Date of Award

1973

Degree Type

Report

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Rex L. Hurst

Second Advisor

Ronald V. Canfield

Third Advisor

Elwin Eastman

Abstract

Missing data in regression is often a problem to research workers because standard regression methods are applicable only to complete data sets. At present there are three general methods for solving the problem of missing data.

At first, the reduced data method, reduces the incomplete data set to a complete data set before analyzing. Although this method is very simple to apply, substantial amounts of information are sometimes lost when data is eliminated. This results in less precise estimates of the regression parameters.

The second method, generalized least squares, estimates the missing values through least squares techniques, thus obtaining a complete set of data to which regular regression techniques can be applied. This method is practical but relies on estimates to obtain other estimates, thus again creating some loss in precision. Also, it may require multistage processing which could be very time consuming. Afifi and Elashoff (1966), Yates (1933), Bartlett (1937), Wilkinson (1958), and Goldberger (1964) have all given examples of the generalized least squares method for estimating the missing data

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