Using Sample Survey Weights in Multiple Regression Analyses of Stratified Samples

Abstract The rationale for the use of sample survey weights in a least squares regression analysis is examined with respect to four increasingly general specifications of the population regression model. The appropriateness of the weighted regression estimate depends on which model is chosen. A proposal is made to use the difference between the weighted and unweighted estimates as an aid in choosing the appropriate model and hence the appropriate estimator. When applied to an analysis of the familial and environmental determinants of the educational level attained by a sample of young adults, the methods lead to a revision of the initial additive model in which interaction terms between county unemployment and race, as well as between sex and mother's education, are included.

[1]  D. Pfeffermann,et al.  Regression Analysis of Data from a Cluster Sample , 1981 .

[2]  W. W. Muir,et al.  Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .

[3]  D. Holt,et al.  Regression Analysis of Data from Complex Surveys , 1980 .

[4]  C. R. Hill.  Capacities, Opportunities and Educational Investments: The Case of the High School Dropout , 1979 .

[5]  I. Thomsen,et al.  Design and estimation problems when estimating a regression coefficient from survey data , 1978 .

[6]  F. Mosteller,et al.  Data Analysis and Regression , 1978 .

[7]  Kent W. Smith.  Analyzing Disproportionately Stratified Samples With Computerized Statistical Packages , 1976 .

[8]  D. O. Parsons.  Intergenerational Wealth Transfers and the Educational Decisions of Male Youth , 1975 .

[9]  P. Wachtel.  The Effect of School Quality on Achievement, Attainment Levels, and Lifetime Earnings , 1975 .

[10]  S. Haberman.  How Much Do Gauss-Markov and Least Square Estimates Differ? A Coordinate-Free Approach , 1975 .

[11]  L. Kish,et al.  Inference from Complex Samples , 1974 .

[12]  J. Bachman.  Youth in Transition. Volume III. Dropping Out--Problem or Symptom?. , 1974 .

[13]  Arleen Leibowitz,et al.  Home Investments in Children , 1974, Journal of Political Economy.

[14]  K. R. W. Brewer,et al.  THE EFFECT OF SAMPLE STRUCTURE ON ANALYTICAL SURVEYS1,2 , 1973 .

[15]  M. D. Blumenthal.  Justifying Violence: Attitudes of American Men , 1972 .

[16]  Y. Ben-Porath.  The Production of Human Capital and the Life Cycle of Earnings , 1967, Journal of Political Economy.

[17]  D. M. Ellis,et al.  Applied Regression Analysis , 1968 .

[18]  H. S. Konijn.  Regression Analysis in Sample Surveys , 1962 .

[19]  Kenneth J. Arrow,et al.  A Textbook of Econometrics. , 1954 .

[20]  J. Morgan,et al.  Results of Alternative Statistical Treatments of Sample Survey Data , 1951 .

[21]  Charles F. Manski,et al.  Alternative Estimators and Sample Designs for Discrete Choice Analysis , 1981 .

[22]  F. Juster,et al.  The economic and political impact of general revenue sharing , 1977 .

[23]  J. Morgan,et al.  Five Thousand American Families--Patterns of Economic Progress. Volume V: Components of Change in Family Well-Being and Other Analyses of the First Eight Years of the Panel Study of Income Dynamics. , 1977 .

[24]  L. N. Edwards.  The Economics of Schooling Decisions: Teenage Enrollment Rates. , 1975 .

[25]  James N. Morgan,et al.  A Panel Study of Income Dynamics: Tape codes and indexes, 1968-1972 interviewing years; waves I-V , 1972 .

[26]  Richard D. Porter.  On the use of survey sample weights in the linear model , 1972 .

[27]  G. Becker,et al.  Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition , 1993 .