Parameter Estimation in Systematic Sampling
Hans Schneeberger · Biometrical Journal · 1993
Abstract First it is shown that an estimate of the variance of the sample‐mean in systematic sampling from a non‐autocorrelated population with linear trend, which is published in textbooks, isn't a suitable estimate: It is biased and not dependent on the essential parameter, the slope of the linear trend. In section 2 an unbiased estimate of the variance is given. As estimate of the sample‐mean we take the same as usually used in literature. In section 3 a centric estimate of the sample‐mean is introduced, which takes into consideration the slope of the trendline. It is shown that this estimate is unbiased; an unbiased estimate of its variance is given.