On complete classes of experiments for certain invariant problems of linear inference

DOI10.1016/0378-3758(82)90075-1zbMath0501.62070OpenAlexW1990142430MaRDI QIDQ1172360

Bikas Kumar Sinha

Publication date: 1982

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(82)90075-1

zbMATH Keywords

invariant matricescomplete classes of experimentsinvariant g- inversesnon-singularly estimable full-rank problems

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Foundations and philosophical topics in statistics (62A01) Theory of matrix inversion and generalized inverses (15A09) Statistical block designs (62K10) General theory for finite permutation groups (20B05) Complete class results in statistical decision theory (62C07)

Related Items (3)

Optimum tests for treatments when blocks are nested and random ⋮ Weighted A-efficiency of block designs for making treatment-control and treatment-treatment comparisons ⋮ Optimal designs for models with block-block resp. treatment-treatment correlations

Cites Work

• Some aspects of simplicity in the analysis of block designs
• General equivalence theory for optimum designs (approximate theory)
• On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
• Invariant Problems of Linear Inference and Related Designs—An Addendum
• Invariant Problems of Linear Inference and Related Designs
• Comparison of Relative Efficiency of Some Classes of Designs
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