The Final Test statistics

© Paul Cooijmans

Scores on The Final Test as of 15 February 2023

Contents type: Verbal.   Period: 1996-2018

0 *
2 *
3 *
4 *
5 *
7 *
10 *
11 **
12 ***
13 *
14 **
15 ****
16 ****
17 ***
18 **
20 *****
21 *****
22 *****
23 **
24 **
25 *******
26 ********
27 ****
28 ****
29 ****
30 **
31 **
32 ******
33 ******
34 ***
35 ****
36 ****
37 **
38 *****
39 *****
40 **
41 ****
41.5 *
42 *
44 *
45 *
46 **
47 *

Scores by males

n = 117

0 *
3 *
5 *
7 *
10 *
11 **
12 **
14 **
15 ****
16 ****
17 ***
18 **
20 *****
21 *****
22 ***
23 **
24 **
25 ******
26 ********
27 ****
28 ****
29 ****
30 **
31 **
32 ******
33 ******
34 ***
35 ***
36 ****
37 *
38 *****
39 *****
40 **
41 ****
41.5 *
42 *
44 *
45 *
46 **
47 *

Scores by females

n = 9

2 *
4 *
12 *
13 *
22 **
25 *
35 *
37 *

Correlation of The Final Test with other mental ability tests

Test name n r
Chimera Test (Bill Bultas)50.99
The Hammer Of Test-Hungry40.97
Epiq Tests (aggregate)40.92
Verbal Insight Test40.91
Stanford-Binet50.90
Numerical section of The Marathon Test80.90
Numerical and spatial sections of The Marathon Test70.88
Strict Logic Spatial Exam 48 (Jonathan Wai)50.88
The Marathon Test80.88
Problems In Gentle Slopes of the first degree40.87
Qoymans Multiple-Choice #270.86
Spatial section of The Marathon Test80.85
Verbal section of Test For Genius - Revision 201670.82
Narcissus' last stand80.82
Verbal section of Test For Genius - Revision 2004260.81
Gliaweb Riddled Intelligence Test (old version)50.81
Chimera High Ability Riddle Test (Bill Bultas)80.81
Associative LIMIT170.80
Spatial Insight Test100.80
The Hammer Of Test-Hungry - Revision 201370.80
KIT Intelligence Test - first attempts70.80
Test of Shock and Awe170.79
The Final Test - Revision 201370.79
The Test To End All Tests360.79
Cartoons of Shock230.78
Test of the Beheaded Man120.78
Cooijmans On-Line Test - Two-barrelled version100.78
Long Test For Genius280.77
Analogies of Long Test For Genius330.77
Omega Contemplative Items Pool (Tommy Smith)70.76
Titan Test (Ronald K. Hoeflin)180.76
Short Test For Genius220.75
Reason Behind Multiple-Choice110.75
Scholastic Aptitude Test (old)100.74
A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude90.74
Test For Genius - Revision 201070.71
The Sargasso Test160.71
Reflections In Peroxide80.70
Test For Genius - Revision 2004220.70
G-test (Nikos Lygeros)60.70
Association subtest of Long Test For Genius320.70
Genius Association Test340.70
Cooijmans Intelligence Test - Form 1160.69
Psychometric Qrosswords80.69
Reason120.68
The Nemesis Test160.68
Ultra Test (Ronald K. Hoeflin)70.68
Qoymans Multiple-Choice #4230.67
Lieshout International Mesospheric Intelligence Test220.66
Verbal section of The Marathon Test90.66
Unknown and miscellaneous tests540.66
Cooijmans Intelligence Test - Form 3130.66
Concep-T (Laurent Dubois)40.64
Mega Test (Ronald K. Hoeflin)230.64
Test For Genius - Revision 201670.64
Qoymans Multiple-Choice #3200.63
Non-Verbal Cognitive Performance Examination (Xavier Jouve)130.61
Space, Time, and Hyperspace390.61
Psychometrically Activated Grids Acerbate Neuroticism40.60
Reason Behind Multiple-Choice - Revision 2008180.59
Analogies #1140.59
Tests by Ivan Ivec (aggregate)50.58
Cooijmans Intelligence Test - Form 2140.57
Reason - Revision 2008180.57
The Bonsai Test - Revision 201690.57
Cooijmans Intelligence Test - Form 4100.56
Cooijmans On-Line Test70.55
Spatial section of Test For Genius - Revision 2004250.55
Strict Logic Sequences Exam I (Jonathan Wai)160.55
Problems In Gentle Slopes of the third degree70.53
Sigma Test (Melão Hindemburg)70.52
Gliaweb Riddled Intelligence Test - Revision 201170.52
Test of Inductive Reasoning / J.C.T.I. (Xavier Jouve)60.50
Logima Strictica 36 (Robert Lato)140.49
Numerical section of Test For Genius - Revision 2010110.48
Raven's Advanced Progressive Matrices (raw)50.47
Numbers250.47
Bonsai Test120.46
F.N.A. (Xavier Jouve)40.46
Problems In Gentle Slopes of the second degree70.45
916 Test (Laurent Dubois)100.42
Qoymans Multiple-Choice #5180.41
Numerical Insight Test40.41
Letters70.38
Wechsler Adult Intelligence Scales130.37
The LAW - Letters And Words60.36
Culture Fair Numerical Spatial Examination - Final version (Etienne Forsström)130.34
Daedalus Test60.33
International High IQ Society tests (aggregate)190.33
Cattell Culture Fair100.32
Graduate Record Examination100.30
Combined Numerical and Spatial sections of Test For Genius - Revision 201070.29
Combined Numerical and Spatial sections of Test For Genius - Revision 201670.25
Miller Analogies Test (raw; old version)100.25
New York High I.Q. Society tests40.25
Hoeflin Power Test (Ronald K. Hoeflin)60.22
Isis Test130.21
Qoymans Multiple-Choice #1140.21
Words80.21
Cooijmans Intelligence Test 550.21
Odds90.20
Space, Time, and Hyperspace - Revision 201670.18
Strict Logic Sequences Exam II (Jonathan Wai)60.12
Encephalist - R (Xavier Jouve)50.11
W-87 (International Society for Philosophical Enquiry)150.07
Evens90.05
Tests by Greg Grove (aggregate)190.04
Qoymans Automatic Test #250.03
American College Testing program4-0.10
Raven's Advanced Progressive Matrices (I.Q.)9-0.11
Qoymans Automatic Test #16-0.17
Tests by Jason Betts (aggregate)5-0.19
Tests by Nicolas Elenas (aggregate)4-0.25
Sequentia Numerica Form I (Alexander Herkner)5-0.32
European I.Q. Test4-0.84

Weighted average of correlations: 0.576 (N = 1365)

Estimated g factor loading: 0.76

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 The Final Test with other tests - for females

Test name n r
(1) Cartoons of Shock21.00
(2) Cooijmans Intelligence Test - Form 321.00
(3) Qoymans Multiple-Choice #521.00
(10) Genius Association Test21.00
(24) Reason - Revision 200821.00
(28) The Test To End All Tests21.00
(40) Reason Behind Multiple-Choice - Revision 200821.00
(79) Association subtest of Long Test For Genius21.00
(106) Cooijmans Intelligence Test - Form 421.00
(109) The Bonsai Test - Revision 201621.00
(204) Chimera High Ability Riddle Test (Bill Bultas)21.00
(75) Analogies of Long Test For Genius30.96
(242) Unknown and miscellaneous tests30.93
(57) Space, Time, and Hyperspace30.37
(63) Long Test For Genius2-1.00

Weighted average of correlations: 0.812 (N = 33)

Estimated g factor loading among females: 0.90

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 2 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Estimated loadings of The Final Test 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 The Final Test on that type
Verbal3310.81
Numerical820.67
Spatial1160.79
Logical490.75
Heterogeneous3710.79

N = 949

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

Balanced g loading = 0.76

National medians for The Final Test

Country n median score
Germany539.0
United_Kingdom736.0
Canada632.5
Belgium629.0
Finland728.0
United_States4925.0
Sweden324.0
Australia423.5
Brazil321.0

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 with national I.Q.'s of The Final Test

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

Correlation of The Final Test with personal details

Personalia n r
PSIA Introverted - Revision 200740.90
PSIA True - Revision 200740.89
PSIA Aspergoid - Revision 200740.85
PSIA Deviance factor - Revision 200740.80
PSIA Ethics factor - Revision 200740.79
Observed associative horizon180.60
PSIA Extreme - Revision 200740.59
PSIA Rare - Revision 200740.43
PSIA Neurotic - Revision 200740.43
Observed behaviour280.36
Gifted Adult's Inventory of Aspergerisms220.22
Sex1260.21
PSIA Orderly - Revision 200740.20
Year of birth1190.18
Educational level690.06
Father's educational level610.02
Mother's educational level610.01
PSIA Antisocial - Revision 20074-0.00
Disorders (own)69-0.04
Disorders (parents and siblings)67-0.29
PSIA Rational - Revision 20074-0.34
PSIA Cold - Revision 20074-0.35
PSIA System factor - Revision 20074-0.52
PSIA Cruel - Revision 20074-0.54
PSIA Just - Revision 20074-0.74

Correlation with personal details of The Final Test - within females

Personalia n r
Father's educational level40.72
Educational level50.69
Year of birth90.54
Disorders (parents and siblings)5-0.69
Disorders (own)5-0.76

Correlation with personal details of The Final Test - within males

Personalia n r
PSIA Introverted - Revision 200740.90
PSIA True - Revision 200740.89
PSIA Aspergoid - Revision 200740.85
PSIA Deviance factor - Revision 200740.80
PSIA Ethics factor - Revision 200740.79
Observed associative horizon160.74
PSIA Extreme - Revision 200740.59
Observed behaviour250.46
PSIA Rare - Revision 200740.43
PSIA Neurotic - Revision 200740.43
Gifted Adult's Inventory of Aspergerisms210.22
PSIA Orderly - Revision 200740.20
Year of birth1100.07
Educational level640.05
Mother's educational level570.01
PSIA Antisocial - Revision 20074-0.00
Disorders (own)64-0.01
Father's educational level57-0.02
Disorders (parents and siblings)62-0.25
PSIA Rational - Revision 20074-0.34
PSIA Cold - Revision 20074-0.35
PSIA System factor - Revision 20074-0.52
PSIA Cruel - Revision 20074-0.54
PSIA Just - Revision 20074-0.74

Estimated g factor loadings for restricted ranges

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 these values to be lower than the test's full-range g loading.

Below 1st quartile0.60 (334)
Below median0.63 (693)
Above median0.66 (703)
Above 3rd quartile0.66 (249)

Reliability

Error

Scores by age

Age class n Median score
70 to 74112.0
65 to 69120.0
55 to 59423.5
50 to 541023.0
45 to 491429.0
40 to 441526.0
35 to 391627.0
30 to 342132.0
25 to 291630.5
22 to 24933.0
20 or 21435.0
18 or 19522.0
17229.5
16122.0
14114.0

N = 120

Scores by age - within females

Age class n Median raw
70 to 74112.0
55 to 5914.0
50 to 54225.0
45 to 49125.0
40 to 44212.0
35 to 39228.5

N = 9

Scores by age - within males

Age class n Median raw
65 to 69120.0
55 to 59326.0
50 to 54823.0
45 to 491333.0
40 to 441326.0
35 to 391427.0
30 to 342132.0
25 to 291630.5
22 to 24933.0
20 or 21435.0
18 or 19522.0
17229.5
16122.0
14114.0

N = 111

Scores by year taken

Year taken n median score
199614.0
19971021.5
1998315.0
1999722.0
20001427.5
20011527.0
2002924.0
20031027.0
20041830.5
20051426.0
2006224.0
2007338.0
2008631.0
2009334.0
2010635.0
2012141.5
2013113.0
2014139.0
2015116.0
201613.0
2018116.0

ryear taken × median score = 0.08 (N = 127)

Robustness and overall test quality

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.