Statistics of Cooijmans Intelligence Test 5

© Paul Cooijmans

Scores on Cooijmans Intelligence Test 5 as of 21 December 2020

Contents type: Verbal, numerical, spatial.   Period: 2016-present

1 ****
2 *****
3 ***
4 ******
5 *
6 ***
7 ***
8 ****
9 ***
12 **
15 *
16 *
23 **
24 *
27 *
28 *

Correlation of Cooijmans Intelligence Test 5 with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(66) Test For Genius - Revision 200440.95
(114) Dicing with death50.95
(1) Cartoons of Shock50.90
(0) Test of the Beheaded Man90.90
(26) Verbal section of Test For Genius - Revision 200490.88
(113) The Piper's Test70.87
(43) Test For Genius - Revision 201060.85
(33) Problems In Gentle Slopes of the first degree50.82
(32) Spatial section of The Marathon Test90.81
(28) The Test To End All Tests100.81
(48) Narcissus' last stand80.80
(35) Intelligence Quantifier by assessment110.80
(3) Qoymans Multiple-Choice #5160.78
(111) Test For Genius - Revision 2016160.77
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201080.75
(30) Verbal section of The Marathon Test80.71
(106) Cooijmans Intelligence Test - Form 4230.71
(46) Labyrinthine LIMIT40.71
(108) Verbal section of Test For Genius - Revision 2016160.70
(19) Numerical section of Test For Genius - Revision 2010220.70
(42) The Marathon Test70.69
(10) Genius Association Test150.68
(44) Associative LIMIT140.67
(45) Numerical and spatial sections of The Marathon Test80.65
(40) Reason Behind Multiple-Choice - Revision 2008160.65
(27) Spatial section of Test For Genius - Revision 2004100.64
(36) Reflections In Peroxide100.64
(11) Isis Test130.57
(109) The Bonsai Test - Revision 2016130.56
(23) Gliaweb Riddled Intelligence Test - Revision 2011160.55
(16) Lieshout International Mesospheric Intelligence Test160.55
(37) Problems In Gentle Slopes of the third degree110.55
(107) The Alchemist Test50.54
(2) Cooijmans Intelligence Test - Form 3260.53
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 2016190.51
(104) The Final Test - Revision 201340.49
(25) The Sargasso Test110.46
(31) Numerical section of The Marathon Test90.44
(5) Daedalus Test60.42
(103) Problems In Gentle Slopes of the second degree100.38
(24) Reason - Revision 2008160.35
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude120.34
(105) Space, Time, and Hyperspace - Revision 2016200.34
(12) Cooijmans On-Line Test - Two-barrelled version70.18
(18) The Nemesis Test10-0.23

Weighted average of correlations: 0.607 (N = 505, weighted sum = 306.76)

Conservatively estimated minimum g loading: 0.78

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 Cooijmans Intelligence Test 5 with tests by others

(Test index) Test name n r
(201) Wechsler Adult Intelligence Scales40.56
(242) Unknown and miscellaneous tests150.44

Weighted average of correlations: 0.465 (N = 19, weighted sum = 8.83)

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.

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 Cooijmans Intelligence Test 5 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 Cooijmans Intelligence Test 5 on that type
Verbal780.86
Numerical310.79
Spatial550.73
Logical220.61
Heterogeneous1980.74

N = 384

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

Balanced g loading = 0.74

National medians for Cooijmans Intelligence Test 5

Country n median score
Spain213.5
United_Kingdom26.5
United_States136.0
Greece25.5
China35.0
Australia24.5
Korea_South43.0

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 Cooijmans Intelligence Test 5

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

Correlation of Cooijmans Intelligence Test 5 with personal details

Personalia n r
Observed behaviour100.61
P.S.I.A. Rational - Revision 2007100.43
P.S.I.A. Introverted - Revision 2007100.27
P.S.I.A. Cold - Revision 2007100.26
Educational level380.24
P.S.I.A. Ethics factor - Revision 2007100.23
P.S.I.A. Deviance factor - Revision 2007100.23
P.S.I.A. Aspergoid - Revision 2007100.22
P.S.I.A. Extreme - Revision 2007100.21
P.S.I.A. System factor - Revision 2007100.19
P.S.I.A. True - Revision 2007100.09
P.S.I.A. Just - Revision 2007100.06
P.S.I.A. Orderly - Revision 2007100.03
Father's educational level360.01
P.S.I.A. Rare - Revision 200710-0.03
P.S.I.A. Antisocial - Revision 200710-0.07
P.S.I.A. Neurotic - Revision 200710-0.07
Mother's educational level36-0.07
Disorders (own)37-0.16
Year of birth41-0.17
Disorders (parents and siblings)37-0.20
Cooijmans Inventory of Neo-Marxist Attitudes6-0.20
P.S.I.A. Cruel - Revision 200710-0.29
Gifted Adult's Inventory of Aspergerisms10-0.44

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)
00.78 (505)NaN (0)
30.75 (380)0.43 (93)
60.71 (239)0.71 (279)
90.84 (66)0.64 (423)
120.60 (15)0.69 (441)
40NaN (0)0.78 (505)

Reliability

Error

Scores by age

Age class n median score
70 to 7413.0
65 to 6914.0
60 to 6449.5
55 to 59217.5
50 to 5416.0
45 to 4938.0
40 to 44323.0
35 to 3943.0
30 to 3479.0
25 to 2964.0
22 to 2435.0
20 or 2147.0
18 or 1918.0
1712.0

N = 41

Scores by year taken

Year taken n median score
201654.0
201753.0
201857.0
201963.0
2020209.0

ryear taken × median score = 0.59 (N = 41)

Remark: This rise of scores into 2020 may have been caused by people submitting answers with the Prize of the Behead Man in mind, which ended on 21 December of that year. In that case, it need not point to a lack of robustness of the test, and the below computation of Robustness is then too low. If so, this will set itself straight in later years.

Robustness and overall test quality

Correlations of sections with total score

Verbal0.92
Numerical0.94
Spatial0.91

Correlations between sections

Verbal × Numerical0.78
Verbal × Spatial0.75
Numerical × Spatial0.83

Section histograms

Prop. = proportion of candidates outscored in this section.

Verbal

ScoreProp.# scores (* = 1 score)
00.061 (0.122) *****
20.220 (0.317) ********
30.451 (0.585) ***********
40.646 (0.707) *****
50.768 (0.829) *****
60.854 (0.878) **
90.902 (0.927) **
120.963 (1.000) ***

Numerical

ScoreProp.# scores (* = 1 score)
00.207 (0.415) *****************
10.524 (0.634) *********
20.695 (0.756) *****
30.780 (0.805) **
40.817 (0.829) *
50.841 (0.854) *
60.866 (0.878) *
70.890 (0.902) *
80.915 (0.927) *
90.951 (0.976) **
100.988 (1.000) *

Spatial

ScoreProp.# scores (* = 1 score)
00.110 (0.220) *********
10.341 (0.463) **********
20.549 (0.634) *******
30.744 (0.854) *********
40.866 (0.878) *
50.902 (0.927) **
60.939 (0.951) *
80.976 (1.000) **

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.