# Qoymans Multiple-Choice #2 statistics

## Introduction

This test consisted of items created by Jonathan Wai and was scored by Jonathan Wai.

## Scores on Qoymans Multiple-Choice #2 as of 13 September 2024

Contents type: Verbal.   Period: 2002-2002

• n: 412
• Median: 15.0
• Quartile deviation: 5.5
• Range: 53
• Maximum possible: 50
• Minimum possible: -50
• Male median: 17.0 (n = 233)
• Female median: 13.0 (n = 120)
• Unknown sex median: 13.0 (n = 59)
• Proportion of males among candidates: 0.566
• Hardness: 0.35
• Resolution: 0.48
 -12 ** -11 * -9 ** -6 * -5 ** -4 ** -2 ** -1 ***** 0 ** 1 ** 2 *** 3 **** 4 ***** 5 ***** 6 **************** 7 ********* 8 ************* 9 ************ 10 *************************** 11 ***************** 12 *********************** 13 *************************** 14 ************ 15 ******************* 16 ********************** 17 ********************* 18 ***************************** 19 ********** 20 ************* 21 *********** 22 **************** 23 ********** 24 ****** 25 ****** 26 ********* 27 ************* 28 ********* 29 ** 30 **** 31 **** 32 ** 33 ** 34 * 36 **** 37 * 38 *** 40 *

Remark: This test has attracted an enormous number and proportion of female candidates, compared to other high-range tests.

## Scores by males

n = 233

 -12 * -9 * -5 * -4 * -2 * -1 ** 1 * 2 * 3 ** 4 *** 5 * 6 ******** 7 ** 8 ******** 9 ****** 10 ************** 11 ********* 12 ********* 13 *************** 14 ***** 15 ******** 16 ************ 17 ************ 18 ****************** 19 ******** 20 ******** 21 ******* 22 *********** 23 ******* 24 * 25 **** 26 ****** 27 ************* 28 ******* 29 * 30 **** 31 *** 32 ** 33 ** 36 **** 37 * 38 ** 40 *

## Scores by females

n = 120

 -12 * -11 * -9 * -4 * -1 ** 0 ** 2 ** 3 * 5 *** 6 ****** 7 ***** 8 ** 9 ***** 10 ********* 11 **** 12 ************ 13 ********* 14 ***** 15 ******** 16 ******** 17 ****** 18 ***** 19 * 20 **** 21 *** 22 **** 23 *** 24 *** 25 ** 29 * 38 *

## Correlation of Qoymans Multiple-Choice #2 with other mental ability tests

Test name n r
Odds40.96
Queendom Culture Fair30.95
American College Testing program60.92
Tests by Nicolas Elenas (aggregate)50.91
Miller Analogies Test (raw; old version)30.89
The Final Test70.86
Strict Logic Sequences Exam I (Jonathan Wai)40.84
Spatial Insight Test30.82
916 Test (Laurent Dubois)30.77
Qoymans Multiple-Choice #3 (batch scored by Paul Cooijmans)70.68
Evens100.67
Psychometric Qrosswords30.65
Qoymans Automatic Test #270.53
Scholastic Aptitude Test (old)110.51
Qoymans Multiple-Choice #490.50
The Test To End All Tests50.50
Lieshout International Mesospheric Intelligence Test30.50
Emode I.Q. tests50.44
Associative LIMIT30.42
Non-Verbal Cognitive Performance Examination (Xavier Jouve)60.41
New York High I.Q. Society tests70.40
Qoymans Multiple-Choice #3 (batch scored by Jonathan Wai)120.36
Qoymans Multiple-Choice #1260.34
Tests by Greg Grove (aggregate)70.32
Space, Time, and Hyperspace130.30
F.I.T.R. 3 (Xavier Jouve)30.29
Association subtest of Long Test For Genius130.28
Logima Strictica 36 (Robert Lato)50.22
Qoymans Automatic Test #180.21
Genius Association Test80.20
Miscellaneous tests350.19
Analogies of Long Test For Genius100.07
Qoymans Multiple-Choice #530.01
International High IQ Society tests (aggregate)13-0.01
Encephalist - R (Xavier Jouve)3-0.06
Long Test For Genius8-0.10
Bonsai Test3-0.30
Analogies #17-0.31
Isis Test3-0.31
Reason - Revision 20083-0.32
Omega Contemplative Items Pool (Tommy Smith)5-0.34
Reason Behind Multiple-Choice - Revision 20083-0.37
Cooijmans Intelligence Test - Form 13-0.98
Numbers3-0.99

Weighted average of correlations: 0.307 (N = 331)

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, including possible floor/ceiling scores or outliers.

Remark: Only a small fraction of candidates reported scores on other tests.

These are estimated g factor loadings, but against homogeneous tests (containing only particular item types) as opposed to non-compound heterogeneous tests. Although tending to surprise the lay person, it is not uncommon for tests to have high loadings on item types they do not actually contain themselves. Such loadings reflect the empirical fact that most tests for mental abilities measure primarily g, regardless of their contents; that the major part of test score variance is caused by g, and only a minor part by factors germane to particular item types. It is of key importance to understand that this is a fact of nature, a natural phenomenon, and not something that was built into the tests by the test constructors.

Verbal1130.59
Numerical210.72
Spatial190.64
Logical3-0.56
Heterogeneous440.50

N = 200

Compound tests have been left out of this table to avoid overlap.

## National medians for Qoymans Multiple-Choice #2

Country n median score
Netherlands326.0
United_States1224.5
Sweden420.0
Belgium310.0

For reasons of privacy, only countries with 3 or more candidates are included in this table. Ranking is based on the medians, and then alphabetic.

Remark: Personal information like country of origin has only been reported by a small fraction of candidates.

## Correlation with national I.Q.'s of Qoymans Multiple-Choice #2

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

• r = -0.06 (n = 30)

## Correlation of Qoymans Multiple-Choice #2 with personal details

Personalia n r
Observed behaviour70.48
Sex3530.24
Disorders (parents and siblings)160.18
Father's educational level150.17
Educational level160.16
Year of birth41-0.12
Disorders (own)17-0.19
Mother's educational level15-0.23

In parentheses the number of score pairs on which that estimated g factor loading is based. The goal of this is to verify the hypothesis that g becomes less important, accounts for a smaller proportion of the variance, at higher I.Q. levels. The mere fact of restricting the range like this also depresses the g loading compared to computing it over the test's full range, so it would be normal for these values to be lower than the test's full-range g loading.

Below 1st quartile 0.48 (41) -0.30 (74) 0.64 (269) 0.65 (183)

## Reliability and error

Can not be computed because the item scores have not been recorded.

## Scores by age

Age class n Median score
55 to 59234.0
50 to 5429.5
45 to 49522.0
40 to 44327.0
35 to 39619.5
30 to 34128.0
25 to 29826.5
22 to 24425.0
20 or 21318.0
18 or 19327.0
17122.0
1627.5
15115.0

N = 41

Remark: Only a tenth of candidates have reported age.

## Scores by year taken

Year taken n median scoreprotonorm
200241215.0329

## Robustness and overall test quality

Remark: Robustness can not be computed because the date or chronological order of test submissions has not been recorded.

## Item analysis

Item statistics are not published as that would help candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score on the remaining problems (item-rest correlation) and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are revised, replaced, or removed, possibly resulting in a revised version of the test.