Statistics of Educational level

© March 2014 Paul Cooijmans

Legenda

The educational levels reported by test candidates are encoded as follows:

Scores on Educational level

Contents type: Personal information.   

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Scores by males

n = 595

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Scores by females

n = 108

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Correlation of Educational level with other tests by Paul Cooijmans

(Test index) Test name n r
(104) The Final Test - Revision 201350.85
(5) Daedalus Test110.67
(54) Test of Shock and Awe180.66
(76) Analogies subtest of Long Test For Genius (Netherlandic)70.62
(8) Female Intelligence Test50.60
(65) Long Test For Genius (Netherlandic)60.52
(0) Test of the Beheaded Man210.45
(35) Intelligence Quantifier by assessment670.43
(1) Cartoons of Shock290.42
(18) The Nemesis Test250.39
(59) Association and Analogies (German)50.39
(51) Qoymans Multiple-Choice #1150.36
(106) Cooijmans Intelligence Test - Form 470.33
(63) Long Test For Genius350.33
(23) Gliaweb Riddled Intelligence Test - Revision 2011250.32
(75) Analogies of Long Test For Genius410.31
(48) Narcissus' last stand80.31
(14) Low Countries Aptitude Test70.31
(43) Test For Genius - Revision 2010130.30
(30) Verbal section of The Marathon Test200.29
(21) Psychometric Qrosswords120.28
(31) Numerical section of The Marathon Test200.28
(56) Short Test For Genius120.28
(42) The Marathon Test180.27
(57) Space, Time, and Hyperspace660.27
(15) Letters160.26
(79) Association subtest of Long Test For Genius460.25
(47) Psychometrically Activated Grids Acerbate Neuroticism50.23
(77) Analogies #170.23
(25) The Sargasso Test260.23
(66) Test For Genius - Revision 2004750.23
(53) Qoymans Multiple-Choice #3850.21
(52) Qoymans Multiple-Choice #2150.21
(80) Qoymans Multiple-Choice #41470.20
(45) Numerical and spatial sections of The Marathon Test200.17
(26) Verbal section of Test For Genius - Revision 2004880.17
(28) The Test To End All Tests380.16
(27) Spatial section of Test For Genius - Revision 2004940.16
(4) A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude120.15
(29) Words170.15
(81) Association subtest of Long Test For Genius (Netherlandic)70.13
(55) Spatial Insight Test250.13
(3) Qoymans Multiple-Choice #5420.12
(12) Cooijmans On-Line Test (Two-barrelled)120.11
(71) Numerical Insight Test130.11
(19) Numerical section of Test For Genius - Revision 2010200.08
(40) Reason Behind Multiple-Choice - Revision 2008420.08
(41) The LAW - Letters And Words140.07
(39) Combined Numerical and Spatial sections of Test For Genius - Revision 2010170.06
(32) Spatial section of The Marathon Test200.06
(87) Cooijmans Intelligence Test - Form 2620.05
(7) The Final Test640.04
(83) KIT Intelligence Test - first attempts140.04
(36) Reflections In Peroxide80.04
(24) Reason - Revision 2008440.03
(68) Numbers550.01
(2) Cooijmans Intelligence Test - Form 3590.01
(86) Evens90.00
(10) Genius Association Test77-0.01
(50) Qoymans Automatic Test #212-0.02
(74) Cooijmans On-Line Test16-0.03
(85) Cooijmans Intelligence Test - Form 118-0.04
(84) Bonsai Test17-0.08
(11) Isis Test39-0.11
(69) Odds21-0.13
(33) Problems In Gentle Slopes of the first degree11-0.13
(16) Lieshout International Mesospheric Intelligence Test59-0.25
(82) Reason38-0.30
(44) Associative LIMIT36-0.35
(62) Reason Behind Multiple-Choice31-0.38
(72) Qoymans Automatic Test #112-0.45
(73) Qoymans Automatic Test #310-0.48

Weighted average of correlations: 0.131

Conservatively estimated minimum g loading: 0.36

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 Educational level with tests by others

(Test index) Test name n r
(221) National I.Q. Tests50.61
(214) Epiq Tests140.54
(202) Cattell Verbal90.49
(244) Scholastic Aptitude Test (new)60.45
(242) Unknown tests600.44
(205) Cito-toets130.40
(227) Concep-T70.38
(209) Drenth number series50.28
(206) W-8790.28
(237) Sigma Test230.25
(228) Miller Analogies Test (raw; old version)70.24
(246) Sequentia Numerica Form I110.23
(235) Nonverbal Cognitive Performance Examination390.22
(201) Wechsler Adult Intelligence Scales310.20
(236) International High IQ Society Miscellaneous tests310.20
(212) Raven's Advanced Progressive Matrices (raw)200.13
(243) Scholastic Aptitude Test (old)170.11
(241) Ultra Test100.05
(239) Titan Test190.02
(203) Wechsler Adult Intelligence Scales for Children50.01
(219) Graduate Record Examination100.01
(234) Strict Logic Sequences Exam I60-0.01
(223) Strict Logic Sequences Exam II14-0.03
(204) Chimera High Ability Riddle Test5-0.03
(224) T.R.I.12-0.03
(200) American College Testing program17-0.04
(231) Mysterium Entrance Exam31-0.04
(238) 916 Test19-0.06
(211) Culture Fair Numerical Spatial Examination - Final version52-0.09
(229) Mega Test11-0.11
(218) Raven's Advanced Progressive Matrices (I.Q.)26-0.17
(225) Logima Strictica 3646-0.18
(233) Hoeflin Power Test6-0.33
(240) Strict Logic Spatial Exam 4824-0.35
(226) Logima Strictica 609-0.41
(220) Cattell Culture Fair30-0.46
(217) G-test8-0.51
(230) Omega Contemplative Items Pool7-0.66
(208) California Test of Mental Maturity5-0.98

Weighted average of correlations: 0.037

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.

Correlation of Educational level with other tests by Paul Cooijmans - for females

(Test index) Test name n r
(0) Test of the Beheaded Man21.00
(1) Cartoons of Shock21.00
(27) Spatial section of Test For Genius - Revision 200421.00
(28) The Test To End All Tests21.00
(51) Qoymans Multiple-Choice #121.00
(54) Test of Shock and Awe21.00
(76) Analogies subtest of Long Test For Genius (Netherlandic)21.00
(81) Association subtest of Long Test For Genius (Netherlandic)21.00
(24) Reason - Revision 200831.00
(40) Reason Behind Multiple-Choice - Revision 200831.00
(3) Qoymans Multiple-Choice #530.99
(26) Verbal section of Test For Genius - Revision 200430.87
(7) The Final Test50.69
(10) Genius Association Test50.63
(87) Cooijmans Intelligence Test - Form 240.61
(2) Cooijmans Intelligence Test - Form 370.47
(53) Qoymans Multiple-Choice #390.43
(68) Numbers30.33
(35) Intelligence Quantifier by assessment90.30
(80) Qoymans Multiple-Choice #4150.18
(57) Space, Time, and Hyperspace4-0.37
(44) Associative LIMIT2-1.00
(55) Spatial Insight Test2-1.00
(63) Long Test For Genius2-1.00
(75) Analogies of Long Test For Genius2-1.00

Weighted average of correlations: 0.419

Conservatively estimated minimum g loading among females: 0.65

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 2 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.

Remark: Within females, the correlation of educational level with I.Q. test scores is clearly higher than within males (and females combined). Because of the lower number of test scores by females, this may not yet be significant.

Estimated loadings of Educational level 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 Educational level on that type
Verbal0.41
Numerical0.22
Spatial0.29
Logical-0.17
Heterogeneous0.37

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

Balanced g loading = 0.22

Note: Although positive, the correlation of educational level with high-range I.Q. test scores is much too low to allow for a meaningful "norming" of educational levels to I.Q.'s

National means for Educational level

Country n mean score
Hong_Kong46.50
Russia26.50
Bosnia_and_Herzegovina36.00
Turkey76.00
South_Africa65.83
Portugal45.50
Germany395.33
Romania35.33
Austria75.29
Mexico55.20
France115.18
Italy105.10
Greece185.06
Belgium205.00
Chile25.00
Czech_Republic25.00
India205.00
Iran35.00
Japan25.00
Malaysia25.00
Poland115.00
Serbia25.00
Singapore25.00
Finland224.95
United_Kingdom364.86
Bulgaria64.83
Spain184.83
Sweden344.76
Switzerland44.75
Australia144.71
Philippines34.67
Netherlands844.65
Norway114.64
United_States1924.63
Yugoslavia54.60
Canada214.52
China44.50
Korea_South44.50
New_Zealand34.33
Denmark104.30
Brazil114.18
Argentina44.00
Israel54.00

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 of Educational level with personal details

Personalia n r
Observed behaviour740.28
P.S.I.A. Orderly3320.27
Cooijmans Inventory of Neo-Marxist Attitudes270.19
P.S.I.A. Ethics factor4390.17
Candidate's self-estimated I.Q.370.15
P.S.I.A. Rational3320.07
Sex7030.07
P.S.I.A. True3320.02
Father's educational level6470.02
P.S.I.A. System factor1950.01
P.S.I.A. Extreme3320.00
Observed associative horizon37-0.04
Mother's educational level655-0.05
P.S.I.A. Cold332-0.08
P.S.I.A. Just332-0.10
Disorders (parents and siblings)688-0.10
Disorders (own)691-0.14
P.S.I.A. Neurotic332-0.16
P.S.I.A. Rare332-0.17
P.S.I.A. Antisocial332-0.17
P.S.I.A. Introverted332-0.18
P.S.I.A. Cruel332-0.20
P.S.I.A. Deviance factor439-0.20
P.S.I.A. Aspergoid332-0.25
Gifted Adult's Inventory of Aspergerisms75-0.29
Year of birth701-0.50

Correlation with personal details of Educational level - within females

Personalia n r
Candidate's self-estimated I.Q.30.50
Father's educational level950.26
P.S.I.A. Orderly600.20
Mother's educational level940.18
P.S.I.A. Rational600.18
P.S.I.A. Neurotic600.10
P.S.I.A. Rare600.08
P.S.I.A. Ethics factor810.01
P.S.I.A. Cold60-0.00
P.S.I.A. Cruel60-0.01
P.S.I.A. Aspergoid60-0.03
P.S.I.A. System factor36-0.04
P.S.I.A. Deviance factor81-0.06
Disorders (parents and siblings)104-0.06
Disorders (own)105-0.06
P.S.I.A. Extreme60-0.06
P.S.I.A. Antisocial60-0.10
P.S.I.A. True60-0.14
P.S.I.A. Just60-0.14
P.S.I.A. Introverted60-0.18
Observed associative horizon6-0.25
Year of birth108-0.37
Gifted Adult's Inventory of Aspergerisms7-0.48
Observed behaviour10-0.62

Remarkable is that "Observed behaviour" is the lowest correlate of educational level in females, but the highest in males. GAIA (Gifted Adult's Inventory of Aspergerisms) is among the lowest for both sexes.

Correlation with personal details of Educational level - within males

Personalia n r
Observed behaviour640.31
P.S.I.A. Orderly2720.28
P.S.I.A. Ethics factor3580.21
Candidate's self-estimated I.Q.340.20
P.S.I.A. True2720.06
Cooijmans Inventory of Neo-Marxist Attitudes250.05
P.S.I.A. Rational2720.03
P.S.I.A. Extreme2720.02
P.S.I.A. System factor1590.01
Observed associative horizon310.01
Father's educational level552-0.03
Mother's educational level561-0.09
P.S.I.A. Just272-0.11
Disorders (parents and siblings)584-0.11
P.S.I.A. Cold272-0.12
Disorders (own)586-0.15
P.S.I.A. Introverted272-0.19
P.S.I.A. Antisocial272-0.20
P.S.I.A. Neurotic272-0.21
P.S.I.A. Deviance factor358-0.25
P.S.I.A. Rare272-0.25
P.S.I.A. Cruel272-0.25
Gifted Adult's Inventory of Aspergerisms68-0.29
P.S.I.A. Aspergoid272-0.32
Year of birth593-0.53

Correlation with national I.Q.'s of Educational level

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

Estimated g factor loadings upward and downward of particular eduational levels

In parentheses the number of score pairs on which that estimated g factor loading is based.

Educational levelUpward g (n)Downward g (n)
00.36 (2140)NaN (0)
10.36 (2140)NaN (0)
20.34 (2134)1.00 (8)
30.33 (2120)0.70 (42)
40.31 (2013)0.42 (600)
50.40 (1385)0.17 (1354)
60.37 (724)0.29 (1961)
7NaN (0)0.36 (2140)

Remark: Only downward of level 3 (a few years secondary school) there is a sizeable g factor loading in reported educational level. Upward of level 3, further education seems to require only marginally more g. This finding is not entirely inconsistent with what one may informally observe when communicating with persons who use academic titles.

Given the size of the g loading downward of 3, it may be informative to provide the protonorm and I.Q. equivalents of the educational levels 0 through 3, when the levels are rank-equated to I.Q. test scores in the usual manner:

Ed. levelProt.I.Q.
05287
1177105
2202109
3267117

Conclusions

  1. There is on the whole an extremely small positive correlation of educational level with high-range I.Q. test scores (it is in fact .04 to .13);
  2. Within females however, there is a low positive correlation of about .4;
  3. Only downward of educational level 3 (a few years secondary school) there is a moderate to high correlation with I.Q.;
  4. Scores on the Gifted Adult's Inventory of Aspergerisms correlate negatively with educational level.