Statistics of Numerical and Spatial sections of Test For Genius - Revision 2016

Scores on Combined Numerical and Spatial sections of Test For Genius - Revision 2016 as of 8 September 2026

Contents type: Numerical, spatial. Period: 2016-2025

n: 101
Median: 19.0
Quartile deviation: 3.5
Maximum possible: 39
Male median: 19.3 (n = 98)
Female median: 9.0 (n = 3)
Proportion of males among candidates: 0.970
Hardness: 0.51
Resolution: 7.0

0	*
3	*
4	*
6	****
7	*
9	****
10	**
11	**
11.5	**
14	***
15	**
16	*****
16.5	*
17	********
18	******
18.5	*
19	*******
19.5	*
20	****
20.5	*
21	*********
22	****
22.5	*
23	*******
23.5	***
24	******
24.5	*
25	*
25.5	*
26	**
26.5	**
27	*
27.5	*
28	****
30	*

Correlation of Combined Numerical and Spatial sections of Test For Genius - Revision 2016 with other mental ability tests

Test name	n	r	p value
The Marathon Test - Revision 2024	4	0.98	0.09
Space, Time, and Hyperspace - Revision 2016	101	0.97	≈ 0
Combined Numerical and Spatial sections of Test For Genius - Revision 2010	9	0.93	0.009
Cartoons of Shock	9	0.90	0.01
Test For Genius - Revision 2016	69	0.90	0.0000000000001
Culture Fair Numerical Spatial Examination - Final version (Etienne Forsström)	4	0.88	0.12
Reflections In Peroxide	40	0.88	0.00000005
Spatial section of Test For Genius - Revision 2004	13	0.85	0.003
Cooijmans Intelligence Test - Form 2	5	0.83	0.10
Narcissus' last stand	27	0.82	0.00003
Problems In Gentle Slopes of the fourth degree	6	0.82	0.07
Gliaweb Recycled Intelligence Test	12	0.82	0.007
Labyrinthine LIMIT	21	0.81	0.0003
Psychometrically Activated Grids Acerbate Neuroticism	10	0.79	0.02
Lieshout International Mesospheric Intelligence Test	43	0.79	0.0000003
Cattell Culture Fair	4	0.79	0.17
Numerical and spatial sections of The Marathon Test	26	0.79	0.00008
The Bonsai Test - Revision 2016	43	0.78	0.0000005
Problems In Gentle Slopes of the first degree	10	0.76	0.02
Spatial section of The Marathon Test	27	0.75	0.0001
Test of the Beheaded Man	30	0.74	0.00007
Test For Genius - Revision 2010	7	0.73	0.07
Associative LIMIT	35	0.73	0.00002
Numerical section of Test For Genius - Revision 2010	100	0.73	0.0000000000004
Numerologica (Andrei Udriște)	5	0.73	0.14
A Relaxing Test (David Miller)	18	0.73	0.003
Dicing with death	20	0.71	0.002
Cooijmans Intelligence Test - Form 4	46	0.71	0.000002
The Marathon Test	19	0.71	0.003
Test For Genius - Revision 2004	6	0.71	0.12
The Hammer Of Test-Hungry - Revision 2013	7	0.70	0.08
Divine Psychometry (Matthew Scillitani)	15	0.70	0.009
The Test To End All Tests	27	0.70	0.0004
Problems In Gentle Slopes of the third degree	41	0.69	0.00001
Numerical section of The Marathon Test	28	0.68	0.0004
Problems In Gentle Slopes of the second degree	34	0.68	0.00010
Verbal section of Test For Genius - Revision 2016	69	0.68	0.00000003
Cooijmans Intelligence Test - Form 3	52	0.67	0.000002
The Gate	13	0.63	0.03
Verbal section of The Marathon Test	21	0.61	0.006
Reason Behind Multiple-Choice - Revision 2008	40	0.61	0.0001
Reason - Revision 2008	39	0.61	0.0002
Cooijmans Intelligence Test 5	47	0.60	0.00005
Random Feickery (Brandon Feick)	11	0.59	0.06
The Sargasso Test	37	0.59	0.0004
Only idiots	17	0.59	0.02
The Nemesis Test	30	0.59	0.002
The Final Test - Revision 2013	8	0.59	0.12
Wechsler Adult Intelligence Scales	11	0.57	0.07
Psychometric Qrosswords	12	0.54	0.07
Letters	6	0.53	0.24
Gliaweb Riddled Intelligence Test - Revision 2011	32	0.53	0.003
Daedalus Test	21	0.53	0.02
The Final Test	9	0.53	0.13
The Piper's Test	22	0.52	0.02
Verbal section of Test For Genius - Revision 2004	12	0.51	0.09
Cooijmans On-Line Test - Two-barrelled version	17	0.50	0.05
Test of Inductive Reasoning / J.C.T.I. (Xavier Jouve)	4	0.50	0.38
Strict Logic Spatial Examination 48 (Jonathan Wai)	6	0.50	0.26
Genius Association Test	36	0.49	0.003
Qoymans Multiple-Choice #5	39	0.47	0.003
The Smell Test	13	0.47	0.10
The Alchemist Test (Anas El Husseini)	27	0.46	0.02
Logima Strictica 36 (Robert Lato)	5	0.46	0.37
The LAW - Letters And Words	6	0.44	0.32
De Laatste Test - Herziening 2019	7	0.41	0.32
Miscellaneous tests	28	0.40	0.04
Tests by Mislav Predavec (aggregate)	8	0.37	0.34
Words	6	0.36	0.42
A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude	36	0.36	0.03
Tests by Ivan Ivec (aggregate)	15	0.28	0.30
Isis Test	30	0.28	0.13
Tests by Theodosis Prousalis (aggregate)	8	0.25	0.50
Tests by Iakovos Koukas (aggregate)	6	0.23	0.62
Laaglandse Aanlegtest - Herziening 2016	5	0.17	0.74
Strict Logic Sequences Examination I (Jonathan Wai)	12	0.17	0.57
Tests by Nikolaos Soulios (aggregate)	10	0.14	0.68
Logicaus Strictimanus 24 (Robert Lato)	6	0.05	0.90
Tests by James Dorsey (aggregate)	8	-0.05	0.90
Tests by Jason Betts (aggregate)	11	-0.08	0.78
The Psychodrome	5	-0.09	0.84
De Golfstroomtest - Herziening 2019	6	-0.10	0.81
Strict Logic Sequences Examination II (Jonathan Wai)	6	-0.10	0.81
Tests by Alexi Edin (aggregate)	4	-0.23	0.68
Raven's Advanced Progressive Matrices (raw)	6	-0.41	0.37
Tests by Arne Andre Gangvik (aggregate)	4	-0.86	0.13

Weighted mean of correlations: 0.635 (N = 1810)

Estimated g factor loading: 0.80

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 Combined Numerical and Spatial sections of Test For Genius - Revision 2016 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 Combined Numerical and Spatial sections of Test For Genius - Revision 2016 on that type
Verbal	251	0.76
Numerical	151	0.80
Spatial	211	0.90
Logical	64	0.76
Heterogeneous	755	0.79

N = 1432

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

Balanced g loading = 0.80

National medians for Combined Numerical and Spatial sections of Test For Genius - Revision 2016

Country	n	median score
Romania	3	26.0
Turkey	3	23.0
United_Kingdom	4	22.3
Canada	3	21.0
China	4	21.0
Japan	3	20.0
United_States	27	19.0
Germany	5	18.0
Sweden	4	17.5
Italy	4	16.0
Korea_South	4	13.0
Unknown	4	9.0

Total number of countries: 41

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 Combined Numerical and Spatial sections of Test For Genius - Revision 2016 with personal details

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

Personalia	n	r	p value
Observed associative horizon	4	0.67	0.25
PSIA Rational - Revision 2007	24	0.39	0.07
PSIA Aspergoid - Revision 2007	24	0.26	0.20
PSIA True - Revision 2007	24	0.25	0.24
PSIA Introverted - Revision 2007	24	0.25	0.24
PSIA Cold - Revision 2007	24	0.22	0.30
PSIA System factor - Revision 2007	24	0.22	0.30
PSIA Just - Revision 2007	24	0.17	0.42
Year of birth	100	0.15	0.14
PSIA Deviance factor - Revision 2007	24	0.14	0.50
PSIA Ethics factor - Revision 2007	24	0.14	0.50
Sex	101	0.13	0.18
Educational level	87	0.11	0.28
Gifted Adult's Inventory of Aspergerisms	19	0.11	0.64
Observed behaviour	19	0.11	0.66
PSIA Cruel - Revision 2007	24	0.08	0.71
Father's educational level	81	0.07	0.50
PSIA Orderly - Revision 2007	24	0.07	0.74
PSIA Extreme - Revision 2007	24	0.06	0.76
PSIA Rare - Revision 2007	24	0.02	0.94
Mother's educational level	82	-0.02	0.87
Disorders (parents and siblings)	86	-0.03	0.78
PSIA Neurotic - Revision 2007	24	-0.03	0.90
PSIA Antisocial - Revision 2007	24	-0.19	0.37
Disorders (own)	89	-0.20	0.06
Cooijmans Inventory of Neo-Marxist Attitudes	11	-0.41	0.19

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 (16.0)	0.70 (N = 479)
Below median (19.0)	0.68 (N = 904)
Above median (19.0)	0.60 (N = 945)
Above 3rd quartile (23.0)	0.73 (N = 546)

Reliability

Expanded Spearman-Brown formula: 0.91
Stratified alpha coefficient: 0.90

These are computed from statistics like subtest reliabilities, subtest variances, and total test variance.

Error of measurement

Standard error = 2.0 raw score points

Correlation between subtests

Numerical × Spatial = .53

Ideal values for correlations between subtests 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 subtests measure basically the same so there is almost no profile information in them, with a too low correlation (like .2 or lower) the subtests are so different that there is little point in combining them into a measure of general intelligence.

For the correlations of the subtests with total score, see the correlations table above in this report. For statistics per subtest, see the statistical reports of the pertinent subtest; it concerns the subtests Numerical section of Test For Genius - Revision 2010 and Space, Time, and Hyperspace - Revision 2016, each having their own statistical report.

Robustness and overall test quality for Combined Numerical and Spatial sections of Test For Genius - Revision 2016

Robustness (score trend by time measured in months) = r_{raw scores × months} ≈ 0.16
Quality (new method) = 44.4

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