111年第1學期-1583 抽樣調查 課程資訊

評分方式

評分項目	配分比例	說明
midterm	50
final	50

教育目標

The course aims to equip the students with sampling techniques, which include the method of sampling, the derivation of expected values, variance, and the estimated variance of the estimators. It is expected that the students have sufficient knowledge to design survey and analyze survey data. This course will cover the following topics: 1. simple random sampling (with/without replacement) 2. stratified random sampling (the optimum allocation) 3. the poststratified estimator 4. the ratio estimator 5. cluster sampling (one-stage and two-stage, systematic sampling) 6. sampling with unequal probability (probability proportional to size (PPS) with/without replacement) 7. Horvitz–Thompson estimator.

課程概述

Sampling is widely used in the modern world. The statistical offices of many nations have sample surveys conducted on topics of interest such as unemployment, size of labor force etc.. Furthermore, sample surveys are often conducted by company on topics of the behavior of consumers. Sampling design determines the precision of the estimates. Thus, the way a sample is drawn is as important as the mathematical form of the estimator. Sample design consists of both a sample selection plan and an estimation procedure. In this course, we shall first define population, sampling units (primary, secondary, etc.); then introduce many sampling schemes, such as simple random sampling (with or without replacement), stratified sampling (optimum allocation of sampling units to various strata), multistage sampling (e.g. two-stage stratified cluster sampling), systematic sampling, double sampling, and sampling with unequal probabilities (with or without replacement). We shall also introduce ratio estimator, regression estimator, and poststratification estimators. Finally, we shall derive the variances of the proposed estimators and the estimators of their variances. For estimating the variance of the estimators, the topics of Jackknife method and bootstrap method are also included in this course.

基本資料

必修課，學分數：3-0
上課時間：一/1,2[M116] 五/1[M117]
修課班級：統計系2B
修課年級：年級以上
選課備註：人工加選,曾修習統計學下期

參考書目

1. Sampling Methods for Applied Research by Peter Tryfors, John Wiley and Sons, Inc.