The Nemesis Test - Statistics

© Paul Cooijmans

Scores on The Nemesis Test as of 9 January 2020

Contents type: Verbal, numerical, spatial, logical.   Period: 1997-present

0 *************
1 *********
2 *********
3 ******
4 **
4.5 *
6 **
7 *
9 *
10.5 *
12 *
14 *
16 **

Correlation of The Nemesis Test with other tests by Paul Cooijmans

(Test index) Test name n r
(113) The Piper's Test40.99
(85) Cooijmans Intelligence Test - Form 140.93
(111) Test For Genius - Revision 201680.93
(56) Short Test For Genius50.89
(109) The Bonsai Test - Revision 201670.87
(35) Intelligence Quantifier by assessment210.87
(79) Association subtest of Long Test For Genius60.86
(63) Long Test For Genius60.86
(69) Odds40.86
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201670.84
(103) Problems In Gentle Slopes of the second degree90.84
(57) Space, Time, and Hyperspace80.84
(46) Labyrinthine LIMIT40.83
(106) Cooijmans Intelligence Test - Form 4120.80
(108) Verbal section of Test For Genius - Revision 201680.80
(0) Test of the Beheaded Man140.80
(19) Numerical section of Test For Genius - Revision 2010160.79
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude150.79
(3) Qoymans Multiple-Choice #5150.78
(117) The Hammer Of Test-Hungry - Revision 201370.78
(77) Analogies #150.77
(105) Space, Time, and Hyperspace - Revision 201680.76
(87) Cooijmans Intelligence Test - Form 290.76
(107) The Alchemist Test50.76
(26) Verbal section of Test For Genius - Revision 2004170.76
(104) The Final Test - Revision 201370.75
(21) Psychometric Qrosswords70.74
(48) Narcissus' last stand100.74
(66) Test For Genius - Revision 2004110.73
(54) Test of Shock and Awe60.73
(32) Spatial section of The Marathon Test130.73
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010110.73
(45) Numerical and spatial sections of The Marathon Test130.71
(43) Test For Genius - Revision 201090.71
(42) The Marathon Test120.70
(36) Reflections In Peroxide110.70
(75) Analogies of Long Test For Genius60.69
(11) Isis Test230.68
(7) The Final Test160.68
(33) Problems In Gentle Slopes of the first degree60.67
(110) Cooijmans Intelligence Test 570.66
(31) Numerical section of The Marathon Test130.66
(68) Numbers70.66
(1) Cartoons of Shock120.65
(28) The Test To End All Tests200.65
(40) Reason Behind Multiple-Choice - Revision 2008140.65
(10) Genius Association Test130.64
(23) Gliaweb Riddled Intelligence Test - Revision 201180.64
(27) Spatial section of Test For Genius - Revision 2004170.63
(25) The Sargasso Test160.63
(30) Verbal section of The Marathon Test120.62
(47) Psychometrically Activated Grids Acerbate Neuroticism50.62
(16) Lieshout International Mesospheric Intelligence Test160.61
(82) Reason60.61
(2) Cooijmans Intelligence Test - Form 3160.60
(44) Associative LIMIT120.60
(12) Cooijmans On-Line Test - Two-barrelled version90.58
(80) Qoymans Multiple-Choice #4100.48
(5) Daedalus Test80.47
(15) Letters50.47
(41) The LAW - Letters And Words50.41
(24) Reason - Revision 2008140.36
(84) Bonsai Test40.33
(37) Problems In Gentle Slopes of the third degree60.32
(62) Reason Behind Multiple-Choice60.32
(29) Words6-0.27

Weighted average of correlations: 0.686 (N = 652, weighted sum = 447.10)

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 The Nemesis Test with tests by others

(Test index) Test name n r
(239) Titan Test40.99
(240) Strict Logic Spatial Exam 4850.70
(201) Wechsler Adult Intelligence Scales40.68
(211) Culture Fair Numerical Spatial Examination - Final version50.63
(220) Cattell Culture Fair60.59
(225) Logima Strictica 3680.25
(231) Mysterium Entrance Exam50.10
(242) Unknown and miscellaneous tests180.06
(243) Scholastic Aptitude Test (old)40.05
(234) Strict Logic Sequences Exam I4-0.19

Weighted average of correlations: 0.315 (N = 63, weighted sum = 19.83)

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 The Nemesis 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 The Nemesis Test on that type

N = 496

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

Balanced g loading = 0.80

National medians for The Nemesis Test

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 The Nemesis Test

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

Correlation of The Nemesis Test with personal details

Personalia n r
P.S.I.A. System factor - Revision 200760.91
Observed associative horizon80.87
P.S.I.A. Cold - Revision 200760.70
P.S.I.A. Neurotic - Revision 200760.56
P.S.I.A. True - Revision 200760.52
Observed behaviour130.52
P.S.I.A. Ethics factor - Revision 200760.49
Educational level450.40
P.S.I.A. Antisocial - Revision 200760.33
P.S.I.A. Just - Revision 200760.26
P.S.I.A. Orderly - Revision 200760.25
P.S.I.A. Introverted - Revision 200760.23
P.S.I.A. Rational - Revision 200760.23
P.S.I.A. Rare - Revision 200760.12
Mother's educational level400.04
Father's educational level40-0.08
P.S.I.A. Cruel - Revision 20076-0.11
P.S.I.A. Deviance factor - Revision 20076-0.15
Year of birth49-0.21
Disorders (parents and siblings)43-0.22
P.S.I.A. Extreme - Revision 20076-0.22
P.S.I.A. Aspergoid - Revision 20076-0.26
Disorders (own)43-0.32
Cooijmans Inventory of Neo-Marxist Attitudes3-0.54
Gifted Adult's Inventory of Aspergerisms10-0.61

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 (652)NaN (0)
10.79 (399)0.57 (200)
20.76 (317)0.66 (294)
40.76 (91)0.80 (488)
60.74 (25)0.80 (533)
80.88 (16)0.81 (539)
22NaN (0)0.83 (652)


This is an example of a relatively short test that nevertheless has enough reliability to serve as a standalone test. This is a result of it being composed of almost exclusively very difficult items of extremely high quality. In such a case, you need fewer items to achieve high reliability than with easier and/or mediocre items. A raw score mode of zero is typical of such tests.


Scores by age

Age class n median score
65 to 6912.0
60 to 6410.0
50 to 5431.0
45 to 4943.5
40 to 4456.0
35 to 3964.0
30 to 3462.5
25 to 29121.5
22 to 2451.0
20 or 2112.0
18 or 1931.0

N = 49

Scores by year taken

Year taken n median score

ryear taken × median score = -0.37 (N = 49)

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.