Canonical Correlation and Chi-Square
Relationships and Interpretation
Bibliographic Data
| ID | 10121153 |
|---|---|
| Authors | William P Dunlap (Tulane University, corresponding author), Charles J Brody (Tulane University), Tammy Greer (0000-0003-2883-5803, University of Southern Mississippi) |
| Year | 2000 |
| Volume | 127 |
| Issue | 4 |
| Pages | 341-353 |
| Publication date | 2000-10-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The Journal of General Psychology (JOURNAL) |
| Journal identifiers | ISSN: 0022-1309 • E-ISSN: 1940-0888 |
| Publisher | Taylor & Francis (PUBLISHER • GB) |
| DOI | 10.1080/00221300009598588 |
| PMID | 11109997 |
| OpenAlex | W2085783320 |
| Language | EN |
| Citations received | 2 |
| References cited | 11 |
A 2 x 2 chi-square can be computed from a phi coefficient, which is the Pearson correlation between two binomial variables. Similarly, chi-square for larger contingency tables can be computed from canonical correlation coefficients. The authors address the following series of issues involving this relationship: (a) how to represent a contingency table in terms of a correlation matrix involving r - 1 row and c - 1 column dummy predictors; (b) how to compute chi-square from canonical correlations solved from this matrix; (c) how to compute loadings for the omitted row and column variables; and (d) the possible interpretive advantage of describing canonical relationships that comprise chi-square, together with some examples. The proposed procedures integrate chi-square analysis of contingency tables with general correlational theory and serve as an introduction to some recent methods of analysis more widely known by sociologists
Binomial coefficient · Canonical analysis · Canonical correlation · Chi-square test · Column (typography · Combinatorics · Contingency table · Correlation · Correlation coefficient · Geometry · Matrix (chemical analysis · Pearson product-moment correlation coefficient · Square (algebra · Square matrix · Statistics · Computational Drug Discovery Methods · Mathematics · Sensory Analysis and Statistical Methods · Statistical Methods and Applications
| Unique citing works | 2 |
|---|---|
| Citations per year | 0,11 |
| Citation span | 2008 - 2022 (15) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |