Power Robustification of Approximately Linear Tests

References

• Akkerboom , J. C. 1990 . Testing Problems With Linear or Angular Inequality Constraints, Lecture Notes in Statistics 62 , Berlin : Springer .
   Google Scholar
• Behnen , K. and Neuhaus , G. 1989 . Rank Tests with Estimated Scores and Their Application , Stuttgart : Teubner .
   Google Scholar
• Birnbaum , A. 1955 . “Characterizations of Complete Classes of Tests of Some Multiparametric Hypotheses, With Applications to Likelihood Ratio Tests,” . Annals of Mathematical Statistics , 26 : 21 – 36 .
   Google Scholar
• Birnbaum , A. and Laska , E. 1967a . “Optimal Robustness: A General Method, With Applications to Linear Estimators of Location,” . Journal of the American Statistical Association , 62 : 1230 – 1240 .
   Web of Science ®Google Scholar
• Birnbaum , A. and Laska , E. 1967b . “Efficiency Robust Two-Sample Rank Tests,” . Journal of the American Statistical Association , 62 : 1241 – 1257 .
   Google Scholar
• Conover , W. J. and Salsburg , D. S. 1988 . “Locally Most Powerful Tests for Detecting Treatment Effects When Only a Subset of Patients can be Expected to ‘Respond’ to Treatment,” . Biometrics , 44 : 189 – 196 .
   PubMed Web of Science ®Google Scholar
• Durbin , J. and Knott , M. 1972 . “Components of Cramer-von Mises Statistics 1,” . Journal of the Royal Statistical Society , 34 : 290 – 307 . Ser. B
   Google Scholar
• Ehm , W. , Mammen , E. and Müller , D. W. 1993 . “Power Robustification of Approximately Linear Tests,” . In Beiträge zur Statistik , Vol. 9 , Institut fur Angewandte Mathematik, Universität Heidelberg . technical report
   Google Scholar
• Ehm , W. , Mammen , E. , Müller , D. W. and Sauermann , W. 1984 . “Asymptotic Power Comparison of One-Sided Tests,” , Universität Heidelberg . preprint 298, Sonderforschungsbereich 123 (Stochastische Mathematische Modelle)
   Google Scholar
• Gastwirth , J. L. 1985 . “The Use of Maximin Efficiency Robust Tests in Combining Contingency Tables and Survival Analysis,” . Journal of the American Statistical Association , 80 : 380 – 384 .
   Web of Science ®Google Scholar
• Gregory , G. G. 1980 . “On Efficiency and Optimality of Quadratic Tests,” . The Annals of Statistics , 8 : 116 – 131 .
   Web of Science ®Google Scholar
• Janssen , A. 1992 . “Principal Component Decomposition of Nonparametric Tests,” preprint
   Google Scholar
• Le Cam , L. 1985 . “Sur l'approximation de families de mesures par des families gaussiennes,” . Annales de l'Institut Henri Poincaré , 21 : 225 – 287 .
   Google Scholar
• Milbrodt , H. and Strasser , H. 1990 . “On the Asymptotic Power of the Two-Sided Kolmogorov-Smirnov Test,” . Journal of Statistical Planning and Inference , 26 : 1 – 23 .
   Web of Science ®Google Scholar
• Millar , P. W. 1979 . “Asymptotic Minimax Theorems for the Sample Distribution Function,” . Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete , 48 : 233 – 252 .
   Web of Science ®Google Scholar
• Müller , D. W. 1979 . “Asymptotically Multinomial Experiments and the Extension of a Theorem of Wald,” . Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete , 50 : 179 – 204 .
   Google Scholar
• Muirhead , R. J. 1982 . Aspects of Multivariate Statistical Theory , New York : John Wiley .
   Google Scholar
• Neyman , J. 1937 . “‘Smooth’ Test for Goodness of Fit,” . Skandinavisk Aktuarietidskrift , 20 : 149 – 199 .
   Google Scholar
• Neyman , J. 1959 . “Optimal Asymptotic Tests of Composite Hypotheses,” . In Probability and Statistics , Edited by: Grenander , U. 213 – 234 . New York : John Wiley .
   Google Scholar
• Oosterhoff , J. 1976 . Combination of One-Sided Tests , Amsterdam : Mathematisch Centrum . Mathematical Centre Tracts 28
   Google Scholar
• Parr , W. C. and Schucancy , W. R. 1982 . “Minimum Distance Estimation and Components of Goodness-of-Fit Statistics,” . Journal of the Royal Statistical Society , 44 : 178 – 189 . Ser. B
   Google Scholar
• Pincus , R. 1975 . “Testing Linear Hypotheses Under Restricted Alternatives,” . Mathematische Operationsforschung und Statistik , 6 : 733 – 751 .
   Google Scholar
• Rayner , J. C. W. , Best , D. J. and Dodds , K. G. 1985 . “The Construction of the Simplex and Neyman's Smooth Goodness-of-Fit Tests,” . Statistica Neerlandica , 39 : 35 – 50 .
   Google Scholar
• Schaafsma , W. and Smid , L. J. 1966 . “Most Stringent Somewhere Most Powerful Tests Against Alternatives Restricted by a Number of Linear Inequalities,” . Annals of Mathematical Statistics , 37 : 1161 – 1172 .
   Google Scholar
• Schoenfeld , D. 1977 . “Asymptotic Properties of Tests Based on Linear Combinations of the Orthogonal Components of the Cramér-von Mises Statistic,” . The Annals of Statistics , 5 : 1017 – 1026 .
   Web of Science ®Google Scholar
• Tarone , R. E. and Gart , J. F. 1980 . “On the Robustness of Combined Tests for Trends in Proportions,” . Journal of the American Statistical Association , 75 : 110 – 116 .
   Web of Science ®Google Scholar
• Van Zwet , W. and Oosterhoff , J. 1967 . “On the Combination of Independent Test Statistics,” . Annals of Mathematical Statistics , 38 : 659 – 680 .
   Google Scholar