Applying the Jackknife Statistic in Testing and Interpreting Canonical Weights, Loadings, and Cross-Loadings

In conventional canonical analysis, canonical parameters such as weights and loadings, which typically are not tested individually for statistical significance, are commonly used for interpreting the contributions of particular predictor and criterion variables to interset relationships. As an alternative to the traditional use of arbitrary cutoff values for such interpretations, the generalized jackknife statistic may be used to give estimated standard errors for canonical parameters, thereby enabling these parameters to be tested for statistical significance. The authors (a) address major scaling considerations encountered in jackknifing canonical parameters, (b) report experience in using the jackknife statistic to test the significance of canonical weights, loadings, and cross-loadings, (c) explore effects of different omitted subgroup sizes and subsamples, and (d) review advantages and limitations of jackknifing canonical parameters.

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