Imputation of Censored Response Data in a Bivariate Designed Experiment

ABSTRACT Imputation of censored response data in bivariate experiments with correlated responses has not been adequately addressed in the current literature. In this article, we show several ways of handling and imputing censored response data in bivariate designed experiments. This article introduces an imputation method for censored response data in designed experiments using the conditional expectation of the relevant truncated distribution. The method takes into consideration the dependency as well as the multivariate nature of the response variables. A numerical example is presented. Variations of the method are presented and imputed values are compared with each other and the original data.

[1]  George L. Edgett.  Multiple Regression with Missing Observations Among the Independent Variables , 1956 .

[2]  George E. Nicholson,et al.  Estimation of Parameters from Incomplete Multivariate Samples , 1957 .

[3]  J. Taylor,et al.  Censored Observations in Randomized Block Experiments , 1959 .

[4]  Calvin L. Williams,et al.  Modern Applied Statistics with S-Plus , 1997 .

[5]  Nasser Fard,et al.  Estimation of dispersion effects from robust design experiments with censored response data , 2001 .

[6]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[7]  Jye-Chyi Lu,et al.  Process characterization and optimization based on censored data from highly fractionated experiments , 1994 .

[8]  William N. Venables,et al.  Modern Applied Statistics with S-Plus. , 1996 .

[9]  T. W. Anderson.  Maximum Likelihood Estimates for a Multivariate Normal Distribution when Some Observations are Missing , 1957 .

[10]  Sheldon M. Ross,et al.  A Course in Simulation , 1990 .

[11]  M Hamada,et al.  Analysis of censored data from higly fractionated experiments , 1991 .

[12]  G. Derringer,et al.  Simultaneous Optimization of Several Response Variables , 1980 .

[13]  Frederic M. Lord.  ESTIMATION OF PARAMETERS FROM INCOMPLETE DATA , 1954 .

[14]  M. Hamada,et al.  Analyzing Experiments with Correlated Multiple Responses , 2001 .

[15]  Wayne Nelson,et al.  Applied life data analysis , 1983 .

[16]  Gerald J. Hahn,et al.  The Analysis of a Fractional Factorial Experiment With Censored Data Using Iterative least Squares , 1981 .

[17]  Wayne B. Nelson,et al.  Applied Life Data Analysis: Nelson/Applied Life Data Analysis , 2005 .

[18]  Margaret A. Nemeth,et al.  Applied Multivariate Methods for Data Analysis , 1998, Technometrics.