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 Title: 2×2分割表に対するX^2検定の第1種の過誤の確率 Other Titles: The type I error probability of the X2 test for 2×2 tables Authors: 藤野, 和建 Authors Affiliation: 長岡技術科学大学計画・経営系 Keywords: \chi\ \^2^ test2 \multiply\ 2 contingency tabletype I error probabilityFisher-Irwin testYates \chi\ \^2^ \_c_ test Issue Date: 1-Oct-1986 Publisher: 長岡技術科学大学 Journal Title: 長岡技術科学大学研究報告 Volume: 8 Start page: 253 End page: 259 Abstract: The \chi\ \^2^ test is the most fundamental statistical tool for analyzing 2 \multiply\ 2 tables. It is well known that the test tends to give type I error probability well above the nominal level when applied to a table with small expected value of the cell frequencies given marginal totals. Several authors claim that use of the test should be restricted to the tables where expected cell frequencies given marginal totals are at least as large as five. In this paper we analyze the type I error probability of the test asymptotically and numerically, and show that the above condition can be replaced by a far weaker one, namely, at least as large as one. language: ja Contents Version: publisher URI: http://hdl.handle.net/10649/376 ISSN: 0388-5631 Appears in Collections: Vol.8(1986）

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