Statistics of Numbers

© July 2001 Paul Cooijmans

Note: this is a number series test; very unfortunately, criminals are publishing many number series from tests with the answers on the Internet without permission from the tests' authors. It is therefore easy to cheat on such tests, and unwise to accept the tests' scores for admission to IQ societies.

I still score the test because there are people who like taking number series tests, but I do not intend to create new such tests.

I regret this problem especially in the case of this particular test, because it originally was an integral part of my Test For Genius from 1995. After discovering the copyright violation I felt forced to violate the integrity of that extremely beautiful, profound and brilliant creation by removing the numerical subtest. It is sad, but apparently there are people whose dishonesty and desire to help other dishonest persons - cheaters - is so great that they completely disregard intellectual property and the natural necessity to keep test answers secret. Our contempt for them can never be deep enough.

Norms

Raw Protonorm
080 or lower
1120
2153
3180
4207
5240
6 267
7 280
8 300
9 327
10 367
11 393
12 433
13 459
14 461
15 507
16 547
17 559
18 561
19 587
20 673 or higher

Numbers consists of 20 number series. Below the scores so far; rounded off to whole numbers for this norming. Numbers is no longer used for admission because of illegal unauthorized answer publication. There may be fraudulent scores among these. I cannot verify fraud and do not accuse anyone, but it is reasonable to assume about 4 of the upper 10 scores might be fraudulent. If so, norms resulting below will be TOO LOW for that range as a direct result (since norms are based on prior scores), so possible culprits punish themselves automatically.

6*
7*
8***
9***** *
10***** ***** **
11***** **
12***** **
13***
14**
15***** **
16***
17**
18*
19*****
20**

Correlation with other tests:

Test # cor
Tests To End All Tests 3 .97
Final Test 10 .94
Ultra Test 4 .93
Test For Genius (short) 21 .87
A-x 10 .83
Mega Test 18 .74
CHART 5 .64
Drenth Number Series 4 .55
CIT 10 .52
Titan Test 9 .5
Cattell Culture Fair 11 .46
Rest 38 .4
Unspecified Mensa Tests 7 .2
Raven APM 15 -.02
Hoeflin Power 6 -.08
W-87 4 -.36

The "Rest" are Nemesis, Chimera Test, Analogies #1, Grail Test, SAT, Concept Mastery, GRE, GMAT, WAIS, LAIT, Stanford-Binet, LSFIT, EIT, IST-70, Thinkfast, CTMM, Drenth Analogies, Quest, NUTE, Wonderlic Personnel Test, ACT, New York High IQ Society Test, Mysterium Entrance.

Used for norming are tests correlating higher than .5. 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.

Addition 2005

Scores so far

# testees: 98
Mean: 11.81
SD: 3.26
Male mean: 11.95
Female mean: 9.2 (5 persons)

6*
7**
8*******
9************
10**************************
11*********
12*********
13*******
14***
15*******
16***
17****
18*
19******
20*

National averages

Country# scoresAverage score
Belgium713.9
Germany413.8
United_Kingdom413.5
France512.2
Finland412
United_States2111.8
Greece211.5
Canada311.3
Netherlands1311.1
Brazil310.7
Sweden310.7
Italy210.5
Argentina210
Japan210
Norway210
Singapore29.5

Correlation with other tests

Test#cor
Early experimental association tests60.92
Association and Analogies (French)50.91
Analogies of French LTFG50.9
Short Test For Genius270.87
French Long Test For Genius50.86
Odds60.82
Test To End All Tests80.82
Association Subtest of French LTFG50.79
Unknown tests140.77
Mysterium Entrance Exam70.73
Mega Test230.72
Final Test150.71
Analogies of Dutch LTFG120.69
Logima Strictica 3670.69
Dutch Long Test For Genius120.69
Sigma Test120.69
CHART60.64
NVCP100.63
Analogies #170.59
Titan Test130.58
Genius Association Test80.57
Long Test For Genius260.57
Space, Time & Hyperspace540.57
WAIS60.54
Association Subtest of LTFG300.53
Spatial Insight Test50.53
Qoymans Multiple-Choice #3140.47
Qoymans Multiple-Choice #490.42
Cooijmans Intelligence Test190.41
Analogies of LTFG300.39
Test of Shock and Awe60.39
Evens80.38
Test For Genius - Revision 200450.25
Qoymans Multiple-Choice90.24
Association Subtest of Dutch LTFG120.22
Ultra Test60.22
W8760.19
Bonsai Test120.17
Raven APM110.11
Cattell Culture Fair150.06
Strict Logic Sequences Exam80.01
Power Test6-0.06
Raven APM Raw Score8-0.13
GRE5-0.44
Encephalist-R5-0.68

Correlation with personal details

Personalia#cor
PSIA True120.77
PSIA Just120.46
PSIA Rare120.43
PSIA Extreme120.4
PSIA System120.37
PSIA Ethics230.34
PSIA Antisocial120.31
PSIA Deviance230.19
PSIA Orderly120.16
PSIA Aspergoid120.15
Educational level260.13
PSIA Introverted120.12
PSIA Neurotic120.12
PSIA Rational120.09
Year of birth66-0.05
Father's eduational level26-0.1
Mother's educational level26-0.17
Disorders (parents and siblings)26-0.22
Disorders (own)26-0.26
PSIA Cold12-0.36
PSIA Cruel12-0.38

Correlation with national IQs

.05 over 86 pairs.

Reliability and standard error of measurement

Rel = 0.86
SE = 1.2

Scores by age

Age group# testeesAverage score
80 to 8417
70 to 74110
60 to 64212.5
55 to 59311.3
50 to 54811.1
45 to 49313
40 to 441310.3
35 to 39913.2
30 to 34913.1
25 to 291211.6
22 to 2469.8
20 or 21513.2
18 or 1949.5
17211.5
16111

Scores by year taken

Year taken# testeesAverage score
1995210.5
19961610.2
1997311
19981212.3
19992114.2
2001910.7
2002412.8
2003710.6
20041310.8
2005910.3

Correlation year taken vs average score = -0.06
n = 96