Statistics of The LAW

© December 2015 Paul Cooijmans

Norms

Scores on The LAW - Letters And Words

Contents type: Verbal.   Period: 2003-present

15 *
59 *
60 *
65 *
68 *
72 *
73 *
74 **
75 *
76 *
77 *
78 ***
79 ****

Correlation of The LAW - Letters And Words with other tests by Paul Cooijmans

(Test index) Test name n r
(33) Problems In Gentle Slopes of the first degree30.99
(68) Numbers30.99
(29) Words190.99
(15) Letters190.98
(44) Associative LIMIT40.98
(48) Narcissus' last stand30.94
(30) Verbal section of The Marathon Test40.88
(40) Reason Behind Multiple-Choice - Revision 200870.87
(43) Test For Genius - Revision 201050.85
(36) Reflections In Peroxide30.81
(42) The Marathon Test30.80
(26) Verbal section of Test For Genius - Revision 200480.73
(0) Test of the Beheaded Man40.66
(3) Qoymans Multiple-Choice #570.65
(24) Reason - Revision 200870.63
(16) Lieshout International Mesospheric Intelligence Test50.57
(35) Intelligence Quantifier by assessment70.56
(31) Numerical section of The Marathon Test30.50
(1) Cartoons of Shock50.49
(19) Numerical section of Test For Genius - Revision 201050.48
(32) Spatial section of The Marathon Test30.45
(7) The Final Test50.44
(18) The Nemesis Test50.41
(25) The Sargasso Test50.41
(2) Cooijmans Intelligence Test - Form 360.40
(23) Gliaweb Riddled Intelligence Test - Revision 201160.39
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201050.38
(11) Isis Test60.35
(27) Spatial section of Test For Genius - Revision 200470.35
(10) Genius Association Test70.34
(28) The Test To End All Tests60.18
(103) Problems In Gentle Slopes of the second degree40.12
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude4-0.08
(80) Qoymans Multiple-Choice #44-0.29
(79) Association subtest of Long Test For Genius4-0.36
(106) Cooijmans Intelligence Test - Form 44-0.41
(66) Test For Genius - Revision 20043-0.61
(53) Qoymans Multiple-Choice #33-0.65

Weighted average of correlations: 0.540

Conservatively estimated minimum g loading: 0.73

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 The LAW - Letters And Words with tests by others

(Test index) Test name n r
(242) Unknown and miscellaneous tests60.45
(225) Logima Strictica 3630.41
(235) Nonverbal Cognitive Performance Examination30.16
(234) Strict Logic Sequences Exam I40.16
(236) International High IQ Society Miscellaneous tests3-0.30
(246) Sequentia Numerica Form I4-0.80
(248) Gliaweb Riddled Intelligence Test (old version)3-0.85

Weighted average of correlations: -0.061

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.

Estimated loadings of The LAW - Letters And Words 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 The LAW - Letters And Words on that type
Verbal0.78
Numerical0.79
Spatial0.66
Logical0.79
Heterogeneous0.60

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

Balanced g loading = 0.73

National medians for The LAW - Letters And Words

Country n median score
United_States873.5
Greece268.0

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 The LAW - Letters And Words

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

Correlation of The LAW - Letters And Words with personal details

Personalia n r
P.S.I.A. Aspergoid60.85
P.S.I.A. Introverted60.81
P.S.I.A. Extreme60.81
P.S.I.A. Rare60.72
P.S.I.A. Deviance factor80.67
P.S.I.A. Rational60.47
P.S.I.A. System factor50.45
Gifted Adult's Inventory of Aspergerisms60.44
P.S.I.A. Cold60.40
P.S.I.A. Just60.25
P.S.I.A. Neurotic60.25
P.S.I.A. True60.23
Educational level190.16
Sex190.11
Disorders (parents and siblings)190.08
P.S.I.A. Ethics factor80.07
P.S.I.A. Antisocial6-0.04
Observed associative horizon3-0.11
Year of birth19-0.11
P.S.I.A. Orderly6-0.16
P.S.I.A. Cruel6-0.24
Father's educational level17-0.32
Disorders (own)19-0.38
Mother's educational level18-0.47
Candidate's self-estimated I.Q.5-0.55

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)
00.73 (211)NaN (0)
500.69 (183)NaN (0)
650.40 (135)0.78 (14)
700.40 (127)0.81 (16)
750.17 (81)0.78 (69)
760.34 (72)0.77 (116)
770.63 (42)0.73 (128)
780.60 (32)0.72 (186)
79NaN (0)0.73 (211)
80NaN (0)0.73 (211)

Reliability

From the known reliabilities of the subtests Letters and Words, the reliability of the LAW has been computed using a variant of the Spearman-Brown formula:

Error of measurement

Robustness and overall test quality