Statistics of Raven's Advanced Progressive Matrices (reported raw scores)

Introduction

Scores from this test are sometimes reported as "I.Q." with a standard deviation of 24, and sometimes as raw scores out of 36. This report deals with the raw scores.

Notilce that the candidates reporting raw scores are not the same individuals as those reporting "I.Q."'s (although a few report both so there is a small overlap). So the scores in this report are from a different group than those in the report dealing with R.A.P.M. I.Q.'s.

Scores on Raven's Advanced Progressive Matrices (raw) as of 16 February 2023

• n: 49
• Median: 35.0
• Quartile deviation: 1.5
• Range: 10
• Maximum possible: 36
• Male median: 35.0 (n = 47)
• Female median: 31.5 (n = 2)
• Proportion of males among candidates: 0.959
• Hardness: 0.06
• Resolution: 0.25

It is obvious this test too easy for those taking high-range tests and there is a strong ceiling effect.

Correlation of Raven's Advanced Progressive Matrices (raw) with other mental ability tests

Weighted average of correlations: 0.181 (N = 259)

Estimated g factor loading: 0.43

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.

The correlation with high-range tests is on the whole very low. This may be caused by factors like a lack of hard enough problems, a few bad items, a few errors in the scoring key (not at all uncommon with psychological tests), inconsistent testing conditions, or fraud. It is chilling to consider that this test has been used for admission to I.Q. societies for decades while obviously failing woefully to measure intelligence in the high range.

Estimated loadings of Raven's Advanced Progressive Matrices (raw) 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 = 174

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

Balanced g loading = 0.39

National means for Raven's Advanced Progressive Matrices (raw)

For reasons of privacy, only countries with 3 or more candidates are included in this table. Ranking is based on the unrounded means, and then alphabetic.

Correlation with national I.Q.'s of Raven's Advanced Progressive Matrices (raw)

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

• r = -0.19 (n = 43)

Correlation of Raven's Advanced Progressive Matrices (raw) 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.

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