臺灣博碩士論文加值系統

一般而言市場調查結合分層隨機抽樣在進行樣本配置時通常只著重於整個母體參數估計的精確度，未將子母體參數估計的精確度列入考量。當我們要顧及每個子母體也達到一定的精確度時，樣本該如何進行配置是本文研究重點。本文旨在探討同時考量每個子母體的參數估計要達到一定的精確度時，該如何進行樣本配置。首先彙整過去文獻上使用的樣本配置方法，包含一般較常使用的比例配置、黎曼配置以及Wesolowski (2015) 提出的dual approach三種樣本配置方式。進而以民國102「年低收入戶及中低收入戶生活狀況調查」為例，說明以上三種配置方式在此案例之應用及配置結果，並就理論面對這三種樣本配置方式進行比較分析。研究結果顯示dual approach配置方式較比例配置及最佳配置的結果來得好，因dual approach的樣本配置方式除了可以達到整個母體參數估計精確度的要求外也同時滿足子母體參數估計的精確度條件。

In general, sample allocation with stratified simple random sampling in market survey only focuses on the precision of estimating whole population parameters, but not takes the precision of estimating subpopulations’ parameters into account. How to allocate the samples when we also claim the precision of the subpopulations is the main purpose of this article. This study intends to summarize the sample allocation methods in previous studies. Three allocation methods, namely, proportional allocation, Neyman allocation, and dual approach are selected for further comparative analysis. This article takes “Low-income households living condition survey” as an example to explain how to allocate the samples by three kinds of allocation methods mentioned above and compares their estimation precision based on previous studies. Study results show that dual approach would be better than the others because dual approach method can not only meet the precision requirement of estimating the whole population parameters but also reach the precision requirement of estimating subpopulations parameter.

目錄
第 1 章 緒論 1
1.1 研究動機與目的 1
1.2 研究目的與內容 2
第 2 章 文獻探討 3
第 3 章 研究方法 7
3.1 研究流程 7
3.2 比例配置 8
3.3 最佳配置 8
3.4 黎曼配置 9
3.5 Longford 9
3.6 Choudry, Roa and Hidirolouy 10
3.7 Dual approach 10
3.7.1 單階段簡單隨機抽樣與單階段分層隨機抽樣 10
3.7.2 兩階段分層隨機抽樣 14
第 4 章 實例分析 19
4.1 資料來源與整理 19
4.2 樣本配置結果 21
4.2.1 比例配置 21
4.2.2 黎曼配置 25
4.2.3 dual approach 29
4.2.4 配置結果之比較分析 33
第 5 章 結論與建議 35
參考文獻 36

表目錄
表 4.1.1 估計原則 20
表 4.2.1 比例配置子母體配置結果 21
表 4.2.2 比例配置鄉鎮市區各層配置結果 22
表 4.2.3 黎曼配置子母體配置結果 25
表 4.2.4 黎曼配置鄉鎮市區各層配置結果 26
表 4.2.5 dual approach子母體配置結果 29
表 4.2.6 dual approach鄉鎮市區各層配置結果 30
表 4.2.7 第一抽樣單位子母體之樣本配置結果 33

圖目錄
圖 3.1.1 研究流程 7
圖 4.1.1 抽樣流程 19

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