Statistics of Graduate Record Examination

© January 2020 Paul Cooijmans


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 Graduate Record Examination as of 21 January 2020

1130 *
1190 *
1210 *
1220 *
1240 *
1260 *
1310 **
1340 ***
1365 *
1390 *
1410 *
1420 *
1440 **
1450 ***
1460 **
1470 ***
1480 *
1490 ******
1500 ****
1510 ******
1520 *
1530 **
1540 **
1550 *****
1570 **
1580 ***
1590 **
1600 *
1620 *

Correlation of Graduate Record Examination with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(80) Qoymans Multiple-Choice #440.50
(35) Intelligence Quantifier by assessment60.49
(63) Long Test For Genius60.42
(56) Short Test For Genius60.42
(57) Space, Time, and Hyperspace70.36
(52) Qoymans Multiple-Choice #260.31
(7) The Final Test100.30
(79) Association subtest of Long Test For Genius60.30
(75) Analogies of Long Test For Genius60.24
(51) Qoymans Multiple-Choice #15-0.16
(85) Cooijmans Intelligence Test - Form 17-0.23
(53) Qoymans Multiple-Choice #34-0.32
(10) Genius Association Test4-0.41
(68) Numbers5-0.44

Weighted average of correlations: 0.159 (N = 82, weighted sum = 13.06)

Conservatively estimated minimum g loading: 0.40

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.

Remark: These statistics suffer from a lack of known scores on other tests; insofar as there is data, the test correlates lowly with high-range tests and highly with other college tests. An anecdotal impression regarding this test is that it only provides a good indication of general intelligence when taken in its proper context, as a university admission test. When people take this test purposely (and repeatedly, which is possible) to qualify for I.Q. societies, somehow it stops functioning as a usable indicator of intelligence and gives too high scores.

Correlation of Graduate Record Examination with tests by others

(Test index) Test name n r
(228) Miller Analogies Test (raw; old version)40.98
(200) American College Testing program80.89
(231) Mysterium Entrance Exam40.87
(243) Scholastic Aptitude Test (old)100.84
(242) Unknown and miscellaneous tests120.79
(229) Mega Test50.65

Weighted average of correlations: 0.830 (N = 43, weighted sum = 35.70)

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.

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.

Estimated loadings of Graduate Record Examination 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.

Typeng loading of Graduate Record Examination on that type

N = 70

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

Balanced g loading = 0.14

National medians for Graduate Record Examination

Country n median score

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 with national I.Q.'s of Graduate Record Examination

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

Correlation of Graduate Record Examination with personal details

Personalia n r
Disorders (own)130.54
Educational level120.32
Father's educational level110.16
Year of birth480.05
Disorders (parents and siblings)11-0.05
Observed associative horizon5-0.12
Mother's educational level11-0.20
Observed behaviour7-0.76

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.

Raw scoreUpward g (n)Downward g (n)
4000.47 (110)NaN (0)
1390-0.24 (33)-0.43 (61)
14400.54 (16)0.09 (89)
1490-0.58 (6)0.46 (104)
1620NaN (0)0.47 (110)