Statistics of Graduate Record Examination

© September 2024 Paul Cooijmans

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 Graduate Record Examination as of 5 September 2024

1130 *
1190 *
1210 *
1220 *
1240 *
1260 *
1310 **
1340 ***
1365 *
1390 *
1410 *
1420 *
1440 **
1450 ***
1460 **
1470 ***
1480 *
1490 ******
1500 ****
1510 ******
1520 **
1530 **
1540 **
1550 *****
1560 *
1570 **
1580 ****
1590 **
1600 *
1620 *

Scores by males

n = 58

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 *

Scores by females

n = 5

1500 *
1520 *
1540 *
1560 *
1580 *

Correlation of Graduate Record Examination with other mental ability tests

Test name n r
The Test To End All Tests40.99
Miller Analogies Test (raw; old version)40.98
American College Testing program90.90
Scholastic Aptitude Test (old)110.88
Miscellaneous tests90.87
Mega Test (Ronald K. Hoeflin)60.73
Qoymans Multiple-Choice #450.67
Ultra Test (Ronald K. Hoeflin)40.61
Long Test For Genius60.42
Short Test For Genius60.42
Space, Time, and Hyperspace70.36
Qoymans Multiple-Choice #260.31
The Final Test100.30
Association subtest of Long Test For Genius60.30
Analogies of Long Test For Genius60.24
Tests by Greg Grove (aggregate)40.14
Qoymans Multiple-Choice #15-0.16
Cooijmans Intelligence Test - Form 17-0.23
Qoymans Multiple-Choice #34-0.32
Genius Association Test4-0.41
Numbers5-0.44

Weighted average of correlations: 0.410 (N = 128)

Estimated g factor loading: 0.64

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: The low number of scores on other tests is caused by the fact that this test is accepted for admission to the Glia Society, and that thus qualified members tend not to engage in much further high-range testing.

Estimated loadings of Graduate Record Examination on particular item types

There is not enough data to make this significant.

National medians for Graduate Record Examination

Country n median score
India31570.0
United_States421490.0

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 Graduate Record Examination

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

Correlation of Graduate Record Examination with personal details

Personalia n r
Gifted Adult's Inventory of Aspergerisms40.59
Disorders (own)140.58
Father's educational level120.14
Educational level130.13
Observed associative horizon60.04
Year of birth510.02
Disorders (parents and siblings)12-0.09
Mother's educational level12-0.16
Sex63-0.19
Observed behaviour8-0.78

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.

Below 1st quartile0.39 (152)
Below median0.54 (171)
Above median0.46 (16)
Above 3rd quartile0.32 (5)