Statistics for the Spatial section of the Test For Genius - Revision 2004

© November 2008 Paul Cooijmans

The 24 spatial problems in the TFG Revision 2004 are a revised version of Space, Time and Hyperspace, a subtest of the Long Test For Genius. Four less satisfactory problems have been removed and several other problems have been slightly revised to better lock in the solutions (there were often complaints about "too many possible answers").

As a result, this spatial section is somewhat easier than the earlier version (raw scores are not directly comparable between the old and new versions) and should have greater reliability and validity. It is not used as a test in its own right currently, but the below norms and statistics are informative if one has taken the TFG Revision 2004 and wishes to know how one did on the spatial section.

Norms Spatial section

Scores

0 ***
3 *
4 *
4.5 **
5 *
6 *
6.5 *
7 *
7.5 *
8 *
9 *
9.5 **
10 *
10.5 **
11 ***
12 ******
13 ***
13.5 *
14 *****
14.5 *
15 *
15.5 *
16 *
16.5 ***
17 ********
18 *****
19 *
20.5 *
21.5 *

Correlation with other tests

Test#cor
Test For Genius - Revision 2004600.93
Qoymans Multiple-Choice #350.92
Long Test For Genius130.87
Space, Time and Hyperspace170.85
Cooijmans Intelligence Test - Form 2160.84
The Test To End All Tests110.84
Titan Test50.80
Mysterium Entrance Exam100.80
Sigma Test50.79
Strict Logic Sequences Exam I120.78
International High IQ Society Miscellaneous tests70.75
Culture Fair Numerical Spatial Examination - Final version120.74
Nonverbal Cognitive Performance Examination130.70
Cartoons of Shock110.67
Association subtest of Long Test For Genius140.61
The Final Test180.56
Numbers100.55
Lieshout International Mesospheric Intelligence Test220.54
Bonsai Test80.51
Associative LIMIT Test110.50
Analogies of Long Test For Genius140.50
Verbal section of Test For Genius - Revision 2004600.49
Qoymans Multiple-Choice #4260.49
KIT Intelligence Test60.42
The Nemesis Test80.41
Reason Behind Multiple-Choice150.40
Logima Strictica 36100.40
Culture Fair Numerical Spatial Examination - C70.39
Test of Shock and Awe90.39
Qoymans Automatic Test #350.38
Reason160.35
The Sargasso Test60.30
Genius Association Test200.28
TRI50.24
Test of the Beheaded Man50.20
Spatial Insight Test80.16
Verbal section of The Marathon Test50.11
Strict Logic Spatial Exam 4880.09
Odds7-0.09
Cooijmans On-Line Test5-0.11
The Marathon Test5-0.32
Spatial section of The Marathon Test5-0.69
Numerical section of The Marathon Test5-0.71

Weighted average of correlations: 0.540

Conservatively estimated minimum g loading: 0.73

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 are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

National medians

Country# ScoresMedian score
Germany318.0
Canada215.5
Greece314.0
Sweden514.0
Australia413.0
Norway312.0
United_Kingdom512.0
Italy211.8
Finland311.0
United_States159.5

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 personal details

Personalia#cor
W-8730.97
PSIA Rational260.40
Observed behaviour is good140.40
Wechsler Adult Intelligence Scales60.37
Is male600.31
Educational level560.29
Raven's Advanced Progressive Matrices (I.Q.)30.18
Year of birth590.18
Father's educational level560.15
Raven's Advanced Progressive Matrices (raw)60.13
PSIA True260.12
Mother's educational level560.08
Is resident of the European Union290.08
PSIA Cruel260.08
PSIA Ethics factor320.07
PSIA Orderly260.07
PSIA Cold260.06
PSIA Just26-0.02
Number of characters in candidate's name as registered60-0.03
PSIA Neurotic26-0.05
Disorders (own)55-0.08
PSIA Rare26-0.11
PSIA Introverted26-0.11
PSIA System factor (phased out)8-0.12
PSIA Antisocial26-0.21
PSIA Deviance factor32-0.21
PSIA Extreme26-0.23
PSIA Aspergoid26-0.33
Disorders (parents and siblings)55-0.34
Cattell Culture Fair3-0.46
Gifted Adult's Inventory of Aspergerisms7-0.79

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 (For maximum sensitivity, all other tests are used for which at least two pairs are available). 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)
0.71 (616)NaN (0)
3.67 (594).77 (14)
6.59 (519).53 (75)
9.55 (473).64 (118)
12.53 (423).67 (249)
15.43 (217).65 (380)
17.49 (130).70 (538)
18.52 (33).69 (597)
19.69 (8).69 (603)
201.00 (4).69 (603)
21NaN (0).70 (610)
24NaN (0).71 (616)

Overall test quality