
doi: 10.1007/bf02293739
Commonality components have been defined as a method of partitioning squared multiple correlations. In this paper, the asymptotic joint distribution of all 2k − 1 squared multiple correlations is derived. The asymptotic joint distribution of linear combinations of squared multiple correlations is obtained as a corollary. In particular, the asymptotic joint distribution of commonality components are derived as a special case. Simultaneous and nonsimultaneous asymptotic confidence intervals for commonality components can be obtained from this distribution.
Measures of association (correlation, canonical correlation, etc.), Asymptotic distribution theory in statistics, partitioning squared multiple correlations, Applications of statistics to psychology
Measures of association (correlation, canonical correlation, etc.), Asymptotic distribution theory in statistics, partitioning squared multiple correlations, Applications of statistics to psychology
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