Long Test For Genius statistics

Note: This report concerns the English version of the L.T.F.G.

Norms

Scores

The test consists of 3 subtests: Association (39 items), Analogies (39) and Space, Time and Hyperspace (28). Spatial items are weighted by 3 in Total score (G). The scores so far out of 162:

# testees: 60
Mean: 64.4
SD: 20.72
Male mean: 65.6
Female mean: 53.5 (6 persons)

13*
27**
29*
30*
34**
36*
38*
43*
45*
46*
47*
48*
49*
53*
54***
55*
57**
58*
61**
62*
63**
64*
66**
68*
69*
70*
71*
72**
73*
75***
76*
77*
78***
79**
84*
85*
87***
90**
94*
95*
98*
102*
108*

Correlation with other tests

Test	#	cor
Miller Analogies	4	0.92
Space, Time & Hyperspace	60	0.91
Final Test	16	0.88
Test To End All Tests	5	0.87
Cooijmans Intelligence Test	8	0.85
Analogies of LTFG	60	0.78
Association Subtest of LTFG	60	0.75
Short Test For Genius	9	0.73
Bonsai Test	4	0.68
Numbers	20	0.65
Titan Test	5	0.61
SAT (old)	6	0.58
Sigma Test	4	0.54
Unknown tests	6	0.53
NVCP	5	0.4
Qoymans Multiple-Choice #3	8	0.37
Cattell Culture Fair	7	0.3
Mega Test	11	0.28
Mysterium Entrance Exam	5	0.2
Logima Strictica 36	5	0.19
W87	8	0.19
WAIS	4	0.07
Qoymans Multiple-Choice #2	6	-0.15
GRE	4	-0.22
Analogies #1	5	-0.25
Encephalist-R	4	-0.32
Qoymans Multiple-Choice	7	-0.47
Raven APM	6	-0.65

Used for norming are the scores from tests correlating .85 or higher. Raw and prior scores, converted to the same scale if needed, are put in two columns of numerical order, the highest facing the highest etc. Norms are obtained by equating the ranks of the raw and prior scores. Scores outside 13 and 108 are extrapolated.

Intercorrelations of the subtests

Association - Analogies: .7
Association - Space, Time and Hyperspace (STH): .46
Analogies - STH: .52

Additional statistics October 2008

Paul Cooijmans

Scores

# Candidates: 83
Median: 68.0
Quartile deviation: 13.0
Range: 95
Maximum possible: 162
Mean: 65.3
Standard deviation: 20.18
Male median: 67.0
Female median: 72.0 (# females: 7)
Hardness: 0.58
Resolution: 0.81

13	*
27	**
29	*
30	*
34	***
35	*
36	*
37	*
38	**
43	*
45	*
46	*
47	*
48	*
49	*
52	*
53	*
54	***
55	*
57	**
58	**
59	*
61	**
62	*
63	****
64	*
66	***
68	**
69	*
70	**
71	*
72	***
73	***
75	***
76	*
77	*
78	***
79	****
80	*
82	**
84	*
85	*
87	***
88	*
90	**
94	*
95	*
98	**
102	**
108	*

Scores by males

n = 76

27	*
29	*
30	*
34	**
35	*
36	*
37	*
38	**
43	*
45	*
46	*
47	*
48	*
49	*
52	*
53	*
54	***
55	*
57	**
58	**
59	*
61	**
62	*
63	****
64	*
66	***
68	**
69	*
70	**
71	*
72	**
73	***
75	***
76	*
78	***
79	****
80	*
82	*
84	*
85	*
87	***
88	*
90	**
94	*
95	*
98	*
102	**
108	*

Scores by females

n = 7

13	*
27	*
34	*
72	*
77	*
82	*
98	*

Correlation with other tests

Test	#	cor
Spatial Insight Test	5	1.00
Space, Time and Hyperspace	83	0.92
TRI	6	0.91
Cooijmans Intelligence Test - Form 2	5	0.87
The Nemesis Test	6	0.86
Test For Genius - Revision 2004	12	0.84
Spatial section of Test For Genius - Revision 2004	12	0.81
Bonsai Test	8	0.79
The Final Test	27	0.76
Analogies of Long Test For Genius	83	0.76
Association subtest of Long Test For Genius	83	0.74
Miller Analogies Test (raw)	5	0.73
Short Test For Genius	12	0.72
Cooijmans Intelligence Test - Form 1	14	0.72
Nonverbal Cognitive Performance Examination	15	0.69
Strict Logic Sequences Exam I	7	0.65
Associative LIMIT Test	5	0.65
Qoymans Multiple-Choice #4	13	0.65
Genius Association Test	18	0.64
Test of Shock and Awe	7	0.63
Cartoons of Shock	5	0.62
The Test To End All Tests	12	0.61
Titan Test	8	0.59
Scholastic Aptitude Test (old)	6	0.58
Numbers	26	0.57
Qoymans Multiple-Choice #3	17	0.55
Verbal section of Test For Genius - Revision 2004	12	0.55
Culture Fair Numerical Spatial Examination - Final version	5	0.47
Unknown tests	7	0.46
Graduate Record Examination	6	0.42
Lieshout International Mesospheric Intelligence Test	8	0.38
Logima Strictica 36	9	0.30
Analogies #1	8	0.29
Mega Test	11	0.28
Mysterium Entrance Exam	9	0.26
Sigma Test	10	0.22
Encephalist - R	6	0.11
Qoymans Multiple-Choice #2	8	-0.10
Qoymans Multiple-Choice #1	9	-0.14
International High IQ Society Verbal Test	6	-0.30

Weighted average of correlations: 0.656

Conservatively estimated minimum g loading: 0.81

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	# Scores	Median score
Canada	3	82.0
Australia	3	77.0
Finland	5	75.0
United_Kingdom	8	74.0
Greece	3	63.0
Sweden	7	63.0
United_States	24	63.0
Norway	2	54.5

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
Is resident of the European Union	4	0.83
Observed behaviour is good	12	0.82
PSIA Rational	8	0.78
Observed associative horizon is wide	8	0.69
PSIA Just	8	0.51
PSIA True	8	0.42
PSIA Ethics factor	24	0.40
PSIA Orderly	8	0.40
Wechsler Adult Intelligence Scales	5	0.32
PSIA Introverted	8	0.27
PSIA Antisocial	8	0.22
W-87	8	0.19
PSIA System factor (phased out)	17	0.17
Is male	83	0.12
Educational level	28	0.10
PSIA Deviance factor	24	0.09
PSIA Cold	8	0.08
Year of birth	80	0.02
PSIA Extreme	8	0.01
PSIA Cruel	8	-0.03
Disorders (parents and siblings)	27	-0.04
Number of characters in candidate's name as registered	83	-0.05
Disorders (own)	27	-0.05
Cattell Culture Fair	10	-0.06
PSIA Rare	8	-0.06
PSIA Neurotic	8	-0.10
PSIA Aspergoid	8	-0.11
Father's educational level	25	-0.21
Mother's educational level	25	-0.43
Raven's Advanced Progressive Matrices (I.Q.)	10	-0.55
Gifted Adult's Inventory of Aspergerisms	12	-0.58

Correlation with personal details - within females

Personalia	#	cor
Year of birth	7	0.46
Number of characters in candidate's name as registered	7	0.08

Correlation with national I.Q.s

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

r = 0.02
n = 67

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.

Score	Upward (n)	Downward (n)
10	.80 (710)	NaN (0)
20	.79 (707)	NaN (0)
30	.79 (696)	.46 (17)
40	.74 (590)	.60 (84)
50	.74 (517)	.72 (143)
60	.69 (420)	.68 (239)
70	.65 (310)	.72 (368)
80	.65 (151)	.73 (525)
90	.69 (51)	.76 (655)
100	.90 (13)	.78 (686)
110	NaN (0)	.80 (710)

Overall test quality

Quality: 0.82

Subtest statistics

For statistics of the subtests Association, Analogies, and "Space, Time and Hyperspace", see the separate statistical reports for each of those.