Work

Infinitesimal Jackknife Estimates of Standard Errors for Rotated Estimates of Redundancy Analysis: Applications to Two Real Examples

Year: 2025

Type: article

Abstract: In redundancy analysis (RA), the redundancy variates are interpreted in terms of the predictor variables that have the prominent redundancy loadings. Israels (1986) advocated the rotation of redundancy loadings to facilitate the interpretation of the rotated redundancy variates. In this paper, the purpose is to obtain the standard error estimates for rotated redundancy loadings that can facilitate the interpretation of the rotated redundancy variates. To this end, we modify the original RA-L model (Gu et al., 2023) and specify two modified RA-L models for orthogonal and oblique rotations, separately. On the basis of the modified RA-L models, we describe the infinitesimal jackknife (IJ) method that can produce the standard error estimates for rotated RA estimates. A simulation study is conducted to validate the standard error estimates from the IJ method, and two real examples are used to demonstrate the use of the standard error estimates for rotated redundancy loadings. Finally, we summarize the paper and provide additional remarks regarding the rotation methods and the use of numeric derivatives in the implementation of the IJ method.

Source: Psychometrika

DOI: 10.1017/psy.2024.8

Authors: Fei Gu, Somboon Jarukasemthawee, Kullaya Pisitsungkagarn, Ynte K. van Dam

Institutions: Chulalongkorn University, Wageningen University & Research

Language: English

Topic: Statistical Methods and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Chulalongkorn University, Thai Health Promotion Foundation