American College Testing program statistics

Paul Cooijmans

Introduction

These are statistics based on the A.C.T. scores reported by test candidates.

Scores on American College Testing program as of 7 June 2022

21 *
23 *
24 *
25 *
27 *
28 **
29 ***
30 ****
31 **
32 ****
33 ******
34 ****
35 **
36 *

Scores by males

n = 26

21 *
24 *
25 *
28 *
29 **
30 ****
31 **
32 ****
33 ******
34 *
35 **
36 *

Scores by females

n = 7

23 *
27 *
28 *
29 *
34 ***

Correlation of American College Testing program with other tests by I.Q. Tests for the High Range

(Test index) Test name n r
(10) Genius Association Test21.00
(26) Verbal section of Test For Genius - Revision 200421.00
(28) The Test To End All Tests21.00
(51) Qoymans Multiple-Choice #131.00
(62) Reason Behind Multiple-Choice21.00
(82) Reason21.00
(116) Gliaweb Riddled Intelligence Test (old version)21.00
(52) Qoymans Multiple-Choice #260.92
(79) Association subtest of Long Test For Genius40.58
(87) Cooijmans Intelligence Test - Form 240.56
(75) Analogies of Long Test For Genius40.38
(63) Long Test For Genius40.27
(57) Space, Time, and Hyperspace70.21
(80) Qoymans Multiple-Choice #480.15
(7) The Final Test4-0.10
(68) Numbers3-0.28
(53) Qoymans Multiple-Choice #35-0.68
(27) Spatial section of Test For Genius - Revision 20042-1.00
(66) Test For Genius - Revision 20042-1.00
(77) Analogies #12-1.00
(85) Cooijmans Intelligence Test - Form 12-1.00

Weighted average of correlations: 0.245 (N = 72, weighted sum = 17.66)

Conservatively estimated minimum g loading: 0.50

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 2 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Correlation of American College Testing program with tests by others

(Test index) Test name n r
(228) Miller Analogies Test (raw; old version)21.00
(229) Mega Test21.00
(231) Mysterium Entrance Exam21.00
(236) International High IQ Society Miscellaneous tests31.00
(241) Ultra Test21.00
(243) Scholastic Aptitude Test (old)100.94
(219) Graduate Record Examination80.89
(244) Scholastic Aptitude Test (new)50.40
(242) Unknown and miscellaneous tests13-0.15
(208) California Test of Mental Maturity2-1.00
(211) Culture Fair Numerical Spatial Examination - Final version2-1.00
(230) Omega Contemplative Items Pool2-1.00

Weighted average of correlations: 0.409 (N = 53, weighted sum = 21.65)

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 2 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 American College Testing program 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 American College Testing program on that type
Verbal420.57
Numerical3-0.53
Spatial9-0.24
Logical21.00
Heterogeneous80.53

N = 64

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

Balanced g loading = 0.27

National medians for American College Testing program

Country n median score
United_States2532.0

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 American College Testing program

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

Correlation of American College Testing program with personal details

Personalia n r
Father's educational level130.17
Year of birth270.15
Sex330.12
Educational level17-0.04
Disorders (own)17-0.22
Disorders (parents and siblings)17-0.24
Observed associative horizon4-0.26
Observed behaviour4-0.26
Mother's educational level15-0.29
Gifted Adult's Inventory of Aspergerisms5-0.62

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)
00.50 (72)NaN (0)
280.54 (57)-0.77 (10)
300.10 (38)0.48 (37)
320.31 (14)0.41 (52)
36NaN (0)0.50 (72)