A Linear Model for Estimation with Composite Sample Data

  • Ganapati P. PatilEmail author
  • Sharad D. Gore
  • Charles Taillie*
Part of the Environmental and Ecological Statistics book series (ENES, volume 4)


The foregoing chapters covered various issues involving composite sample data with their statistical treatment. The problems vary from classification of individual samples to drawing inference on population parameters, especially the population mean. The measurements can be either presence/absence or continuous. A common theme in all these chapters is the need to establish a relationship between individual sample values and composite sample values.


Random Vector Composite Sample Individual Sample Random Matrix Kronecker Product 
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  1. Bohrnstedt, G. W. and Goldberger, A. S. (1969). On the exact covariance of products of random variables. J. Am. Stat. Assoc. 64:1439–1443.zbMATHCrossRefGoogle Scholar
  2. Brown, G. H. and Fisher, N. I. (1972). Subsampling a mixture of sampled material. Technometrics 14:663–668.zbMATHCrossRefGoogle Scholar
  3. Cameron, J. M. (1951). The use of components of variance in preparing schedules for sampling of baled wool. Biometrics 7:83–96.CrossRefGoogle Scholar
  4. Elder, R. S. (1977). Properties of composite sampling procedures. Ph.D. Dissertation. Virginia Polytechnic Institute and State University, Blacksburg, VA.Google Scholar
  5. Elder, R. S., Thompson, W. O., and Myers, R. H. (1980). Properties of composite sampling procedures. Technometrics 22:179–186.zbMATHCrossRefGoogle Scholar
  6. Graham, A. (1981). Kronecker Products and Matrix Calculus: with Applications. Ellis Horwood, Chichester.zbMATHGoogle Scholar
  7. Orban, J. E., Lordo, R., and Schwemberger, J. (1990). Statistical methods for analyzing composite sample data applied to EPA’s human monitoring program. MS.Google Scholar
  8. Rohde, C. A. (1976). Composite sampling. Biometrics 32:273–282.zbMATHCrossRefMathSciNetGoogle Scholar
  9. Skinner, C. J., Holt, D., and Smith, T. M. F. (1989). Analysis of Complex Surveys. Wiley, New York, NY.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Ganapati P. Patil
    • 1
    Email author
  • Sharad D. Gore
    • 2
  • Charles Taillie*
    • 3
  1. 1.Center for Statistical Ecology and Environmental StatisticsPennsylvania State UniversityUniversity ParkUSA
  2. 2.Department of StatisticsUniversity of PunePuneIndia
  3. 3.Center for Statistical Ecology and Environmental StatisticsPenn State UniversityUniversity ParkUSA

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