Statistics of Scholastic Aptitude Test (old)

© January 2020 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 Scholastic Aptitude Test (old) as of 22 January 2020

960 *
1016 *
1100 *
1140 *
1160 *
1166 *
1190 *
1200 **
1220 *
1230 *
1250 *
1275 *
1280 **
1300 *
1330 **
1345 *
1350 ***
1360 *
1370 *
1380 *
1400 *
1420 *
1430 **
1440 *
1460 **
1470 *****
1478 **
1480 **
1490 ****
1500 *
1502 *
1510 **
1511 **
1540 *
1550 *
1560 *
1570 *
1580 *

Scores by males

n = 50

960 *
1016 *
1100 *
1140 *
1160 *
1166 *
1190 *
1200 **
1230 *
1250 *
1275 *
1280 *
1300 *
1330 **
1345 *
1350 ***
1360 *
1370 *
1380 *
1400 *
1420 *
1430 **
1440 *
1460 *
1470 *****
1478 **
1480 **
1490 ****
1510 **
1511 **
1540 *
1550 *
1570 *
1580 *

Scores by females

n = 4

1220 *
1280 *
1500 *
1502 *

Correlation of Scholastic Aptitude Test (old) with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(26) Verbal section of Test For Genius - Revision 200440.83
(79) Association subtest of Long Test For Genius60.78
(7) The Final Test100.74
(66) Test For Genius - Revision 200440.69
(35) Intelligence Quantifier by assessment70.65
(75) Analogies of Long Test For Genius60.62
(62) Reason Behind Multiple-Choice40.59
(63) Long Test For Genius60.58
(28) The Test To End All Tests50.57
(52) Qoymans Multiple-Choice #2110.51
(85) Cooijmans Intelligence Test - Form 170.48
(80) Qoymans Multiple-Choice #480.44
(51) Qoymans Multiple-Choice #190.31
(82) Reason40.25
(57) Space, Time, and Hyperspace80.18
(18) The Nemesis Test40.05
(11) Isis Test4-0.10
(27) Spatial section of Test For Genius - Revision 20044-0.17
(10) Genius Association Test5-0.43
(68) Numbers4-0.70

Weighted average of correlations: 0.392 (N = 120, weighted sum = 47.01)

Conservatively estimated minimum g loading: 0.63

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.

Correlation of Scholastic Aptitude Test (old) with tests by others

(Test index) Test name n r
(200) American College Testing program100.94
(219) Graduate Record Examination100.84
(241) Ultra Test60.82
(201) Wechsler Adult Intelligence Scales60.55
(228) Miller Analogies Test (raw; old version)50.54
(229) Mega Test60.51
(242) Unknown and miscellaneous tests160.28

Weighted average of correlations: 0.616 (N = 59, weighted sum = 36.32)

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 Scholastic Aptitude Test (old) 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 Scholastic Aptitude Test (old) on that type
Verbal640.70
Numerical4-0.84
Spatial120.25
Logical40.50
Heterogeneous150.46

N = 99

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

Balanced g loading = 0.22

National medians for Scholastic Aptitude Test (old)

Country n median score
United_Kingdom21525.0
United_States381390.0
Canada21313.0

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 Scholastic Aptitude Test (old)

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

Correlation of Scholastic Aptitude Test (old) with personal details

Personalia n r
Mother's educational level170.46
Observed associative horizon70.39
Educational level180.20
Disorders (own)190.13
Father's educational level160.03
Sex54-0.00
Year of birth44-0.10
Disorders (parents and siblings)18-0.42
Gifted Adult's Inventory of Aspergerisms4-0.50
Observed behaviour10-0.65

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)
4000.62 (143)NaN (0)
12200.67 (106)0.83 (15)
1325-0.24 (69)-0.45 (57)
1430-0.35 (49)0.50 (89)
15350.00 (4)0.54 (124)
1600NaN (0)0.62 (143)