Abstract
We develop simple noniterative estimators of the polyserial correlation coefficient. A general relationship between the polyserial correlation and the point polyserial correlation is exploited to give extensions of Pearson's, Brogden's, and Lord's biserial estimators to the multicategory setting. The small sample and asymptotic properties of these estimators are studied in some detail. A comparison with maximum likelihood estimates shows that Lord's polyserial estimator is fairly efficient across three probability models.
Original language | English (US) |
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Pages (from-to) | 427-443 |
Number of pages | 17 |
Journal | Psychometrika |
Volume | 61 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1996 |
Externally published | Yes |
Keywords
- Biserial correlation
- Brogden's estimator
- Lord's estimator
- Maximum likelihood
ASJC Scopus subject areas
- General Psychology
- Applied Mathematics