题名

Tests for Normal Parameters Based on a Ranked Set Sample

并列篇名

利用排序集合樣本對常態母體參數作檢定

DOI

10.29724/TMR.200207.0001

作者

沈維雄(Wei-Hsiung Shen)；潘益之(Yih-Jy Pan)

关键词

順序統計量 ； 檢定力 ； 排序集合抽樣 ； 簡單隨機抽樣 ； Order Statistics ； Ranked Set Sample ； Simple Random Sample ； AMS (1991) subject classifications ； Primary 62F03

期刊名称

東海管理評論

卷期/出版年月

4卷1期（2002 / 07 / 01）

页次

1 - 16

内容语文

英文
中文摘要

某些情況下，研究之實驗或抽樣樣本之排序（未經過儀器測量）要比測度容易得到，基於這個原因，McIntyre (1952)提出了“排序集合抽樣”(ranked set sample)的概念。利用此方法去估計母體平均數所得到的不偏估計式，和我們通常所用的“簡單隨機抽樣”的不偏估計式來作比較，其變異數要來得小。 在本研究中，我們將此概念推廣至對常態母體的參數作檢定。利用Sinha等人(l996)及Yu等人(1996)所建議的一些平均數與變異數的估計式去構造一些新的檢定式，並和常用的簡單隨機抽樣對平均數與變異數作檢定的t檢定和卡方檢定作比較。經過模擬的結果，在“量測”樣本數相同的情況下，我們所建議的檢定式的檢定力皆要比t檢定和卡方檢定的檢定力來得大。
英文摘要

In this paper we explore the concept of ranked set sample introduced by McIntyre (1952) for the problem of tests for a normal mean and a normal variance, and show that many improved tests can be constructed, all of which are much better than the traditional t test and chi-square test, respectively.
主题分类 社會科學 > 管理學
参考文献
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