Gifted Adult's Inventory of Aspergerisms (GAIA) - Statistical Report

September 2009 Paul Cooijmans

This is the statistical report of a personality inventory relating to Aspergoid features in intelligent adults.

Norms

Note: The t-scores, with mean of 50 and standard deviation of 10, are based on a recent sample (2008), and anchored to the P.S.I.A. Aspergoid scale. Therefore these t-scores reflect where one stands among intelligent adults in general, and not just among a group pre-selected for interest in Asperger Syndrome (which - the latter group - have considerably higher scores on average).

GAIA t-score
0 37
1 38
2 39
3 40
4 41
542
643
7 44
8 45
9 46
1047
11 48
12 49
13 50
14 51
15 52
16 53
17 54
18 55
19 56
20 57
21 58
22 59
23 60
24 61
25 62
26 63
27 64
28 65
29 66
30 67
31 68
32 69
33 70
3471
3572
36 73
37 74
38 75
39 76
40 77
41 78
42 79
43 80
44 81
45 82
46 83
47 84
48 85
49 86
50 87
51 88
52 89
53 90
54 91

Scores

Note: These scores are from candidates who chose to take this test, probably from an interest in Asperger Syndrome, and their scores are higher on average than those of a more general group of intelligent adults would be - see above t-scores.

2 *
3 **
4 ****
5 *
6 ****
7 ****
8 **
9 ***
10 *****
11 **
13 ***
15 ***
16 **
18 **
19 *
20 *
21 *******
22 ******
23 ****
24 ******
25 *
26 **
27 ***
28 ***
29 *******
30 *****
31 ****
32 ****
33 *
34 **
35 *
36 **
37 *
38 **
41 **
42 *
45 *
46 *

Scores by males

n = 81

2 *
3 **
4 ****
5 *
6 ****
7 ****
8 **
9 **
10 ****
11 **
13 **
15 ***
16 *
18 *
20 *
21 *****
22 *****
23 ***
24 *****
25 *
26 **
27 **
28 **
29 ***
30 ***
31 *
32 ***
33 *
34 *
35 *
36 *
37 *
38 **
41 **
42 *
45 *
46 *

Scores by females

n = 25

9 *
10 *
13 *
16 *
18 *
19 *
21 **
22 *
23 *
24 *
27 *
28 *
29 ****
30 **
31 ***
32 *
34 *
36 *

Correlation with other tests

Test#cor
Reason Behind Multiple-Choice50.72
The Test To End All Tests90.55
Cartoons of Shock50.53
Lieshout International Mesospheric Intelligence Test70.39
Cooijmans Intelligence Test - Form 2110.29
Qoymans Automatic Test #150.21
Numbers100.20
Qoymans Automatic Test #260.20
The Final Test150.18
Logima Strictica 3690.04
Verbal section of Test For Genius - Revision 200410-0.01
Mysterium Entrance Exam6-0.10
Qoymans Multiple-Choice #416-0.12
Analogies #15-0.12
Spatial Insight Test5-0.13
Mega Test5-0.15
Test of Shock and Awe6-0.17
Isis Test6-0.24
International High IQ Society Miscellaneous tests5-0.28
Space, Time and Hyperspace23-0.33
Strict Logic Sequences Exam I7-0.37
Titan Test5-0.40
Test For Genius - Revision 200410-0.41
Analogies of Long Test For Genius14-0.50
Genius Association Test8-0.52
Unknown tests10-0.52
Association subtest of Long Test For Genius14-0.55
Spatial section of Test For Genius - Revision 200410-0.56
Nonverbal Cognitive Performance Examination9-0.56
Sigma Test7-0.57
Long Test For Genius12-0.58
Reason6-0.63
Qoymans Multiple-Choice #17-0.68
Qoymans Multiple-Choice #313-0.81

Weighted average of correlations: -0.216

Conservatively estimated minimum g loading: -0.47

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.

National medians

Country# scoresMedian score
Netherlands826.5
Canada424.0
United_States2222.0
Australia321.0
Israel221.0
Sweden414.0
Belgium29.5
Finland34.0
United_Kingdom34.0

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 with personal details

Personalia#cor
P.S.I.A. Aspergoid210.74
Observed associative horizon is wide70.69
P.S.I.A. Deviance factor300.69
Disorders (own)380.63
Cattell Culture Fair80.61
P.S.I.A. Rare210.59
P.S.I.A. System factor (phased out)130.56
P.S.I.A. Neurotic210.50
P.S.I.A. Introverted210.50
P.S.I.A. Cold210.38
P.S.I.A. Extreme210.32
P.S.I.A. Cruel210.27
Disorders (parents and siblings)330.25
P.S.I.A. Antisocial210.22
P.S.I.A. Just210.18
Year of birth990.16
P.S.I.A. Orderly210.09
P.S.I.A. True210.06
P.S.I.A. Ethics factor300.04
Is resident of the European Union140.03
Observed behaviour is good16-0.10
Number of characters in candidate's name as registered106-0.10
Father's educational level31-0.16
Is male106-0.17
Educational level34-0.22
P.S.I.A. Rational21-0.23
Mother's educational level32-0.27
Wechsler Adult Intelligence Scales7-0.36
Raven's Advanced Progressive Matrices (I.Q.)5-0.67
W-873-0.79

The high positive correlations with Disorders and P.S.I.A. Deviance reflect the validity of the GAIA as a measure of disposition for psychiatric disorders. The negative correlations with the three measures of Educational level are related to the negative correlation between GAIA and I.Q. (Educational level correlates positively with I.Q.).

Correlation with personal details - within females

Personalia#cor
Disorders (own)30.99
P.S.I.A. Just40.95
P.S.I.A. Introverted40.94
P.S.I.A. Deviance factor40.88
P.S.I.A. Aspergoid40.86
P.S.I.A. Neurotic40.85
P.S.I.A. Ethics factor40.77
P.S.I.A. True40.71
P.S.I.A. Extreme40.64
P.S.I.A. Cruel40.58
P.S.I.A. Orderly40.54
P.S.I.A. Rare40.41
Year of birth190.33
P.S.I.A. Cold40.32
P.S.I.A. Antisocial4-0.04
Number of characters in candidate's name as registered25-0.18
P.S.I.A. Rational4-0.53
Educational level3-0.97

Correlation with national I.Q.s

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

Estimated g factor loadings Upward and Downward of specific scores

In parentheses the number of score pairs on which that estimated g factor loading is based. The Upward and Downward values are calculated including the pertinent score itself. It is normal that g factor loadings go down when the range is restricted like this, but careful study of the Upward and Downward columns may reveal possible scores below or above which the test loses validity altogether.

ScoreUpward (n)Downward (n)
0-.42 (367)NaN (0)
5-.62 (269)-.50 (34)
10-.66 (166).51 (143)
15-.67 (124).52 (190)
20-.63 (96).50 (195)
25-.45 (41).41 (273)
30-.66 (15).11 (307)
35-.77 (13)-.04 (316)
38-.97 (3).16 (336)
40NaN (0).16 (336)
46NaN (0)-.42 (367)

Note: It can be deduced from this table that the g-loading of GAIA scores is lowly negative on the whole, but rises to highly negative as the scores go up. Also, that the g-loading is moderately positive between scores of 5-10 to 15-20; in other words, in the range where most people are not disordered and not deviant.

Reliability

Note: This reliability is high for a non-intelligence personality test, and reflects the fact that the individual items almost all have clear positive correlations with total score. The combination of high reliability and negative g-loading is remarkable, and reveals the reality of the negative impact that deviance and disorders have on intelligence. This is important in understanding the rareness of genius, as discussed in Rareness and discontinuity of genius.

Error

Scores by age

Age group# scoresMedian score
70 to 74120.0
65 to 6917.0
60 to 64121.0
55 to 59425.0
50 to 54815.0
45 to 491022.0
40 to 44431.0
35 to 39627.0
30 to 341129.0
25 to 29726.0
22 to 24424.0
20 or 21133.0

Scores by age - within females

Age group# scoresMedian score
55 to 59122.0
45 to 49422.0
40 to 44231.0
35 to 39130.0
30 to 34329.0
25 to 29228.5
22 to 24225.0

Robustness and overall test quality

Item analysis

ItemHardnessCor
10.480.27
20.470.22
30.470.53
40.550.36
50.520.45
60.570.41
70.480.45
80.180.40
90.350.53
100.370.35
110.580.32
120.700.32
130.220.63
140.380.27
150.70-0.03
160.820.36
170.900.19
180.770.34
190.550.28
200.550.57
210.430.29
220.470.47
230.320.58
240.550.24
250.370.43
260.630.30
270.380.12
280.800.18
290.320.64
300.570.39
310.970.26
320.820.21
330.720.38
340.200.28
350.830.35
360.650.32
370.280.57
380.550.45
390.720.27
400.830.22
410.780.23
420.670.49
430.680.44
440.250.48
450.630.50
460.930.25
470.320.49
480.470.48
490.880.19
500.930.21
510.920.23
520.430.51
530.450.22
540.370.31