Numerical Insight Test - Statistics

© Feb 2007 Paul Cooijmans

This test can no longer be taken. It is now part of The Marathon Test.

Norms

RawProtonorm
31313
32333
33360
34367
35373
36380
37387
38393
39400
40405
41406
42408
43409
44413
45433
46487
47533
48567

Used for norming are scores from tests correlating .58 or higher with the Numerical Insight Test. The used scores are if needed converted to an IQ scale with a standard deviation of 15 [March 2008 the IQs were converted to protonorms using the initial protonorm formula]. Raw scores on the Numerical Insight Test are rank-equated to the other scores, and where needed there is interpolation or extrapolation.

Scores

31 *
33 *
37 *
39 *
44 *
45 *
46 ****
47 **
48 **

Correlation with other tests

Test#cor
Cooijmans Intelligence Test - Form 231
Reason30.99
Strict Logic Sequences Exam I70.82
Spatial Insight Test70.71
NVCPE50.66
Qoymans Multiple-Choice #470.58
Sigma Test30.19
Unknown tests3-0.93

Weighted average of correlations: 0.572

Conservatively estimated minimum g loading: 0.76

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 3 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# scoresAverage score
Germany544.2

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
PSIA System factor (phased out)70.55
PSIA True80.47
PSIA Ethics factor120.4
PSIA Cold80.27
PSIA Deviance factor120.23
Year of birth140.23
PSIA Rational80.16
PSIA Antisocial80.12
Educational level130.11
PSIA Introverted80.05
PSIA Aspergoid80.02
Mother's educational level130
PSIA Orderly8-0.02
PSIA Rare8-0.12
Father's educational level13-0.12
PSIA Just8-0.14
PSIA Extreme8-0.19
Disorders (own)13-0.37
PSIA Neurotic8-0.49
PSIA Cruel8-0.51

Correlation with national IQs

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

Scores by age

Age group# testeesAverage score
55 to 59133
45 to 49147
40 to 44139
35 to 39246
30 to 34346
25 to 29131
22 to 24148
20 or 21241.5
17144
16148

Scores by year taken

Year taken# testeesAverage score
2003444.8
2004538.4
2005546.4

Correlation year taken vs average score = 0.2
n = 14

Reliability and standard error

Using the "split-half" method:

Robustness

This is the reversed correlation between the chronological ranks and the scores of the test submissions. Higher numbers mean greater robustness, and a value of 1 means the scores are perfectly stable over time. This statistic is experimental, and its interpretation will have to be learnt by comparing it across statistical reports of different tests.

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from testees 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.

Most of this report was generated by software created 2002-present by Paul Cooijmans.