Statistics of Reason

Norms

Raw	Protonorm
0	193 or lower
1	234
2	237
3	240
4	243
5	247
6	250
7	254
8	257
9	261
10	264
11	280
12	294
13	295
14	296
15	298
16	299
17	317
18	322
19	324
20	327
21	329
22	330
23	331
24	332
25	333
26	334
27	335
28	336
29	337
30	338
31	339
32	340
33	341
34	342
35	343
36	345
37	346
38	347
39	348
40	349
41	350
42	351
43	352
44	353
45	354
46	355
47	356
48	357
49	358
50	359
51	360
52	361
53	362
54	364
55	365
56	366
57	367
58	368
59	368
60	368
61	368
62	368
63	368
64	369
65	379
66	371
67	372
68	373
69	374
70	375
71	376
72	377
73	378
74	379
75	380
76	385
77	386
78	387
79	388
80	389
81	390
82	391
83	392
84	395
85	411
86	413
87	420
88	440
89	441
90	442
91	443
92	452
93	454
94	493
95	590
96	733

Quality of norms: 0.44

Used for norming are all of the known scores from tests correlating 0.46 or higher with this test. The used scores are if needed converted to protonorms using the relevant conversion formula or table. The raw scores on this test that form pairs with the used scores are rank-equated to the used scores, and where needed there is interpolation or extrapolation.

Scores

# candidates: 30
Median score: 79.0
Quartile deviation: 16.0
Maximum possible score: 96
Mean: 67.5
Standard deviation: 27.69
Male mean: 67.5
No females have taken this test yet.
Hardness: 0.30
Resolution: 1.00

0	*
11	*
17	*
20	*
32	*
36	*
40	*
56	*
59	*
63	*
64	*
71	*
75	*
76	*
79	**
80	*
84	*
85	**
87	**
88	*
89	*
92	*
93	*
94	***
95	*

Correlation with other tests

Test	#	cor
Cooijmans OnLine Test	5	0.96
Reason Behind Multiple-Choice	22	0.80
Bonsai Test	5	0.63
Verbal section of Test For Genius - Revision 2004	14	0.60
Test of Shock and Awe	6	0.59
Analogies of Long Test For Genius	5	0.58
Test of the Beheaded Man	5	0.56
The Test To End All Tests	5	0.53
Test For Genius - Revision 2004	14	0.49
Cooijmans Intelligence Test - Form 2	8	0.46
Genius Association Test	9	0.39
Space, Time and Hyperspace	6	0.35
NVCPE	5	0.33
Spatial section of Test For Genius - Revision 2004	14	0.32
Spatial Insight Test	10	0.31
Associative LIMIT Test	8	0.28
Lieshout International Mesospheric Intelligence Test	16	0.23
Qoymans Multiple-Choice #4	22	0.16
Logima Strictica 36	7	0.10
Qoymans Multiple-Choice #3	5	-0.02
Culture Fair Numerical Spatial Examination - Final version	5	-0.04
KIT Intelligence Test	6	-0.04
Numbers	5	-0.18
Strict Logic Sequences Exam I	8	-0.20
Association subtest of Long Test For Genius	5	-0.33

Weighted average of correlations: 0.348

Conservatively estimated minimum g loading: 0.59

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 averages

Country	# scores	Average score
Canada	2	91.0
Spain	2	86.5
Finland	2	81.5
United_Kingdom	2	75.0
United_States	9	65.2
Sweden	2	26.5
Netherlands	2	25.5

For reasons of privacy, only countries with 2 or more candidates are included in this table. Ranking is based on the unrounded averages.

Correlation with personal details

Personalia	#	cor
Father's educational level	28	0.39
PSIA Cruel	13	0.30
PSIA Cold	13	0.22
Mother's educational level	29	0.21
Year of birth	29	0.15
PSIA Introverted	13	0.13
PSIA Deviance factor	20	0.07
PSIA Neurotic	13	0.06
PSIA Orderly	13	-0.01
PSIA System factor (phased out)	9	-0.06
PSIA Rational	13	-0.07
Is resident of the European Union	14	-0.07
PSIA Extreme	13	-0.09
Disorders (parents and siblings)	29	-0.09
PSIA Aspergoid	13	-0.09
PSIA Antisocial	13	-0.13
Observed behaviour is good	9	-0.13
PSIA Just	13	-0.15
PSIA Rare	13	-0.18
Educational level	29	-0.22
PSIA Ethics factor	20	-0.23
Disorders (own)	29	-0.24
PSIA True	13	-0.27

Correlation with national IQs

Correlation of this test with national average IQs published by Lynn and Vanhanen:

r = 0.01
n = 29

Reliability and standard error

Using the "split-half" method:

Rel = 0.97
SE = 4.7 raw score points

Scores by age

Age group	# Candidates	Average score
60 to 64	1	20.0
55 to 59	1	56.0
50 to 54	1	32.0
45 to 49	1	76.0
40 to 44	2	81.5
35 to 39	7	73.1
30 to 34	4	85.3
25 to 29	3	71.0
22 to 24	2	60.5
20 or 21	4	69.5
18 or 19	3	56.0

Scores by year taken

Year taken	# Candidates	Average score
2003	4	69.8
2004	9	71.9
2005	8	68.9
2006	3	49.0
2007	4	85.3
2008	2	47.5

Correlation year taken vs average score = -0.33
n = 30

Robustness and overall test quality

Rob = 1.00
Quality = 0.77

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 (validity of the item in this test) 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.

0	*
11	*
17	*
20	*
32	*
36	*
40	*
56	*
59	*
63	*
64	*
71	*
75	*
76	*
79	**
80	*
84	*
85	**
87	**
88	*
89	*
92	*
93	*
94	***
95	*

0	*
11	*
17	*
20	*
32	*
36	*
40	*
56	*
59	*
63	*
64	*
71	*
75	*
76	*
79	**
80	*
84	*
85	**
87	**
88	*
89	*
92	*
93	*
94	***
95	*

0	*
11	*
17	*
20	*
32	*
36	*
40	*
56	*
59	*
63	*
64	*
71	*
75	*
76	*
79	**
80	*
84	*
85	**
87	**
88	*
89	*
92	*
93	*
94	***
95	*