The randomization model for experiments in block designs and the recovery of inter-block information

• Published in: Journal of statistical planning and inference Vol. 52; no. 3; pp. 359 - 374
• Main Authors: Caliński, Tadeusz, Kageyama, Sanpei
• Format: Journal Article
• Language: English
• Published: Lausanne Elsevier B.V 01.07.1996; New York,NY Elsevier Science; Amsterdam
• Subjects: 62K10; Best linear unbiased estimation; Block designs; Exact sciences and technology; Experimental design; Mathematics; Probability and statistics; Randomization model; Recovery of inter-block information; Sciences and techniques of general use; Statistics; Technical errors; Unit errors; Variance components; Recovery of inter-block information; Randomization model; Unit errors; Block designs; Variance components; 62K10; Best linear unbiased estimation; Technical errors; Randomization; Unbiased estimation; Block design; Randomized design; Experimental design; Best estimation; Linear estimation; Recovery; Variance component; Optimal design
• ISSN: 0378-3758; 1873-1171
• DOI: 10.1016/0378-3758(95)00124-7

A general randomization model for experiments in block designs and conditions for obtaining the best linear unbiased estimators of treatment parametric functions under the model are re-examined. It is shown how the best linear unbiased estimators under the overall randomization model can be obtained when the variance components are known. Furthermore, a general method of estimating these, usually unknown, variance components is described and properties of the resulting estimators of treatment parametric functions are considered. In connection with this the recovery of inter-block information in a general block design is discussed.