『The Nature of Scientific Evidence: Statistical, Philosophical, and Empirical Considerations』

M. L. Taper and S. R. Lele (eds.)

(2004年,The University of Chicago Press, Chicago, ISBN:0226789578



個人的にはとても期待している論文集.というのも,生態学における仮説検定とモデル選択をケーススタディーとして,統計学のもつ意義についてさまざまな角度から論じているから.とくに,本書では従来的な意味での〈decision making〉としての統計ツールの利用ではなく,データを仮説にとっての〈evidence〉とみなす考え方が中核に置かれているようだ.これは,影響力の大きかった Richard Royall の『Statistical Evidence: A Likelihood Paradigm』(1997年,Chapman & Hall / CRC, ISBN:0412044110)の延長線上に展開された論議とみなすこともできる.編者 Mark L. Taper は生態学者であり,もうひとりの Subhash R. Lele は形態測定学者だ.ターゲット論文に対して,コメントが付けられ,それらに対する著者の返答が載るという,あちらではよくあるタイプの討論型論集.だから,論点の対比が際立ち,理解が深まる.こういう論文集を輪読会などの機会にきっちり勉強すると「もののことわり」が身につくように思う.




【目次】
Foreword (C. R. Rao) xi
Preface xv


Part 1: Scientific process 1

Overview (Marc L. Taper and Subhash R. Lele)


1. A brief tour of statistical concepts (Nicholas Lewin-Koh, Mark L. Taper, and Subhash R. Lele) 3


2. Models of scientific inquiry and statistical practice: Implications for the structure of scientific knowledge (Brian A. Maurer) 17
2.1: Commentary (Prasanta S. Bandyopadhyay and John G. Bennett) 32
2.2: Commentary (Mark L. Wilson) 39
2.3: Rejoinder (Brian A. Maurer) 43


3. Experiments, observations, and other kinds of evidence (Samuel M. Scheiner) 51
3.1: Commentary (Marie-Josee Fortin) 66
3.2: Commentary (Manuel C. Molles, Jr.) 67
3.3: Rejoinder (Samuel M. Scheiner)


Part 2: Logics of evidence 73

Overview (V. P. Godambe)


4. An error-statistical philosophy of evidence (Deborah G. Mayo) 79
4.1: Commentary (Earl D. McCoy) 97
4.2: Commentary (George Casella) 99
4.3: Rejoinder (Deborah G. Mayo) 101


5. The likelihood paradigm for statistical evidence (Richard Royall) 119
5.1: Commentary (D. R. Cox) 138
5.2: Commentary (Martin Curd) 140
5.3: Rejoinder (Richard Royall) 145


6. Why likelihood? (Malcolm Forster and Elliott Sober) 153
6.1: Commentary (Michael Kruse) 165
6.2: Commentary (Robert J. Boik) 167
6.3: Rejoinder (Malcolm Forster and Elliott Sober) 181


7. Evidence functions and the optimality of the law of likelihood (Subhash R. Lele) 191
7.1: Commentary (Christopher C. Heyde) 203
7.2: Commentary (Paul I. Nelson) 205
7.3: Rejoinder (Subhash R. Lele) 207


Part 3: Realities of nature 217

Overview (Mark S. Boyce)


8. Whole-ecosystem experiments : Replication and arguing from error (Jean A. Miller and Thomas M. Frost) 221
8.1: Commentary (William A. Link) 248
8.2: Commentary (Charles E. McCulloch) 256
8.3: Rejoinder (Jean A. Miller) 258


9. Dynamical models as paths to evidence in ecology (Mark L. Taper and Subhash R. Lele) 275
9.1: Commentary (Steven Hecht Orzack) 286
9.2: Commentary (Philip M. Dixon) 290
9.3: Rejoinder (Mark L. Taper and Subhash R. Lele) 292


10. Constraints on negative relationships : Mathematical causes and ecological consequences (James H. Brown, edward J. Bedrick, S. K. Morgan Ernest, Jean-Luc E. Carlton, and Jeffrey F. Kelly) 298
10.1: Commentary (Robert D. Holt and Norman A. Slade) 315
10.2: Commentary (Steve Cherry)
10.3: Rejoinder (James H. Brown, edward J. Bedrick, S. K. Morgan Ernest, Jean-Luc E. Carlton, and Jeffrey F. Kelly)


Part 4: Science, opinion, and evidence 325

Overview (Mark L. Taper and Subhash R. Lele)


11. Statistics and the scientific method in ecology (Brian Dennis) 327
11.1: Commentary (Charles E. McCulloch) 360
11.2: Commentary (Aaron E. Ellison) 362
11.3: Rejoinder (Brian Dennis) 367


12. Taking the prior seriously : Bayesian analysis without subjective probability (Daniel Goodman) 379
12.1: Commentary (Nozer D. Singpurwalla) 400
12.2: Rejoinder (Daniel Goodman)


13. Elicit data, not prior : On using expert opinion in ecological studies (Subhash R. Lele) 410
13.1: Commentary (R. Cary Tuckfield) 423
13.2: Commentary (Lance A. Waller) 428
13.3: Rejoinder (Subhash R. Lele) 431


Part 5: Models, realities, and evidence 437

Overview (Mark L. Taper and Subhash R. Lele)


14. Statistical distances as loss functions in assessing model adequacy (Bruce G. Lindsay) 439
14.1: Commentary (D. R. Cox) 478
14.2: Commentary (Stephen P. Ellner) 480
14.3: Rejoinder (Bruce G. Lindsay) 483


15. Model identification from many candidates (Mark L. Taper) 488
15.1: Commentary (Isabella Verdinelli and Larry Wasserman) 501
15.2: Commentary (Hamparsum Bozdogan) 508
15.3: Rejoinder (Mark L. Taper) 519


Part 6: Conclusion 525

16. The nature of scientific evidence : a forward-looking synthesis (Mark L. Taper and Subhash R. Lele) 527

List of contributors 553
Index 557