Stepwise variable selection and maximum likelihood estimation of smoothing factors of kernel functions for nonparametric discriminant functions evaluated by different criteria

Computers and Biomedical Research - Tập 18 - Trang 46-61 - 1985
K.P. Pfeiffer1
1Institut of Physiology, Karl-Franzens-Universität Graz, Harrachgasse 21/5, A-8010 Graz, Austria

Tài liệu tham khảo

Wagner, 1978, Problems of medical diagnosis, Methods Inf. Med., 17, 55, 10.1055/s-0038-1636608 Fisher, 1936, The use of multiple measurements in taxonomic problems, Ann. Eugenics, 7, 179, 10.1111/j.1469-1809.1936.tb02137.x Krzanowski, 1977, The performance of Fisher's linear discriminant function under non-optimal conditions, Technometrics, 19, 191, 10.2307/1268629 Ashikaga, 1981, Robustness of Fisher's linear discriminant function under two-component mixed normal models, J. Amer. Stat. Assoc., 76, 676, 10.2307/2287529 Remme, 1980, A simulative comparisoin of linear, quadratic and kernel discrimination, J. Stat. Comput. Simul., 11, 87, 10.1080/00949658008810396 Schmitz, 1981, Comparison of six discriminant analysis methods for mixtures of continuous and discrete variables Victor, 1980, Medical diagnostics with nonparametric allocation rules, Metamedicine, 1, 85, 10.1007/BF00883521 Hermans, 1982 Hand, 1981 Aitchinson, 1976, Multivariate binary discrimination by the kernel method, Biometrika, 63, 413, 10.1093/biomet/63.3.413 Hand, 1983 Wegman, 1972, Nonparametric probability density estimation I: A summary of available methods, Technometrics, 14, 533, 10.2307/1267282 Habbema, 1978, Variable kernel density estimation in discriminant analysis, 178 Hand, 1981, Branch and bound in statistical data analysis, The Statistician, 30, 1, 10.2307/2987699 Habbema, 1974, A stepwise discriminant analysis program using density estimation, 101 Lachenbruch, 1975 Efron, 1982 Kittler, 1975, Mathematical methods of feature selection in pattern recognition, Int. J. Man-Mach. Stud., 7, 609, 10.1016/S0020-7373(75)80023-X Draper, 1981 Pfeiffer, 1981, Parameter selection criteria and error of prediction in multiple regression analysis of arrhythmic pressure pulses, EDV Med. u. Biologie, 12, 15 Jain, 1978, On the optimal number of features in the classification of multivariate Gaussian data, Pattern Recognition, 10, 365, 10.1016/0031-3203(78)90008-0 Kittler, 1978, Feature set search algorithms Goldstein, 1975, Selection of variables for the two-group multinomial classification problem, J. Amer. Stat. Assoc., 70, 776, 10.2307/2285436 Murray, 1977, A cautionary note on selection of variables in discriminant analysis, Appl. Stat., 26, 246, 10.2307/2346964 McKay, 1977, Simultaneous procedures for variable selection in multiple discriminant analysis, Biometrika, 64, 283, 10.1093/biomet/64.2.283 Fukunaga, 1980, A class of feature extraction criteria and its relation to the Bayes risk estimate, IEEE Trans. Inf. Theory, IT-26, 59, 10.1109/TIT.1980.1056140 Hilden, 1978, The measurement of performance in probabilistic diagnosis. II, Methods Inf. Med., 17, 227, 10.1055/s-0038-1636442 Hilden, 1978, The measurement of performance in probabilistic diagnosis. III, Methods Inf. Med., 17, 238, 10.1055/s-0038-1636443 Efron, 1983, Estimating the error rate of a prediction rule: Improvement on cross-validation, J. Amer. Stat. Assoc., 78, 316, 10.2307/2288636 Lachenbruch, 1968, Estimation of error rates in discriminant analysis, Technometrics, 10, 1, 10.2307/1266219 Spjotvoll, 1977, Alternatives in plotting Cp in multiple regression, Biometrika, 64, 1 Habbema, 1977, Selection of variables in discriminant analysis by F-statistic and error rate, Technometrics, 19, 487, 10.2307/1267890 Rencher, 1980, Bias in Wilks' in stepwise discriminant analysis, Technometrics, 22, 349, 10.2307/1268319 Büning, 1978 Kostner, G. M., Marth, E., Pfeiffer, K. P., and Wege, H. The evaluation of risk factors for cerebrovascular disorders (stroke) by stepwise discriminant analysis: A retrospective study. Submitted for publication.