The Final Test statistics

© May 2003 Paul Cooijmans

Norms

The scores so far (62 scores):

02*
04*
05*
12**
14*
15***
16*
17**
18**
20***
21***
22****
23**
24**
25****
26***
27**
28*
29**
31**
32***
33***
34**
36**
38****
39**
42*
45*
46*
47*

Correlation with other tests:

Test#cor
Chimera Test40.99
Test To End All Tests90.93
Titan Test90.9
Long Test For Genius160.88
Sigma Test40.85
OCIP50.84
Analogies of LTFG180.8
SAT (old)70.8
CHART70.79
Short Test For Genius150.79
Mysterium Entrance Exam40.78
Association Subtest of LTFG190.77
Space, Time & Hyperspace210.77
Mega Test170.71
G-Test40.67
Nemesis Test40.63
Numbers130.61
Cooijmans Intelligence Test110.6
GRE70.42
Logima Strictica 3650.42
Analogies #170.36
Unknown tests90.29
Miller Analogies80.15
W87130.15
Evens50.05
Encephalist-R4-0.02
Opus4-0.07
Qoymans Multiple-Choice8-0.14
Power Test4-0.29

Mean correlation: 0.532

For norming, used are tests correlating .79 or higher. Raw and prior scores are arranged in two columns of numerical order, the highest raw score facing the highest prior IQ (prior scores are if needed converted to an IQ scale with 15 points per standard deviation), etc. For each raw score, the median of the IQs facing it is used to norm that score. Scores 48 to 52 are extrapolated.

Addition October 2010

© Oct. 2010 Paul Cooijmans

Scores

0 *
2 *
4 *
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 ****
42 *
44 *
45 *
46 **
47 *

Scores by males

n = 111

0 *
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 ****
42 *
44 *
45 *
46 **
47 *

Scores by females

n = 8

2 *
4 *
12 *
22 **
25 *
35 *
37 *

Correlation with other tests by Paul Cooijmans

Test n r
Test of the Beheaded Man60.84
Qoymans Multiple-Choice #260.83
Intelligence Quantifier by assessment230.83
KIT Intelligence Test70.80
Test of Shock and Awe170.79
Analogies of Long Test For Genius320.78
Verbal section of Test For Genius - Revision 2004220.77
Long Test For Genius270.76
The Test To End All Tests320.76
Cartoons of Shock170.75
Reason Behind Multiple-Choice110.75
Spatial Insight Test100.74
Short Test For Genius200.73
Associative LIMIT Test130.71
Test For Genius - Revision 2004220.70
Association subtest of Long Test For Genius310.70
Cooijmans Intelligence Test - Form 1160.69
Reason120.68
Psychometric Qrosswords50.68
Qoymans Multiple-Choice #4230.67
Qoymans Multiple-Choice #3190.66
Genius Association Test280.64
Lieshout International Mesospheric Intelligence Test180.63
Cooijmans On-Line Test60.61
The Nemesis Test140.61
Analogies #1120.60
Space, Time and Hyperspace380.60
Cooijmans Intelligence Test - Form 2140.57
Spatial section of Test For Genius - Revision 2004220.55
Numbers250.47
Bonsai Test120.46
Qoymans Multiple-Choice #5100.32
Reason Behind Multiple-Choice - Revision 2008100.29
Qoymans Multiple-Choice #1140.21
Reason - Revision 2008100.20
Isis Test110.13
Odds80.07
Evens90.05
Qoymans Automatic Test #250.03
Qoymans Automatic Test #16-0.17

Weighted average of correlations: 0.616

Conservatively estimated minimum g loading: 0.78

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Correlation with tests by others

Test n r
Stanford-Binet50.90
Strict Logic Spatial Exam 4850.88
Chimera High Ability Riddle Test80.81
Omega Contemplative Items Pool70.76
Titan Test180.76
Scholastic Aptitude Test (old)100.74
G-test60.70
Strict Logic Sequences Exam I120.69
Ultra Test60.64
Mega Test220.62
Culture Fair Numerical Spatial Examination - C50.62
Nonverbal Cognitive Performance Examination130.61
Unknown tests150.58
Sigma Test70.52
T.R.I.50.50
Logima Strictica 36110.45
Culture Fair Numerical Spatial Examination - Final version110.39
Cattell Culture Fair80.38
International High IQ Society Miscellaneous tests80.34
916 Test90.32
Graduate Record Examination100.30
Miller Analogies Test (raw; old version)100.25
Mysterium Entrance Exam130.23
Encephalist - R50.11
International High IQ Society Verbal Test130.10
W-87140.07
Wechsler Adult Intelligence Scales9-0.12
Raven's Advanced Progressive Matrices (I.Q.)8-0.13
Hoeflin Power Test5-0.33

Weighted average of correlations: 0.443

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

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.

National medians

Country n Median score
Germany439.5
United_Kingdom736.0
Israel234.0
Canada632.5
Denmark232.5
Belgium629.0
Finland728.0
Malta226.5
United_States4725.0
Sweden324.0
Australia423.5
Greece222.0
Brazil321.0
Singapore21.0

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 personal details

Personalia n r
Observed associative horizon is wide140.39
Observed behaviour is good260.29
P.S.I.A. Ethics factor360.29
P.S.I.A. True210.21
Is male1190.20
Gifted Adult's Inventory of Aspergerisms160.20
P.S.I.A. Orderly210.19
Year of birth1130.19
P.S.I.A. Cold210.16
P.S.I.A. System factor180.16
Father's educational level540.11
P.S.I.A. Extreme210.10
Mother's educational level540.06
P.S.I.A. Deviance factor360.04
P.S.I.A. Rare210.02
P.S.I.A. Rational210.00
Educational level56-0.02
P.S.I.A. Introverted21-0.04
P.S.I.A. Neurotic21-0.07
Disorders (own)57-0.07
P.S.I.A. Aspergoid21-0.11
P.S.I.A. Antisocial21-0.12
P.S.I.A. Cruel21-0.25
Disorders (parents and siblings)55-0.32
P.S.I.A. Just21-0.45

Correlation with personal details - within females

Personalia n r
Father's educational level30.90
Year of birth80.61

Correlation with national I.Q.s

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

Estimated g factor loadings Upward and Downward of specific scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The Upward and Downward values are calculated including the pertinent score itself. It is normal that g factor loadings go down when the range is restricted like this, but careful study of the Upward and Downward columns may reveal possible scores below or above which the test loses validity altogether.

ScoreUpward (n)Downward (n)
0.78 (706)NaN (0)
6.75 (681).82 (12)
10.75 (681).36 (18)
13.74 (673)-.30 (26)
16.71 (631).64 (90)
20.71 (595).61 (130)
27.74 (408).68 (321)
34.70 (181).69 (535)
38.71 (83).72 (632)
39.53 (56).74 (648)
40-.38 (34).74 (658)
41-.21 (22).76 (675)
44-.77 (16).76 (675)
47NaN(0).78 (706)

Reliability

Error

Scores by age - within females

Age class n Median score
70 to 74112.0
55 to 5914.0
50 to 54137.0
45 to 49125.0
40 to 44212.0
35 to 39122.0

Scores by age - within males

Age class n Median score
55 to 59223.5
50 to 54533.0
45 to 491133.0
40 to 441126.0
35 to 391127.0
30 to 341832.0
25 to 291230.5
22 to 24933.0
20 or 21435.0
18 or 19424.0
17229.5
16122.0
14114.0

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

ryear taken × median score = 0.82 (n = 121)

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.