The object of this study is to develop multidetector size-exclusion chromatography (SEC) methods to determine the number of arms per molecule across the molecular size distribution of star-branched polymers. An empirical fit between the intrinsic viscosity molecular contraction factor g' and the number of arms f is used as an alternative to converting g' values to root mean square radii ratios used by random walk models. The quantitative analysis of star polymer distributions by SEC is then reduced to understanding factors unique to the accurate measurement of g' across the molecular size distribution. Two methods of analyzing SEC data are then tested: (1) the "conventional method" utilizing values of weight-average molecular weight and intrinsic viscosity at each retention volume and (2) the method of component chromatograms. The latter is a new method useful when only a few different types of branching are present. It depends on fitting each detector's chromatograms as the sum of component chromatograms. Plotting the intrinsic viscosity of the branched polymer versus that of the linear polymer at the same molecular weight was useful for diagnosing problems. The conventional method was defeated by axial dispersion in the narrow chromatograms and the homogeneity of branching in the samples. The component chromatogram method avoids the axial dispersion problem but its value depends on how accurately the component peaks reflected the true situation. In this study, the method provided the most reasonable values when component peaks were grouped together.