Evaluation of alternative model selection criteria in the analysis of unimodal response curves using CART

References

• AUSTIN , M.P. , CUNNINGHAM , R. B. and FLEMING , P.M. 1984 . New approaches to direct gradient analysis using environmental scalars and statistical curve fitting procedures . Vegetatio , 55 : 11 – 27 .
   Google Scholar
• BANKS , C. , MAXION , R. and OLSZEWSKI , R. Comparing methods for nonparametric regression . 1995 Proceedings of the Statistical Computing Section, American Statistical Association . pp. 136 – 141 .
   Google Scholar
• BELL , J. F. 1996 . Application of classification trees to the habitat preference of upland birds . Journal of Applied Statistics , 23 : 349 – 359 .
   Web of Science ®Google Scholar
• TER BRAAK , C. J. F. and PRENTICE , I. C. 1988 . A theory of gradient analysis . Advances in Ecological Research , 18 : 271 – 317 .
   Web of Science ®Google Scholar
• BREIMAN , L. , FRIEDMAN , J. H. , OLSHEN , R. A. and STONE , C. J. 1984 . Classification and Regression Trees , Belmont , CA : Wadsworth .
   Google Scholar
• CASPEN , D. E. , ed. 1981 . The Use of Multivariate Statistics in Studies of Wildlife Habitat , General Technical Report RM-87 US Forest Service Rocky Mountain Forest and Range Experiment Station .
   Google Scholar
• CHAUDHURI , P. , HUANG , M.-C. , LOH , W.-Y. and YAO , R. 1994 . Piecewise-polynomial regression trees . Statistica Sintea , 4 : 143 – 167 .
   Web of Science ®Google Scholar
• CIAMPI , A. , CHANG , C.-H. , HOGG , S. and MCKINNEY , S. 1987 . “ Recursive partitioning: a versatile method for exploratory data analysis in biostatistics ” . In Biostatistics , Edited by: MACNEIL , I. B. and UMPHREY , G. J. 23 – 50 . Boston , MA : D. Reidel .
   Google Scholar
• CLARK , L. A. and PREGIBON , D. 1992 . “ Tree-based models ” . In Statistical Models in S , Edited by: CHAMBERS , J. M. and HASTIE , T. J. 377 – 419 . Pacific Grove , CA : Wadsworth & Brooks/Cole .
   Google Scholar
• DILLMAN , R. O. and KOZIOL , J. h. 1983 . Statistical approach to immunosuppression classification using lymphocyte surface markers and functional assays . Cancer Research , 43 : 417 – 421 .
   PubMed Web of Science ®Google Scholar
• GILPIN , E. , OLSHEN , R. , HENNING , H. and ROSS , J. JR . 1983 . Risk prediction after myocardial infarction: comparison of three multivariate methodologies . Cardiology , 70 : 73 – 84 .
   PubMed Web of Science ®Google Scholar
• GOLDMAN , L. , WEINBERG , M. , WEISBERG , M. , OLSHEN , R. , COOK , F. , SARGENT , R. K. , LAMAS , G. A. , DENNIS , C. , DECKELBAUM , L. , FINEBERG , H. , STIRATELLI , E. and The Medical Housestaff at Yale-New Haven Hospital and Brigham and Women's Hospital . 1982 . A computer-derived protocol to aid in the diagnosis of emergency room patients with acute chest pain . New England Journal of Medicine , 307 : 588 – 596 .
   PubMed Web of Science ®Google Scholar
• GORDON , L. and OLSHEN , R. A. 1985 . Tree-structured survival analysis . Cancer Treatment Reports , 69 : 1065 – 1068 .
   PubMedGoogle Scholar
• GRUBB , T. G. and KING , R. M. 1991 . Assessing human disturbance of breeding bald eagles with classification tree models . Journal of Wildlife Management , 55 : 500 – 511 .
   Web of Science ®Google Scholar
• HAWKINS , D. M. 1995 . FIRM Formal Inference-based Recursive Modeling, Version 2. O , School of Statistics Technical Report Number 546 St Paul , MN : University of Minnesota .
   Google Scholar
• HAWKINS , D. M. and McKENZIE , D. P. A data-based comparison of some recursive partitioning procedures . 1995 Proceedings of the Statistical Computing Section . pp. 245 – 252 . American Statistical Association .
   Google Scholar
• HUGHES , J.P. , LETTENMAIER , D. P. and GUTTORP , P. 1993 . A stochastic approach for assessing the effect of changes in synoptic circulation patterns on gauge precipitation . Water Resources Research , 29 : 3303 – 3315 .
   Web of Science ®Google Scholar
• JONGMAN , R. H. , TERBRAAK , C. J. F. and VAN TONGEREN , O. F. R. 1987 . Data Analysis in Community and Landscape Ecology , Wageningen : Pudoc .
   Google Scholar
• LAUBER , T. B. 1991 . “ Birds and the Conservation Reserve Program: a Retrospective Study ” . Orono : University of Maine . MS Thesis,
   Google Scholar
• LEBLANC , M. and CROWLEY , J. 1993 . Survival trees by goodness of split . Journal of the American Statistical Association , 88 : 457 – 467 .
   Web of Science ®Google Scholar
• LILIEN , G. L. , KOTLER , P. L. and MOORTHY , K. S. 1992 . Marketing Models , Englewood Cliffs , NJ : Prentice Hall .
   Google Scholar
• LYNN , H. , MOHLER , C. H. , DEGLORIA , S. D. and McCULLOCH , C. E. 1995 . Error assessment in decision-tree models applied to vegetation analysis . Landscape Ecology , 10 : 323 – 335 .
   Web of Science ®Google Scholar
• MANKIN , P. C. 1993 . “ Agricultural Land Use And The Eastern Cottontail In Illinois ” . Urbana , IL : University of Illinois . PhD Dissertation,
   Google Scholar
• MILLER , T. W. Model selection in tree-structured regression . 1994 Proceedings of the Statistical Computing Section . pp. 158 – 163 . American Statistical Association .
   Google Scholar
• RIBIC , C. A. and AINLEY , D.G. 1997 . The relationships of seabird assemblages to physical habitat features in Pacific equatorial waters during spring 1984-1991 . ICES Journal of Marine Science , 54 : 593 – 599 .
   Web of Science ®Google Scholar
• RIPLEY , B. D. 1996 . Pattern Recognition and Neural Networks , Cambridge : Cambridge University Press .
   Google Scholar
• SAUNDERS , J. 1987 . The specification of aggregate market models . European Journal of Marketing , 21 : 1 – 47 .
   Web of Science ®Google Scholar
• SCHMOOR , C. , ULM , K. and SCHUMACHER , M. 1993 . Comparison of the Cox model and the regression tree procedure in analysing a randomized clinical trial . Statistics in Medicine , 12 : 2351 – 2366 .
   PubMed Web of Science ®Google Scholar
• SEGAL , M. R. and TAYER , I. B. 1993 . Trees and tracking . Statistics in Medicine , 12 : 2153 – 2168 .
   PubMed Web of Science ®Google Scholar
• STATISTICAL SCIENCES . 1992 . Statistical Models in S-PLUS , Seattle , WA : Statistical Sciences .
   Google Scholar
• STATISTICAL SCIENCES . 1995 . S-PLUS for Windows Guide to Statistics and Mathematical Analysis, Version 3.3 , Seattle , WA : Statistical Sciences .
   Google Scholar
• STEINBERG , D. and COLLA , P. 1995 . CART: A Supplementary Module for SYSTAT , San Diego , CA : Salford Systems .
   Google Scholar
• STEINBERG , D. and KUTNER , S. Practical aspects of tree-structured data analysis: model building strategies for classification problems . 1993 Proceedings of the Statistical Computing Section . pp. 49 – 52 . American Statistical Association .
   Google Scholar
• SUTHERLAND , D. H. , OLSHEN , R. , COOPER , L. and Woo , S. L.-Y. 1980 . The development of mature gait . Journal of Bone and Joint Surgery , 62A : 336 – 353 .
   Google Scholar
• VENABLES , W. N. and RIPLEY , B. D. 1994 . Modern Applied Statistics with S-Plus , New York : Springer .
   Google Scholar
• VERBYLA , D. L. 1987 . Classification trees: a new discrimination tool . Canadian Journal of Forest Research , 17 : 1150 – 1152 .
   Web of Science ®Google Scholar
• VERNER , J. , MORRISON , M. L. and RALPH , C. J. , eds. 1986 . Wildlife 2000: Modeling Habitat Relationships of Terrestrial Vertebrates , Madison , WI : University of Wisconsin Press .
   Google Scholar
• WALKER , P. A. 1990 . Modelling wildlife distributions using a geographic information system: kangaroos in relation to climate . Journal of Biogeography , 17 : 279 – 289 .
   Web of Science ®Google Scholar