Qoymans Multiple-Choice #3 Statistics

Norms

Used for norming are all of the known scores from tests correlating .63 or higher with the Qoymans Multiple-Choice #3. The used scores are if needed converted to protonorms using the relevant conversion formula or table. The raw scores on the Qoymans Multiple-Choice #3 that form pairs with the used scores are rank-equated to the used scores, and where needed there is interpolation or extrapolation.

Correlation with other tests

Weighted average of correlations: 0.364

Conservatively estimated minimum g loading: 0.6

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 are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

Additional statistics March 2007

Scores

• # candidates: 280
• Median score: 38.0
• Maximum possible score: 100
• Mean: 39.3
• SD: 20.85
• Male mean: 42.0
• Female mean: 29.2 (58 persons)
• Hardness: 0.30

Scores by males

n = 222

-100*
-12*
-10*
-1**
3*
4**
6*
8*
10**
12*
14**
15**
16*
18***
19*
20****
21****
22******
23***
24**
25***
26****
27***
28***
29****
29.5*
30***
31**
32*****
33***
34*
34.5*
35***
36*******
37**
38*******
39****
40****
41***
42********
43*******
44******
45******
46****
47****
48**
49**
49.5**
51*
52**
53*********
54*
55*
56****
57*******
58***
60**
61****
62********
63**
64*
65****
66****
67****
68**
70*
71***
72**
73**
75**
76*
77*
78**
79**
80*
100*

Scores by females

n = 58

-27*
0*
11*
12*
18*
19**
20*
21****
22*
23***
24****
25****
26****
27**
28**
29**
30***
31**
32****
34*
35*
36*
37***
39.5*
41*
44*
44.5*
45*
50*
70*
71*
75*

Correlation with other tests

Weighted average of correlations: 0.354

Conservatively estimated minimum g loading: 0.59

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 to obtain the true, honest statistics; correlations are not artificially inflated by leaving out ceiling scores, outliers or other anomalies.

National averages

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

Correlation with personal details

Correlation with personal details - within females

Here again some support for the observation that the negative correlation between IQ and deviance (and psychiatric disorders and disposition therefore) is entirely caused by males, and is not present or even reversed in females.

Correlation with national IQs

Correlation of this test with national average IQs published by Lynn and Vanhanen:

• r = 0.07
• n = 102

Scores by age - early period

In the early period the test was free and no registration was required.

Scores by age - later period

In the later period registration was required before being able to take the test, and eventually there was a fee. These measures have improved the functioning of the test; for instance, people do their best more, retests under false names become much rarer, the average IQ of the candidates is much higher, and so on.

Scores by age within females - later period

Scores by year taken - early period

Correlation year taken vs average score = -1
n = 143

Scores by year taken - later period

Correlation year taken vs average score = -1
n = 139

Reliability and standard error - early period

Using the "split-half" method:

• Rel = 0.88
• SE = 5.7 raw score points

Reliability and standard error - later period

Using the "split-half" method:

• Rel = 0.95
• SE = 5 raw score points

Robustness - early period

• Rob = 0.91

Robustness and overall test quality - later period

• Rob = 1.01
• Quality = .87

Item analysis

Item statistics are not published as that would help future candidates. To detect bad items, answers and comments from testees are studied, as well as, for each problem, the correlation with total score (validity of the item in this test) and the proportion of candidates getting it wrong (hardness of the item). Possible bad items are removed or revised, resulting in a revised version of the test.