Analogieën - Statistics

© March 2007 Paul Cooijmans

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 2004) 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 TFG, and those that have no English versions are now revived in De Golfstroomtest.

Norms

Scores

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

Correlation with other tests

Test#cor
De Laatste Test30.99
Long Test For Genius (NL)160.92
Drenth number series50.91
Space, Time and Hyperspace170.87
The Test To End All Tests30.83
Short Test For Genius70.77
Cooijmans Intelligence Test - Form 130.7
Numbers120.69
Association subtest of Long Test For Genius (NL)170.59
Mega Test30.4
Cattell Culture Fair9-0.01
Hoeflin Power Test3-0.29
Unknown tests3-0.33

Weighted average of correlations: 0.64

Conservatively estimated minimum g loading: 0.8

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 to obtain the true, honest statistics; correlations are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

National averages

Country# scoresAverage score
Netherlands1414.4
Belgium211

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

Correlation with personal details

Personalia#cor
Father's educational level50.7
Educational level60.69
PSIA Rational30.67
PSIA Antisocial30.55
Is male170.41
PSIA Cruel30.35
Mother's educational level60.3
PSIA Cold30.21
Is resident of the European Union3-0.08
PSIA Rare3-0.25
PSIA Neurotic3-0.35
PSIA Just3-0.39
Disorders (own)6-0.4
Disorders (parents and siblings)6-0.4
PSIA Introverted3-0.5
PSIA Ethics factor4-0.63
Year of birth8-0.65
PSIA True3-0.73
PSIA Aspergoid3-0.78
PSIA Extreme3-0.83
PSIA Deviance factor4-0.9
PSIA Orderly3-0.9

Correlation with national IQs

Correlation of this test with national average IQs published by Lynn and Vanhanen:

Scores by age

Age group# testeesAverage score
40 to 44213
35 to 39418.8
30 to 34313.7
25 to 29614.5
22 to 2413
18 or 1917

Scores by year taken

Year taken# testeesAverage score
1996514.8
199727.5
1999315.7
2000119
2001115
200217
2004316.7
2005112

Correlation year taken vs average score = 0.05
n = 17

Reliability and standard error

Using the "split-half" method:

Robustness

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from testees are studied, as well as, for each problem, the correlation with total score (validity of the item in this test) 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.

Most of this report was generated by software created 2002-present by Paul Cooijmans.

Additional statistics October 2014

© October 2014 Paul Cooijmans

Scores on Analogies subtest of Long Test For Genius (Netherlandic)

Contents type: Verbal.   Period: 1996-2005

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

Scores by males

n = 13

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

Scores by females

n = 4

3 *
11 *
12 *
14 *

Correlation of Analogies subtest of Long Test For Genius (Netherlandic) with other tests by Paul Cooijmans

(Test index) Test name n r
(1) Cartoons of Shock21.00
(2) Cooijmans Intelligence Test - Form 321.00
(7) The Final Test21.00
(18) The Nemesis Test21.00
(25) The Sargasso Test21.00
(70) A-22 - Early experimental association test in Netherlandic, 27 items (maximum score 31)21.00
(78) Analogies #1 (Netherlandic)21.00
(84) Bonsai Test21.00
(65) Long Test For Genius (Netherlandic)160.92
(35) Intelligence Quantifier by assessment80.91
(57) Space, Time, and Hyperspace170.87
(28) The Test To End All Tests30.83
(6) De Laatste Test30.82
(56) Short Test For Genius70.78
(85) Cooijmans Intelligence Test - Form 130.70
(68) Numbers120.69
(81) Association subtest of Long Test For Genius (Netherlandic)170.59
(87) Cooijmans Intelligence Test - Form 22-1.00

Weighted average of correlations: 0.785

Conservatively estimated minimum g loading: 0.89

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 2 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 Analogies subtest of Long Test For Genius (Netherlandic) with tests by others

(Test index) Test name n r
(236) International High IQ Society Miscellaneous tests21.00
(209) Drenth number series60.76
(229) Mega Test30.40
(220) Cattell Culture Fair9-0.01
(233) Hoeflin Power Test3-0.29
(242) Unknown tests3-0.33
(205) Cito-toets2-1.00
(239) Titan Test2-1.00

Weighted average of correlations: 0.061

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 2 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 Analogies subtest of Long Test For Genius (Netherlandic) with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(35) Intelligence Quantifier by assessment21.00
(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
(68) Numbers3-0.01

Weighted average of correlations: 0.719

Conservatively estimated minimum g loading among females: 0.85

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 2 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 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.

Typeg loading of Analogies subtest of Long Test For Genius (Netherlandic) on that type
Verbal0.85
Numerical0.83
Spatial0.93
Heterogeneous0.84

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

Balanced g loading = 0.86

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

Country n median score
Netherlands1414.0
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 of Analogies subtest of Long Test For Genius (Netherlandic) with personal details

Personalia n r
P.S.I.A. Rational30.67
Educational level80.65
P.S.I.A. Antisocial30.55
Sex170.41
Observed behaviour50.38
P.S.I.A. Cruel30.35
Father's educational level60.35
Mother's educational level60.30
P.S.I.A. Cold30.21
Year of birth17-0.24
P.S.I.A. Rare3-0.25
P.S.I.A. Neurotic3-0.35
P.S.I.A. Just3-0.39
Disorders (own)6-0.40
Disorders (parents and siblings)6-0.40
P.S.I.A. Introverted3-0.50
P.S.I.A. Ethics factor4-0.63
P.S.I.A. True3-0.73
P.S.I.A. Aspergoid3-0.78
P.S.I.A. Extreme3-0.83
P.S.I.A. Deviance factor4-0.90
P.S.I.A. Orderly3-0.90

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:

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)
00.89 (104)NaN (0)
120.82 (70)0.80 (40)
140.81 (48)0.80 (55)
160.64 (20)0.71 (71)
50NaN (0)0.89 (104)

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

Scores by age - within females

Age class n median score
40 to 44111.0
35 to 39114.0
30 to 34112.0
22 to 2413.0

Scores by age - within males

Age class n median score
40 to 44115.0
35 to 39321.0
30 to 34214.5
25 to 29614.0
18 or 1917.0

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

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.