Statistics of Intelligence Quantifier by assessment

© October 2014 Paul Cooijmans

Introduction

This report contains statistics of Intelligence Quantifiers (I.Q.'s) established via a combination of observation, interview, experiment, and testing. While strictly speaking not psychometrics, this approach is extremely robust against score inflation, fraud, answer leakage and the like, as well as population-independent. The latter means that these I.Q.'s are able to reveal possible changes over time of a population distribution, such as average or spread, as the I.Q.'s are not relative to any population. For clarity, I.Q.'s that are normed on a population can not reflect any such changes, as they go along with those changes and thus hide them.

Norms

The relation of I.Q. with protonorms and other norms is shown in the protonorm table. The assessed I.Q.'s may be used in future adjustments of the relation between protonorms and norms, to help keep that relation stable over time and population-independent.

Scores on Intelligence Quantifier by assessment

Contents type: Assessment.   Period: 2010-present

78 *
80 *
90 *
95 *
105 **
107 *
109 *
110 *
112 *
115 *
118 *
120 **
121 *
125 ****
126 **
127 *
128 **
129 ***
130 ********
131 *
132 ***
134 *****
135 ***
136 **
137 ****
138 ***
139 *******
140 ********
141 **
142 *
143 ******
144 *
145 *
146 **
147 ***
148 *****
149 **
150 ***
151 **
152 *
153 *
154 *
155 *
158 *
159 *
160 ***
161 *
165 **
167 *
168 *
170 *
172 *
174 *
175 *
176 *
180 *
183 *

Scores by males

n = 98

78 *
95 *
105 **
107 *
109 *
112 *
115 *
118 *
120 *
121 *
125 ****
126 **
127 *
129 ***
130 ****
132 **
134 ****
135 ***
136 **
137 ***
138 ***
139 *******
140 ******
141 **
142 *
143 ******
144 *
145 *
146 *
147 ***
148 ****
149 *
150 **
151 *
152 *
153 *
154 *
155 *
159 *
160 ***
161 *
165 **
167 *
168 *
170 *
172 *
174 *
175 *
176 *
180 *
183 *

Scores by females

n = 22

80 *
90 *
110 *
120 *
128 **
130 ****
131 *
132 *
134 *
137 *
140 **
146 *
148 *
149 *
150 *
151 *
158 *

Correlation of Intelligence Quantifier by assessment with other tests by Paul Cooijmans

(Test index) Test name n r
(65) Long Test For Genius (Netherlandic)80.97
(23) Gliaweb Riddled Intelligence Test - Revision 201160.97
(56) Short Test For Genius150.95
(77) Analogies #150.92
(42) The Marathon Test60.92
(63) Long Test For Genius160.92
(76) Analogies subtest of Long Test For Genius (Netherlandic)80.91
(31) Numerical section of The Marathon Test60.91
(53) Qoymans Multiple-Choice #390.90
(45) Numerical and spatial sections of The Marathon Test60.90
(85) Cooijmans Intelligence Test - Form 1140.90
(30) Verbal section of The Marathon Test80.89
(55) Spatial Insight Test50.89
(66) Test For Genius - Revision 2004170.88
(18) The Nemesis Test170.87
(32) Spatial section of The Marathon Test60.87
(48) Narcissus' last stand60.87
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201090.86
(43) Test For Genius - Revision 201070.86
(104) The Final Test - Revision 201360.85
(0) Test of the Beheaded Man90.85
(26) Verbal section of Test For Genius - Revision 2004240.84
(70) A-22 - Early experimental association test in Netherlandic, 27 items (maximum score 31)50.84
(28) The Test To End All Tests230.84
(21) Psychometric Qrosswords70.83
(5) Daedalus Test60.83
(1) Cartoons of Shock140.82
(3) Qoymans Multiple-Choice #5190.81
(57) Space, Time, and Hyperspace290.81
(7) The Final Test260.80
(75) Analogies of Long Test For Genius170.80
(79) Association subtest of Long Test For Genius200.80
(2) Cooijmans Intelligence Test - Form 3160.80
(87) Cooijmans Intelligence Test - Form 2110.79
(36) Reflections In Peroxide60.79
(62) Reason Behind Multiple-Choice100.79
(54) Test of Shock and Awe50.78
(40) Reason Behind Multiple-Choice - Revision 2008190.77
(44) Associative LIMIT110.75
(68) Numbers300.73
(15) Letters50.73
(27) Spatial section of Test For Genius - Revision 2004250.71
(80) Qoymans Multiple-Choice #4190.71
(25) The Sargasso Test100.71
(74) Cooijmans On-Line Test60.67
(10) Genius Association Test210.66
(41) The LAW - Letters And Words50.66
(11) Isis Test150.64
(33) Problems In Gentle Slopes of the first degree60.64
(24) Reason - Revision 2008190.64
(16) Lieshout International Mesospheric Intelligence Test180.63
(67) A-18 - Early experimental association test in Netherlandic60.62
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude70.62
(84) Bonsai Test90.61
(82) Reason120.56
(81) Association subtest of Long Test For Genius (Netherlandic)100.54
(19) Numerical section of Test For Genius - Revision 201090.54
(69) Odds60.50
(12) Cooijmans On-Line Test (Two-barrelled)90.45
(83) KIT Intelligence Test - first attempts70.32
(51) Qoymans Multiple-Choice #180.19
(29) Words7-0.34

Weighted average of correlations: 0.754

Conservatively estimated minimum g loading: 0.87

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Correlation of Intelligence Quantifier by assessment with tests by others

(Test index) Test name n r
(243) Scholastic Aptitude Test (old)60.93
(241) Ultra Test70.78
(239) Titan Test110.77
(204) Chimera High Ability Riddle Test60.73
(211) Culture Fair Numerical Spatial Examination - Final version100.69
(208) California Test of Mental Maturity70.69
(229) Mega Test110.67
(200) American College Testing program50.67
(219) Graduate Record Examination50.54
(246) Sequentia Numerica Form I60.52
(238) 916 Test50.51
(242) Unknown tests250.48
(202) Cattell Verbal60.32
(225) Logima Strictica 36120.29
(235) Nonverbal Cognitive Performance Examination80.24
(201) Wechsler Adult Intelligence Scales120.16
(206) W-876-0.03
(236) International High IQ Society Miscellaneous tests7-0.11
(220) Cattell Culture Fair17-0.13
(234) Strict Logic Sequences Exam I9-0.19
(218) Raven's Advanced Progressive Matrices (I.Q.)11-0.30
(231) Mysterium Entrance Exam7-0.30
(212) Raven's Advanced Progressive Matrices (raw)8-0.38

Weighted average of correlations: 0.302

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

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 Intelligence Quantifier by assessment with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(0) Test of the Beheaded Man21.00
(2) Cooijmans Intelligence Test - Form 321.00
(10) Genius Association Test21.00
(28) The Test To End All Tests21.00
(55) Spatial Insight Test21.00
(56) Short Test For Genius21.00
(63) Long Test For Genius21.00
(65) Long Test For Genius (Netherlandic)21.00
(75) Analogies of Long Test For Genius21.00
(76) Analogies subtest of Long Test For Genius (Netherlandic)21.00
(79) Association subtest of Long Test For Genius21.00
(80) Qoymans Multiple-Choice #421.00
(87) Cooijmans Intelligence Test - Form 221.00
(100) Early experimental association test in Netherlandic, 21 items21.00
(57) Space, Time, and Hyperspace40.96
(7) The Final Test30.94
(68) Numbers50.84
(81) Association subtest of Long Test For Genius (Netherlandic)30.55
(67) A-18 - Early experimental association test in Netherlandic3-0.54

Weighted average of correlations: 0.845

Conservatively estimated minimum g loading among females: 0.92

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 to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Note: The threshold was set to 2 pairs per test because of the smaller amount of data for females. That the g loading within females is higher than among all candidates combined need not be significant yet, although the same has been observed in the several other tests for which it has been possible to compute the within-females g loading so far.

Estimated loadings of Intelligence Quantifier by assessment 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 Intelligence Quantifier by assessment on that type
Verbal0.86
Numerical0.83
Spatial0.87
Logical0.80
Heterogeneous0.88

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

Balanced g loading = 0.85

National medians for Intelligence Quantifier by assessment

Country n median score
United_Kingdom3167.0
Finland3152.0
Belgium6150.5
Canada2148.5
Germany7140.0
Sweden6138.5
United_States34138.5
Greece6136.5
South_Africa2136.0
New_Zealand2135.0
Netherlands32134.0
India2130.0
France2126.5

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 of Intelligence Quantifier by assessment with personal details

Personalia n r
Candidate's self-estimated I.Q.60.62
Observed associative horizon450.56
Observed behaviour650.49
Educational level730.45
P.S.I.A. Orderly250.30
P.S.I.A. System factor240.27
P.S.I.A. Rare250.23
P.S.I.A. Rational250.21
P.S.I.A. Cold250.20
Sex1200.19
P.S.I.A. Ethics factor350.11
P.S.I.A. True250.04
Mother's educational level600.00
Year of birth113-0.01
P.S.I.A. Deviance factor35-0.01
P.S.I.A. Antisocial25-0.01
P.S.I.A. Aspergoid25-0.07
Father's educational level57-0.08
P.S.I.A. Cruel25-0.11
P.S.I.A. Introverted25-0.12
Gifted Adult's Inventory of Aspergerisms26-0.14
P.S.I.A. Neurotic25-0.16
P.S.I.A. Extreme25-0.16
Disorders (parents and siblings)65-0.25
P.S.I.A. Just25-0.25
Disorders (own)74-0.30
Cooijmans Inventory of Neo-Marxist Attitudes8-0.51

Correlation with personal details of Intelligence Quantifier by assessment - within females

Personalia n r
P.S.I.A. Just30.98
P.S.I.A. Aspergoid30.88
P.S.I.A. System factor30.83
P.S.I.A. Cold30.80
P.S.I.A. Introverted30.59
P.S.I.A. Rare30.58
Mother's educational level70.55
Year of birth210.54
Father's educational level70.49
P.S.I.A. Orderly30.41
P.S.I.A. True30.34
Educational level100.26
P.S.I.A. Rational30.22
P.S.I.A. Deviance factor40.12
P.S.I.A. Ethics factor40.05
P.S.I.A. Neurotic3-0.02
Observed behaviour10-0.13
Observed associative horizon9-0.22
P.S.I.A. Extreme3-0.29
Disorders (parents and siblings)8-0.31
Gifted Adult's Inventory of Aspergerisms5-0.33
P.S.I.A. Cruel3-0.46
Disorders (own)10-0.48
P.S.I.A. Antisocial3-0.64

Note: The correlation with year of birth in females is significant and remarkable, especially compared to that for males which is close to zero. It suggests, considering that these assessments were made within a few years time and therefore year of birth is more or less equivalent to reversed age, that in adult females there is a decline of intelligence with age which is not apparent in males. This will be studied in closer detail when possible and reported on in High-range I.Q. scores by age group; reporting will be done within-sex in future versions of that report. In the meantime, do not panic, it may just be a peculiarity of these 21 females after all.

Correlation with personal details of Intelligence Quantifier by assessment - within males

Personalia n r
Observed associative horizon360.70
Candidate's self-estimated I.Q.50.57
Observed behaviour550.57
Educational level630.47
P.S.I.A. Orderly220.31
P.S.I.A. System factor210.25
P.S.I.A. Rare220.20
P.S.I.A. Rational220.20
P.S.I.A. Cold220.17
P.S.I.A. Ethics factor310.14
P.S.I.A. True220.07
P.S.I.A. Deviance factor31-0.01
Mother's educational level53-0.03
P.S.I.A. Antisocial22-0.06
Gifted Adult's Inventory of Aspergerisms21-0.09
P.S.I.A. Cruel22-0.12
Father's educational level50-0.13
P.S.I.A. Aspergoid22-0.13
P.S.I.A. Introverted22-0.14
P.S.I.A. Extreme22-0.15
P.S.I.A. Neurotic22-0.15
Year of birth92-0.18
Disorders (parents and siblings)57-0.24
Disorders (own)64-0.29
P.S.I.A. Just22-0.32
Cooijmans Inventory of Neo-Marxist Attitudes7-0.43

Correlation with national I.Q.'s of Intelligence Quantifier by assessment

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

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)
750.87 (726)NaN (0)
1300.82 (623)0.75 (35)
1390.81 (407)0.80 (224)
1480.84 (137)0.82 (555)
185NaN (0)0.87 (726)