This paper reviews various procedures of standardization and component analysis which utilize vector or matrix multiplication or are based on regression analysis. Substantive examples using these techniques are drawn from demography and from previous studies of the occupational mobility and income difference of blacks and whites. Modifications of decomposition equations found in the latter studies are developed which take statistical interaction into account. Finally, Michelson's relatively unknown approach to multiple component analysis is presented, together with our own explorations of the properties of this type of analysis.
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