Mega Test statistics

© 2019 Paul Cooijmans

Reported scores on Mega Test

The Mega Test is an intelligence test designed by Ronald K. Hoeflin.

8 *
11 *
14 **
16 *
17 *
18 *
19 ****
20 **
21 **
22 **
23 ***
24 **
25 ****
26 ***
27 ***
28 *****
29 **
31 **
32 *****
33 **
34 *
35 *
36 ***
37 ****
38 *
39 *
40 *
41 *
44 *
46 *
47 *

The person with 47 has told me that the test designer enclosed a note with his score report informing him this was the highest score ever on a first attempt and a world record. This person is from the Netherlands and not publicly known with his score.

Correlation of Mega Test with other tests by Paul Cooijmans

(Test index) Test name n r
(87) Cooijmans Intelligence Test - Form 240.99
(80) Qoymans Multiple-Choice #430.99
(69) Odds40.98
(79) Association subtest of Long Test For Genius160.77
(28) The Test To End All Tests90.71
(35) Intelligence Quantifier by assessment110.67
(7) The Final Test230.64
(77) Analogies #170.62
(68) Numbers250.60
(56) Short Test For Genius150.57
(65) Long Test For Genius (Netherlandic)30.56
(16) Lieshout International Mesospheric Intelligence Test30.53
(75) Analogies of Long Test For Genius130.46
(84) Bonsai Test40.42
(1) Cartoons of Shock40.41
(76) Analogies subtest of Long Test For Genius (Netherlandic)30.40
(85) Cooijmans Intelligence Test - Form 1130.37
(81) Association subtest of Long Test For Genius (Netherlandic)30.34
(63) Long Test For Genius120.33
(57) Space, Time, and Hyperspace180.22
(54) Test of Shock and Awe50.22
(51) Qoymans Multiple-Choice #150.09
(10) Genius Association Test7-0.16
(53) Qoymans Multiple-Choice #35-0.22
(18) The Nemesis Test3-0.88

Weighted average of correlations: 0.476

Conservatively estimated minimum g loading: 0.69

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.

Correlation of Mega Test with tests by others

(Test index) Test name n r
(239) Titan Test200.87
(212) Raven's Advanced Progressive Matrices (raw)50.83
(241) Ultra Test100.80
(228) Miller Analogies Test (raw; old version)40.69
(225) Logima Strictica 3660.67
(207) Chimera Test40.66
(219) Graduate Record Examination50.65
(237) Sigma Test40.58
(242) Unknown and miscellaneous tests230.58
(243) Scholastic Aptitude Test (old)60.51
(204) Chimera High Ability Riddle Test80.47
(206) W-87140.45
(233) Hoeflin Power Test80.42
(231) Mysterium Entrance Exam30.02
(218) Raven's Advanced Progressive Matrices (I.Q.)7-0.06
(235) Nonverbal Cognitive Performance Examination4-0.31
(220) Cattell Culture Fair7-0.57
(213) Encephalist - R3-0.65
(201) Wechsler Adult Intelligence Scales3-0.79

Weighted average of correlations: 0.447

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.

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 Mega 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 Mega Test on that type
Verbal0.71
Numerical0.81
Spatial0.52
Heterogeneous0.63

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

Balanced g loading = 0.67

National medians for Mega Test

Country n median score
United_Kingdom236.0
Netherlands434.0
Belgium433.5
Germany233.5
Finland329.0
Sweden226.5
Denmark226.0
United_States2824.5
Canada224.0

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

Correlation of Mega Test with personal details

Personalia n r
P.S.I.A. Cruel50.81
P.S.I.A. Antisocial50.80
Disorders (own)130.54
Observed associative horizon100.53
P.S.I.A. Neurotic50.52
P.S.I.A. Rare50.48
P.S.I.A. Rational50.45
Year of birth550.30
Sex640.25
Observed behaviour140.19
P.S.I.A. Aspergoid50.12
P.S.I.A. Deviance factor70.08
P.S.I.A. Introverted50.07
P.S.I.A. Just50.04
Mother's educational level90.02
Father's educational level90.02
Educational level120.00
Disorders (parents and siblings)11-0.05
P.S.I.A. Cold5-0.06
Gifted Adult's Inventory of Aspergerisms7-0.08
P.S.I.A. Orderly5-0.20
P.S.I.A. Ethics factor7-0.21
P.S.I.A. System factor4-0.32
P.S.I.A. True5-0.36
P.S.I.A. Extreme5-0.39

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)
00.69 (218)NaN (0)
21.50.64 (149)0.73 (44)
27.50.32 (99)0.53 (96)
33.50.76 (30)0.69 (159)
48NaN (0)0.69 (218)

Conclusion

The high mean of these reported scores, equal to about IQ 152 with SD=15, probably signifies the dishonesty of candidates in reporting scores; their inclination to withhold lower scores and only report the higher ones. Also, it may be that answers have leaked out and some are taking advantage of that. Otherwise this appears to be a good high-range test.