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Group sequential methods with applications to clinical trials.
Authors: ---
ISBN: 0849303168 9780849303166 Year: 2000 Publisher: Boca Raton Chapman and Hall/CRC

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Abstract

This book describes group sequential stopping rules designed to reduce average study length and control Type I and Type II error probabilities. The authors present one-sided and two-sided tests, introduce several families of group sequential tests, and explain how to choose the most appropriate test and interim analysis schedule. Their topics include placebo-controlled randomized trials, bio-equivalence testing, crossover and longitudinal studies, and linear and generalized linear models. Group Sequential Methods with Applications to Clinical Trials effectively surveys and extends modern methods for planning and conducting interim analyses.

Theory of rank tests
Authors: --- ---
ISBN: 1281145033 9786611145033 0080519105 0585492298 9780585492292 9780126423501 0126423504 Year: 1999 Publisher: San Diego, Calif. Academic Press

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The first edition of Theory of Rank Tests (1967) has been the precursor to a unified and theoretically motivated treatise of the basic theory of tests based on ranks of the sample observations. For more than 25 years, it helped raise a generation of statisticians in cultivating their theoretical research in this fertile area, as well as in using these tools in their application oriented research. The present edition not only aims to revive this classical text by updating the findings but also by incorporating several other important areas which were either not properly developed before


Book
Factorization methods for discrete sequential estimation
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ISBN: 0120973502 9780120973507 9780080956374 0080956378 9786612289330 1282289330 Year: 1977 Volume: 128 Publisher: New York : Academic Press,

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Factorization methods for discrete sequential estimation

Keywords

Probability theory --- Control theory. --- Digital filters (Mathematics). --- Estimation theory. --- Matrices. --- Control theory --- Digital filters (Mathematics) --- Estimation theory --- Matrices --- 519.244 --- 519.6 --- 681.3*G13 --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 519.244 Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Sequential methods. Optimal stopping. Cusum technique (cumulative sum technique) --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Estimating techniques --- Least squares --- Mathematical statistics --- Stochastic processes --- Data smoothing filters --- Filters, Digital (Mathematics) --- Linear digital filters (Mathematics) --- Linear filters (Mathematics) --- Numerical filters --- Smoothing filters (Mathematics) --- Digital electronics --- Filters (Mathematics) --- Fourier transformations --- Functional analysis --- Numerical analysis --- Numerical calculations --- Dynamics --- Machine theory --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems

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