Analogieën - Statistics

© Paul Cooijmans

Introduction

This is the analogies subtest of the Netherlandic version of the Long Test For Genius, no longer in use. Currently only the English version of the Test For Genius (Revision 2016) is in use, to prevent candidates from comparing the different language versions to thus gain an advantage. Also, there was very little interest in the non-English versions.

The lack of interest is regrettable, since the problems of the Netherlandic verbal subtests, just as those of the non-verbal subtests, are of an exceptional quality. Some of them live on in the English Test For Genuis, and those that have no English versions are now revived in De Golfstroomtest - Revision 2019.

Scores on Analogies subtest of Long Test For Genius (Netherlandic) as of 9 February 2023

Contents type: Verbal.   Period: 1996-2005

3 *
7 *
10 **
11 *
12 **
13 *
14 **
15 ***
19 *
21 *
22 *
26 *

Correlation of Analogies subtest of Long Test For Genius (Netherlandic) with other mental ability tests

Test name n r
De Laatste Test30.99
Long Test For Genius (Netherlandic)160.92
Space, Time, and Hyperspace170.87
The Test To End All Tests30.83
Short Test For Genius70.78
Drenth number series60.76
Cooijmans Intelligence Test - Form 130.70
Numbers120.69
Association subtest of Long Test For Genius (Netherlandic)170.59
Mega Test (Ronald K. Hoeflin)30.40
Unknown and miscellaneous tests100.38
Cattell Culture Fair9-0.01
Hoeflin Power Test (Ronald K. Hoeflin)3-0.29

Weighted average of correlations: 0.638 (N = 109, weighted sum = 70)

Estimated g factor loading: 0.80

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.

Correlation of Analogies subtest of Long Test For Genius (Netherlandic) with other tests - for females

Test name n r
(65) Long Test For Genius (Netherlandic)30.90
(57) Space, Time, and Hyperspace40.87
(81) Association subtest of Long Test For Genius (Netherlandic)40.84
(220) Cattell Culture Fair30.53
(68) Numbers3-0.01

Weighted average of correlations: 0.652 (N = 17, weighted sum = 11.08)

Estimated g factor loading among females: 0.81

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 Analogies subtest of Long Test For Genius (Netherlandic) 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 Analogies subtest of Long Test For Genius (Netherlandic) on that type
Verbal230.82
Numerical180.84
Spatial170.93
Heterogeneous160.70

N = 74

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

Balanced g loading = 0.83

National medians for Analogies subtest of Long Test For Genius (Netherlandic)

Country n median score
Netherlands1514.0
Belgium211.0

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 national I.Q.'s of Analogies subtest of Long Test For Genius (Netherlandic)

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

Correlation of Analogies subtest of Long Test For Genius (Netherlandic) with personal details

Personalia n r
Educational level90.71
Sex170.41
Observed behaviour50.38
Father's educational level60.35
Mother's educational level60.30
Year of birth17-0.24
Disorders (own)7-0.25
Disorders (parents and siblings)6-0.40

Correlation with personal details of Analogies subtest of Long Test For Genius (Netherlandic) - within females

Personalia n r
Year of birth4-0.62

Correlation with personal details of Analogies subtest of Long Test For Genius (Netherlandic) - within males

Personalia n r
Educational level70.76
Father's educational level50.33
Mother's educational level50.25
Disorders (own)5-0.34
Year of birth13-0.37
Disorders (parents and siblings)5-0.57

Estimated g factor loadings for restricted ranges

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 these values to be lower than the test's full-range g loading.

Below 1st quartile0.60 (27)
Below median0.62 (67)
Above median0.84 (64)
Above 3rd quartile0.89 (51)

Reliability

Error

Scores by age

Age class n Median score
40 to 44213.0
35 to 39417.5
30 to 34312.0
25 to 29614.0
22 to 2413.0
18 or 1917.0

N = 17

Scores by year taken

Year taken n median score
1996513.0
199727.5
1999315.0
2000119.0
2001115.0
200217.0
2004315.0
2005112.0

ryear taken × median score = 0.09 (N = 17)

Robustness and overall test quality

  • Robustness by month = 0.67 (rraw scores × months = 0.09)
  • Quality = 0.638
  • Item analysis

    Item statistics are not published as that would help candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score on the remaining problems (item-rest correlation) and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are revised, replaced, or removed, possibly resulting in a revised version of the test.