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Author Hirji, Karim F.

Title Exact analysis of discrete data / Karim F. Hirji
Published Boca Raton : Chapman & Hall/CRC, 2006
Online access available from:
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Description 1 online resource (xxiv, 521 pages) : illustrations
Contents ; Extensions; Derivation; ; POLYNOMIAL ALGORITHMS: I; Introduction; Exhaustive Enumeration; Monte-Carlo Simulation; Recursive Multiplication; Exponent Checks; Applications; The Fast Fourier Transform; ; POLYNOMIAL ALGORITHMS: II; Introduction; Bivariate Polynomials; A Conditional Polynomial; Backward Induction; Conditional Values; Applications; Trivariate Polynomials; An Extension; Network Algorithms; Power Computation; Practical Implementation; ; MULTINOMIAL MODELS; Introduction; Compositions and Partitions; A Single Multinomial; Trinary Response Models; Conditional Polynomials; Several 3 x K Tables; J x K Tables; ; MATCHED AND DEPENDENT DATA; Introduction; Matched Designs; Paired Binary Outcomes; Markov Chain Models; ; REFLECTIONS ON EXACTNESS; Introduction; Inexact Terminology; Bayesians and Frequentists; Design and Analysis; Status Quo Exactness
; Practical Inexactness; Formal Exactness; In Praise of Exactness; ; References; Index; ; Each chapter also contains Relevant Literature and Exercises sections
Computations; The ABC of Reporting; Additional Comments; At the Boundary; Equivalent Statistics; ; COMPUTING FUNDAMENTALS; Introduction; Computing Principles; Combinatorial Coeocients; Polynomial Storage and Evaluation; Computing Distributions; Roots of Equations; Iterative Methods; ; ELEMENTS OF CONDITIONAL ANALYSIS; Introduction; Design and Analysis; Modes of Inference; The 2 x 2 Table; The One Margin Fixed Design; The Overall Total Fixed Design; The Nothing Fixed Design; A Retrospective Design; The Inverse Sampling Design; Unconditional Analysis; Conditional Analysis; Comparing Two Rates; Points to Ponder; Derivation of Test Statistics; ; TWO 2 x 2 TABLES; Introduction; Sources of Variability; On Stratification; Data Examples; Statistical Models; Conventional Analysis; Conditional Analysis; An Example; A Second Example; On Case-Control Sampling; Anatomy of
DISCRETE DISTRIBUTIONS; Introduction; Discrete Random Variables; Probability Distributions; Polynomial Based Distributions; Binomial Distribution; Poisson Distribution; Negative Binomial Distribution; Hypergeometric Distribution; A General Representation; The Multinomial Distribution; The Negative Trinomial; Suffcient Statistics; The Polynomial Form; ; ONE-SIDED UNIVARIATE ANALYSIS; Introduction; One Parameter Inference; Tail Probability and Evidence; Exact Evidence Function; Mid-p Evidence Function; Asymptotic Evidence Function; Matters of Significance; Confidence Intervals; Illustrative Examples; Design and Analysis; Exercises; ; TWO-SIDED UNIVARIATE ANALYSIS; Introduction; Two-Sided Inference; Twice the Smaller Tail Method; Examples; The Likelihood Function; The Score Method; Additional Illustrations; Likelihood Ratio and Wald Methods; Three More Methods; Comparative
Interactions; ; ASSESSING INFERENCE; Introduction; Exact Unconditional Analysis; Randomized Inference; Exact Power; Exact Coverage; The Fisher and Irwin Tests; Some Features; Desirable Features; On Unconditional Analysis; Why the Mid-p?; ; SEVERAL 2 x 2 TABLES: I; Introduction; Three Models; Exact Distributions; The COR Model; Conditional Independence; Trend In Odds Ratios; Recommendations; ; SEVERAL 2 x 2 TABLES: II; Introduction; Models for Combining Risk; Testing for Homogeneity; Test Statistics; A Worked Example; Checking the TOR Model; An Incidence Density Study; Other Study Designs; Exact Power; Additional Issues; Derivation; ; THE 2 x K TABLE; Introduction; An Ordered Table; An Unordered Table; Test Statistics; An Illustration; Checking Linearity; Other Sampling Designs; Incidence Density Data; An Inverse Sampling Design; Additional Topics
Bibliography Includes bibliographical references (pages 485-513) and index
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Subject Computer science -- Mathematics
Discrete groups
Algoritmen.
Data-analyse.
Multivariate analyse.
Non-parametrische statistiek.
Análise multivariada.
Computer science -- Mathematics.
Dados categorizados.
Discrete groups.
Inferência estatística.
MATHEMATICS -- Group Theory.
Pequenas amostras.
Testes de hipóteses.
Form Electronic book
LC no. 2005053883
ISBN 142003619X
1584880708
9781420036190
9781584880707