Research School of Population Health, Australian National University, Canberra, Australia.
PLoS One. 2022 Feb 15;17(2):e0262804. doi: 10.1371/journal.pone.0262804. eCollection 2022.
We analyse standard confidence intervals for the mean of a finite population, with a view to sample size determination. We first consider a standard method for sample size determination based on the assumption of knowledge of the population variance parameter. We then consider the more realistic case where the population variance is treated as an unknown, and we derive a new method of sample size determination that accounts for the uncertainty in this parameter. We develop a sample size calculation method based on a preliminary sample of data which allows us to increase the accuracy of our inference by some specified amount with a specified level of confidence. We compare this method to the standard method.
我们分析了有限总体均值的标准置信区间，以期确定样本量。我们首先考虑一种基于已知总体方差参数假设的标准样本量确定方法。然后，我们考虑更现实的情况，即总体方差被视为未知，并推导出一种新的样本量确定方法，该方法考虑了该参数的不确定性。我们开发了一种基于初步数据样本的样本量计算方法，该方法允许我们以指定的置信水平指定的精度提高我们的推断准确性。我们将这种方法与标准方法进行比较。
