Statistics of Retroactively constructed heterogeneous test 6SIT+QMC4

© Paul Cooijmans

Introduction

These scores are a sum of one's scores on the Spatial Insight Test (weighted by 6) and Qoymans Multiple-Choice #4 (in a few cases Q.M.C. #3 was used, in one case Q.M.C. #5). This provides some candidates with a heterogeneous test score who would otherwise not have one, and thus increases the number of scores that can be used in meta-reports that use only heterogeneous scores, such as the norming of the protonorm table.

Scores on Retro-actively constructed heterogeneous test 6SIT+QMC4 as of 22 August 2026

Contents type: Verbal, spatial.   Period: 2003-2008

19 *
55 *
90 *
101 *
103 *
104 *
110 *
116 *
117 *
118 *
126 *
127 *
131 *
132 **
144 *
148 *
152 *
162 *

Correlation of Retro-actively constructed heterogeneous test 6SIT+QMC4 with other mental ability tests

Test name n rp value
Qoymans Multiple-Choice #3 (batch scored by Paul Cooijmans)50.990.05
Long Test For Genius40.980.09
Spatial Insight Test190.970.00004
The Nemesis Test30.940.18
Test of the Beheaded Man50.940.06
Non-Verbal Cognitive Performance Examination (Xavier Jouve)50.930.06
Qoymans Multiple-Choice #4140.930.0009
Association subtest of Long Test For Genius50.900.07
Cooijmans On-Line Test30.880.22
Logima Strictica 36 (Robert Lato)60.870.05
916 Test (Laurent Dubois)30.840.25
Space, Time, and Hyperspace60.830.06
Sigma Test (Melão Hindemburg)40.830.15
Test of Shock and Awe60.800.08
Qoymans Multiple-Choice #230.800.26
The Test To End All Tests50.790.12
The Final Test90.790.03
Culture Fair Numerical Spatial Examination - Final version (Etienne Forsström)30.780.27
Numerical Insight Test60.750.10
Strict Logic Spatial Examination 48 (Jonathan Wai)60.740.10
Reason Behind Multiple-Choice100.690.04
The Sargasso Test40.690.24
Lieshout International Mesospheric Intelligence Test100.690.04
Daedalus Test30.670.34
Odds30.670.36
Analogies of Long Test For Genius50.650.19
Cooijmans Intelligence Test - Form 270.630.12
Associative LIMIT80.520.17
Numbers50.480.34
Miscellaneous tests90.480.17
Strict Logic Sequences Examination I (Jonathan Wai)80.470.22
Cartoons of Shock50.440.38
Qoymans Multiple-Choice #560.440.34
Genius Association Test80.430.26
Strict Logic Sequences Examination II (Jonathan Wai)30.400.57
Reason Behind Multiple-Choice - Revision 200860.330.46
Reason100.300.37
Test For Genius - Revision 200470.280.48
Verbal section of Test For Genius - Revision 200470.260.52
Spatial section of Test For Genius - Revision 200470.220.60
Reason - Revision 20086-0.040.94
Tests by Greg Grove (aggregate)4-0.410.48
Bonsai Test4-0.750.19

Weighted mean of correlations: 0.615 (N = 265)

Estimated g factor loading: 0.78

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

Estimated loadings of Retro-actively constructed heterogeneous test 6SIT+QMC4 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 Retro-actively constructed heterogeneous test 6SIT+QMC4 on that type
Verbal670.84
Numerical250.75
Spatial540.88
Logical220.58
Heterogeneous490.80

N = 217

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

Balanced g loading = 0.77

National medians for Retro-actively constructed heterogeneous test 6SIT+QMC4

Country n median score
United_States3132.0
Finland3110.0
Sweden3103.0

Total number of countries: 12

For reasons of privacy, only countries with 3 or more candidates are included in this table. Ranking is based on the medians, and then alphabetic.

Correlation of Retro-actively constructed heterogeneous test 6SIT+QMC4 with personal details

Notice: A correlation is generally considered significant if its p value is 0.05 or less.

Personalia n rp value
Educational level180.340.16
Father's educational level170.140.57
Gifted Adult's Inventory of Aspergerisms50.090.84
Sex19-0.120.62
Mother's educational level17-0.180.48
Disorders (own)18-0.240.32
Year of birth19-0.410.08
Disorders (parents and siblings)18-0.470.05
Observed behaviour4-0.710.22

Estimated g factor loadings for restricted ranges

The goal of estimated g factor loadings for restricted ranges 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 these values to be lower than the test's full-range g loading.

Below 1st quartile (103.0)0.37 (N = 58)
Below median (118.0)0.72 (N = 144)
Above median (118.0)0.50 (N = 125)
Above 3rd quartile (132.0)0.62 (N = 81)

Reliability

These are computed from statistics like subtest reliabilities, subtest variances, and total test variance.

Error of measurement

Standard error = 10.0 raw score points

Correlation between subtests

Ideal values for correlations between subtests are around .5, thus being a compromise between the test's ability to yield a "profile" and its ability to provide an indication of general intelligence. With a too high correlation (like .8 or higher) the subtests measure basically the same so there is almost no profile information in them, with a too low correlation (like .2 or lower) the subtests are so different that there is little point in combining them into a measure of general intelligence.

For the correlations of the subtests with total score, see the correlations table above in this report. For statistics per subtest, see the statistical reports of the pertinent subtests.

Robustness and overall test quality for Qoymans Multiple-Choice #4