Where y i is the observed value of survival in the ith of r intervals and y i = the fraction of subjects in the ith interval that survived). Since we are aggregating the sample elements into intervals, we use the modified version of the formula, namely Where y i is the observed value for survival in the ith interval (i.e. The log-likelihood statistic as defined in Definition 5 of Basic Concepts of Logistic Regression is given by We start with Example 1 from Basic Concepts of Logistic Regression.Įxample 1 (Example 1 from Basic Concepts of Logistic Regression continued): From Definition 1 of Basic Concepts of Logistic Regression, the predicted values p i for the probability of survival for each interval i is given by the following formula where x i represents the number of rems for interval i. We now show how to find the coefficients for the logistic regression model using Excel’s Solver capability (see also Goal Seeking and Solver).
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