Statistics of Sigma Test (Melão Hindemburg)

Introduction

These statistics are based on scores on this test as reported by candidates taking I.Q. tests from I.Q. Tests for the High Range.

Scores on Sigma Test (Melão Hindemburg) as of 19 August 2026

Contents type: Verbal, numerical, spatial.   

• n: 57
• Median: 158.0
• Quartile deviation: 10.0
• Male median: 158.0 (n = 56)
• Proportion of males among candidates: 0.982
• Resolution: 20.0

Remark: These statistics suffer from the fact that the score reports for this test, bizarrely, give an astounding number of widely different "I.Q.'s" for one and the same test administration. Candidates may have reported any one thereof, possibly with an ever so slight bias toward the highest, which explains the ridiculously high median and obvious over-representation of scores in the 150-170 range. Basically, the scores are almost 20 points too high on average.

Correlation of Sigma Test (Melão Hindemburg) with other mental ability tests

Weighted mean of correlations: 0.470 (N = 266)

Estimated g factor loading: 0.69

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 Sigma Test (Melão Hindemburg) 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 = 197

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

Balanced g loading = 0.71

National medians for Sigma Test (Melão Hindemburg)

Total number of countries: 20

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 Sigma Test (Melão Hindemburg) with personal details

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

Correlation of Sigma Test (Melão Hindemburg) with Personality Scales for Intelligent Adults (original version)

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.

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