The Shrunken Generalized Distance Estimator of the Actual Error Rate in Discriminant Analysis

1988 ◽  
Vol 13 (1) ◽  
pp. 63 ◽  
Author(s):  
Neil J. Dorans
Keyword(s):  
Discriminant Analysis ◽  
Error Rate ◽  
Actual Error ◽  
Distance Estimator ◽  
Generalized Distance

The Shrunken Generalized Distance Estimator of the Actual Error Rate in Discriminant Analysis

1988 ◽  
Vol 13 (1) ◽  
pp. 63-74
Author(s):  
Neil J. Dorans
Keyword(s):  
Discriminant Analysis ◽  
Error Rate ◽  
Actual Error ◽  
Distance Estimator ◽  
Generalized Distance

A new estimator of the actual error rate for the two-group discriminant problem is presented. The new estimator is based on the concept of a shrunken generalized distance. This new estimator is compared favorably to two modified distance estimators and an estimator developed by Okamoto.

scholarly journals A COMPARATIVE STUDY OF THE MULTIPLE LOGISTIC REGRESSION, LINEAR DISCRIMINANT ANALYSIS AND QUADRATIC DISCRIMINANT FOR ESTIMATING THE MISCLASSIFICATION ERROR RATE OF INFANT BIRTH OUTCOME

2020 ◽  
Vol 8 (9) ◽  
pp. 358-367
Author(s):  
O. Akangoziri ◽  
C. N. Okoli
Keyword(s):  
Logistic Regression ◽  
Discriminant Analysis ◽  
Linear Discriminant Analysis ◽  
Error Rate ◽  
Birth Outcome ◽  
Misclassification Error ◽  
Multiple Logistic Regression ◽  
Linear Discriminant ◽  
Misclassification Error Rate ◽  
Infant Birth

This study examined comparison of the Multiple logistic regression, Linear discriminant analysis and Quadratic discriminant in estimating the infant birth outcome and misclassification error rate of birth outcomes with factors of infant mortality in Anambra State, Nigeria. The birth outcomes of interest were the Neonatal death, Still birth and Alive. Secondary source of data were obtained from the records department of General Hospital Onitsha from 2007-2016. The data comprises of Status of infant birth, Mothers parity, Age of mother, Weight of baby, Mothers Education Status, Number of Bookings before gestation and Gestation Age. The data analysis is performed using R-software. The result of the findings from the multiple logistic regression showed that Mothers Education Status (MES) and Booking contributed significantly on the logistic model while factors of Parity, Sex, Age of Mother (AOM), Year, GA and Birth Weight (BW) were found to be insignificant on birth outcomes. Also observed that the misclassification error rate for birth outcome for the said approach is found to be 0.5992 (59.92%). More so, findings of the study equally showed that the prior probabilities of the groups for the linear and quadratic discriminant analysis were 0.228503, 0.40168 and 0.36981 for Alive, Neonatal death and Still birth respectively. Further findings revealed that the Mothers Education Status and Bookings Status have the greatest impact for first and second linear function respectively. In addition, the result of the misclassification error rate for birth outcome using the linear discriminant analysis is 0.5931 (59.31%). The misclassification error rate for birth outcome based on   quadratic discriminant analysis is 0.5956 (59.56%). Based on the findings of this study, linear discriminant approach is the best alternative in estimating misclassification error rate of infant birth outcome followed by quadratic discriminant analysis and the least is multiple logistic regression. The findings clearly confirmed that the linear discriminant analysis is the best with misclassification error rate of 59.31%.

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