The Relationship Algebra of an Experimental Design
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Publication:3245675
DOI10.1214/aoms/1177706800zbMath0078.33703OpenAlexW2067155032MaRDI QIDQ3245675
Publication date: 1957
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177706800
Related Items (21)
Analysis of variance of balanced fractional \(S^ m\) factorial designs of resolution \(V_{p,q}\) ⋮ Randomization-based models for multitiered experiments. I: A chain of randomizations ⋮ The effect of randomization on the analysis of randomized block design ⋮ On randomization in multivariate analysis of variance ⋮ On the characteristic polynomial of the information matrix of balanced fractional \(s^ m\) factorial designs for resolution \(V_{p,q}\) ⋮ A Spectral Analysis Approach for Experimental Designs ⋮ Characteristic polynomials of the information matrices of balanced fractional \(3^ m\) factorial designs of resolution V ⋮ Existence conditions for balanced fractional 3mfactorial designs of resolution R({00, 10, 01, 20, 11}) ⋮ Symmetry studies and decompositions of entropy ⋮ On the algebras of symmetries (groups of collineations) of designs from finite Desarguesian planes with applications in statistics ⋮ On the commutant algebras corresponding to the permutation representation of the full collineation groups of \(PG(k,s)\) and \(EG(k,s)\), \(s=p^ r\), \(k\geq 2\) ⋮ Bayes invariant quadratic estimation in general linear regression models ⋮ Characterization of Balanced Fractional 3mFactorial Designs of Resolution III ⋮ On an Invariance Property for First- and Second-order Moments of Estimated Variance-covariance Components1 ⋮ Robustness of balanced fractional \(2^ m\) factorial designs derived from simple arrays ⋮ Analysis of variance of balanced fractional factorial designs ⋮ On the extension of Gauss-Markov theorem to complex multivariate linear models ⋮ An introduction to relationship algebras ⋮ Characterization of balanced second-order designs for \(3^m\) factorials ⋮ Balanced fractional \(\text{3}^m\) designs of resolution IV ⋮ Algebra of a row-column design
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