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5.1.5.1   Simple random and systematic estimators Previous topic Parent topic Child topic Next topic

The simplest approach to estimating the components necessary for construction of a confidence interval is to use the familiar SRS estimators of the mean, image21.svg, and the variance of the estimate of the mean,image22.svg,
Equation 5
image23.svg
and
Equation 6
image24.svg
where i indexes the n sample observations and yi is a reference observation. The primary advantages of the SRS estimators are that they are intuitive, simple, and unbiased when used with an SRS design; the disadvantage is that variances are frequently large, particularly for small sample sizes and highly variable populations.