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Richard Royall - Statistical Evidence

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Richard Royall Statistical Evidence
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    Statistical Evidence
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Interpreting statistical data as evidence, Statistical Evidence: A Likelihood Paradigm focuses on the law of likelihood, fundamental to solving many of the problems associated with interpreting data in this way. Statistics has long neglected this principle, resulting in a seriously defective methodology. This book redresses the balance, explaining why science has clung to a defective methodology despite its well-known defects. After examining the strengths and weaknesses of the work of Neyman and Pearson and the Fisher paradigm, the author proposes an alternative paradigm which provides, in the law of likelihood, the explicit concept of evidence missing from the other paradigms. At the same time, this new paradigm retains the elements of objective measurement and control of the frequency of misleading results, features which made the old paradigms so important to science. The likelihood paradigm leads to statistical methods that have a compelling rationale and an elegant simplicity, no longer forcing the reader to choose between frequentist and Bayesian statistics.

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Statistical Evidence MONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY General - photo 1

Statistical
Evidence

MONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY

General Editors

V. Isham, N. Keiding, T. Louis, N. Reid, R. Tibshirani, and H. Tong

1 Stochastic Population Models in Ecology and Epidemiology M.S. Barlett (1960)
2 Queues D.R. Coxand W.L Smith (1961)
3 Monte Carlo Methods J.M Hammersley and D.C. Handscomb (1964)
4 The Statistical Analysis of Series of Events D.R. Cox and P.A.W. Lewis (1966)
5 Population Genetics W.J. Ewens (1969)
6 Probability, Statistics and Time M.S. Barlett (1975)
7 Statistical Inference S.D. Silvey (1975)
8 The Analysis of Contingency Tables B.S. Everitt (1977)
9 Multivariate Analysis in Behavioural Research A.E. Maxwell (1977)
10 Stochastic Abundance Models S. Engen (1978)
11 Some Basic Theory for Statistical Inference E.J.G. Pitman (1979)
12 Point Processes D.R. Cox and V. Isham (1980)
13 Identification of Outliers D.M. Hawkins (1980)
14 Optimal Design S.D. Silvey (1980)
15 Finite Mixture Distributions B.S. Everitt and D.J. Hand (1981)
16 Classification A.D. Gordon (1981)
17 Distribution-Free Statistical Methods, 2nd edition J.S. Maritz (1995)
18 Residuals and Influence in Regression R.D. CookandS. Weisberg (1982)
19 Applications of Queueing Theory, 2nd edition G.F. Newell (1982)
20 Risk Theory, 3rd edition R.E. Beard, T. Pentikainen and E. Pesonen (1984)
21 Analysis of Survival Data D.R. Cox and D. Oakes (1984)
22 An Introduction to Latent Variable Models B.S. Everitt (1984)
23 Bandit Problems D.A. Berry and B. Fristedt (1985)
24 Stochastic Modelling and Control M.H.A. Davis and R. Winter (1985)
25 The Statistical Analysis of Composition Data J. Aitchison (1986)
26 Density Estimation for Statistics and Data Analysis B.W. Silverman (1986)
27 Regression Analysis with Applications G.B. Wetherill (1986)
28 Sequential Methods in Statistics, 3rd edition G.B. Wetherill and K.D. Glazebrook (1986)
29 Tensor Methods in Statistics P. McCullagh (1987)
30 Transformation and Weighting in Regression R.J. Carroll and D. Ruppert (1988)
31 Asymptotic Techniques for Use in Statistics O.E. Bandorff-Nielsen and D.R. Cox (1989)
32 Analysis of Binary Data, 2nd edition D.R. Cox and E.J. Snell (1989)
33 Analysis of Infectious Disease Data N.G. Becker (1989)
34 Design and Analysis of Cross-Over Trials B. Jones and M.G. Kenward (1989)
35 Empirical Bayes Methods, 2nd edition J.S. Maritz and T. Lwin (1989)
36 Symmetric Multivariate and Related Distributions K.T. Fang, S. Kotz and K. W. Ng (1990)
37 Generalized Linear Models, 2nd edition P. McCullagh and J.A. Nelder (1989)
38 Cyclic and Computer Generated Designs, 2nd edition J.A. John and E.R. Williams (1995)
39 Analog Estimation Methods in Econometrics C.F. Manski (1988)
40 Subset Selection in Regression A.J. Miller (1990)
41 Analysis of Repeated Measures M.J. Cmwder and D.J. Hand (1990)
42 Statistical Reasoning with Imprecise Probabilities P. Walley (1991)
43 Generalized Additive Models T.J. Hastie and R.J. Tibshirani (1990)
44 Inspection Errors for Attributes in Quality Control N.L Johnson, S. Kotz and X. Wu (1991)
45 The Analysis of Contingency Tables, 2nd edition B.S. Everitt (1992)
46 The Analysis of Quantal Response Data B.J.T. Morgan (1992)
47 Longitudinal Data with Serial CorrelationA state-space approach R.H. Jones (1993)
48 Differential Geometry and Statistics M. K. Murray and J. W. Rice (1993)
49 Markov Models and Optimization M.H.A. Davis (1993)
50 Networks and ChaosStatistical and probabilistic aspects O.E. Barndorff-Nielsen, J.L Jensen and W.S. Kendall (1993)
51 Number-Theoretic Methods in Statistics K.-T. Fang and Y. Wang (1994)
52 Inference and Asymptotics O.E. Barndorff-Nielsen and D.R. Cox (1994)
53 Practical Risk Theory for Actuaries C.D. Daykin, T. Pentikinen and M. Pesonen (1994)
54 Biplots J. C. Gower and D.J. Hand (1996)
55 Predictive InferenceAn introduction S. Geisser (1993)
56 Model-Free Curve Estimation M.E. Tarter and M.D. Lock (1993)
57 An Introduction to the Bootstrap B. Efron and R.J. Tibshirani (1993)
58 Nonparametric Regression and Generalized Linear Models P.J. Green and B.W. Silverman (1994)
59 Multidimensional Scaling T.F. Cox and M.A.A. Cox (1994)
60 Kernel Smoothing M.P. Wand and M.C. Jones (1995)
61 Statistics for Long Memory Processes J. Beran (1995)
62 Nonlinear Models for Repeated Measurement Data M. Davidian and D.M. Giltinan (1995)
63 Measurement Error in Nonlinear Models R.J. Carroll, D. Rupert and LA. Stefanski (1995)
64 Analyzing and Modeling Rank Data J.J. Marden (1995)
65 Time Series ModelsIn econometrics, finance and other fields D.R. Cox, D.V. Hinkley and O.E. Barndorff-Nielsen (1996)
66 Local Polynomial Modeling and its Applications J.Fan and I. Gijbels (1996)
67 Multivariate DependenciesModels, analysis and interpretation D.R. Cox and N. Wermuth (1996)
68 Statistical InferenceBased on the likelihood A. Azzalini (1996)
69 Bayes and Empirical Bayes Methods for Data Analysis B.P. Carlin and T.A. Louis (1996)
70 Hidden Markov and Other Models for Discrete-Valued Time Series I.L. Macdonaldand W. Zucchini(1997)
71 Statistical EvidenceA likelihood paradigm R. Royall (1991)
72 Analysis of Incomplete Multivariate Data J.L. Schafer (1997)
73 Multivariate Models and Dependence Concepts H. Joe (1997)
74 Theory of Sample Surveys M.E. Thompson (1997)
75 Retrial Queues G. Fatin and J.G.C. Templeton (1997)
76 Theory of Dispersion Models B. Jrgensen (1997)
77 Mixed Poisson Processes J.Grandell (1997)
78 Variance Components EstimationMixed models, methodologies and applications P.S.R.S. Rao (1997)
79 Bayesian Methods for Finite Population Sampling G. Meeden and M. Ghosh (1997)
80 Stochastic GeometryLikelihood and computation O.E. Barndorff-Nielsen, W.S. Kendall and M.N.M. van Lieshout (1998)
81 Computer-Assisted Analysis of Mixtures and Applications Meta-analysis, disease mapping and others D. Bhning (1999)
82 Classification, 2nd edition A.D. Gordon (1999)
83 Semimartingales and their Statistical Inference B.L.S. Prakasa Rao (1999)
84 Statistical Aspects of BSE and vCJDModels for Epidemics C.A. Donnelly and N.M. Ferguson (1999)
85 Set-Indexed Martingales G. Ivanoff and E. Merzbach (2000)
86 The Theory of the Design of Experiments D.R. Cox and N. Reid (2000)
87 Complex Stochastic Systems O.E. Barndorff-Nielsen, D.R. Cox and C. Klppelberg (2001)
88 Multidimensional Scaling, 2nd edition T.F. Cox and M.A.A. Cox (2001)
89 Algebraic StatisticsComputational Commutative Algebra in Statistics G. Pistone, E. Riccomagno and H.P. Wynn (2001)
90 Analysis of Time Series StructureSSA and Related Techniques N. Golyandina, V. Nekrutkin and A.A. Zhigljavsky (2001)
91 Subjective Probability Models for Lifetimes Fabio Spizzichino (2001)

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