Let represent the response on a nominal random variable of Bernoulli distribution, with , where is a parameter with unknown value. Problems of estimating used smallest square methods in linier regression model can overcome with used maximum likelihood method in logistic regression..
Suppose is
maksimum likelihood estimstors of . In case can be obtained from first condition, ln(Ln(p)) to be maximum at point then be obtained and
that is unbiased estimator because
To be test hipothesis that , with a large sample size used fact that
Keywords : Estimator, unbiased estimator, test statistic
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