Statistics of Association and Analogies (German)

Introduction

This is a German version of the verbal section of the Test For Genius.

Scores on Association and Analogies (German) as of 10 February 2023

Contents type: Verbal.   Period: 2004-2005

• n: 6
• Median: 11.5
• Quartile deviation: 2.5
• Range: 17
• Maximum possible: 27
• Male median: 11.5 (n = 6)
• No females have taken this test yet.
• Proportion of males among candidates: 1.000
• Hardness: 0.60
• Resolution: 0.32

Correlation of Association and Analogies (German) with other mental ability tests

Weighted average of correlations: 0.953 (N = 52, weighted sum = 50)

Estimated g factor loading: 0.98

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 3 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Compound correlation of Association and Analogies (German) with other mental ability tests

Because the amount of data in the above table (correlations per test) is relatively small, the test has actually been normed using the compound variable of all known scores on other tests (including tests with only one pair). This concerns 133 pairs with a compound correlation of .84, as reported under the norm table.

Estimated loadings of Association and Analogies (German) 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 = 36

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

Balanced g loading = 0.97

National medians for Association and Analogies (German)

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 Association and Analogies (German)

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

• r = 0.74 (n = 6)

Correlation of Association and Analogies (German) with personal details

Reliability

• Split-half (odd-even) = 0.92
• Split-half (1, 2… 5, 6… vs. 3, 4… 7, 8…) = 0.82
• Cronbach's alpha = 0.86

Error

• Standard error = 2.2 raw score points

Scores by age

N = 6

Scores by year taken

r_{year taken × median score} = 1.00 (N = 6)

Robustness and overall test quality

• Robustness by month = 0.42 (r_{raw scores × months} = 0.65)
• Quality = 0.639

Item analysis

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

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