Error-Rate Estimation in Discriminant Analysis

REFERENCES

• Anderson , T. W. 1951 . “Classification by Multivariate Analysis,” . Psychometrika , 16 : 31 – 50 .
   Google Scholar
• Chambers , J. 1977 . Computational Methods for Data Analysis New York : John Wiley. .
   Google Scholar
• Cochran , W. G. 1968 . Commentary on “Estimation of Error Rates in Discriminant Analysis,” by P. A. Lachenbruch and M. R. Mickey . Technometrics , 10 : 204 – 205 .
   Web of Science ®Google Scholar
• Dunn , O. J. 1971 . “Some Expected Values for Probabilities of Correct Classification in Discriminant Analysis,” . Technometrics , 13 : 345 – 353 .
   Web of Science ®Google Scholar
• Dunn , O. J. and Varady , P. J. 1966 . “Probabilities of Correct Classification in Discriminant Analysis,” . Biometrics , 22 : 908 – 924 .
   Web of Science ®Google Scholar
• Efron , B. 1983 . “Estimating the Error Rate of a Prediction Rule: Improvement on Cross-Validation,” . Journal of the American Statistical Association , 78 : 316 – 331 .
   Web of Science ®Google Scholar
• Hills , M. 1966 . “Allocation Rules and Their Error Rates,” . Journal of the Royal Statistical Society , 28 : 1 – 31 . Ser. B
   Google Scholar
• Lachenbruch , P. A. 1967 . “An Almost Unbiased Method of Obtaining Confidence Intervals for the Probability of Misclassification in Discriminant Analysis,” . Biometrics , 23 : 639 – 645 .
   PubMed Web of Science ®Google Scholar
• Lachenbruch , P. A. 1968 . “On Expected Probabilities of Misclassification in Discriminant Analysis, Necessary Sample Size, and a Relation With the Multiple Correlation Coefficient,” . Biometrics , 24 : 823 – 834 .
   Web of Science ®Google Scholar
• Lachenbruch , P. A. and Mickey , M. R. 1968 . “Estimation of Error Rates in Discriminant Analysis,” . Technometrics , 10 : 1 – 11 .
   Web of Science ®Google Scholar
• Mahalanobis , P. C. 1936 . “On the Generalized Distance in Statistics,” . Proceedings of the National Institute of India , 2 : 49 – 55 .
   Google Scholar
• Marsaglia , G. , Ananthanarayanan , K. and Paul , N. 1973 . Random Number Generator Package—“Super-Duper” (version IV) McGill University, School of Computer Science. .
   Google Scholar
• McLachlan , G. J. 1974a . “An Asymptotic Unbiased Technique for Estimating the Error Rates in Discriminant Analysis,” . Biometrics , 30 : 239 – 249 .
   Web of Science ®Google Scholar
• McLachlan , G. J. 1974b . “Estimation of the Errors of Misclassification on the Criterion of Asymptotic Mean Square Error,” . Technometrics , 16 : 255 – 260 .
   Web of Science ®Google Scholar
• McLachlan , G. J. 1975 . “Confidence Intervals for the Conditional Probability of Misallocation in Discriminant Analysis,” . Biometrics , 31 : 161 – 167 .
   PubMed Web of Science ®Google Scholar
• Morrison , D. F. 1976 . Multivariate Statistical Methods, , 2nd ed. New York : McGraw-Hill. .
   Google Scholar
• Okamoto , M. 1963 . “An Asymptotic Expansion for the Distribution of the Linear Discriminant Function,” . Annals of Mathematical Statistics , 34 : 1286 – 1301 .
   Google Scholar
• Okamoto , M. 1968 . Correction to “An Asymptotic Expansion for the Distribution of the Linear Discriminant Function,” . Annals of Mathematical Statistics , 39 : 1358 – 1359 .
   Google Scholar
• Sitgreaves , R. 1952 . “On the Distribution of Two Random Matrices Used in Classification Procedures,” . Annals of Mathematical Statistics , 23 : 263 – 270 .
   Google Scholar
• Snapinn , S. M. and Knoke , J. D. 1984 . “Classification Error Rate Estimators Evaluated by Unconditional Mean Squared Error,” . Technometrics , 26 : 371 – 378 .
   Web of Science ®Google Scholar
• Snapinn , S. M. and Knoke , J. D. 1985 . “An Evaluation of Smoothed Classification ErrorRate Estimators,” . Technometrics , 27 : 199 – 206 .
   Web of Science ®Google Scholar
• Sorum , M. J. 1971 . “Estimating the Conditional Probability of Misclassification,” . Technometrics , 13 : 333 – 343 .
   Web of Science ®Google Scholar
• Toussaint , G. T. 1974 . “Bibliography on Estimation of Classification,” . IEEE Transactions on Information Theory , 20 : 472 – 479 .
   Web of Science ®Google Scholar
• Wald , A. 1944 . “On a Statistical Problem in the Classification of an Individual Into One of Two Groups,” . Annals of Mathematical Statistics , 15 : 145 – 162 .
   Google Scholar