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Abstract
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Regression models are very useful in describing and predicting real world phenomena. When the number of
predictors in regression models is high, data analysis is difficult. Dimension reduction has become one of the most important
issues in regression analysis because of its importance in dealing with problems with high-dimensional data. In this paper,
the methods of diminishing the dimension of variables, which include the estimation of central subspace based on the inverse
regression, the likelihood acquisition method and principal component analysis are considered. Using a real data associated
with the dental problems the Logistic regression is fitted and the correct classification of the data computed. The simulation
study is presented to compare the sufficient dimension reduction methods with each other.
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