Cooijmans Intelligence Test - Form 1 Statistics

© June 2004 Paul Cooijmans

The norms

The scores

# testees: 60
Mean: 90.6
SD: 12.44
Male mean: 90.5
Female mean: 98 (1 persons)

60*
69*
71*
72*
74*
75**
77***
78*
79***
81**
82*
84*
86***
87*****
89*
90****
91**
92*
93**
94***
95**
96*
97*
98**
99**
101*
102**
103*
104*
106*
107*
108*
110*
113*
114*
118**

Correlation with other tests

Test#cor
Analogies #190.82
Test To End All Tests40.8
Association Subtest of LTFG120.74
Analogies of LTFG110.71
Final Test130.69
Sigma Test70.63
Space, Time & Hyperspace210.6
Long Test For Genius100.54
Encephalist-R50.51
Numbers170.5
Qoymans Multiple-Choice #380.47
SAT (old)60.42
Raven APM70.37
OCIP40.32
Mega Test120.31
Logima Strictica 3650.27
Mysterium Entrance Exam40.26
Short Test For Genius80.24
Unknown tests100.21
Cattell Culture Fair110.17
Bonsai Test60.14
Power Test60.13
W8770.11
European IQ Test5-0.05
Qoymans Multiple-Choice13-0.09
Titan Test5-0.09
GRE6-0.28
NVCP4-0.82

Norming

Used for norming are the prior tests correlating .6 and higher. Prior scores are converted to an IQ scale with a standard deviation of 15. Prior and raw scores are rank-equated, missing scores are interpolated and there is a bit of extrapolation above and below.

The test appears to be harder than it seemed before, judging by the overall higher norms. Also remarkable is that only one female has taken it so far. Considering my observation about male and female ratios and score differences in the report "Correlations between Cooijmans tests", this too indicates the test is very hard.

To improve internal consistency, 25 items are removed from the test. Most of those are too easy, some have too low correlations with total score. The remaining 39 items, CIT Form 2, have correlations with total score (in the CIT Form 1) from .26 to .61, and difficulties (percentage of testees missing the item) from 7 to 95.

Additional statistics October 2014

© October 2014 Paul Cooijmans

Scores on Cooijmans Intelligence Test - Form 1

Contents type: Verbal, numerical, spatial.   Period: 1998-2004

52 **
60 *
69 *
71 *
72 **
74 *
75 **
77 ***
78 *
79 ***
81 **
82 *
84 *
86 ****
87 *****
89 *
90 ****
91 **
92 *
93 **
94 ***
95 **
96 *
97 **
98 **
99 **
101 *
102 **
103 *
104 *
106 *
107 *
108 *
110 *
113 *
114 *
118 **

Correlation of Cooijmans Intelligence Test - Form 1 with other tests by Paul Cooijmans

(Test index) Test name n r
(18) The Nemesis Test40.93
(53) Qoymans Multiple-Choice #380.91
(35) Intelligence Quantifier by assessment140.90
(54) Test of Shock and Awe40.90
(10) Genius Association Test90.85
(79) Association subtest of Long Test For Genius150.76
(77) Analogies #190.76
(75) Analogies of Long Test For Genius150.73
(63) Long Test For Genius140.72
(1) Cartoons of Shock40.69
(7) The Final Test160.69
(27) Spatial section of Test For Genius - Revision 200440.66
(57) Space, Time, and Hyperspace240.64
(28) The Test To End All Tests80.61
(2) Cooijmans Intelligence Test - Form 340.56
(68) Numbers190.41
(56) Short Test For Genius100.38
(84) Bonsai Test100.36
(74) Cooijmans On-Line Test50.12
(51) Qoymans Multiple-Choice #113-0.09
(16) Lieshout International Mesospheric Intelligence Test4-0.27
(80) Qoymans Multiple-Choice #45-0.51

Weighted average of correlations: 0.569

Conservatively estimated minimum g loading: 0.75

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.

Correlation of Cooijmans Intelligence Test - Form 1 with tests by others

(Test index) Test name n r
(237) Sigma Test80.52
(243) Scholastic Aptitude Test (old)70.48
(225) Logima Strictica 3660.45
(242) Unknown tests110.39
(229) Mega Test130.37
(230) Omega Contemplative Items Pool50.37
(213) Encephalist - R60.36
(231) Mysterium Entrance Exam40.26
(220) Cattell Culture Fair110.17
(233) Hoeflin Power Test60.13
(206) W-8770.11
(201) Wechsler Adult Intelligence Scales40.06
(239) Titan Test5-0.09
(219) Graduate Record Examination7-0.23
(218) Raven's Advanced Progressive Matrices (I.Q.)8-0.42
(235) Nonverbal Cognitive Performance Examination4-0.70

Weighted average of correlations: 0.177

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.

Estimated loadings of Cooijmans Intelligence Test - Form 1 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 1 on that type
Verbal0.76
Numerical0.64
Spatial0.73
Logical0.34
Heterogeneous0.74

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

Balanced g loading = 0.64

National medians for Cooijmans Intelligence Test - Form 1

Country n median score
Belgium3113.0
Canada398.0
Finland1094.0
Netherlands492.0
United_Kingdom490.5
France288.0
United_States2187.0
Italy286.0

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 1 with personal details

Personalia n r
Observed associative horizon80.60
P.S.I.A. Cruel70.53
P.S.I.A. True70.48
Observed behaviour160.46
Gifted Adult's Inventory of Aspergerisms60.40
P.S.I.A. Ethics factor130.36
P.S.I.A. Orderly70.26
Mother's educational level160.23
P.S.I.A. Aspergoid70.22
P.S.I.A. Rare70.22
Father's educational level160.19
P.S.I.A. Antisocial70.12
P.S.I.A. Deviance factor130.04
Educational level190.01
Sex650.01
Disorders (own)18-0.07
P.S.I.A. Cold7-0.07
Year of birth59-0.14
P.S.I.A. Introverted7-0.16
P.S.I.A. Neurotic7-0.20
Disorders (parents and siblings)18-0.21
P.S.I.A. Rational7-0.35
P.S.I.A. System factor9-0.44
P.S.I.A. Just7-0.45
P.S.I.A. Extreme7-0.58

Correlation with national I.Q.'s of Cooijmans Intelligence Test - Form 1

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)
00.75 (218)NaN (0)
80.50.65 (142)0.34 (32)
900.67 (96)0.70 (91)
99.50.51 (45)0.70 (144)
128NaN (0)0.75 (218)

Reliability

Error

Scores by age

Age class n median score
60 to 64194.0
55 to 59190.0
50 to 54784.0
45 to 49496.5
40 to 44798.0
35 to 39889.0
30 to 341092.5
25 to 29686.0
22 to 24791.0
20 or 21387.0
17285.5
16175.0

Scores by year taken

Year taken n median score
1998299.0
19991394.0
20001588.0
20011191.0
2002889.5
2003883.0
2004674.5

ryear taken × median score = -0.92 (n = 63)

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.