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標題
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A nonparametric procedure for testing partially ranked data |
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學年
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105 |
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學期
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2 |
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出版（發表）日期
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2017/03/20 |
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作品名稱
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A nonparametric procedure for testing partially ranked data |
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作品名稱（其他語言）
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著者
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Jyh-Shyang Wu and Wen-Shuenn Deng |
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單位
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出版者
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著錄名稱、卷期、頁數
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Journal of Nonparametric Statistics, vol.29, no.2, p.213~230 |
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摘要
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In consumer preference studies, it is common to seek a complete ranking of a variety of, say N, alternatives or treatments. Unfortunately, as N increases, it becomes progressively more confusing and undesirable for respondents to rank all N alternatives simultaneously. Moreover, the investigators may only be interested in consumers’ top few choices. Therefore, it is desirable to accommodate the setting where each survey respondent ranks only her/his most preferred k (k < N) alternatives. In this paper, we propose a simple procedure to test the independence of N alternatives and the top-k ranks, such that the value of k can be predetermined before securing a set of partially ranked data or be at the discretion of the investigator in the presence of complete ranking data. The asymptotic distribution of the proposed test under root-n local alternatives is established. We demonstrate our procedure with two real data sets. |
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關鍵字
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Anderson’s test;partially ranked data;chi-square test;imposed rank;contingency table;U-statistics;root-n local alternatives |
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語言
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英文(美國) |
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ISSN
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期刊性質
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國外 |
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收錄於
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SCI; |
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產學合作
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通訊作者
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審稿制度
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是 |
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國別
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美國 |
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公開徵稿
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出版型式
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,電子版,紙本 |