Statistics of Cooijmans Intelligence Test - Form 2

© May 2009 Paul Cooijmans

Norms

Scores

0 **
7.5 *
10 *
11 *
13 *
14 *
15 *
16 *
17 ***
18 **
18.5 **
19 *
20 ******
20.5 ***
21 *
22 ***
22.5 ***
23 **
23.5 **
24 ****
24.5 *
25 ***
25.5 *
26 *
27 *
28 ***
29 *
29.5 **
30 *
31 *
31.5 *
32.5 *
33 *
34.5 *
36.5 *

Correlation with other tests

Test#cor
The Nemesis Test60.98
The Marathon Test60.92
Culture Fair Numerical Spatial Examination - C50.91
Test For Genius - Revision 2004190.89
Mysterium Entrance Exam60.87
Long Test For Genius50.87
Qoymans Multiple-Choice #570.85
The Sargasso Test70.83
Spatial section of Test For Genius - Revision 2004190.82
Reason Behind Multiple-Choice - Revision 200870.80
Verbal section of Test For Genius - Revision 2004190.80
Association subtest of Long Test For Genius60.78
Analogies of Long Test For Genius50.77
Odds50.75
Culture Fair Numerical Spatial Examination - Final version140.74
Verbal section of The Marathon Test60.67
Strict Logic Spatial Exam 4870.66
Logima Strictica 36130.65
Numbers90.65
Nonverbal Cognitive Performance Examination90.64
Spatial Insight Test90.63
The Test To End All Tests100.60
Titan Test50.60
Genius Association Test170.58
Reason Behind Multiple-Choice140.58
The Final Test110.58
Numerical section of The Marathon Test60.56
Associative LIMIT Test150.56
Reason - Revision 200870.56
Space, Time and Hyperspace130.53
Reason140.52
Qoymans Multiple-Choice #4190.51
International High IQ Society Miscellaneous tests60.50
Lieshout International Mesospheric Intelligence Test210.48
Test of Shock and Awe70.41
Strict Logic Sequences Exam I150.41
Spatial section of The Marathon Test60.35
Cartoons of Shock90.34
Unknown tests7-0.02
Bonsai Test6-0.28
Strict Logic Sequences Exam II5-0.58

Weighted average of correlations: 0.604

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; Correlations are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

National medians

Country# scoresMedian score
Spain226.8
Canada325.5
Sweden325.0
Germany224.0
Turkey324.0
United_Kingdom423.0
Belgium322.0
Poland221.8
Netherlands720.0
United_States1120.0
Finland818.5
Norway216.5

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 personal details

Personalia#cor
Observed associative horizon is wide30.76
Cattell Culture Fair90.47
P.S.I.A. System factor (phased out)70.46
P.S.I.A. Rare270.43
P.S.I.A. Aspergoid270.38
Wechsler Adult Intelligence Scales60.33
W-8740.33
P.S.I.A. Neurotic270.33
Gifted Adult's Inventory of Aspergerisms110.29
P.S.I.A. Cold270.29
P.S.I.A. Antisocial270.28
P.S.I.A. Cruel270.27
Mother's educational level580.26
Raven's Advanced Progressive Matrices (I.Q.)50.26
P.S.I.A. Deviance factor300.24
Father's educational level580.23
Is male610.22
P.S.I.A. Introverted270.18
P.S.I.A. True270.15
Observed behaviour is good80.14
Year of birth610.12
Educational level580.06
Number of characters in candidate's name as registered610.02
Is resident of the European Union310.01
P.S.I.A. Ethics factor30-0.04
P.S.I.A. Rational27-0.05
P.S.I.A. Just27-0.05
P.S.I.A. Orderly27-0.19
P.S.I.A. Extreme27-0.20
Disorders (own)58-0.24
Disorders (parents and siblings)58-0.26
Raven's Advanced Progressive Matrices (raw)3-0.58

Correlation with personal details - within females

Personalia#cor
Father's educational level31.00
Mother's educational level31.00
Educational level30.99
Disorders (own)30.63
Number of characters in candidate's name as registered40.49
Disorders (parents and siblings)3-0.36
Year of birth4-0.91

Correlation with national I.Q.s

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

Estimated g factor loadings Upward and Downward of specific scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The Upward and Downward values are calculated including the pertinent score itself. It is normal that g factor loadings go down when the range is restricted like this, but careful study of the Upward and Downward columns may reveal possible scores below or above which the test loses validity altogether.

ScoreUpward (n)Downward (n)
0.76 (499)NaN (0)
5.73 (468)NaN (0)
10.7 (450)-.15 (19)
15.59 (406).63 (60)
20.6 (337).74 (172)
22.5.6 (266).73 (206)
25.63 (177).71 (325)
27.5.72 (84).73 (378)
30.72 (30).72 (447)
32.78 (21).73 (453)
33.76 (19).73 (473)
341.00 (2).73 (473)
36.5NaN (0).76 (499)

Reliability

Error

Scores by age

Age group# scoresMedian score
60 to 6417.5
50 to 54320.5
45 to 49522.0
40 to 44525.0
35 to 39920.0
30 to 341120.5
25 to 291323.0
22 to 24725.5
20 or 21322.0
18 or 19322.5
17120.5

Scores by age - within females

Age group# scoresMedian score
35 to 39222.0
30 to 3429.9

Scores by year taken

Year taken# candidatesMedian score
2004723.5
20051422.3
2006925.0
20071120.0
20081422.8
2009625.0

Correlation year taken versus median score = 0.11
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 (validity of the item in this test) 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

Verbal0.91
Numerical0.91
Spatial0.88

Correlations between sections

Verbal × Numerical0.74
Verbal × Spatial0.70
Numerical × Spatial0.71

Section histograms

Prop. = proportion of candidates outscored in this section.

Verbal

RawProp.Scores (* = 1 candidate)
00.015 **
40.045 **
50.083 ***
6.750.114 *
70.129 *
7.50.159 ***
80.205 ***
8.50.250 ***
90.303 ****
9.250.341 *
9.50.364 **
9.750.386 *
100.462 *********
10.50.621 ************
10.750.720 *
110.773 ******
11.50.856 *****
120.909 **
12.50.932 *
13.50.955 **
140.977 *
14.50.992 *

Numerical

RawProp.Scores (* = 1 candidate)
00.015 **
20.045 **
2.50.068 *
3.50.083 *
40.106 **
4.250.129 *
50.152 **
5.250.174 *
5.50.212 ****
5.750.250 *
60.280 ***
6.50.311 *
70.341 ***
7.50.417 *******
80.530 ********
8.250.598 *
8.50.621 **
90.652 **
9.50.720 *******
9.750.780 *
100.818 ****
10.50.871 ***
110.917 ***
11.50.947 *
11.750.962 *
120.985 **

Spatial

RawProp.Scores (* = 1 candidate)
00.023 ***
10.061 **
1.250.083 *
1.50.098 *
20.121 **
2.50.152 **
30.205 *****
3.50.280 *****
40.364 ******
4.50.485 **********
50.606 ******
5.50.667 **
60.727 ******
6.250.780 *
6.50.795 *
70.818 **
7.50.841 *
80.864 **
8.50.902 ***
90.939 **
9.50.970 **
10.50.992 *