Adjustment of the protonorms to norms conversion

The procedure

A sample of tests is selected by these criteria:

• Heterogeneous contents (at least two different item types out of verbal, numerical, spatial, logical); homogeneous tests are excluded because they do not provide a good enough indication of I.Q. in their own right;
• Score distribution not distorted by strong floor or ceiling effects (Isis Test and Evens are left out therefore);
• Not suffering from a more or less recent increase of scores due to likely fraud, answer leakage and so on (Gliaweb Riddled Intelligence Test is left out therefore). Such tests may be included again later on when fraudulent scores have been identified and removed, or possibly after discarding all scores after a certain date.

The combined score distribution thus obtained is meant to be representative for candidates on serious high-range intelligence tests that, each on their own, provide a fair indication of one's I.Q. A score distribution is derived, using all of the scores on the selected tests. "Proportions outscored" are computed for each protonorm, within-sex, to the number of decimals needed to retain the information of the distribution. Sex-combined proportions outscored are computed by taking for each protonorm the weighted mean of the female and male proportions outscored, weighted by the numbers of female and male candidates on this sample of tests. The male/female ratio here is 20, while on high-range tests in general it is closer to 11; this is because females avoid heterogeneous tests more than do males.

The Protonorms table shows the resulting norms. Below are the distributions.

Test-combined protonorm frequency table with proportions outscored for females

In parenthesis the proportion outscored value for scores above the present score but lower than the next-higher score in the table.

n = 119

Test-combined protonorm frequency table with proportions outscored for males

In parenthesis the proportion outscored value for scores above the present score but lower than the next-higher score in the table.

n = 2412

Tests used

1. Test of the Beheaded Man
2. Cooijmans Intelligence Test - Form 3
3. A Paranoiac's Torture: Intelligence Test Utilizing Diabolic Exactitude
4. Cooijmans On-Line Test - Two-barrelled version
5. Laaglandse Aanlegtest - Herziening 2016
6. The Nemesis Test
7. De Golfstroomtest - Herziening 2019
8. The Sargasso Test
9. Only idiots
10. Reflections In Peroxide
11. Problems In Gentle Slopes of the third degree
12. Random Feickery (Brandon Feick)
13. Combined Numerical and Spatial sections of Test For Genius - Revision 2010
14. Reason Behind Multiple-Choice - Revision 2008
15. The Marathon Test
16. Test For Genius - Revision 2010
17. Associative LIMIT
18. Numerical and spatial sections of The Marathon Test
19. Labyrinthine LIMIT
20. Psychometrically Activated Grids Acerbate Neuroticism
21. Narcissus' last stand
22. The Gate
23. Problems In Gentle Slopes of the second degree
24. Cooijmans Intelligence Test - Form 4
25. The Alchemist Test (Anas El Husseini)
26. The Bonsai Test - Revision 2016
27. Cooijmans Intelligence Test 5
28. Test For Genius - Revision 2016
29. Combined Numerical and Spatial sections of Test For Genius - Revision 2016
30. The Piper's Test
31. Dicing with death
32. De Laatste Test - Herziening 2019
33. Divine Psychometry (Matthew Scillitani)
34. A Relaxing Test (David Miller)
35. Cartoons of Shock
36. Female Intelligence Test
37. Low Countries Aptitude Test
38. Problems In Gentle Slopes of the first degree
39. The Hammer Of Test-Hungry
40. Test of Shock and Awe
41. Short Test For Genius
42. Reason Behind Multiple-Choice
43. Long Test For Genius
44. Long Test For Genius (French)
45. Long Test For Genius (Netherlandic)
46. Test For Genius - Revision 2004
47. Cooijmans On-Line Test
48. Bonsai Test
49. Cooijmans Intelligence Test - Form 1
50. Cooijmans Intelligence Test - Form 2
51. Giga Test
52. Grail Test
53. The Hammer Of Test-Hungry - Revision 2013
54. The Smell Test
55. Gliaweb Recycled Intelligence Test
56. The Marathon Test - Revision 2024

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