A Hierarchical Map and Application to Traverse and Unify Analyses Subsumed by Canonical Correlation

Nimon, K (通讯作者),Univ Texas Tyler, Dept Human Resource Dev, Tyler, TX 75799 USA.
2022-11-2
This article presents a hierarchical map of analyses subsumed by canonical correlation and a shiny application to facilitate the connections between said analyses. Building on the work of other researchers who used canonical correlation analyses to unify analyses in the general linear model, we demonstrate that the hierarchy is not as flat as some have portrayed. While a simpler hierarchy may seem to be more accessible, it implies a lack of relationship between analyses that may cause confusion when learning the vast majority of univariate and multivariate analyses in the general linear model. Because it is not always intuitive how all the relevant analyses for a given data type can be conducted, we developed the Shiny application canCORRgam to demonstrate the hierarchical path of analyses subsumed by canonical correlation for 15 different models. The canCORRgam application provides emerging researchers evidence of the transitive properties implied in the map. Our work also promotes meta-analytic thinking and practice as we provide the tools, formula, and software to relate test statistics to effect sizes in addition to transforming relevant test statistics and effect sizes to equivalent test statistics and effect sizes.
MULTIVARIATE BEHAVIORAL RESEARCH
卷号:57|期号:6|页码:1027-1046
ISSN:0027-3171|收录类别:SCIE
语种
英语
来源机构
University of Texas System; University of Texas at Tyler
被引频次(WOS)
0
被引频次(其他)
0
180天使用计数
0
2013以来使用计数
2
EISSN
1532-7906
出版年
2022-11-2
DOI
10.1080/00273171.2021.1943295
学科领域
循证社会科学-综合
关键词
General linear model canonical correlation analysis multivariate R
WOS学科分类
Mathematics, Interdisciplinary Applications Social Sciences, Mathematical Methods Psychology, Experimental Statistics & Probability