Association Test Statistics

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:

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

Scores on Association subtest of Long Test For Genius

Contents type: Verbal.   Period: 1995-2004

• n: 109
• Median: 14.0
• Quartile deviation: 3.5
• Range: 30
• Maximum possible: 39
• Male median: 14.0 (n = 102)
• Female median: 15.0 (n = 7)
• Hardness: 0.64
• Resolution: 0.38

Scores by males

n = 102

Scores by females

n = 7

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

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

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

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.

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

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

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:

• r = 0.17 (n = 92)

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.

Reliability

• Split-half (odd-even) = 0.85
• Split-half (other division) = 0.88
• Cronbach's alpha = 0.75

Error

• Standard error = 2.7 raw score points

Scores by age

Scores by age - within females

Scores by age - within males

Scores by year taken

r_{year taken × median score} = 0.34 (n = 107)

Robustness and overall test quality

• Robustness by month = 0.66
• Quality = 0.63

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.