Statistics of observed associative horizon

© April 2012 Paul Cooijmans

Introduction

To detect possible correlates of associative horizon, assessment scores have been assigned to candidates displaying a markedly narrow associative horizon (scored as 0) and to candidates displaying a markedly wide associative horizon (1). The following statistics result.

Scores on Observed associative horizon

Contents type: Assessment.   

0 *************************
1 ***********************************

Correlation of Observed associative horizon with other tests by Paul Cooijmans

(Test index) Test name n r
(77) Analogies #150.85
(87) Cooijmans Intelligence Test - Form 270.81
(18) The Nemesis Test60.76
(1) Cartoons of Shock50.74
(11) Isis Test60.71
(56) Short Test For Genius130.63
(75) Analogies of Long Test For Genius130.60
(85) Cooijmans Intelligence Test - Form 180.60
(79) Association subtest of Long Test For Genius160.58
(35) Intelligence Quantifier by assessment410.56
(68) Numbers150.54
(7) The Final Test160.53
(63) Long Test For Genius120.52
(2) Cooijmans Intelligence Test - Form 350.52
(62) Reason Behind Multiple-Choice60.52
(84) Bonsai Test60.51
(16) Lieshout International Mesospheric Intelligence Test70.43
(66) Test For Genius - Revision 200480.43
(26) Verbal section of Test For Genius - Revision 200480.41
(57) Space, Time, and Hyperspace160.38
(80) Qoymans Multiple-Choice #4140.35
(27) Spatial section of Test For Genius - Revision 200480.33
(10) Genius Association Test80.18
(28) The Test To End All Tests90.11
(82) Reason80.10
(51) Qoymans Multiple-Choice #17-0.03

Weighted average of correlations: 0.489

Conservatively estimated minimum g loading: 0.70

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.

One gets the impression that these tests do catch in some associative horizon in addition to g.

Correlation of Observed associative horizon with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(35) Intelligence Quantifier by assessment7-0.22

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.

Although this is not significant, at least it shows that the on the whole positive correlation with I.Q. scores is so far entirely due to males.

Correlation of Observed associative horizon with tests by others

(Test index) Test name n r
(208) California Test of Mental Maturity60.78
(239) Titan Test90.61
(229) Mega Test100.53
(242) Unknown tests120.51
(243) Scholastic Aptitude Test (old)60.36
(201) Wechsler Adult Intelligence Scales100.14
(220) Cattell Culture Fair70.06
(204) Chimera High Ability Riddle Test50.00
(206) W-876-0.04
(219) Graduate Record Examination5-0.12
(235) Nonverbal Cognitive Performance Examination6-0.18
(218) Raven's Advanced Progressive Matrices (I.Q.)6-0.19
(202) Cattell Verbal5-0.24
(211) Culture Fair Numerical Spatial Examination - Final version7-0.29
(212) Raven's Advanced Progressive Matrices (raw)5-0.69

Weighted average of correlations: 0.150

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.

Estimated loadings of Observed associative horizon 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 Observed associative horizon on that type
Verbal0.55
Numerical0.56
Spatial0.53
Logical0.51
Heterogeneous0.72

There is no overlap between the categories in this table as a result of leaving out compound tests.

Balanced g loading = 0.57

National means for Observed associative horizon

Country n mean score
United_Kingdom50.80
United_States270.67
Netherlands110.64
Belgium40.50
Canada30.33
Sweden30.33
Greece30.00

For reasons of privacy, only countries with 2 or more candidates are included in this table. Ranking is based on the unrounded means, and then alphabetic.

Correlation of Observed associative horizon with personal details

Personalia n r
P.S.I.A. Cold140.65
Observed behaviour450.64
P.S.I.A. Introverted140.57
Gifted Adult's Inventory of Aspergerisms100.36
P.S.I.A. System factor110.35
Disorders (parents and siblings)290.35
P.S.I.A. Rare140.33
P.S.I.A. Aspergoid140.31
P.S.I.A. Deviance factor180.26
Disorders (own)370.21
P.S.I.A. True140.19
P.S.I.A. Orderly140.19
P.S.I.A. Ethics factor180.15
P.S.I.A. Cruel140.12
P.S.I.A. Extreme140.08
Sex600.07
P.S.I.A. Rational140.04
P.S.I.A. Neurotic140.03
P.S.I.A. Antisocial14-0.02
Year of birth54-0.10
Mother's educational level27-0.11
P.S.I.A. Just14-0.14
Educational level33-0.20
Father's educational level26-0.29

The P.S.I.A. Cold and Introverted scales appear to be the best objective predictors of associative horizon.

Correlation with personal details of Observed associative horizon - within females

Personalia n r
Disorders (own)61.00
Disorders (parents and siblings)41.00
P.S.I.A. Deviance factor31.00
P.S.I.A. Ethics factor30.80
Observed behaviour50.61
Father's educational level40.10
Year of birth70.05
Educational level5-0.32
Mother's educational level4-0.33

Although not significant yet, in females disorders seem to go with associative horizon, while in males this is not so much the case.

Correlation with personal details of Observed associative horizon - within males

Personalia n r
Observed behaviour400.66
P.S.I.A. Cold120.64
P.S.I.A. Introverted120.52
P.S.I.A. Rare120.35
P.S.I.A. System factor90.32
P.S.I.A. Aspergoid120.29
Disorders (parents and siblings)250.27
Gifted Adult's Inventory of Aspergerisms70.26
P.S.I.A. Deviance factor150.20
P.S.I.A. Antisocial120.18
P.S.I.A. Cruel120.16
P.S.I.A. Orderly120.14
P.S.I.A. Rational120.11
P.S.I.A. True120.09
P.S.I.A. Ethics factor150.09
Disorders (own)310.09
P.S.I.A. Extreme12-0.02
P.S.I.A. Just12-0.03
Mother's educational level23-0.06
Year of birth47-0.14
Educational level28-0.18
P.S.I.A. Neurotic12-0.25
Father's educational level22-0.34

Correlation with national I.Q.s of Observed associative horizon

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

Norming of associative horizon scores to I.Q.

Considering the on the whole positive correlations with I.Q. test scores, it is meaningful to "norm" the assessments scores of 0 and 1 to protonorms by means of rank equation; I.Q. tests correlating .56 or higher have been used to obtain the below table.

A.H.ProtonormI.Q.
0368 (ranging 207-393)131
1484 (400-747)152