MAT 2379 Lecture Notes - Lecture 1: Biostatistics, Dete, Opata Language
15 Dec 2015
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For example, the sample mean x = 35 is a point estimate of the population mean . In this chapter, we introduce the method of estimation by con dence intervals, for estimating the unknown parameter. This method produces an interval of possible values that includes the unknown parameter with a high probability. Our conclusions will be based on the observed values x1, . , xn of the measure- ment x for a particular sample drawn from the population. , xn can be regarded as the observed values which correspond to some random measure- ments x1, . , xn are independent and have the same distribution as x. A point estimator for the population mean is the theoretical quantity: The sample mean x is the observed value of this estimator for our particular sample, and is called an estimate of . A point estimator for the population variance 2 is the theoretical quantity: n(cid:88) i=1.
