Cattell Culture Fair statistics

© November 2020 Paul Cooijmans

Introduction

For information, here are statistics of the scores on this test as reported by high-range test candidates, in the form of normalized "I.Q." with a standard deviation of 16:

Scores on Cattell Culture Fair as of 7 November 2020

95 *
100 *
108 *
111 *
114 *
119 *
122 *
126 *
127 *
128 *
129 *
130 ***
132 ***
133 ***
135 *
136 ******
137 *******
138 ****
140 ******
142 *********
144 ***
145 *
146 ***
147 *
148 *
149 *******
150 **
152 **
156 *
165 *
169 *
173 *
181 *
183 ***

Scores by males

n = 73

95 *
100 *
108 *
111 *
114 *
119 *
122 *
126 *
127 *
129 *
130 **
132 ***
133 ***
135 *
136 *****
137 ******
138 ****
140 ******
142 *******
144 ***
146 ***
147 *
149 *******
150 **
152 **
156 *
165 *
169 *
173 *
181 *
183 ***

Scores by females

n = 8

128 *
130 *
136 *
137 *
142 **
145 *
148 *

Correlation of Cattell Culture Fair with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(43) Test For Genius - Revision 201040.99
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201040.91
(16) Lieshout International Mesospheric Intelligence Test80.85
(18) The Nemesis Test60.59
(83) KIT Intelligence Test - first attempts40.49
(106) Cooijmans Intelligence Test - Form 440.49
(87) Cooijmans Intelligence Test - Form 2100.39
(23) Gliaweb Riddled Intelligence Test - Revision 201140.36
(7) The Final Test90.32
(28) The Test To End All Tests50.30
(2) Cooijmans Intelligence Test - Form 380.29
(26) Verbal section of Test For Genius - Revision 200480.29
(12) Cooijmans On-Line Test - Two-barrelled version40.28
(75) Analogies of Long Test For Genius100.21
(68) Numbers180.18
(85) Cooijmans Intelligence Test - Form 1110.17
(35) Intelligence Quantifier by assessment200.11
(1) Cartoons of Shock40.10
(3) Qoymans Multiple-Choice #550.04
(76) Analogies subtest of Long Test For Genius (Netherlandic)9-0.01
(80) Qoymans Multiple-Choice #46-0.05
(63) Long Test For Genius10-0.06
(57) Space, Time, and Hyperspace24-0.07
(69) Odds5-0.08
(65) Long Test For Genius (Netherlandic)8-0.09
(44) Associative LIMIT4-0.11
(56) Short Test For Genius8-0.11
(81) Association subtest of Long Test For Genius (Netherlandic)9-0.18
(66) Test For Genius - Revision 20044-0.23
(25) The Sargasso Test6-0.29
(10) Genius Association Test7-0.32
(27) Spatial section of Test For Genius - Revision 20048-0.33
(84) Bonsai Test4-0.35
(79) Association subtest of Long Test For Genius11-0.38
(19) Numerical section of Test For Genius - Revision 20105-0.45
(82) Reason4-0.74
(40) Reason Behind Multiple-Choice - Revision 20085-0.80
(51) Qoymans Multiple-Choice #14-0.88
(24) Reason - Revision 20085-0.94
(74) Cooijmans On-Line Test4-0.98

Weighted average of correlations: 0.021 (N = 296, weighted sum = 6.14)

Conservatively estimated minimum g loading: 0.14

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.

Remark: These correlations show that the test has as good as no g loading in this group of (high-range) candidates. This is mostly due to the speeded nature of the test, which removes any g loading in the high range. For a small part it is caused by fraud, for instance by candidates taking the test after extensive practising with the test itself, so being well acquainted with the test's contents and intended answers.

Correlation of Cattell Culture Fair with tests by others

(Test index) Test name n r
(201) Wechsler Adult Intelligence Scales90.93
(236) International High IQ Society Miscellaneous tests60.91
(234) Strict Logic Sequences Exam I50.67
(211) Culture Fair Numerical Spatial Examination - Final version40.59
(205) Cito-toets40.54
(209) Drenth number series130.53
(239) Titan Test50.51
(242) Unknown and miscellaneous tests270.45
(225) Logima Strictica 36100.29
(210) Drenth analogies40.27
(233) Hoeflin Power Test50.21
(218) Raven's Advanced Progressive Matrices (I.Q.)140.03
(212) Raven's Advanced Progressive Matrices (raw)90.01
(235) Nonverbal Cognitive Performance Examination8-0.02
(237) Sigma Test5-0.19
(229) Mega Test7-0.57

Weighted average of correlations: 0.324 (N = 135, weighted sum = 43.78)

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 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.

Correlation of Cattell Culture Fair with other tests by I.Q. Tests for the High Range - for females

(Test index) Test name n r
(76) Analogies subtest of Long Test For Genius (Netherlandic)30.53
(57) Space, Time, and Hyperspace30.24
(81) Association subtest of Long Test For Genius (Netherlandic)3-0.13
(87) Cooijmans Intelligence Test - Form 23-0.42
(68) Numbers3-0.43
(35) Intelligence Quantifier by assessment5-0.58

Weighted average of correlations: -0.177 (N = 20, weighted sum = -3.54)

Conservatively estimated minimum g loading among females: -0.42

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

Estimated loadings of Cattell Culture Fair 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 Cattell Culture Fair on that type
Verbal83-0.19
Numerical280.15
Spatial400.25
Logical13-0.95
Heterogeneous690.43

N = 233

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

Balanced g loading = -0.06

National medians for Cattell Culture Fair

Country n median score
Greece2158.0
France3152.0
United_Kingdom4149.0
United_States4142.5
Belgium6141.0
Finland20137.5
Germany4136.5
Netherlands24136.5

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 national I.Q.'s of Cattell Culture Fair

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

Correlation of Cattell Culture Fair with personal details

Personalia n r
P.S.I.A. Cruel - Revision 200750.61
Gifted Adult's Inventory of Aspergerisms80.61
P.S.I.A. Just - Revision 200750.47
P.S.I.A. System factor - Revision 200750.24
P.S.I.A. Cold - Revision 200750.21
P.S.I.A. Extreme - Revision 200750.19
P.S.I.A. Deviance factor - Revision 200750.15
P.S.I.A. Aspergoid - Revision 200750.14
Mother's educational level330.14
P.S.I.A. Rare - Revision 200750.13
Disorders (own)380.12
P.S.I.A. Neurotic - Revision 200750.11
Year of birth750.10
P.S.I.A. True - Revision 200750.09
Sex810.05
P.S.I.A. Antisocial - Revision 200750.04
Observed associative horizon80.01
Father's educational level33-0.02
P.S.I.A. Introverted - Revision 20075-0.03
P.S.I.A. Ethics factor - Revision 20075-0.10
Disorders (parents and siblings)34-0.12
P.S.I.A. Orderly - Revision 20075-0.12
P.S.I.A. Rational - Revision 20075-0.16
Observed behaviour15-0.37
Educational level38-0.42

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)
950.14 (296)NaN (0)
980.05 (291)NaN (0)
1040.05 (284)NaN (0)
1100.05 (284)NaN (0)
116-0.15 (277)NaN (0)
122-0.16 (273)NaN (0)
128-0.23 (266)NaN (0)
129-0.29 (261)NaN (0)
130-0.34 (248)NaN (0)
131-0.33 (242)NaN (0)
132-0.33 (242)0.60 (4)
133-0.36 (211)0.59 (29)
134-0.48 (181)0.59 (29)
137-0.48 (169)0.62 (77)
140-0.51 (120)0.55 (120)
142-0.57 (71)0.51 (178)
143-0.76 (29)0.51 (178)
146-0.74 (28)0.54 (182)
152-0.70 (13)0.60 (227)
158-0.49 (4)0.63 (233)
164-0.49 (4)0.63 (233)
170-0.49 (4)0.61 (234)
176-0.49 (4)0.51 (245)
182NaN (0)0.43 (261)
183NaN (0)0.14 (296)

Remark: The "Downward" column shows that the test never reaches a normal g loading (say, .7 or more), even when the (possibly fraudulent) top several scores are excluded.