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Improved Estimation in Logistic Regression through Quadratic Bootstrap Approach: An Application in Agricultural Ergonomics

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Title Improved Estimation in Logistic Regression through Quadratic Bootstrap Approach: An Application in Agricultural Ergonomics
Quadratic Bootstrap in Logistic Regression
 
Creator Arpan Bhowmik
Ramasubramanian V.
Anil Rai
Adarsh Kumar
Madan Gopal Kundu
 
Subject Bias correction
Classificatory power
Confidence interval
Ergonomics
Quadratic bootstrap
Simulation
 
Description Not Available
In this paper, quadratic bootstrap estimation procedure for improved estimation under logistic regression set up with one regressor based on Claeskens et al. (2003) for classification of data pertaining to the area of agricultural ergonomics have been discussed. Here, presence or absence of discomfort for the farm labourers in operating farm machineries has been considered as the dependent variable. A comparison in terms of confidence interval and classificatory ability of the logistic regression model between the usual maximum likelihood estimator and the quadratic bootstrap based estimator have been made based on real experimental situation in the field of agricultural ergonomics. The performance of quadratic bootstrap based estimator has been found to be better both in terms of length of the confidence interval of the parameter and classificatory ability of the model. Further, a bias corrected estimator based on quadratic bootstrap estimator following Claeskens et al. (2003) has also been obtained. A simulation study has been carried out which illustrates the improvement of bias corrected estimation over the usual maximum likelihood approach in terms of mean square error of the estimators and efficiency factor.
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Date 2017-05-16T11:17:07Z
2017-05-16T11:17:07Z
2016-12-31
 
Type Research Paper
 
Identifier Bhowmik, A., Ramasubramanian, V., Rai, A., Kumar, A. and Kundu, M.G. (2016). Improved Estimation in Logistic Regression through Quadratic Bootstrap Approach: An Application in Agricultural Ergonomics. Journal of the Indian Society of Agricultural Statistics, 70(3), 227-235
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http://krishi.icar.gov.in/jspui/handle/123456789/4044
 
Language English
 
Relation Not Available;
 
Publisher Indian Society of Agricultural Statistics