Statistics of Cooijmans Intelligence Test - Form 3

© Feb. 2014 Paul Cooijmans

Norms

Scores on Cooijmans Intelligence Test - Form 3

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

15 *
18 *
21 *
25 *
26 ***
28 *
29 *
31 *
34 *
35 **
36 ***
37 **
38 **
39 **
40 *
41 **
42 ***
43 *
44 ***
46 ***
47 ***
48 *
49 **
50 *
51 ***
53 ****
54 *
56 **
57 *
58 *
60.5 *
61 *
62 *
65 *
67 *
71 *
76 *

Scores by males

n = 55

15 *
21 *
25 *
26 ***
28 *
29 *
31 *
34 *
35 **
36 ***
37 **
38 *
39 **
40 *
41 **
42 ***
43 *
44 ***
46 ***
47 ***
48 *
49 **
51 ***
53 ****
54 *
56 *
58 *
60.5 *
61 *
62 *
65 *
71 *
76 *

Scores by females

n = 6

18 *
38 *
50 *
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
(36) Reflections In Peroxide40.98
(45) Numerical and spatial sections of The Marathon Test60.97
(31) Numerical section of The Marathon Test60.96
(66) Test For Genius - Revision 2004110.95
(32) Spatial section of The Marathon Test60.95
(42) The Marathon Test50.91
(48) Narcissus' last stand40.91
(1) Cartoons of Shock90.85
(0) Test of the Beheaded Man90.84
(28) The Test To End All Tests90.84
(26) Verbal section of Test For Genius - Revision 2004180.80
(7) The Final Test80.78
(35) Intelligence Quantifier by assessment140.70
(40) Reason Behind Multiple-Choice - Revision 2008140.68
(18) The Nemesis Test70.66
(24) Reason - Revision 2008150.65
(43) Test For Genius - Revision 201070.59
(23) Gliaweb Riddled Intelligence Test - Revision 201150.58
(27) Spatial section of Test For Genius - Revision 2004180.55
(19) Numerical section of Test For Genius - Revision 201080.52
(25) The Sargasso Test110.52
(3) Qoymans Multiple-Choice #5140.49
(68) Numbers50.42
(10) Genius Association Test150.42
(11) Isis Test60.38
(80) Qoymans Multiple-Choice #470.36
(30) Verbal section of The Marathon Test70.36
(44) Associative LIMIT110.35
(57) Space, Time, and Hyperspace50.35
(106) Cooijmans Intelligence Test - Form 450.30
(12) Cooijmans On-Line Test (Two-barrelled)40.29
(16) Lieshout International Mesospheric Intelligence Test120.23
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201060.22

Weighted average of correlations: 0.622

Conservatively estimated minimum g loading: 0.79

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 to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Remark: The amount of data in the above and below tables is smaller than usual for a test with this number of candidates. The cause for that appears to be that the test is relatively often taken by "new" candidates who have no known scores on other tests yet. This also implies that the quality of the norms is somewhat lower than is normal after this number of test submissions.

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

(Test index) Test name n r
(239) Titan Test40.80
(201) Wechsler Adult Intelligence Scales40.78
(220) Cattell Culture Fair40.70
(238) 916 Test40.58
(211) Culture Fair Numerical Spatial Examination - Final version40.51
(234) Strict Logic Sequences Exam I80.48
(231) Mysterium Entrance Exam60.47
(225) Logima Strictica 3650.38
(246) Sequentia Numerica Form I50.03
(242) Unknown tests8-0.42

Weighted average of correlations: 0.361

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 to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

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
(1) Cartoons of Shock21.00
(3) Qoymans Multiple-Choice #521.00
(7) The Final Test21.00
(24) Reason - Revision 200821.00
(40) Reason Behind Multiple-Choice - Revision 200821.00

Weighted average of correlations: 1.000

Conservatively estimated minimum g loading among females: 1.00

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 to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

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
Verbal0.77
Numerical0.80
Spatial0.70
Logical0.81
Heterogeneous0.81

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

Balanced g loading = 0.78

National medians for Cooijmans Intelligence Test - Form 3

Country n median score
Greece356.0
United_Kingdom454.8
Sweden351.0
India350.0
Netherlands650.0
Germany646.5
Spain246.5
Canada245.0
Finland341.0
United_States1341.0
Belgium240.5
Italy234.0

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 of Cooijmans Intelligence Test - Form 3 with personal details

Personalia n r
Observed associative horizon60.64
P.S.I.A. Rare150.49
Observed behaviour100.38
P.S.I.A. Rational150.35
P.S.I.A. Extreme150.30
P.S.I.A. Orderly150.29
Candidate's self-estimated I.Q.110.27
P.S.I.A. Antisocial150.25
P.S.I.A. Ethics factor150.23
P.S.I.A. Neurotic150.21
P.S.I.A. Deviance factor150.21
Mother's educational level550.19
Gifted Adult's Inventory of Aspergerisms90.18
Father's educational level550.17
P.S.I.A. True150.16
Disorders (own)590.14
P.S.I.A. Aspergoid150.08
P.S.I.A. System factor110.07
Year of birth610.03
Educational level580.02
Disorders (parents and siblings)58-0.00
Sex61-0.09
P.S.I.A. Cold15-0.10
P.S.I.A. Introverted15-0.11
Cooijmans Inventory of Neo-Marxist Attitudes5-0.18
P.S.I.A. Just15-0.32
P.S.I.A. Cruel15-0.37

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

Personalia n r
Educational level60.57
Father's educational level60.41
Year of birth60.29
Mother's educational level60.20
Disorders (own)6-0.84
Disorders (parents and siblings)6-0.84

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

Personalia n r
Observed associative horizon50.52
P.S.I.A. Rare150.49
Observed behaviour90.35
P.S.I.A. Rational150.35
P.S.I.A. Extreme150.30
P.S.I.A. Orderly150.29
Disorders (own)530.27
P.S.I.A. Antisocial150.25
P.S.I.A. Ethics factor150.23
P.S.I.A. Neurotic150.21
P.S.I.A. Deviance factor150.21
Candidate's self-estimated I.Q.100.20
Mother's educational level490.20
Gifted Adult's Inventory of Aspergerisms90.18
P.S.I.A. True150.16
Father's educational level490.12
Disorders (parents and siblings)520.11
P.S.I.A. Aspergoid150.08
P.S.I.A. System factor110.07
Year of birth55-0.00
Educational level52-0.06
P.S.I.A. Cold15-0.10
P.S.I.A. Introverted15-0.11
Cooijmans Inventory of Neo-Marxist Attitudes5-0.18
P.S.I.A. Just15-0.32
P.S.I.A. Cruel15-0.37

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:

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)
00.79 (298)NaN (0)
35.50.64 (184)0.44 (26)
440.66 (145)0.78 (144)
52.50.77 (65)0.76 (178)
78NaN (0)0.79 (298)

Reliability

Error

Scores by age

Age class n median score
60 to 64147.0
55 to 59238.0
50 to 54548.0
45 to 49233.5
40 to 441037.5
35 to 391049.0
30 to 341044.0
25 to 291438.0
22 to 24453.5
20 or 21346.0

Scores by age - within females

Age class n median score
50 to 54118.0
40 to 44167.0
35 to 39157.0
30 to 34253.0
25 to 29138.0

Scores by age - within males

Age class n median score
60 to 64147.0
55 to 59238.0
50 to 54448.5
45 to 49233.5
40 to 44935.0
35 to 39947.0
30 to 34843.5
25 to 291338.0
22 to 24453.5
20 or 21346.0

Scores by year taken

Year taken n median score
20091043.0
20102045.0
2011742.0
2012946.0
20131144.0
2014452.0

ryear taken × median score = 0.69 (n = 61)

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.

All of the items of this test have clear positive correlations with total score, and all have been solved multiple times and missed multiple times.

Correlations of sections with total score

Verbal0.88
Numerical0.85
Spatial0.86

Correlations between sections

Verbal × Numerical0.66
Verbal × Spatial0.63
Numerical × Spatial0.58

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)
80.008 (0.016) *
90.033 (0.049) **
110.082 (0.115) ****
120.123 (0.131) *
130.148 (0.164) **
150.180 (0.197) **
160.221 (0.246) ***
170.262 (0.279) **
180.328 (0.377) ******
190.434 (0.492) *******
19.50.500 (0.508) *
200.557 (0.607) ******
210.648 (0.689) *****
21.50.697 (0.705) *
220.746 (0.787) *****
230.836 (0.885) ******
23.50.893 (0.902) *
240.918 (0.934) **
250.943 (0.951) *
270.959 (0.967) *
300.984 (1.000) **

Numerical

ScoreProp.# scores (* = 1 score)
60.008 (0.016) *
70.033 (0.049) **
90.066 (0.082) **
100.139 (0.197) *******
110.221 (0.246) ***
120.262 (0.279) **
130.295 (0.311) **
140.344 (0.377) ****
150.402 (0.426) ***
160.459 (0.492) ****
170.533 (0.574) *****
17.50.590 (0.607) **
180.639 (0.672) ****
190.721 (0.770) ******
200.811 (0.852) *****
210.877 (0.902) ***
220.926 (0.951) ***
230.959 (0.967) *
240.984 (1.000) **

Spatial

ScoreProp.# scores (* = 1 score)
00.025 (0.049) ***
10.057 (0.066) *
20.098 (0.131) ****
40.156 (0.180) ***
50.205 (0.230) ***
5.50.238 (0.246) *
60.270 (0.295) ***
6.50.303 (0.311) *
70.369 (0.426) *******
80.451 (0.475) ***
90.492 (0.508) **
100.533 (0.557) ***
110.607 (0.656) ******
120.705 (0.754) ******
130.787 (0.820) ****
140.828 (0.836) *
150.852 (0.869) **
170.885 (0.902) **
180.918 (0.934) **
190.951 (0.967) **
200.975 (0.984) *
220.992 (1.000) *