Statistics of Problems In Gentle Slopes of the third degree

© Paul Cooijmans

Scores on Problems In Gentle Slopes of the third degree as of 16 March 2020

Contents type: Verbal, spatial.   Period: 2016-present

11 *
23 *
28 *
32 *
33 *
34 *
35 **
37 *
38 ***
39 *
40 **
41 *
42 **
43 ****
44 ***

Remark: The statistics may be suffering from a lack of very high scores.

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 Qrosswords40.97
(111) Test For Genius - Revision 201660.93
(104) The Final Test - Revision 201350.92
(47) Psychometrically Activated Grids Acerbate Neuroticism40.92
(44) Associative LIMIT100.92
(33) Problems In Gentle Slopes of the first degree40.89
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201670.89
(16) Lieshout International Mesospheric Intelligence Test100.87
(110) Cooijmans Intelligence Test 560.87
(105) Space, Time, and Hyperspace - Revision 201670.86
(48) Narcissus' last stand50.85
(66) Test For Genius - Revision 200450.85
(2) Cooijmans Intelligence Test - Form 3140.84
(27) Spatial section of Test For Genius - Revision 2004100.83
(36) Reflections In Peroxide50.82
(109) The Bonsai Test - Revision 2016130.82
(25) The Sargasso Test100.81
(106) Cooijmans Intelligence Test - Form 4100.81
(28) The Test To End All Tests60.80
(7) The Final Test40.80
(43) Test For Genius - Revision 201060.79
(35) Intelligence Quantifier by assessment90.74
(107) The Alchemist Test50.73
(108) Verbal section of Test For Genius - Revision 201660.71
(0) Test of the Beheaded Man80.68
(30) Verbal section of The Marathon Test90.67
(1) Cartoons of Shock70.66
(42) The Marathon Test70.66
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude80.66
(5) Daedalus Test40.63
(32) Spatial section of The Marathon Test70.63
(40) Reason Behind Multiple-Choice - Revision 2008140.61
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201070.60
(12) Cooijmans On-Line Test - Two-barrelled version70.58
(19) Numerical section of Test For Genius - Revision 2010110.57
(117) The Hammer Of Test-Hungry - Revision 201350.57
(26) Verbal section of Test For Genius - Revision 200490.55
(24) Reason - Revision 2008140.55
(3) Qoymans Multiple-Choice #5140.55
(10) Genius Association Test120.53
(23) Gliaweb Riddled Intelligence Test - Revision 2011140.51
(45) Numerical and spatial sections of The Marathon Test60.49
(31) Numerical section of The Marathon Test70.47
(18) The Nemesis Test70.33
(103) Problems In Gentle Slopes of the second degree100.29
(11) Isis Test50.22

Weighted average of correlations: 0.685 (N = 363, weighted sum = 248.75)

Conservatively estimated minimum g loading: 0.83

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 tests90.43

Weighted average of correlations: 0.434 (N = 9, weighted sum = 3.91)

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.

Typeng loading of Problems In Gentle Slopes of the third degree on that type
Verbal690.81
Numerical180.73
Spatial340.90
Logical180.75
Heterogeneous1330.81

N = 272

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

Balanced g loading = 0.80

National medians for Problems In Gentle Slopes of the third degree

Country n median score
Canada243.5
Japan241.5
Sweden338.0
United_States1036.5

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 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
Observed behaviour60.33
P.S.I.A. Extreme - Revision 200770.25
Mother's educational level240.25
P.S.I.A. Deviance factor - Revision 200770.22
Educational level250.22
P.S.I.A. Rare - Revision 200770.22
P.S.I.A. Introverted - Revision 200770.11
P.S.I.A. Aspergoid - Revision 200770.11
P.S.I.A. Ethics factor - Revision 200770.11
Father's educational level230.10
P.S.I.A. Antisocial - Revision 200770.09
P.S.I.A. Cold - Revision 20077-0.00
Sex25-0.02
P.S.I.A. Neurotic - Revision 20077-0.03
P.S.I.A. True - Revision 20077-0.06
Year of birth25-0.06
P.S.I.A. System factor - Revision 20077-0.13
Disorders (own)24-0.18
P.S.I.A. Just - Revision 20077-0.20
P.S.I.A. Orderly - Revision 20077-0.26
Disorders (parents and siblings)24-0.26
P.S.I.A. Rational - Revision 20077-0.32
Gifted Adult's Inventory of Aspergerisms6-0.42
P.S.I.A. Cruel - Revision 20077-0.70

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)
00.83 (363)NaN (0)
350.28 (246)0.90 (35)
39-0.21 (178)0.87 (101)
43-0.53 (60)0.86 (263)
50NaN (0)0.83 (363)

Reliability

Error

Scores by age

Age class n median score
65 to 69142.0
55 to 59143.0
50 to 54138.0
40 to 44240.5
35 to 39323.0
30 to 34543.0
25 to 29836.0
22 to 24143.0
20 or 21240.0
18 or 19139.0

N = 25

Scores by year taken

Year taken n median score
2016640.5
2017636.5
2018638.5
2019543.0
2020239.5

ryear taken × median score = 0.30 (N = 25)

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

Verbal0.96
Spatial0.96

Correlations between sections

Verbal × Spatial0.83

Section histograms

Prop. = proportion of candidates outscored in this section.

Verbal

ScoreProp.# scores (* = 1 score)
30.020 (0.040) *
80.060 (0.080) *
120.120 (0.160) **
130.180 (0.200) *
140.240 (0.280) **
150.320 (0.360) **
160.380 (0.400) *
170.440 (0.480) **
180.580 (0.680) *****
190.840 (1.000) ********

Spatial

ScoreProp.# scores (* = 1 score)
80.020 (0.040) *
150.060 (0.080) *
160.100 (0.120) *
180.140 (0.160) *
190.200 (0.240) **
200.300 (0.360) ***
210.400 (0.440) **
220.480 (0.520) **
230.560 (0.600) **
240.700 (0.800) *****
250.900 (1.000) *****