Statistics of Problems In Gentle Slopes of the third degree
© Paul Cooijmans
Scores on Problems In Gentle Slopes of the third degree as of 12 March 2021
Contents type: Verbal, spatial. Period: 2016-present
11 | * |
23 | * |
28 | ** |
32 | *** |
33 | * |
34 | * |
35 | ** |
36 | ** |
37 | * |
38 | **** |
39 | ** |
40 | *** |
41 | * |
42 | **** |
43 | **** |
44 | *** |
46 | * |
Correlation of Problems In Gentle Slopes of the third degree with other tests by I.Q. Tests for the High Range
(Test index) Test name | n | r |
(21) Psychometric Qrosswords | 5 | 0.97 |
(33) Problems In Gentle Slopes of the first degree | 6 | 0.91 |
(113) The Piper's Test | 6 | 0.89 |
(36) Reflections In Peroxide | 11 | 0.88 |
(48) Narcissus' last stand | 11 | 0.87 |
(44) Associative LIMIT | 16 | 0.86 |
(47) Psychometrically Activated Grids Acerbate Neuroticism | 5 | 0.86 |
(66) Test For Genius - Revision 2004 | 7 | 0.85 |
(27) Spatial section of Test For Genius - Revision 2004 | 12 | 0.83 |
(106) Cooijmans Intelligence Test - Form 4 | 14 | 0.83 |
(109) The Bonsai Test - Revision 2016 | 22 | 0.81 |
(16) Lieshout International Mesospheric Intelligence Test | 16 | 0.80 |
(111) Test For Genius - Revision 2016 | 12 | 0.80 |
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 2016 | 14 | 0.79 |
(28) The Test To End All Tests | 14 | 0.78 |
(2) Cooijmans Intelligence Test - Form 3 | 21 | 0.78 |
(80) Qoymans Multiple-Choice #4 | 5 | 0.77 |
(7) The Final Test | 6 | 0.75 |
(1) Cartoons of Shock | 9 | 0.74 |
(43) Test For Genius - Revision 2010 | 7 | 0.74 |
(42) The Marathon Test | 9 | 0.74 |
(104) The Final Test - Revision 2013 | 6 | 0.74 |
(105) Space, Time, and Hyperspace - Revision 2016 | 14 | 0.72 |
(30) Verbal section of The Marathon Test | 12 | 0.71 |
(35) Intelligence Quantifier by assessment | 12 | 0.71 |
(0) Test of the Beheaded Man | 10 | 0.70 |
(107) The Alchemist Test | 6 | 0.69 |
(32) Spatial section of The Marathon Test | 9 | 0.68 |
(25) The Sargasso Test | 18 | 0.68 |
(108) Verbal section of Test For Genius - Revision 2016 | 12 | 0.64 |
(45) Numerical and spatial sections of The Marathon Test | 8 | 0.63 |
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010 | 8 | 0.60 |
(10) Genius Association Test | 19 | 0.59 |
(12) Cooijmans On-Line Test - Two-barrelled version | 7 | 0.58 |
(31) Numerical section of The Marathon Test | 9 | 0.57 |
(19) Numerical section of Test For Genius - Revision 2010 | 18 | 0.57 |
(114) Dicing with death | 7 | 0.57 |
(117) The Hammer Of Test-Hungry - Revision 2013 | 5 | 0.57 |
(23) Gliaweb Riddled Intelligence Test - Revision 2011 | 21 | 0.56 |
(110) Cooijmans Intelligence Test 5 | 12 | 0.55 |
(40) Reason Behind Multiple-Choice - Revision 2008 | 20 | 0.55 |
(5) Daedalus Test | 6 | 0.54 |
(24) Reason - Revision 2008 | 20 | 0.52 |
(26) Verbal section of Test For Genius - Revision 2004 | 11 | 0.52 |
(68) Numbers | 4 | 0.48 |
(3) Qoymans Multiple-Choice #5 | 20 | 0.48 |
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude | 11 | 0.43 |
(11) Isis Test | 9 | 0.38 |
(18) The Nemesis Test | 8 | 0.36 |
(103) Problems In Gentle Slopes of the second degree | 13 | 0.22 |
Weighted average of correlations: 0.668 (N = 563, weighted sum = 376.23)
Conservatively estimated minimum g loading: 0.82
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 Problems In Gentle Slopes of the third degree with tests by others
(Test index) Test name | n | r |
(242) Unknown and miscellaneous tests | 14 | 0.29 |
(201) Wechsler Adult Intelligence Scales | 4 | -0.17 |
Weighted average of correlations: 0.188 (N = 18, weighted sum = 3.38)
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 Problems In Gentle Slopes of the third degree 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.
Type | n | g loading of Problems In Gentle Slopes of the third degree on that type |
Verbal | 110 | 0.80 |
Numerical | 31 | 0.75 |
Spatial | 51 | 0.88 |
Logical | 26 | 0.73 |
Heterogeneous | 211 | 0.81 |
N = 429
Compound tests have been left out of this table to avoid overlap.
Balanced g loading = 0.79
National medians for Problems In Gentle Slopes of the third degree
Country | n | median score |
Canada | 2 | 43.5 |
Spain | 2 | 43.5 |
Japan | 2 | 41.5 |
Sweden | 3 | 38.0 |
United_States | 16 | 37.0 |
Korea_South | 2 | 36.0 |
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 Problems In Gentle Slopes of the third degree
Correlation of this test with national average I.Q.'s published by Lynn and Vanhanen:
Correlation of Problems In Gentle Slopes of the third degree with personal details
Personalia | n | r |
P.S.I.A. Extreme - Revision 2007 | 11 | 0.30 |
Observed behaviour | 10 | 0.28 |
P.S.I.A. Deviance factor - Revision 2007 | 11 | 0.22 |
Educational level | 36 | 0.14 |
P.S.I.A. Introverted - Revision 2007 | 11 | 0.14 |
P.S.I.A. System factor - Revision 2007 | 11 | 0.11 |
P.S.I.A. Rational - Revision 2007 | 11 | 0.11 |
P.S.I.A. Aspergoid - Revision 2007 | 11 | 0.10 |
P.S.I.A. Cold - Revision 2007 | 11 | 0.09 |
P.S.I.A. Orderly - Revision 2007 | 11 | 0.09 |
P.S.I.A. Just - Revision 2007 | 11 | 0.09 |
Mother's educational level | 35 | 0.07 |
P.S.I.A. Neurotic - Revision 2007 | 11 | 0.06 |
Father's educational level | 34 | 0.01 |
Sex | 36 | -0.02 |
P.S.I.A. Ethics factor - Revision 2007 | 11 | -0.03 |
Year of birth | 36 | -0.05 |
Disorders (own) | 35 | -0.07 |
P.S.I.A. Antisocial - Revision 2007 | 11 | -0.09 |
P.S.I.A. Cruel - Revision 2007 | 11 | -0.18 |
P.S.I.A. Rare - Revision 2007 | 11 | -0.20 |
P.S.I.A. True - Revision 2007 | 11 | -0.20 |
Disorders (parents and siblings) | 35 | -0.25 |
Gifted Adult's Inventory of Aspergerisms | 9 | -0.32 |
Cooijmans Inventory of Neo-Marxist Attitudes | 6 | -0.85 |
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 score | Upward g (N) | Downward g (N) |
0 | 0.82 (563) | NaN (0) |
32 | 0.70 (498) | 0.82 (41) |
35 | 0.57 (413) | 0.82 (122) |
38.5 | 0.55 (312) | 0.81 (190) |
42 | 0.29 (246) | 0.84 (352) |
43 | 0.48 (141) | 0.84 (446) |
44 | 0.80 (12) | 0.81 (536) |
50 | NaN (0) | 0.82 (563) |
Reliability
Error
Scores by age
Age class | n | median score |
65 to 69 | 4 | 39.0 |
55 to 59 | 1 | 43.0 |
50 to 54 | 1 | 38.0 |
40 to 44 | 3 | 43.0 |
35 to 39 | 6 | 36.5 |
30 to 34 | 7 | 40.0 |
25 to 29 | 9 | 35.0 |
22 to 24 | 1 | 43.0 |
20 or 21 | 3 | 42.0 |
18 or 19 | 1 | 39.0 |
N = 36
Scores by year taken
Year taken | n | median score |
2016 | 6 | 40.5 |
2017 | 6 | 36.5 |
2018 | 6 | 38.5 |
2019 | 5 | 43.0 |
2020 | 11 | 37.0 |
2021 | 2 | 40.0 |
ryear taken × median score = 0.08 (N = 36)
Robustness and overall test quality
Item analysis
Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are removed or revised, resulting in a revised version of the test.
Correlations of sections with total score
Correlations between sections (internal consistency)
Section histograms
Prop. = proportion of candidates outscored in this section. In parentheses the proportion outscored for any possible scores higher than the present score but lower than the next-higher score in the table.
Verbal
Score | Prop. | # scores (* = 1 score) |
3 | 0.014 (0.028) | * |
8 | 0.042 (0.056) | * |
9 | 0.069 (0.083) | * |
12 | 0.139 (0.194) | **** |
13 | 0.222 (0.250) | ** |
14 | 0.292 (0.333) | *** |
15 | 0.375 (0.417) | *** |
16 | 0.444 (0.472) | ** |
17 | 0.514 (0.556) | *** |
18 | 0.639 (0.722) | ****** |
19 | 0.847 (0.972) | ********* |
21 | 0.986 (1.000) | * |
Spatial
Score | Prop. | # scores (* = 1 score) |
8 | 0.014 (0.028) | * |
15 | 0.042 (0.056) | * |
16 | 0.069 (0.083) | * |
17 | 0.097 (0.111) | * |
18 | 0.125 (0.139) | * |
19 | 0.181 (0.222) | *** |
20 | 0.278 (0.333) | **** |
21 | 0.361 (0.389) | ** |
22 | 0.444 (0.500) | **** |
23 | 0.556 (0.611) | **** |
24 | 0.694 (0.778) | ****** |
25 | 0.889 (1.000) | ******** |