Statistics of Numerical and Spatial sections of Test For Genius - Revision 2016

Scores on Combined Numerical and Spatial sections of Test For Genius - Revision 2016 as of 9 April 2026

Contents type: Numerical, spatial.   Period: 2016-2025

• n: 99
• Median: 19.5
• Quartile deviation: 3.5
• Maximum possible: 39
• Male median: 19.8 (n = 96)
• Female median: 9.0 (n = 3)
• Proportion of males among candidates: 0.970
• Hardness: 0.50
• Resolution: 7.0

Correlation of Combined Numerical and Spatial sections of Test For Genius - Revision 2016 with other mental ability tests

Weighted mean of correlations: 0.641 (N = 1741)

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

Estimated loadings of Combined Numerical and Spatial sections of Test For Genius - Revision 2016 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 = 1380

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

Balanced g loading = 0.81

National medians for Combined Numerical and Spatial sections of Test For Genius - Revision 2016

Total number of countries: 41

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 Combined Numerical and Spatial sections of Test For Genius - Revision 2016 with personal details

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

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.

Reliability

• Expanded Spearman-Brown formula: 0.91
• Stratified alpha coefficient: 0.89

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

Error of measurement

Standard error = 2.0 raw score points

Robustness and overall test quality for Combined Numerical and Spatial sections of Test For Genius - Revision 2016

• Robustness (score trend by time measured in months) = r_{raw scores × months} = 0.16 (n = 99)
• Quality (new method) = 43.9

Correlation between subtests (internal consistency)

• Numerical × Spatial = .53

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; it concerns the subtests Numerical section of Test For Genius - Revision 2010 and Space, Time, and Hyperspace - Revision 2016, each having their own statistical report.

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