The estimation of variance-covariance and correlation matrices from incomplete data

Employing simulated data, several methods for estimating correlation and variance-covariance matrices are studied for observations missing at random from data matrices. The effect of sample size, number of variables, percent of missing data and average intercorrelations of variables are examined for several proposed methods.

[1]  S. F. Buck A Method of Estimation of Missing Values in Multivariate Data Suitable for Use with an Electronic Computer , 1960 .

[2]  Robert M. Elashoff,et al.  Missing Observations in Multivariate Statistics II. Point Estimation in Simple Linear Regression , 1967 .

[3]  Frederic M. Lord,et al.  Estimation of Parameters from Incomplete Data , 1954 .

[4]  Y. Haitovsky Missing Data in Regression Analysis , 1968 .

[5]  C. Radhakrishna Rao,et al.  Analysis of Dispersion with Incomplete Observations on One of the Characters , 1956 .

[6]  Esther C. Jackson Missing Values in Linear Multiple Discriminant Analysis , 1968 .

[7]  John E. Walsh,et al.  Computer-Feasible Method for Handling Incomplete Data in Regression Analysis , 1961, JACM.

[8]  R. Bargmann,et al.  MAXIMUM LIKELIHOOD ESTIMATION WITH INCOMPLETE MULTIVARIATE DATA , 1964 .

[9]  Frederic M. Lord,et al.  Equating test scores—A maximum likelihood solution , 1955 .

[10]  Kern W. Dickman,et al.  Sample and population score matrices and sample correlation matrices from an arbitrary population correlation matrix , 1962 .

[11]  D. Wechsler The measurement and appraisal of adult intelligence, 4th ed. , 1958 .

[12]  R. Elashoff,et al.  Missing Observations in Multivariate Statistics I. Review of the Literature , 1966 .

[13]  S. S. Wilks Moments and Distributions of Estimates of Population Parameters from Fragmentary Samples , 1932 .

[14]  M. Kendall A course in multivariate analysis , 1958 .

[15]  M. Glasser,et al.  Linear Regression Analysis with Missing Observations among the Independent Variables , 1964 .

[16]  R. R. Hocking,et al.  Estimation of Parameters in the Multivariate Normal Distribution with Missing Observations , 1968 .

[17]  Maurice G. Kendall,et al.  A course in multivariate analysis , 1958 .

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

[19]  A. E. Maxwell,et al.  Factor Analysis as a Statistical Method. , 1964 .

[20]  A. Dempster Elements of Continuous Multivariate Analysis , 1969 .

[21]  Henry F. Kaiser,et al.  A Measure of the Average Intercorrelation , 1968 .

[22]  R. J. Monroe,et al.  An investigation of some multiple regression methods for incomplete samples , 1959 .

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

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