Statistics of Daedalus Test

© April 2018 Paul Cooijmans

Norms

Scores on Daedalus Test

Contents type: Logical.   Period: 1999-present

-1 *******
0 ***********
132 *
204 *
206 **
208 *
211 *
220 *
221 ***
222 **

Correlation of Daedalus Test with other tests by Paul Cooijmans

(Test index) Test name n r
(33) Problems In Gentle Slopes of the first degree40.93
(47) Psychometrically Activated Grids Acerbate Neuroticism70.92
(68) Numbers40.89
(106) Cooijmans Intelligence Test - Form 450.89
(46) Labyrinthine LIMIT110.88
(104) The Final Test - Revision 201340.88
(111) Test For Genius - Revision 201640.86
(107) The Alchemist Test40.70
(43) Test For Genius - Revision 201050.70
(108) Verbal section of Test For Genius - Revision 201640.68
(21) Psychometric Qrosswords70.67
(42) The Marathon Test60.66
(2) Cooijmans Intelligence Test - Form 380.64
(103) Problems In Gentle Slopes of the second degree70.63
(35) Intelligence Quantifier by assessment90.61
(30) Verbal section of The Marathon Test60.61
(1) Cartoons of Shock50.58
(18) The Nemesis Test70.55
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 201070.53
(12) Cooijmans On-Line Test - Two-barrelled version80.53
(31) Numerical section of The Marathon Test80.53
(11) Isis Test90.50
(48) Narcissus' last stand60.49
(45) Numerical and spatial sections of The Marathon Test80.46
(44) Associative LIMIT50.42
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude70.39
(25) The Sargasso Test60.39
(36) Reflections In Peroxide70.38
(19) Numerical section of Test For Genius - Revision 2010110.38
(32) Spatial section of The Marathon Test80.37
(0) Test of the Beheaded Man90.35
(7) The Final Test60.33
(28) The Test To End All Tests90.32
(112) Combined Numerical and Spatial sections of Test For Genius - Revision 201650.30
(3) Qoymans Multiple-Choice #590.27
(10) Genius Association Test50.27
(105) Space, Time, and Hyperspace - Revision 201660.19
(16) Lieshout International Mesospheric Intelligence Test130.10
(26) Verbal section of Test For Genius - Revision 200480.09
(27) Spatial section of Test For Genius - Revision 200480.05
(40) Reason Behind Multiple-Choice - Revision 200890.05
(66) Test For Genius - Revision 200440.04
(57) Space, Time, and Hyperspace4-0.11
(24) Reason - Revision 20089-0.12

Weighted average of correlations: 0.445

Conservatively estimated minimum g loading: 0.67

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 4 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Remark: The correlations with other tests, and therewith the g loading, are depressed by the fact that this test, because of its unique nature, effectively works as a single item. Single items have limited reliability (which is why tests normally have several dozens of items at least; the error of individual items is then averaged out and their true score components are piled up) and reliability determines the upper limit of a test's (significant) correlation with any other variable. Reliability and g loading of this test are lower than those of regular I.Q. tests.

As some have pointed out, the reliability and g loading of the test could be raised by letting candidates send in multiple solutions at once, and reporting on the highest scoring solution among those. However, that would give candidates feedback on the correctness or falseness of the various solutions, and thus endanger the security of the test. The current policy will remain effective therefore: only one solution is allowed, and the possible lower reliability that results from thus limiting candidates is to be considered a price paid to keep the test's solutions secret.

Correlation of Daedalus Test with tests by others

(Test index) Test name n r
(242) Unknown and miscellaneous tests9-0.19
(225) Logima Strictica 364-0.23
(234) Strict Logic Sequences Exam I4-0.38

Weighted average of correlations: -0.244

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 4 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Please be aware that correlations with these external tests are in most cases affected (depressed, typically) by one or more of the following: (1) Little overlap with the object test because of the much lower ceilings and inherent ceiling effects of the tests used in regular psychology; (2) Candidates reporting scores selectively, for instance only the higher ones while withholding lower ones; (3) Candidates reporting, or having been reported by psychometricians, incorrect scores.

Estimated loadings of Daedalus Test on particular item types

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.

Typeg loading of Daedalus Test on that type
Verbal0.57
Numerical0.68
Spatial0.37
Logical0.18
Heterogeneous0.73

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

Balanced g loading = 0.50

National means for Daedalus Test

Country n mean score
Sweden2111.00
Italy2110.00
Germany2104.00
Spain265.50
United_States455.25
China2-1.00

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

Correlation with national I.Q.'s of Daedalus Test

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

Correlation of Daedalus Test with personal details

Personalia n r
P.S.I.A. Neurotic30.98
P.S.I.A. Antisocial30.93
P.S.I.A. Cruel30.87
P.S.I.A. System factor30.79
Observed behaviour80.68
Educational level200.57
P.S.I.A. Cold30.55
P.S.I.A. Rare30.50
P.S.I.A. Just30.37
Candidate's self-estimated I.Q.50.22
Sex300.15
Observed associative horizon50.07
P.S.I.A. Ethics factor40.04
P.S.I.A. Introverted30.01
Mother's educational level20-0.03
P.S.I.A. True3-0.18
P.S.I.A. Deviance factor4-0.18
Year of birth27-0.27
Disorders (parents and siblings)19-0.34
P.S.I.A. Aspergoid3-0.35
P.S.I.A. Extreme3-0.43
Disorders (own)19-0.45
Father's educational level20-0.47
P.S.I.A. Orderly3-0.61
P.S.I.A. Rational3-0.85
Gifted Adult's Inventory of Aspergerisms3-0.87

Estimated g factor loadings upward and downward of particular scores

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 both values to be lower than the test's full-range g loading.

Raw scoreUpward g (n)Downward g (n)
-10.65 (330)NaN (0)
00.48 (208)0.69 (205)
104-0.36 (88)0.69 (205)
1350.74 (54)0.67 (229)
2080.79 (48)0.61 (251)
2150.53 (14)0.61 (253)
2200.53 (14)0.61 (253)
2210.53 (14)0.67 (321)
222NaN (0)0.65 (330)

This table illustrates that the test tends to work as a single item in that it separates the candidates largely into two groups; those who succeed and those who fail, with some discrimination within each group and some discrimination between the groups.

Reliability

Due to the fact that this test, effectively, consist of only one item, its reliability can not be computed from internal statistics as with multi-item tests. A single item will normally have much lower reliability than a multi-item test. Considering the apparent g loading of the test, the reliability should be at least about .7.

Scores by age

Age class n mean score
60 to 641220.00
50 to 541-1.00
45 to 49343.67
40 to 443137.33
35 to 392-0.50
30 to 342110.50
25 to 29588.40
22 to 24373.33
20 or 211-1.00
18 or 19368.67
172105.50
1610.00

Scores by year taken

Year taken n mean score
20015127.80
20025129.80
200430.00
200810.00
20092220.50
201110.00
20122176.50
20132-1.00
20141208.00
20152-0.50
20161-1.00
201710.00
2018450.25

ryear taken × median score = -0.48 (n = 30)

Robustness and overall test quality

Item analysis

Effectively, this test has only one item, so that item statistics in the usual sense can not be computed.