Association Test Statistics

© May 2003 Paul Cooijmans

Remark: This is a subtest of the Long Test For Genius. It has meanwhile been fused with the analogies subtest into a broader verbal subtest with higher reliability and validity.

Norms

Scores

Association Test, ©1995, subtest of long Test For Genius (English version), has drawn these scores out of 39 (71 scores):

04*
05*
06***
07**
09*****
10***** ****
11*****
12****
13*****
14***
15***** *
16**
17****
18***
19**
20*****
21**
22*
23***
24**
25*
26*
28*

Correlation with other tests:

Test#cor
Bonsai Test40.93
Cooijmans Intelligence Test90.93
G-Test40.88
Miller Analogies50.81
SAT (old)60.78
Final Test190.77
Long Test For Genius570.74
Analogies of LTFG630.68
Test To End All Tests50.68
Cattell Culture Fair50.58
Mysterium Entrance Exam50.56
Sigma Test50.53
W8790.48
Space, Time & Hyperspace570.46
Encephalist-R40.37
Evens70.28
Qoymans Multiple-Choice #290.22
Qoymans Multiple-Choice100.15
WAIS40.14
Analogies #170.08
Unknown tests90.05
Logima Strictica 3650.01
Mega Test15-0.06
Raven APM6-0.25
Titan Test6-0.33
GRE4-0.76

Mean correlation: 0.38

Used for norming are all that correlate .74 or higher. Prior scores are converted to the same scale (SD=15) if needed. Raw and prior scores are put in columns of numerical order, the highest facing the highest etc. Each raw score is normed at the median of the IQ's facing it. Scores above 28 are extrapolated. [March 2008 the IQ norms were converted to protonorms using the initial protonorm formula.]

Additional statistics October 2014

© October 2014 Paul Cooijmans

Scores on Association subtest of Long Test For Genius

Contents type: Verbal.   Period: 1995-2004

3 *
4 *
5 *
6 ****
7 **
9 ******
10 ************
11 *********
12 ********
13 ******
14 *******
15 *********
16 ******
17 *******
18 *****
19 ***
20 ******
21 ***
22 **
23 ****
24 ***
25 *
26 **
33 *

Scores by males

n = 102

3 *
4 *
5 *
6 ****
7 **
9 *****
10 ***********
11 ********
12 ********
13 ******
14 *******
15 *******
16 *****
17 *******
18 *****
19 ***
20 ******
21 ***
22 **
23 ***
24 ***
25 *
26 **
33 *

Scores by females

n = 7

9 *
10 *
11 *
15 **
16 *
23 *

Correlation of Association subtest of Long Test For Genius with other tests by Paul Cooijmans

(Test index) Test name n r
(74) Cooijmans On-Line Test50.87
(18) The Nemesis Test60.86
(35) Intelligence Quantifier by assessment200.80
(87) Cooijmans Intelligence Test - Form 260.78
(66) Test For Genius - Revision 2004150.78
(26) Verbal section of Test For Genius - Revision 2004150.78
(85) Cooijmans Intelligence Test - Form 1150.76
(63) Long Test For Genius840.74
(7) The Final Test320.70
(75) Analogies of Long Test For Genius930.69
(84) Bonsai Test80.67
(69) Odds50.66
(55) Spatial Insight Test60.63
(1) Cartoons of Shock60.62
(27) Spatial section of Test For Genius - Revision 2004150.61
(54) Test of Shock and Awe70.53
(68) Numbers300.53
(10) Genius Association Test260.52
(57) Space, Time, and Hyperspace850.48
(53) Qoymans Multiple-Choice #3270.47
(28) The Test To End All Tests130.42
(77) Analogies #1110.39
(56) Short Test For Genius140.39
(51) Qoymans Multiple-Choice #1130.37
(44) Associative LIMIT70.34
(80) Qoymans Multiple-Choice #4160.30
(86) Evens70.28
(52) Qoymans Multiple-Choice #2130.28
(83) KIT Intelligence Test - first attempts5-0.07
(16) Lieshout International Mesospheric Intelligence Test11-0.10
(29) Words6-0.15
(11) Isis Test9-0.17
(82) Reason5-0.33
(15) Letters5-0.51

Weighted average of correlations: 0.548

Conservatively estimated minimum g loading: 0.74

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 have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Correlation of Association subtest of Long Test For Genius with tests by others

(Test index) Test name n r
(224) T.R.I.60.94
(217) G-test50.89
(243) Scholastic Aptitude Test (old)60.78
(229) Mega Test160.77
(238) 916 Test50.76
(234) Strict Logic Sequences Exam I80.76
(239) Titan Test110.76
(228) Miller Analogies Test (raw; old version)60.71
(213) Encephalist - R60.56
(237) Sigma Test110.49
(206) W-8790.46
(242) Unknown tests120.43
(235) Nonverbal Cognitive Performance Examination190.41
(219) Graduate Record Examination60.30
(231) Mysterium Entrance Exam110.25
(201) Wechsler Adult Intelligence Scales60.08
(225) Logima Strictica 36100.07
(211) Culture Fair Numerical Spatial Examination - Final version6-0.13
(218) Raven's Advanced Progressive Matrices (I.Q.)10-0.21
(236) International High IQ Society Miscellaneous tests8-0.22
(220) Cattell Culture Fair11-0.38
(212) Raven's Advanced Progressive Matrices (raw)5-0.62

Weighted average of correlations: 0.359

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 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 Association subtest of Long Test For Genius with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(75) Analogies of Long Test For Genius70.92
(63) Long Test For Genius70.89
(57) Space, Time, and Hyperspace70.77

Weighted average of correlations: 0.862

Conservatively estimated minimum g loading among females: 0.93

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 have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Estimated loadings of Association subtest of Long Test For Genius 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 Association subtest of Long Test For Genius on that type
Verbal0.73
Numerical0.71
Spatial0.67
Logical0.52
Heterogeneous0.73

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

Balanced g loading = 0.67

National medians for Association subtest of Long Test For Genius

Country n median score
United_Kingdom1018.5
Germany217.0
Australia316.0
Canada415.0
Sweden715.0
Finland614.0
United_States3814.0
Norway212.0
Brazil211.5
Greece411.0
France210.5

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 of Association subtest of Long Test For Genius with personal details

Personalia n r
Observed associative horizon160.58
Educational level460.25
Observed behaviour160.25
P.S.I.A. Orderly140.22
P.S.I.A. Cruel140.17
P.S.I.A. Ethics factor350.14
P.S.I.A. Rational140.12
P.S.I.A. Cold140.09
Disorders (own)460.08
P.S.I.A. System factor230.03
Sex1090.02
P.S.I.A. Antisocial14-0.02
Disorders (parents and siblings)45-0.06
Year of birth102-0.07
P.S.I.A. Introverted14-0.07
P.S.I.A. Deviance factor35-0.09
P.S.I.A. Just14-0.10
Father's educational level37-0.10
Mother's educational level37-0.11
P.S.I.A. Neurotic14-0.20
P.S.I.A. True14-0.22
P.S.I.A. Rare14-0.32
P.S.I.A. Extreme14-0.34
P.S.I.A. Aspergoid14-0.35
Gifted Adult's Inventory of Aspergerisms20-0.47

Correlation with national I.Q.'s of Association subtest of Long Test For Genius

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)
00.74 (641)NaN (0)
10.50.74 (453)0.09 (115)
140.65 (307)0.44 (292)
17.50.55 (157)0.59 (433)
40NaN (0)0.74 (641)

Reliability

Error

Scores by age

Age class n median score
70 to 74311.0
60 to 64112.0
55 to 59418.5
50 to 541015.5
45 to 49715.0
40 to 441318.0
35 to 391915.0
30 to 341112.0
25 to 291414.5
22 to 24411.5
20 or 21614.5
18 or 19311.0
17211.0
16312.0

Scores by age - within females

Age class n median score
70 to 74111.0
50 to 54215.5
40 to 44310.0
35 to 39115.0

Scores by age - within males

Age class n median score
70 to 74211.5
60 to 64112.0
55 to 59418.5
50 to 54815.0
45 to 49715.0
40 to 441018.5
35 to 391815.5
30 to 341112.0
25 to 291414.5
22 to 24411.5
20 or 21614.5
18 or 19311.0
17211.0
16312.0

Scores by year taken

Year taken n median score
1995110.0
19961112.0
1997117.0
1998114.0
1999916.0
2000511.0
20011715.0
20022313.0
20031916.0
20042014.0

ryear taken × median score = 0.34 (n = 107)

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. In this case, the test has been fused with the analogies subtest of the Long Test For Genius into the Verbal section of the Test For Genius - Revision 2010.