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Journal of the American Statistical Association Volume 70, 1975 - Issue 350
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Theory and Method

Exact Variance of Combined Inter- and Intra-Block Estimates in Incomplete Block Designs

C. G. Khatri Gujarat University, Ahmedabad, India
&
K. R. Shah Department of Statistics, University of Waterloo, Waterloo, Ontario, Canada
Pages 402-406 | Received 01 Oct 1973, Published online: 06 Apr 2012

References

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  • Graybill , F. A. and Deal , R. B. 1959 . “Combining Unbiased Estimators,” . Biometrics , 15 December : 543 – 50 .
  • Graybill , F. A. , Deal , R. B. and Weeks , D. L. 1959 . “Combining Inter-Block and Intra-Block Information in Balanced Incomplete Blocks,” . Annals of Mathematical Statistics , 30 September : 799 – 805 .
  • Khatri , C. G. and Shah , K. R. 1974 . “Estimation of Location Parameters from Two Linear Models Under Normality,” . Communications in Statistics , 3 July : 647 – 63 .
  • Kotz , S. , Johnson , N. L. and Boyd , D. W. 1967 . “Distributions of Quadratic Forms: Central Case,” . Annals of Mathematical Statistics , 38 June : 823 – 37 .
  • Rao , C. R. 1947 . “General Methods of Analysis for Incomplete Block Designs,” . Journal of American Statistical Association , 42 December : 541 – 61 .
  • Roy , J. and Shah , K. R. 1962 . “Recovery of Inter-Block Information” . Sankhyā, Series A , 24 August : 269 – 80 .
  • Ruben , H. 1962 . “Probability Content of Regions under Spherical Normal Distributions, IV: the Distribution of Homogeneous and Non-homogeneous Quadratic Forms of Normal Variables,” . Annals of Mathematical Statistics , 33 June : 542 – 70 .
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  • Shaarawi , El A. , Prentice , R. L. and Shah , K. R. “Marginal Procedures for Mixed Models with Reference to Block Designs,” . Sankhyā, Series B , in press
  • Shah , K. R. 1964 . “Use of Inter-Block Information to Obtain Uniformly Better Estimators,” . Annals of Mathematical Statistics , 35 September : 1064 – 78 .
  • Shah , K. R. 1971 . “Use of Truncated Estimator of Variance Ratio in Recovery of Inter-Block Information,” . Annals of Mathematical Statistics , 42 April : 816 – 9 .
  • Stein , C. 1966 . “An Approach to the Recovery of Inter-Block Information in Balanced Incomplete Block Designs,” . In Research Papers in Statistics , Edited by: David , F. N. 351 – 66 . New York : John Wiley and Sons, Inc. .
  • Yates , F. 1939 . “The Recovery of Inter-Block Information in Varietal Trials Arranged in Three Dimensional Lattices,” . Annals of Eugenics , 9 June : 136 – 56 .
  • Yates , F. 1940 . “The Recovery of Inter-Block Information in Balanced Incomplete Block Designs,” . Annals of Eugenics , 10 December : 317 – 25 .

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