Accurate distribution and its asymptotic expansion for the tetrachoric correlation coefficient

Journal of Multivariate Analysis ◽

10.1016/j.jmva.2009.12.011 ◽

2010 ◽

Vol 101 (4) ◽

pp. 936-948 ◽

Author(s):

Haruhiko Ogasawara

Keyword(s):

Asymptotic Expansion ◽

Correlation Coefficient ◽

Tetrachoric Correlation

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Calculation of the tetrachoric correlation coefficient

Psychometrika ◽

10.1007/bf02293968 ◽

1979 ◽

Vol 44 (2) ◽

pp. 169-172 ◽

Author(s):

D. R. Divgi

Keyword(s):

Correlation Coefficient ◽

Tetrachoric Correlation

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Asymptotic expansion of the sample correlation coefficient under nonnormality

Computational Statistics & Data Analysis ◽

10.1016/j.csda.2004.11.001 ◽

2006 ◽

Vol 50 (4) ◽

pp. 891-910 ◽

Author(s):

Haruhiko Ogasawara

Keyword(s):

Asymptotic Expansion ◽

Correlation Coefficient ◽

Sample Correlation

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A Monte Carlo Evaluation of the Tetrachoric Correlation Coefficient

Educational and Psychological Measurement ◽

10.1177/0013164403251318 ◽

2003 ◽

Vol 63 (6) ◽

pp. 931-950 ◽

Author(s):

Tammy Greer ◽

William P. Dunlap ◽

Gregory O. Beatty

Keyword(s):

Monte Carlo ◽

Correlation Coefficient ◽

Tetrachoric Correlation ◽

Monte Carlo Evaluation

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The Relationship of the Tetrachoric Correlation Coefficient to the Phi Coefficient Estimated from the Extreme Tails of a Normal Distribution of Criterion Scores

Educational and Psychological Measurement ◽

10.1177/001316445201200427 ◽

1952 ◽

Vol 12 (4) ◽

pp. 778-786 ◽

Author(s):

Norman C. Perry ◽

William B. Michael

Keyword(s):

Normal Distribution ◽

Correlation Coefficient ◽

Tetrachoric Correlation ◽

Phi Coefficient ◽

Relationship Of ◽

The Relationship

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Tables of the standard error of tetrachoric correlation coefficient

Psychometrika ◽

10.1007/bf02288703 ◽

1943 ◽

Vol 8 (3) ◽

pp. 193-203 ◽

Author(s):

Samuel P. Hayes

Keyword(s):

Correlation Coefficient ◽

Standard Error ◽

Tetrachoric Correlation

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Asymptotic Expansion and a Local Limit Theorem for a Function of the Kendall Rank Correlation Coefficient

The Annals of Statistics ◽

10.1214/aos/1176343465 ◽

1976 ◽

Vol 4 (3) ◽

pp. 597-606 ◽

Author(s):

Zuzana Praskova-Vizkova

Keyword(s):

Asymptotic Expansion ◽

Limit Theorem ◽

Correlation Coefficient ◽

Local Limit Theorem ◽

Rank Correlation ◽

Local Limit ◽

Kendall Rank Correlation

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Tetrachoric Correlation Coefficient

Wiley StatsRef: Statistics Reference Online ◽

10.1002/9781118445112.stat00385 ◽

2014 ◽

Author(s):

Bernard Harris

Keyword(s):

Correlation Coefficient ◽

Tetrachoric Correlation

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Computing Diagrams for the Tetrachoric Correlation Coefficient.

Journal of Educational Psychology ◽

10.1037/h0067966 ◽

1934 ◽

Vol 25 (1) ◽

pp. 72-72

Author(s):

Jack W. Dunlap

Keyword(s):

Correlation Coefficient ◽

Tetrachoric Correlation

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A comparison of computer routines for the calculation of the tetrachoric correlation coefficient

Psychometrika ◽

10.1007/bf02291396 ◽

1971 ◽

Vol 36 (2) ◽

pp. 165-174 ◽

Author(s):

Ernest C. Froemel

Keyword(s):

Correlation Coefficient ◽

Tetrachoric Correlation

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Measuring Correlation in Ordered Two-Way Contingency Tables

Journal of Marketing Research ◽

10.1177/002224378001700315 ◽

1980 ◽

Vol 17 (3) ◽

pp. 391-394 ◽

Author(s):

Ulf Olsson

Keyword(s):

Correlation Coefficient ◽

Ordinal Data ◽

Contingency Tables ◽

Tetrachoric Correlation ◽

Polychoric Correlation

The product moment correlation coefficient is often used even for ordinal data with only a few scale steps. This procedure may lead to biased results, where the bias depends on the number of scale steps and on the skewnesses of the observed variables. The polychoric correlation coefficient, which is a generalization of the tetrachoric correlation to the general case, is discussed as a possible measure of correlation for this kind of data.

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