0) Test of the Beheaded Man90.96
(2) Cooijmans Intelligence Test - Form 350.96
(31) Numerical section of The Marathon Test70.96
(23) Gliaweb Riddled Intelligence Test - Revision 201130.95
(24) Reason - Revision 200860.94
(45) Numerical and spatial sections of The Marathon Test70.94
(80) Qoymans Multiple-Choice #430.94
(33) Problems In Gentle Slopes of the first degree50.93
(106) Cooijmans Intelligence Test - Form 450.93
(75) Analogies of Long Test For Genius30.93
(44) Associative LIMIT60.92
(35) Intelligence Quantifier by assessment90.90
(32) Spatial section of The Marathon Test70.89
(16) Lieshout International Mesospheric Intelligence Test70.88
(19) Numerical section of Test For Genius - Revision 201050.87
(82) Reason30.87
(103) Problems In Gentle Slopes of the second degree40.86
(57) Space, Time, and Hyperspace30.85
(26) Verbal section of Test For Genius - Revision 200470.85
(47) Psychometrically Activated Grids Acerbate Neuroticism90.84
(3) Qoymans Multiple-Choice #560.84
(66) Test For Genius - Revision 200460.83
(25) The Sargasso Test70.81
(10) Genius Association Test70.78
(28) The Test To End All Tests90.77
(27) Spatial section of Test For Genius - Revision 200460.74
(18) The Nemesis Test70.74
(11) Isis Test50.72
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude70.69
(7) The Final Test80.69
(5) Daedalus Test90.68
(52) Qoymans Multiple-Choice #230.65
(72) Qoymans Automatic Test #130.57
(68) Numbers30.56
(108) Verbal section of Test For Genius - Revision 201630.55
(50) Qoymans Automatic Test #230.43
(77) Analogies #140.38
(79) Association subtest of Long Test For Genius30.20
(53) Qoymans Multiple-Choice #33-0.02
(29) Words4-0.31
(51) Qoymans Multiple-Choice #13-0.78
(84) Bonsai Test2-1.00
(86) Evens2-1.00

Weighted average of correlations: 0.801 (weighted sum: 258.85)

Conservatively estimated minimum g loading: 0.90

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

Correlation of Psychometric Qrosswords with tests by others

(Test index) Test name n r
(218) Raven's Advanced Progressive Matrices (I.Q.)21.00
(219) Graduate Record Examination21.00
(223) Strict Logic Sequences Exam II21.00
(229) Mega Test21.00
(234) Strict Logic Sequences Exam I30.95
(225) Logima Strictica 3630.94
(235) Nonverbal Cognitive Performance Examination40.64
(242) Unknown and miscellaneous tests9-0.07
(239) Titan Test3-0.40
(236) International High IQ Society Miscellaneous tests4-0.47
(231) Mysterium Entrance Exam5-0.88

Weighted average of correlations: 0.208 (weighted sum: 8.11)

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 2 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 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.

Typeg loading of Psychometric Qrosswords on that type

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

Balanced g loading = 0.87

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
Observed associative horizon50.73
P.S.I.A. Cruel60.62
Educational level160.55
Observed behaviour70.50
P.S.I.A. Rational60.43
P.S.I.A. System factor50.30
P.S.I.A. Cold60.12
Father's educational level150.09
Mother's educational level150.02
P.S.I.A. Antisocial6-0.03
Year of birth19-0.11
Gifted Adult's Inventory of Aspergerisms8-0.12
Disorders (own)15-0.38
P.S.I.A. Extreme6-0.38
P.S.I.A. Orderly6-0.42
Disorders (parents and siblings)15-0.42
P.S.I.A. True6-0.47
P.S.I.A. Ethics factor8-0.48
P.S.I.A. Aspergoid6-0.53
P.S.I.A. Introverted6-0.57
P.S.I.A. Neurotic6-0.59
P.S.I.A. Deviance factor8-0.61
P.S.I.A. Rare6-0.63
P.S.I.A. Just6-0.73

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)
00.90 (323)NaN (0)
600.66 (199)0.72 (68)
670.65 (159)0.89 (201)
720.71 (21)0.89 (273)
80NaN (0)0.90 (323)


This exceptionally high reliability reflects the fact that all of the items are performing well so far.


Scores by age

Age class n median score
60 to 64172.0
50 to 54236.0
45 to 49174.0
40 to 44475.0
35 to 39232.0
30 to 34367.0
25 to 29368.0
22 to 24258.0
20 or 21157.0

Scores by year taken

Year taken n median score

ryear taken × median score = -0.34 (n = 19)

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.