Self-estimated I.Q.'s

© April 2017 Paul Cooijmans

Introduction

Since 2013, high-range test candidates have been asked to estimate their own I.Q. on scale with a standard deviation of 15. The resulting statistics are below.

Height of the self-estimated I.Q.'s relative to test scores

The median self-estimated I.Q., 144, corresponds to protonorm 377 (I.Q. 134) when ranks of self-estimated I.Q.'s and test scores are equated. All tests for which at least two scores are known are used (for brevity, this report only lists correlations with tests with at least 3 scores). So, the self-estimated I.Q.'s are on average 10 points higher than the candidates' test scores.

Because the correlations with tests are on the whole low, it would not be meaningful to "norm" the self-estimated I.Q.'s based on those tests.

Scores on Candidate's self-estimated I.Q.

Contents type: Personal information and/or (self-)assessment.   

100 *
102 *
104 *
115 **
120 ***
121 **
125 **
126 *
130 *************
131 *
134 *
135 ***********
136 **
138 *
140 ****************
143 **
145 ***************
146 *
147 *
148 **
149 **
150 ********
151 *
153 *
154 *
155 ****
159 *
160 ***********
162 *
168 *
170 *
171 *
175 *
176 **
180 **
183 *
185 *
201 *

Scores by males

n = 105

100 *
102 *
104 *
115 *
120 ***
121 **
125 **
130 *********
131 *
134 *
135 ********
136 **
138 *
140 *************
143 **
145 ***************
146 *
147 *
148 **
149 **
150 *******
151 *
153 *
154 *
155 ****
159 *
160 ***********
162 *
168 *
170 *
171 *
176 **
180 *
183 *
185 *
201 *

Scores by females

n = 14

115 *
126 *
130 ****
135 ***
140 ***
150 *
180 *

Correlation of Candidate's self-estimated I.Q. with other tests by Paul Cooijmans

(Test index) Test name n r
(7) The Final Test30.95
(80) Qoymans Multiple-Choice #430.93
(104) The Final Test - Revision 201350.84
(66) Test For Genius - Revision 200430.80
(105) Space, Time, and Hyperspace - Revision 201650.68
(0) Test of the Beheaded Man60.62
(36) Reflections In Peroxide50.61
(103) Problems In Gentle Slopes of the second degree120.59
(109) The Bonsai Test - Revision 201650.49
(33) Problems In Gentle Slopes of the first degree60.46
(42) The Marathon Test70.45
(110) Cooijmans Intelligence Test 570.42
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010180.42
(45) Numerical and spatial sections of The Marathon Test90.40
(44) Associative LIMIT100.34
(10) Genius Association Test110.31
(27) Spatial section of Test For Genius - Revision 2004210.31
(1) Cartoons of Shock130.29
(18) The Nemesis Test70.29
(30) Verbal section of The Marathon Test90.26
(31) Numerical section of The Marathon Test100.23
(48) Narcissus' last stand40.22
(32) Spatial section of The Marathon Test100.21
(24) Reason - Revision 2008180.20
(11) Isis Test90.16
(26) Verbal section of Test For Genius - Revision 2004150.15
(40) Reason Behind Multiple-Choice - Revision 2008180.14
(2) Cooijmans Intelligence Test - Form 3410.13
(5) Daedalus Test40.05
(3) Qoymans Multiple-Choice #5180.01
(16) Lieshout International Mesospheric Intelligence Test12-0.05
(19) Numerical section of Test For Genius - Revision 201024-0.07
(28) The Test To End All Tests4-0.09
(107) The Alchemist Test8-0.14
(23) Gliaweb Riddled Intelligence Test - Revision 201146-0.15
(106) Cooijmans Intelligence Test - Form 421-0.18
(35) Intelligence Quantifier by assessment10-0.22
(43) Test For Genius - Revision 20109-0.25
(12) Cooijmans On-Line Test - Two-barrelled version8-0.31
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude4-0.32
(25) The Sargasso Test8-0.36
(46) Labyrinthine LIMIT3-0.40
(37) Problems In Gentle Slopes of the third degree7-0.43
(15) Letters5-0.50
(41) The LAW - Letters And Words5-0.55
(29) Words5-0.58
(53) Qoymans Multiple-Choice #33-0.76

Weighted average of correlations: 0.110

Conservatively estimated minimum g loading: 0.33

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

Correlation of Candidate's self-estimated I.Q. with tests by others

(Test index) Test name n r
(248) Gliaweb Riddled Intelligence Test (old version)31.00
(234) Strict Logic Sequences Exam I70.87
(201) Wechsler Adult Intelligence Scales50.83
(242) Unknown and miscellaneous tests300.62
(218) Raven's Advanced Progressive Matrices (I.Q.)3-0.58
(247) Advanced Intelligence Test3-0.94
(240) Strict Logic Spatial Exam 483-1.00

Weighted average of correlations: 0.448

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 3 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.

Correlation of Candidate's self-estimated I.Q. with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(25) The Sargasso Test21.00
(26) Verbal section of Test For Genius - Revision 200421.00
(30) Verbal section of The Marathon Test21.00
(31) Numerical section of The Marathon Test21.00
(32) Spatial section of The Marathon Test21.00
(42) The Marathon Test21.00
(45) Numerical and spatial sections of The Marathon Test21.00
(106) Cooijmans Intelligence Test - Form 421.00
(1) Cartoons of Shock40.56
(2) Cooijmans Intelligence Test - Form 360.48
(23) Gliaweb Riddled Intelligence Test - Revision 201150.25

Weighted average of correlations: 0.721

Conservatively estimated minimum g loading among females: 0.85

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.

Estimated loadings of Candidate's self-estimated I.Q. 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.

Typeg loading of Candidate's self-estimated I.Q. on that type
Verbal0.24
Numerical0.28
Spatial0.52
Logical0.42
Heterogeneous0.27

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

Balanced g loading = 0.34

National medians for Candidate's self-estimated I.Q.

Country n median score
Finland2161.5
India3160.0
Turkey3160.0
China5150.0
Greece2146.5
Austria3145.0
Poland2145.0
United_Kingdom3143.0
France2142.5
South_Africa4140.5
Germany9140.0
Italy7140.0
Korea_South4140.0
United_States35140.0
Canada4137.5
Sweden8137.5
Spain8135.0
Denmark2119.5

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 Candidate's self-estimated I.Q.

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

Correlation of Candidate's self-estimated I.Q. with personal details

Personalia n r
Cooijmans Inventory of Neo-Marxist Attitudes100.34
P.S.I.A. Neurotic200.33
P.S.I.A. Rare200.27
P.S.I.A. System factor190.20
Sex1190.15
P.S.I.A. Cruel200.15
Educational level1190.14
Disorders (own)1200.14
P.S.I.A. Orderly200.14
P.S.I.A. Cold200.14
P.S.I.A. Antisocial200.13
P.S.I.A. True200.12
Father's educational level1160.10
P.S.I.A. Aspergoid200.07
P.S.I.A. Introverted200.07
P.S.I.A. Ethics factor210.05
P.S.I.A. Just200.03
P.S.I.A. Deviance factor210.02
Mother's educational level1160.01
Observed behaviour12-0.06
Observed associative horizon5-0.07
P.S.I.A. Rational20-0.08
P.S.I.A. Extreme20-0.08
Disorders (parents and siblings)119-0.10
Year of birth120-0.13
Gifted Adult's Inventory of Aspergerisms17-0.20

Correlation with personal details of Candidate's self-estimated I.Q. - within females

Personalia n r
Educational level140.37
Disorders (own)140.31
Father's educational level140.25
Mother's educational level140.20
Year of birth14-0.24
Disorders (parents and siblings)14-0.25

Correlation with personal details of Candidate's self-estimated I.Q. - within males

Personalia n r
P.S.I.A. Neurotic180.36
Cooijmans Inventory of Neo-Marxist Attitudes100.34
P.S.I.A. Rare180.31
P.S.I.A. Orderly180.21
P.S.I.A. System factor170.19
P.S.I.A. True180.17
Educational level1050.16
P.S.I.A. Cold180.13
P.S.I.A. Ethics factor190.11
Father's educational level1020.11
Disorders (own)1050.10
P.S.I.A. Cruel180.10
P.S.I.A. Antisocial180.10
P.S.I.A. Introverted180.09
P.S.I.A. Aspergoid180.08
P.S.I.A. Deviance factor190.03
Mother's educational level102-0.00
Observed behaviour12-0.06
Disorders (parents and siblings)105-0.07
P.S.I.A. Just18-0.07
P.S.I.A. Extreme18-0.08
P.S.I.A. Rational18-0.09
Year of birth105-0.12
Observed associative horizon4-0.20
Gifted Adult's Inventory of Aspergerisms14-0.35

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)
990.33 (494)NaN (0)
1270.31 (421)-0.34 (30)
135.5-0.05 (292)-0.25 (172)
144-0.11 (230)0.16 (238)
152.50.25 (71)0.38 (377)
1610.60 (22)0.32 (440)
202NaN (0)0.33 (494)