Logical consistency in simultaneous statistical test procedures

[1]  D. Mayo,et al.  Severe Testing as a Basic Concept in a Neyman–Pearson Philosophy of Induction , 2006, The British Journal for the Philosophy of Science.

[2]  Julio Michael Stern.  Constructive Verification, Empirical Induction, and Falibilist Deduction: A Threefold Contrast , 2011, Inf..

[3]  Alan R Templeton,et al.  Coherent and incoherent inference in phylogeography and human evolution , 2010, Proceedings of the National Academy of Sciences.

[4]  J. Aitchison.  Confidence‐Region Tests , 1964 .

[5]  A. Tamhane,et al.  Multiple Comparison Procedures , 1989 .

[6]  Rafael Izbicki,et al.  Testing allele homogeneity: the problem of nested hypotheses , 2012, BMC Genetics.

[7]  D. B. Duncan,et al.  A Bayesian Approach to Multiple Comparisons , 1965 .

[8]  J. Shaffer.  Modified Sequentially Rejective Multiple Test Procedures , 1986 .

[9]  Eckart Sonnemann,et al.  General Solutions to Multiple Testing Problems , 2008, Biometrical journal. Biometrische Zeitschrift.

[10]  Julio Michael Stern,et al.  Evidence and Credibility: Full Bayesian Significance Test for Precise Hypotheses , 1999, Entropy.

[11]  Eric Schechter,et al.  Handbook of Analysis and Its Foundations , 1996 .

[12]  Xinping Cui,et al.  General solutions to consistency problems in multiple hypothesis testing , 2010, Biometrical journal. Biometrische Zeitschrift.

[13]  Richard A. Johnson,et al.  Applied Multivariate Statistical Analysis , 1983 .

[14]  K. Gabriel,et al.  SIMULTANEOUS TEST PROCEDURES-SOME THEORY OF MULTIPLE COMPARISONS' , 1969 .

[15]  Brian D. Ripley,et al.  Pattern Recognition and Neural Networks , 1996 .

[16]  Optimal Testing of Multiple Hypotheses with Common Effect Direction , 2008 .

[17]  G. Hommel.  Multiple test procedures for arbitrary dependence structures , 1986 .

[18]  E. Jaynes,et al.  Confidence Intervals vs Bayesian Intervals , 1976 .

[19]  Alexandre G. Patriota,et al.  A classical measure of evidence for general null hypotheses , 2012, Fuzzy Sets Syst..

[20]  D. Ball,et al.  Gender-specific contribution of the GABAA subunit genes on 5q33 in methamphetamine use disorder , 2003, The Pharmacogenomics Journal.

[21]  Frank Bretz,et al.  Aesthetics and Power Considerations in Multiple Testing – A Contradiction? , 2008, Biometrical journal. Biometrische Zeitschrift.

[22]  M. Schervish,et al.  Bayes Factors: What They are and What They are Not , 1999 .

[23]  Alessio Farcomeni,et al.  A review of modern multiple hypothesis testing, with particular attention to the false discovery proportion , 2008, Statistical methods in medical research.

[24]  H. Jeffreys,et al.  Theory of probability , 1896 .

[25]  M. Degroot.  Optimal Statistical Decisions , 1970 .

[26]  Y. Benjamini,et al.  Controlling the false discovery rate: a practical and powerful approach to multiple testing , 1995 .

[27]  K. Gabriel,et al.  On closed testing procedures with special reference to ordered analysis of variance , 1976 .

[28]  J. Shaffer.  Multiple Hypothesis Testing , 1995 .

[29]  G. Hommel,et al.  Powerful short‐cuts for multiple testing procedures with special reference to gatekeeping strategies , 2007, Statistics in medicine.

[30]  Luís Gustavo Esteves,et al.  On the bayesianity of pereira-stern tests , 2001 .

[31]  Jason C. Hsu,et al.  On Confidence Sets in Multiple Comparisons , 1988 .

[32]  D. Bickel.  The Strength of Statistical Evidence for Composite Hypotheses with an Application to Multiple Comparisons , 2008 .

[33]  E. L. Lehmann,et al.  A Theory of Some Multiple Decision Problems. II , 1957 .

[34]  I. Levi.  Gambling with Truth: An Essay on Induction and the Aims of Science , 1967 .

[35]  H. Finner,et al.  Controlling the familywise error rate with plug‐in estimator for the proportion of true null hypotheses , 2009 .

[36]  William Mendenhall,et al.  Introduction to Probability and Statistics , 1961, The Mathematical Gazette.

[37]  Azeem M. Shaikh,et al.  Consonance and the closure method in multiple testing , 2009 .

[38]  R. A. Waller,et al.  A Bayes Rule for the Symmetric Multiple Comparisons Problem , 1969 .

[39]  Christian P. Robert,et al.  The Bayesian choice : from decision-theoretic foundations to computational implementation , 2007 .

[40]  M. Schervish.  Theory of Statistics , 1995 .

[41]  K. Strassburger,et al.  The partitioning principle: a powerful tool in multiple decision theory , 2002 .

[42]  V. Johnson.  UNIFORMLY MOST POWERFUL BAYESIAN TESTS. , 2013, Annals of statistics.

[43]  M. Schervish.  P Values: What They are and What They are Not , 1996 .

[44]  Henry E. Kyburg,et al.  Probability and the logic of rational belief , 1970 .

[45]  E. Sonnemann,et al.  Vollständigkeitssätze für Multiple Testprobleme , 1988 .