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

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 (year 2021) and anchored to the P.S.I.A. Aspergoid scale (original version). Therefore, these t-scores reflect where one stands among intelligent adults in general, and not just among those taking this test, who (the latter) form a group pre-selected for interest in Asperger syndrome and have considerably higher scores on average (about a standard deviation higher).

Scores on Gifted Adult's Inventory of Aspergerisms as of 6 September 2021

Contents type: Personality test other than for mental ability.   Period: 2000-present

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.

• n: 196
• Median: 25.0
• Quartile deviation: 8.8
• Range: 54
• Maximum possible: 54
• Male median: 24.0 (n = 151)
• Female median: 29.0 (n = 42)
• Resolution: 0.60

Scores by males

n = 151

Scores by females

n = 42

Correlation of Gifted Adult's Inventory of Aspergerisms with other tests by I.Q. Tests for the High Range

Weighted average of correlations: -0.084 (N = 924, weighted sum = -78.07)

Conservatively estimated minimum g loading: -0.29

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, including possible floor/ceiling scores or outliers.

Correlation of Gifted Adult's Inventory of Aspergerisms with tests by others

Weighted average of correlations: -0.023 (N = 235, weighted sum = -5.43)

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, including possible floor/ceiling scores or outliers.

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 Gifted Adult's Inventory of Aspergerisms 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.

N = 734

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

Balanced g loading = -0.36

National medians for Gifted Adult's Inventory of Aspergerisms

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 national I.Q.'s of Gifted Adult's Inventory of Aspergerisms

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

• r = 0.06 (n = 136)

Correlation of Gifted Adult's Inventory of Aspergerisms with personal details

Correlation with personal details of Gifted Adult's Inventory of Aspergerisms - within females

Correlation with personal details of Gifted Adult's Inventory of Aspergerisms - within males

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.

Note: It can be deduced from this table that the g-loading of GAIA scores is lowly negative on the whole, but is actually positive in the lower half of the population who took this test.

Remark on internal statistics

The below statistics are based on a smaller sample (n = 60) from the year 2009, for which the internal data (item scores) were recorded.

Reliability

• Split-half (odd-even) = 0.89
• Split-half (other division) = 0.90
• Cronbach's alpha = 0.87

Notice: 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

• Standard error = 3.1 raw score points

Scores by age

N = 58

Scores by age - within females

N = 17

Scores by age - within males

N = 41

Item analysis

• Hardness = Proportion of candidates not checking that item
• r = Correlation with GAIA score

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