Statistics of Test For Genius - Revision 2004

Scores on Test For Genius - Revision 2004 as of 20 February 2023

Contents type: Verbal, spatial.   Period: 2004-2010

• n: 81
• Median: 40.0
• Quartile deviation: 9.0
• Range: 74
• Maximum possible: 96
• Male median: 40.5 (n = 80)
• Proportion of males among candidates: 0.988
• Hardness: 0.58
• Resolution: 0.61

Correlation of Test For Genius - Revision 2004 with other mental ability tests

Weighted average of correlations: 0.631 (N = 1120)

Estimated g factor loading: 0.79

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

Estimated loadings of Test For Genius - Revision 2004 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.

N = 837

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

Balanced g loading = 0.77

National medians for Test For Genius - Revision 2004

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 with national I.Q.'s of Test For Genius - Revision 2004

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

• r = 0.19 (n = 81)

Correlation of Test For Genius - Revision 2004 with personal details

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.

Reliability

• Reliability = 0.92

Computed from the subtest reliabilities using a form of the Spearman-Brown formula, taking into account a weight of 2 for the spatial section.

Error

• Standard error = 4.3 raw score points

Robustness and overall test quality

• Robustness by month = 0.70 (r_{raw scores × months} = 0.07)
• Quality = 0.753

Correlations between subtests

The correlation of a subtest with itself is the reliability coefficient for that subtest.

Loadings of subtests on the first factor

Proportion of total score variance accounted for by this factor: 0.68

Subtest statistics

For statistics on subtest level, see the statistical reports for Verbal section of Test For Genius - Revision 2004 and Spatial section of Test For Genius - Revision 2004.

[More statistical reports]