Cattell Culture Fair statistics

© December 2009 Paul Cooijmans

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

Scores

95 *
100 *
108 *
111 *
114 *
121 *
128 *
130 ***
132 **
133 ***
135 *
136 ******
137 ******
138 ****
140 ****
142 ********
144 ***
146 ***
147 *
149 *******
150 **
152 *
156 *
165 *
169 *
173 *
181 *
183 **

Correlation with tests by Paul Cooijmans

Test#cor
Lieshout International Mesospheric Intelligence Test40.70
Cooijmans Intelligence Test - Form 290.47
The Final Test70.39
Verbal section of Test For Genius - Revision 200440.22
Analogies of Long Test For Genius100.21
Numbers180.18
Cooijmans Intelligence Test - Form 1110.17
Qoymans Multiple-Choice #450.01
Analogies of Long Test For Genius (N.L.)9-0.01
Long Test For Genius10-0.06
Space, Time and Hyperspace24-0.07
Long Test For Genius (N.L.)8-0.08
Odds5-0.08
Short Test For Genius8-0.11
Association subtest of Long Test For Genius (N.L.)9-0.18
Test For Genius - Revision 20044-0.23
Bonsai Test4-0.35
Association subtest of Long Test For Genius10-0.36
Spatial section of Test For Genius - Revision 20044-0.45
Qoymans Multiple-Choice #14-0.88

Weighted average of correlations: 0.005

Conservatively estimated minimum g loading: 0.07

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 with tests by others

Test#cor
Wechsler Adult Intelligence Scales70.94
Culture Fair Numerical Spatial Examination - Final version40.59
Drenth number series90.55
Cito-toets40.54
Titan Test50.51
Logima Strictica 36100.29
Drenth analogies40.27
Hoeflin Power Test50.21
Nonverbal Cognitive Performance Examination70.18
Raven's Advanced Progressive Matrices (I.Q.)11-0.17
Sigma Test5-0.19
Mega Test7-0.57

Weighted average of correlations: 0.232

Conservatively estimated minimum g loading: 0.48

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.

National medians

Country# scoresMedian score
Greece2158.0
United_States2154.5
France3152.0
United_Kingdom2149.0
Belgium5142.0
Finland19137.0
Netherlands21137.0

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 personal details

Personalia#cor
P.S.I.A. System factor (phased out)50.76
Observed associative horizon is wide40.64
P.S.I.A. Cruel120.62
Gifted Adult's Inventory of Aspergerisms80.61
P.S.I.A. Antisocial120.58
P.S.I.A. Rare120.45
P.S.I.A. Aspergoid120.43
Observed behaviour is good90.42
P.S.I.A. Deviance factor160.37
P.S.I.A. Neurotic120.34
P.S.I.A. Introverted120.26
Mother's educational level250.23
Disorders (own)260.21
P.S.I.A. Cold120.18
P.S.I.A. Just120.13
Number of characters in candidate's name as registered680.11
Is male680.09
Father's educational level250.03
P.S.I.A. Orderly12-0.01
Year of birth63-0.01
P.S.I.A. Extreme12-0.04
Disorders (parents and siblings)25-0.06
P.S.I.A. Rational12-0.08
P.S.I.A. True12-0.13
P.S.I.A. Ethics factor16-0.27
Educational level25-0.48

Correlation with personal details - within females

Personalia#cor
Disorders (own)30.87
Number of characters in candidate's name as registered5-0.30
Year of birth5-0.91

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)
95.37 (330)NaN (0)
105.34 (316)1.0 (2)
115.31 (308).33 (9)
125.29 (303).52 (11)
130.22 (297).82 (25)
132.24 (288).68 (34)
133.25 (267).26 (72)
134-.36 (213).26 (72)
135-.36 (213).26 (72)
140-.40 (142).52 (167)
145-.72 (73).50 (212)
150-.92 (55).62 (259)
155-.77 (23).61 (261)
160-.44 (16).65 (275)
165-.44 (16).65 (281)
170-.41 (15).64 (282)
175-1.0 (6).55 (291)
180-1.0 (6).55 (291)
181-1.0 (6).48 (315)
183NaN (0).37 (330)

From this table it appears that the g factor loading of the test is negative in the range from 134 upward, implying that the true ceiling in intelligence lies in the mid-130s, and higher scores correspond to lower (or at least not necessarily higher) g levels. This is likely related to the easy and speeded nature of the test, which apparently causes it to measure mainly (test-taking) "speed" and little to no "power" above the mid-130s. "Speed" is known to possess no significant loading on g and is probably a personality trait in itself, outside of the cognitive domain.