Abstract
A sample of 67 carbon stars is investigated by the method of multidimensional statistical analysis. As a result, three main factors are distinguished: Fl, F2, and F3. Various relationships between these factors and the spectral subtypes of carbon stars are considered. Carbon stars are clearly differentiated with respect to Fl and F3 and form separate types (R and N) of objects, while the difference with respect to F2 is not significant. A comparison of the factors Fl, F2, and F3 and the two-dimensional C classification shows that Fl correlates with the first temperature parameter of the C classification while F2 and F3 correlate with the second parameter, reflecting the variation of carbon abundance. The error in classifying this sample of carbon stars with respect to the first parameter does not exceed 1.5 spectral subtypes, while with respect to the second it does not exceed 1.8 subtypes.
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