Statistics of Cooijmans Intelligence Test - Form 3

© September 2017 Paul Cooijmans

Norms

Scores on Cooijmans Intelligence Test - Form 3

Contents type: Verbal, numerical, spatial.   Period: 2009-present

0 *
1 *
2 *
6 *
14 *
15 *
16 *
18 *
21 ***
22 *
25 ***
26 *****
28 **
29 **
30 ***
31 *
32 *
33 *
34 **
35 **
36 ****
37 ****
38 ****
39 ****
40 **
41 ***
42 *****
43 *
44 ****
45 *
46 *********
47 ***
48 ***
49 ***
50 **
51 ****
52 ****
53 ****
54 ****
55 ****
56 ***
57 *
58 **
60 *
60.5 *
61 *
62 *
65 *
67 *
71 *
76 *

Scores by males

n = 106

0 *
1 *
2 *
6 *
14 *
15 *
21 ***
25 ***
26 *****
28 **
29 **
30 **
31 *
32 *
34 **
35 **
36 ***
37 ****
38 ***
39 ****
40 **
41 ***
42 *****
43 *
44 ***
45 *
46 *********
47 ***
48 **
49 ***
50 *
51 ****
52 ****
53 ****
54 ****
55 ***
56 **
58 **
60 *
60.5 *
61 *
62 *
65 *
71 *
76 *

Scores by females

n = 13

18 *
22 *
30 *
33 *
36 *
38 *
44 *
48 *
50 *
55 *
56 *
57 *
67 *

Correlation of Cooijmans Intelligence Test - Form 3 with other tests by Paul Cooijmans

(Test index) Test name n r
(87) Cooijmans Intelligence Test - Form 270.98
(48) Narcissus' last stand80.96
(105) Space, Time, and Hyperspace - Revision 201670.92
(107) The Alchemist Test50.92
(66) Test For Genius - Revision 2004160.91
(42) The Marathon Test120.91
(28) The Test To End All Tests130.90
(45) Numerical and spatial sections of The Marathon Test140.88
(31) Numerical section of The Marathon Test150.87
(36) Reflections In Peroxide100.87
(103) Problems In Gentle Slopes of the second degree120.84
(35) Intelligence Quantifier by assessment200.84
(46) Labyrinthine LIMIT50.83
(32) Spatial section of The Marathon Test150.82
(37) Problems In Gentle Slopes of the third degree80.82
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010240.78
(43) Test For Genius - Revision 2010200.77
(109) The Bonsai Test - Revision 201690.76
(26) Verbal section of Test For Genius - Revision 2004330.75
(33) Problems In Gentle Slopes of the first degree80.75
(19) Numerical section of Test For Genius - Revision 2010270.75
(1) Cartoons of Shock200.73
(0) Test of the Beheaded Man160.72
(27) Spatial section of Test For Genius - Revision 2004360.71
(75) Analogies of Long Test For Genius50.71
(44) Associative LIMIT180.70
(5) Daedalus Test60.68
(7) The Final Test110.68
(16) Lieshout International Mesospheric Intelligence Test210.66
(40) Reason Behind Multiple-Choice - Revision 2008250.66
(108) Verbal section of Test For Genius - Revision 201660.65
(18) The Nemesis Test110.65
(30) Verbal section of The Marathon Test140.64
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude60.64
(24) Reason - Revision 2008260.62
(79) Association subtest of Long Test For Genius50.61
(110) Cooijmans Intelligence Test 550.60
(23) Gliaweb Riddled Intelligence Test - Revision 2011220.58
(10) Genius Association Test240.58
(80) Qoymans Multiple-Choice #480.57
(3) Qoymans Multiple-Choice #5250.53
(104) The Final Test - Revision 201370.51
(25) The Sargasso Test180.50
(68) Numbers70.49
(41) The LAW - Letters And Words60.40
(29) Words60.38
(106) Cooijmans Intelligence Test - Form 4230.37
(57) Space, Time, and Hyperspace90.33
(15) Letters70.29
(11) Isis Test120.28
(12) Cooijmans On-Line Test - Two-barrelled version110.26

Weighted average of correlations: 0.682

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

Correlation of Cooijmans Intelligence Test - Form 3 with tests by others

(Test index) Test name n r
(236) International High IQ Society Miscellaneous tests51.00
(239) Titan Test50.95
(231) Mysterium Entrance Exam70.71
(211) Culture Fair Numerical Spatial Examination - Final version60.62
(220) Cattell Culture Fair50.59
(234) Strict Logic Sequences Exam I130.57
(242) Unknown and miscellaneous tests410.45
(238) 916 Test60.45
(201) Wechsler Adult Intelligence Scales90.21
(225) Logima Strictica 3660.19
(248) Gliaweb Riddled Intelligence Test (old version)70.10
(246) Sequentia Numerica Form I50.03

Weighted average of correlations: 0.466

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.

Correlation of Cooijmans Intelligence Test - Form 3 with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(3) Qoymans Multiple-Choice #521.00
(7) The Final Test21.00
(23) Gliaweb Riddled Intelligence Test - Revision 201121.00
(24) Reason - Revision 200821.00
(25) The Sargasso Test21.00
(30) Verbal section of The Marathon Test21.00
(31) Numerical section of The Marathon Test21.00
(32) Spatial section of The Marathon Test21.00
(35) Intelligence Quantifier by assessment21.00
(40) Reason Behind Multiple-Choice - Revision 200821.00
(42) The Marathon Test21.00
(45) Numerical and spatial sections of The Marathon Test21.00
(109) The Bonsai Test - Revision 201621.00
(1) Cartoons of Shock40.96
(106) Cooijmans Intelligence Test - Form 430.86

Weighted average of correlations: 0.983

Conservatively estimated minimum g loading among females: 0.99

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.

Estimated loadings of Cooijmans Intelligence Test - Form 3 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 Cooijmans Intelligence Test - Form 3 on that type
Verbal0.79
Numerical0.87
Spatial0.83
Logical0.79
Heterogeneous0.79

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

Balanced g loading = 0.81

National medians for Cooijmans Intelligence Test - Form 3

Country n median score
Greece356.0
United_Kingdom651.5
Sweden1251.0
India350.0
Canada349.0
Netherlands747.0
Germany846.5
France246.0
Korea_South441.5
Finland341.0
Spain641.0
Italy639.5
United_States3339.0
South_Africa236.0
China232.0
Japan224.0

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 - Form 3

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

Correlation of Cooijmans Intelligence Test - Form 3 with personal details

Personalia n r
Observed associative horizon70.57
Observed behaviour130.53
P.S.I.A. Rational230.33
Candidate's self-estimated I.Q.430.19
P.S.I.A. Ethics factor250.18
P.S.I.A. True230.15
Educational level1160.15
Mother's educational level1120.09
P.S.I.A. Extreme230.07
P.S.I.A. Neurotic230.07
Father's educational level1110.07
P.S.I.A. Rare230.04
P.S.I.A. Introverted230.02
P.S.I.A. Cold230.02
P.S.I.A. Aspergoid230.01
P.S.I.A. Orderly23-0.01
P.S.I.A. Deviance factor25-0.03
Sex119-0.03
P.S.I.A. System factor19-0.05
Disorders (own)116-0.09
Year of birth119-0.11
Disorders (parents and siblings)115-0.13
P.S.I.A. Just23-0.14
P.S.I.A. Antisocial23-0.21
P.S.I.A. Cruel23-0.26
Cooijmans Inventory of Neo-Marxist Attitudes9-0.26
Gifted Adult's Inventory of Aspergerisms13-0.37

Correlation with personal details of Cooijmans Intelligence Test - Form 3 - within females

Personalia n r
Candidate's self-estimated I.Q.60.48
Father's educational level130.29
Educational level130.26
Mother's educational level130.05
Year of birth13-0.14
Disorders (own)13-0.38
Disorders (parents and siblings)13-0.41

Correlation with personal details of Cooijmans Intelligence Test - Form 3 - within males

Personalia n r
Observed associative horizon60.51
Observed behaviour120.49
P.S.I.A. Rational230.33
P.S.I.A. Ethics factor250.18
Candidate's self-estimated I.Q.370.15
P.S.I.A. True230.15
Educational level1030.13
Mother's educational level990.10
P.S.I.A. Extreme230.07
P.S.I.A. Neurotic230.07
P.S.I.A. Rare230.04
Father's educational level980.04
P.S.I.A. Introverted230.02
P.S.I.A. Cold230.02
P.S.I.A. Aspergoid230.01
P.S.I.A. Orderly23-0.01
P.S.I.A. Deviance factor25-0.03
Disorders (own)103-0.05
P.S.I.A. System factor19-0.05
Disorders (parents and siblings)102-0.09
Year of birth106-0.11
P.S.I.A. Just23-0.14
P.S.I.A. Antisocial23-0.21
P.S.I.A. Cruel23-0.26
Cooijmans Inventory of Neo-Marxist Attitudes9-0.26
Gifted Adult's Inventory of Aspergerisms13-0.37

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 (704)NaN (0)
33.50.68 (435)0.85 (157)
42.50.59 (238)0.82 (359)
51.50.76 (89)0.82 (506)
78NaN (0)0.83 (704)

Reliability

The very high reliability of the test results from (1) its length and (2) the fact that all the individual items perform well in item analysis.

Error

Scores by age

Age class n median score
70 to 74125.0
65 to 69139.0
60 to 64147.0
55 to 59334.0
50 to 54847.0
45 to 49741.0
40 to 441845.0
35 to 391547.0
30 to 341743.0
25 to 292138.0
22 to 241148.0
20 or 21839.5
18 or 19745.0
15125.0

Scores by age - within females

Age class n median score
50 to 54118.0
40 to 44167.0
35 to 39157.0
30 to 34452.5
25 to 29138.0
22 to 24235.0
18 or 19130.0

Scores by age - within males

Age class n median score
70 to 74125.0
65 to 69139.0
60 to 64147.0
55 to 59334.0
50 to 54748.0
45 to 49741.0
40 to 441744.0
35 to 391446.5
30 to 341342.0
25 to 292039.5
22 to 24951.0
20 or 21839.5
18 or 19645.5
15125.0

Scores by year taken

Year taken n median score
20091043.0
20102045.0
2011742.0
2012946.0
20131144.0
20141750.0
20152040.0
20161438.5
20171234.5

ryear taken × median score = -0.54 (n = 120)

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.

Correlations of sections with total score

Verbal0.90
Numerical0.90
Spatial0.86

Correlations between sections

Verbal × Numerical0.72
Verbal × Spatial0.66
Numerical × Spatial0.66

Section histograms

Prop. = proportion of candidates outscored in this section (in parentheses the proportion for any score higher than the current score but lower than the next score in the table).

Verbal

ScoreProp.# scores (* = 1 score)
00.008 (0.017) **
10.021 (0.025) *
20.029 (0.033) *
40.037 (0.042) *
60.046 (0.050) *
80.054 (0.058) *
90.071 (0.083) ***
100.092 (0.100) **
110.129 (0.158) *******
120.167 (0.175) **
130.192 (0.208) ****
140.229 (0.250) *****
150.271 (0.292) *****
160.304 (0.317) ***
170.354 (0.392) *********
17.50.396 (0.400) *
180.450 (0.500) ************
190.546 (0.592) ***********
19.50.596 (0.600) *
200.642 (0.683) **********
210.717 (0.750) ********
21.50.754 (0.758) *
220.800 (0.842) **********
230.892 (0.942) ************
23.50.946 (0.950) *
240.958 (0.967) **
250.971 (0.975) *
270.979 (0.983) *
300.992 (1.000) **

Numerical

ScoreProp.# scores (* = 1 score)
00.017 (0.033) ****
50.037 (0.042) *
60.050 (0.058) **
70.075 (0.092) ****
7.50.096 (0.100) *
80.104 (0.108) *
90.125 (0.142) ****
100.183 (0.225) **********
110.250 (0.275) ******
120.296 (0.317) *****
130.329 (0.342) ***
140.371 (0.400) *******
150.429 (0.458) *******
160.483 (0.508) ******
170.554 (0.600) ***********
17.50.608 (0.617) **
180.662 (0.708) ***********
190.758 (0.808) ************
200.846 (0.883) *********
210.900 (0.917) ****
220.942 (0.967) ******
230.975 (0.983) **
240.992 (1.000) **

Spatial

ScoreProp.# scores (* = 1 score)
00.025 (0.050) ******
10.063 (0.075) ***
20.104 (0.133) *******
30.150 (0.167) ****
40.192 (0.217) ******
50.258 (0.300) **********
5.50.304 (0.308) *
60.325 (0.342) ****
6.50.346 (0.350) *
70.388 (0.425) *********
80.450 (0.475) ******
90.512 (0.550) *********
100.583 (0.617) ********
110.654 (0.692) *********
120.729 (0.767) *********
130.808 (0.850) **********
140.858 (0.867) **
150.892 (0.917) ******
160.921 (0.925) *
170.933 (0.942) **
180.954 (0.967) ***
190.975 (0.983) **
200.988 (0.992) *
220.996 (1.000) *