Statistics of The Sargasso Test

© September 2014 Paul Cooijmans

Norms

Scores on The Sargasso Test

Contents type: Verbal, numerical, spatial, logical.   Period: 2007-present

20 *
27 *
28 *
29 ****
30 ***
31 **
33 ***
34 **
35 *
35.5 **
36 *
37 **
38 *
39 *
41 *
42 ***
46 *

Correlation of The Sargasso Test with other tests by Paul Cooijmans

(Test index) Test name n r
(57) Space, Time, and Hyperspace50.86
(42) The Marathon Test50.84
(32) Spatial section of The Marathon Test50.81
(12) Cooijmans On-Line Test (Two-barrelled)50.78
(48) Narcissus' last stand50.77
(45) Numerical and spatial sections of The Marathon Test50.76
(30) Verbal section of The Marathon Test70.73
(7) The Final Test110.72
(40) Reason Behind Multiple-Choice - Revision 2008130.72
(0) Test of the Beheaded Man110.71
(35) Intelligence Quantifier by assessment100.71
(18) The Nemesis Test110.70
(3) Qoymans Multiple-Choice #5130.70
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude70.69
(26) Verbal section of Test For Genius - Revision 2004140.69
(31) Numerical section of The Marathon Test50.68
(87) Cooijmans Intelligence Test - Form 290.64
(28) The Test To End All Tests120.61
(24) Reason - Revision 2008130.61
(44) Associative LIMIT90.56
(1) Cartoons of Shock150.55
(10) Genius Association Test120.54
(36) Reflections In Peroxide50.54
(2) Cooijmans Intelligence Test - Form 3120.51
(106) Cooijmans Intelligence Test - Form 460.48
(66) Test For Genius - Revision 2004100.39
(80) Qoymans Multiple-Choice #4110.33
(103) Problems In Gentle Slopes of the second degree50.30
(11) Isis Test110.28
(82) Reason70.19
(27) Spatial section of Test For Genius - Revision 2004130.18
(68) Numbers90.15
(16) Lieshout International Mesospheric Intelligence Test120.09
(62) Reason Behind Multiple-Choice60.07
(5) Daedalus Test50.05

Weighted average of correlations: 0.533

Conservatively estimated minimum g loading: 0.73

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Correlation of The Sargasso Test with tests by others

(Test index) Test name n r
(225) Logima Strictica 366-0.10

Weighted average of correlations: -0.098

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 5 score pairs. All known pairs are used to obtain the true, honest statistics; correlations have not been artificially inflated by leaving out ceiling scores, outliers or other anomalies.

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 The Sargasso 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 The Sargasso Test on that type
Verbal0.78
Numerical0.58
Spatial0.58
Logical0.61
Heterogeneous0.75

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

Balanced g loading = 0.66

National medians for The Sargasso Test

Country n median score
Netherlands237.5
Sweden436.0
Canada235.5
France235.5
Germany232.3
United_States632.0
Finland330.0
Greece223.5

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 The Sargasso Test with personal details

Personalia n r
Cooijmans Inventory of Neo-Marxist Attitudes30.96
Observed associative horizon50.60
P.S.I.A. Neurotic100.52
Gifted Adult's Inventory of Aspergerisms40.49
P.S.I.A. Rare100.47
P.S.I.A. Rational100.42
P.S.I.A. Aspergoid100.38
P.S.I.A. Antisocial100.36
P.S.I.A. Deviance factor120.32
P.S.I.A. Cold100.32
P.S.I.A. Introverted100.22
Educational level280.19
Sex300.16
Year of birth300.03
P.S.I.A. Cruel100.02
Disorders (parents and siblings)28-0.07
Father's educational level26-0.15
Mother's educational level27-0.16
P.S.I.A. Orderly10-0.17
Disorders (own)28-0.18
P.S.I.A. True10-0.19
P.S.I.A. Ethics factor12-0.21
P.S.I.A. Extreme10-0.28
Observed behaviour7-0.30
P.S.I.A. System factor6-0.52
Candidate's self-estimated I.Q.4-0.58
P.S.I.A. Just10-0.81

Correlation with national I.Q.'s of The Sargasso Test

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

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)
00.73 (314)NaN (0)
300.71 (211)-0.06 (38)
33.50.75 (79)0.48 (119)
37NaN (0)0.61 (226)
65NaN (0)0.73 (314)

Reliability

Remark: These reliability coefficients are low for a stand-alone I.Q. test (.9 or higher is normal), but logical if one considers that the test consists exclusively of "bad" items that were previously removed from other tests.

Error

Scores by age

Age class n median score
50 to 54333.0
45 to 49633.5
40 to 44120.0
35 to 39535.5
30 to 34231.5
25 to 29633.5
22 to 24636.0
18 or 19129.0

Scores by year taken

Year taken n median score
2007733.0
2008837.0
2009130.0
2010429.0
2011139.0
2012435.5
2013129.0
2014435.0

ryear taken × median score = 0.00 (n = 30)

Robustness and overall test quality

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from candidates are studied, as well as, for each problem, the correlation with total score and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are normally removed or revised, resulting in a revised version of the test; however, in the present test, bad items are left in as the test was purposely constructed out of bad items previously removed from other tests.

Nevertheless, about 50 of the 65 items display normal statistical behaviour in this test environment.