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標本比率の分散に関する一考察
https://rku.repo.nii.ac.jp/records/5046
https://rku.repo.nii.ac.jp/records/504621ea871e-3349-4737-8226-4a6face86c91
名前 / ファイル | ライセンス | アクション |
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KJ00005533864.pdf (444.9 kB)
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 1981-03-01 | |||||
タイトル | ||||||
タイトル | 標本比率の分散に関する一考察 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On the Variance of the Ratio Obtained by Sampling | |||||
言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ページ属性 | ||||||
内容記述タイプ | Other | |||||
内容記述 | P(論文) | |||||
記事種別(日) | ||||||
論文 | ||||||
記事種別(英) | ||||||
en | ||||||
Article | ||||||
著者名(日) |
鈴木, 啓祐
× 鈴木, 啓祐 |
|||||
著者名よみ |
スズキ, ケイスケ
× スズキ, ケイスケ |
|||||
著者名(英) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 10822 | |||||
姓名 | SUZUKI, KEISUKE | |||||
言語 | en | |||||
著者所属(日) | ||||||
流通経済大学 | ||||||
著者所属(英) | ||||||
en | ||||||
RYUTSU KEIZAI UNIVERSITY | ||||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | It is supposed that a population contains Γ red balls and Δ white balls and it is devided into N parts. And it is also supposed that the ith part of population contains τ_i balls, and γ_j red balls. If the n parts in this population are chosen, the sample ratio p which is defined by [numerical formula] is the unbiased estimator of the population ratio r which is written by [numerical formula] where t_j is the number of balls contained in the jth part of sample, c_j is the number of red balls contained in jth part of the sample, and T is the total number of balls contained in the population. When [numerical formula], the variance of p, V(p) is approximately expressed by V(p)=ωV(γ), where [numerical formula] And, when [numerical formula], V(p) is approximately expressed by V(p)=ωV(ε) which is exactly equal to the result found in Cochran's book, where [numerical formula] It is very interesting that if we represent γ_i in the graph which has coordinate axes, τ-axis and γ-axis as shown in Figure 2, the variances V(γ) and V(ε) can be expressed clearly in the graph. Both the variances V(γ) and V(ε) are regarded as the indicator of the dispersion of distribution of γ in the direction of γ-axis. When [numerical formula], the points which show the γ_i(i=1, 2, …, N) distribute along the regression line: γ=πτ and in this case, the variance V(γ) is the indicator of the dispersion of the distribution of γ in the direction of γ-axis. When [numerical formula], the points which show the τ_i's (i=1, 2, …, N) distribute along the line [numerical formula], since τ_i's are always τ^^-, and in this case, the variance V(ε) is the indicator of the dispersion of distribution of γ in the direction of γ-axis, and the variance V(ε) becomes exactly equal to the variance V(γ). | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00251278 | |||||
書誌情報 |
流通經濟大學論集 巻 15, 号 4, p. 28-35, 発行日 1981-03 |