Statistics of Problems In Gentle Slopes of the second degree

© Paul Cooijmans

Scores on Problems In Gentle Slopes of the second degree as of 31 March 2025

Contents type: Numerical, spatial.   Period: 2013-present

3 *****
6 *
6.5 *
7 ***
8 ***
9 *
9.5 *
10 ****
10.5 **
11 ***
12 ****
13 **
13.5 *
14 *
14.5 *
15 ****
16 **
16.5 *
17 ***
17.5 *
18 **
19 *
19.5 *
20 ***
21 ***
22 *
25 *
26 ***
27 **
30 *
31.5 *
37 *

Correlation of Problems In Gentle Slopes of the second degree with other mental ability tests

Test name n rp value
Problems In Gentle Slopes of the fourth degree41.000.08
Reason Behind Multiple-Choice40.940.10
De Golfstroomtest - Herziening 201940.890.12
Tests by Jason Betts (aggregate)40.850.14
Cooijmans Intelligence Test 5300.850.000005
Laaglandse Aanlegtest - Herziening 201650.840.10
The Alchemist Test (Anas El Husseini)280.840.00001
Odds40.830.15
Logima Strictica 36 (Robert Lato)50.820.10
Test of the Beheaded Man200.820.0004
Cooijmans Intelligence Test - Form 260.820.07
Cooijmans Intelligence Test - Form 4360.810.000002
Strict Logic Sequences Exam II (Jonathan Wai)70.780.05
Psychometrically Activated Grids Acerbate Neuroticism100.780.02
Test For Genius - Revision 2016230.760.0004
Spatial section of The Marathon Test260.760.0001
Labyrinthine LIMIT190.760.001
Narcissus' last stand160.750.003
The Final Test80.750.05
Numerical and spatial sections of The Marathon Test250.750.0002
The Marathon Test160.720.005
Tests by Ivan Ivec (aggregate)130.720.01
The Piper's Test160.710.006
Combined Numerical and Spatial sections of Test For Genius - Revision 2016310.710.00010
Space, Time, and Hyperspace - Revision 2016320.710.00007
Cooijmans Intelligence Test - Form 3410.710.000007
Test For Genius - Revision 2010110.700.03
Problems In Gentle Slopes of the first degree130.700.02
Lieshout International Mesospheric Intelligence Test330.700.00008
Combined Numerical and Spatial sections of Test For Genius - Revision 2010150.700.01
Wechsler Adult Intelligence Scales70.690.10
Reason40.680.24
Reflections In Peroxide300.670.0003
Random Feickery (Brandon Feick)100.670.05
The Final Test - Revision 2013110.660.04
Only idiots120.660.03
Daedalus Test200.650.005
Numerical section of The Marathon Test260.650.001
Genius Association Test250.640.002
The Gate70.640.12
Strict Logic Spatial Exam 48 (Jonathan Wai)70.640.12
Verbal section of Test For Genius - Revision 2016230.610.005
Associative LIMIT250.600.003
Psychometric Qrosswords100.590.08
The Hammer Of Test-Hungry - Revision 2013100.570.08
Dicing with death140.570.04
Strict Logic Sequences Exam I (Jonathan Wai)120.550.07
Gliaweb Riddled Intelligence Test - Revision 2011210.550.02
Miscellaneous tests230.530.01
Tests by Nikolaos Soulios (aggregate)70.530.19
Numerical section of Test For Genius - Revision 2010400.520.001
The Bonsai Test - Revision 2016310.520.005
The Nemesis Test220.510.02
Cartoons of Shock90.500.15
Spatial section of Test For Genius - Revision 2004200.490.03
Qoymans Multiple-Choice #5280.490.01
Reason Behind Multiple-Choice - Revision 2008280.470.02
The Test To End All Tests170.460.07
A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude290.460.02
Epiq Tests (aggregate)40.440.44
Verbal section of The Marathon Test190.440.07
Cooijmans On-Line Test - Two-barrelled version150.410.12
Divine Psychometry (Matthew Scillitani)70.390.34
Numbers60.380.38
A Relaxing Test (David Miller)100.370.26
The Smell Test100.360.28
Problems In Gentle Slopes of the third degree320.360.05
Test For Genius - Revision 200490.310.38
Verbal section of Test For Genius - Revision 2004180.300.20
Reason - Revision 2008280.290.12
Isis Test230.260.24
The Sargasso Test270.200.30
Letters40.180.76
De Laatste Test - Herziening 201940.120.84
The LAW - Letters And Words40.120.84
Words40.080.90
Qoymans Multiple-Choice #46-0.110.81
Sequentia Numerica Form I (Alexander Herkner)4-0.530.37

Weighted mean of correlations: 0.591 (N = 1267)

Estimated g factor loading: 0.77

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.

Estimated loadings of Problems In Gentle Slopes of the second 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 second degree on that type
Verbal1770.69
Numerical880.75
Spatial1230.83
Logical520.68
Heterogeneous5160.77

N = 956

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

Balanced g loading = 0.74

National medians for Problems In Gentle Slopes of the second degree

Country n median score
China422.5
Spain516.0
Germany312.0
Korea_South311.0
United_Kingdom411.0
United_States1210.3
Italy38.0

Total number of countries: 32

For reasons of privacy, only countries with 3 or more candidates are included in this table. Ranking is based on the medians, and then alphabetic.

Correlation of Problems In Gentle Slopes of the second degree with personal details

Personalia n rp value
Observed associative horizon40.850.14
PSIA True - Revision 2007170.520.04
PSIA Ethics factor - Revision 2007170.430.09
PSIA Aspergoid - Revision 2007170.380.12
PSIA Introverted - Revision 2007170.380.12
PSIA Rational - Revision 2007170.340.17
PSIA Neurotic - Revision 2007170.330.19
PSIA Orderly - Revision 2007170.280.26
Observed behaviour170.250.32
Educational level600.250.06
PSIA Rare - Revision 2007170.200.42
Sex640.180.15
PSIA Cold - Revision 2007170.180.46
PSIA System factor - Revision 2007170.160.52
PSIA Deviance factor - Revision 2007170.140.57
Cooijmans Inventory of Neo-Marxist Attitudes90.080.81
PSIA Extreme - Revision 200717-0.001.00
Disorders (parents and siblings)59-0.030.81
Year of birth63-0.080.54
PSIA Just - Revision 200717-0.090.74
PSIA Cruel - Revision 200717-0.140.57
Disorders (own)61-0.190.13
Mother's educational level55-0.220.10
Father's educational level55-0.230.08
Gifted Adult's Inventory of Aspergerisms11-0.250.42
PSIA Antisocial - Revision 200717-0.260.28

Notice: A correlation is generally considered significant if the p value is 0.05 or less.

Estimated g factor loadings for restricted ranges

The goal of estimated g factor loadings for restricted ranges 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 these values to be lower than the test's full-range g loading.

Below 1st quartile (raw 10.0)0.76 (N = 463)
Below median (raw 14.3)0.61 (N = 703)
Above median (raw 14.3)0.66 (N = 545)
Above 3rd quartile (raw 19.8)0.72 (N = 159)

Reliability analysis for Problems In Gentle Slopes of the second degree

Error

Scores by age for Problems In Gentle Slopes of the second degree

Age class n Median score
65 to 69316.5
60 to 64117.5
55 to 59130.0
50 to 54313.0
45 to 49315.0
40 to 44714.0
35 to 39713.5
30 to 34814.0
25 to 291314.5
22 to 24813.0
20 or 21216.5
18 or 19414.0
17111.0
1637.0

N = 64

Scores by year taken for Problems In Gentle Slopes of the second degree

Year taken n Median scoreprotonorm
201326.0303
2014815.8424
201559.5360
2016218.0447
201713.0280
2018110.0369
2019814.5413
2020811.8392
2021815.5424
2022515.0417
2023520.0482
2024915.0417
2025211.5392

N = 64

Robustness and overall test quality for Problems In Gentle Slopes of the second degree

Item analysis

Item statistics are not published as that would help candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score on the remaining problems (item-rest correlation) and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are revised, replaced, or removed, possibly resulting in a revised version of the test.

Correlations between sections for Problems In Gentle Slopes of the second degree (internal consistency versus profile information)

Numerical × Spatial0.68(p value: 0.00000005)

Ideal values for correlations between sections are around .5, thus being a compromise between the test's ability to yield a "profile" and its ability to provide an indication of general intelligence. With a too high correlation (like .8 or higher) the sections measure basically the same so there is almost no profile information in them, with a too low correlation (like .2 or lower) the sections are so different that there is little point in combining them into a measure of general intelligence.

Section frequency tables for Problems In Gentle Slopes of the second degree

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.

Numerical

ScoreProp.# scores (* = 1 score)
30.039 (0.078) *****
40.094 (0.109) **
50.117 (0.125) *
60.195 (0.266) *********
6.50.273 (0.281) *
70.344 (0.406) ********
80.469 (0.531) ********
8.50.563 (0.594) ****
90.641 (0.688) ******
9.50.703 (0.719) **
100.750 (0.781) ****
110.805 (0.828) ***
120.875 (0.922) ******
130.930 (0.938) *
140.961 (0.984) ***
170.992 (1.000) *

Spatial

ScoreProp.# scores (* = 1 score)
00.055 (0.109) *******
0.50.117 (0.125) *
10.148 (0.172) ***
1.50.180 (0.188) *
20.227 (0.266) *****
2.50.273 (0.281) *
30.313 (0.344) ****
40.359 (0.375) **
4.50.391 (0.406) **
50.445 (0.484) *****
60.531 (0.578) ******
70.602 (0.625) ***
80.641 (0.656) **
90.680 (0.703) ***
9.50.711 (0.719) *
100.734 (0.750) **
110.773 (0.797) ***
120.813 (0.828) **
130.859 (0.891) ****
140.906 (0.922) **
150.938 (0.953) **
160.961 (0.969) *
17.50.977 (0.984) *
200.992 (1.000) *