This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 71
Type: Contributed
Date/Time: Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
Sponsor: Biometrics Section
Abstract - #306661
Title: Methods of Finding the Initial Values of Parameters in the Maximum Likelihood Estimating Equations for a Logistic Regression Model and Comparison of Their Final Solutions
Author(s): Hiya Banerjee* and Subir Ghosh+
Companies: University of California, Riverside and University of California, Riverside
Address: Statistics-Computing Building,, Riverside, CA, 92521, US
Keywords: Dose-mortality trial ; ED50 ; Estimating equations ; Logistic regression ; Maximum likelihood

We present two methods of finding the initial values of parameters of the maximum likelihood estimating equations (MLEE) for a logistic regression model using two criterion functions. We use the initial values and the corresponding criterion functions to obtain the final solutions of MLEE. Most experiments include more than two doses for determining a lethal dose like ED50. For two doses, we do have an exact analytic expression for the solution of estimating equations. The iterative methods make use of the initial values of the parameters. We have used the search algorithm for performing the optimization to find the final solutions of MLEE. The proposed methods are transparent in the selection of the initial values of parameters. The proposed methods are computer intensive like bootstrap and jackknife methods.The estimates of ED50 from our method are almost same as standard methods.

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