Study on outliers in factorial design of experiments
Abstract
In this dissertation, we discuss the sensitivity of optimum balanced
2m fractional designs of resolutiun V to outliers using the measure suggested
by Box and Draper (1975). In addition, we define a new measure of
robustness of design with respect to outliers , which we called the "0ut-
lier-insensitivity factor". Various properties of these two measures of
robustness of designs (with respect to outliers) will be outlined. The
optimum balanced resolution V plans are known in the literature for practical
values of m and the number of observations. For Srivastava-chopra
optimum balanced resolution V plans for 2m factorial design we first simplified
expressions for these two measures of insensitivity. We then find
their values for optimum designs when 4<m<8, and it will be shown that sensitivities
to outliers of these optimum designs are low,
Citation
Doctor of Philosophy in applied statistics,University of Nairobi,June,1984.Publisher
University of Nairobi Department of Commerce