An application of discriminant analysis to variable and nonvariable stars

Statistics

Scientific paper

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Cepheid Variables, Discriminant Analysis (Statistics), Classifications, Metallicity, Star Clusters, Stellar Luminosity, Stellar Spectrophotometry

Scientific paper

Discriminant analysis is applied to nonvariable and Delta Scuti variable stars in the lower part of the instability strip. The parameters employed, uvby-beta indices, Mv, and V sin i, are not found to be sufficient for a satisfactory discrimination between the two groups. However, in general, variable stars tend to be slightly more luminous and to have a higher m1 index and a lower V sin i than nonvariable stars. It is found that in clusters variable stars have a slightly higher m1 index (and V sin i) than nonvariable stars. The stepwise procedure used begins with a selection of the best discriminating variable according to a certain criterion; a second discriminating variable is then selected as the variable best able to improve the value of the discrimination criterion in combination with the first variable and, in similar fashion, for the subsequent variables.

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