2002
DOI: 10.1080/13504850110050683
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A jackknife maximum likelihood estimator for the probit model

Abstract: The maximum likelihood estimator for the Probit model can be substantially biased in small samples.This paper proposes a bias-corrected jackknife maximum likelihood estimator (JMLE) for the Probit model which corrects bias up to O(1/n-squared) unlike the ordinary MLE which corrects bias up to O(1/n). An application of the JMLE to Spector and Mazzeo (1980) data for analysing the effectiveness of a new method of teaching economics is also presented.

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Cited by 7 publications
(9 citation statements)
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“…There are certainly other methods available for adjusting the OOR estimator. For example, Sapra (2002) demonstrated how the jackknife procedure (Efron, 1982) can be applied to estimate regression coefficients for the Probit model; the same general approach could be used to derive a bias-corrected OOR estimate. Future work might identify a bias estimator with better properties than our proposed estimator.…”
Section: Discussionmentioning
confidence: 99%
“…There are certainly other methods available for adjusting the OOR estimator. For example, Sapra (2002) demonstrated how the jackknife procedure (Efron, 1982) can be applied to estimate regression coefficients for the Probit model; the same general approach could be used to derive a bias-corrected OOR estimate. Future work might identify a bias estimator with better properties than our proposed estimator.…”
Section: Discussionmentioning
confidence: 99%
“…Jackknife liner regression analysis was used to determine the effects of nutrition and PA on eighth grade reading, math, and science achievement scores. The jackknife, a sample reuse statistical methodology, is used to enlarge the sample data and re‐estimate the model in order to generate parameter estimates that approximate the true population parameter . Thus, the goal of the jackknife is to estimate a parameter of a population of interest from a random sample of data from this population.…”
Section: Methodsmentioning
confidence: 99%
“…For example, Jackknife resampling uses the provided full data set, or a given data generating mechanism (eg, coin toss) that is a model of the process of interest to produce a new sample of simulated data, and examines the results of those samples . Also, the jackknife resampling method reduces sample bias and is an interval estimator . Given that data from the ECLSK‐8 data set was used from the final wave of data collection for this study, the use of jackknife as a sample reuse methodology for the eighth grade sample allows for an approximation of the true population parameters.…”
Section: Methodsmentioning
confidence: 99%
“…The standard error of the corrected estimate can be calculated based on the following equation (Sapra, 2002):…”
Section: Estimating Standard Error Of the Corrected Oormentioning
confidence: 99%