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題 名 | 二項分配、波松分配與常態分配關係及其在運動測驗之應用=The Relationship between Binomial, Normal and Poisson Distribution in the Psychomotor Test |
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作 者 | 何榮桂; 姚漢禱; | 書刊名 | 測驗年刊 |
卷 期 | 44:1 1997.01[民86.01] |
頁 次 | 頁95-101 |
分類號 | 528.9017 |
關鍵詞 | 二項分配; 常態分配; 波松分配; 運動技能測驗; Binomial distribution; Normal distribution; Poisson distribution; Psychomotor test; |
語 文 | 中文(Chinese) |
中文摘要 | 本研究旨在探討二項分配、波松分配與常態分配之間的關係,重新分析二項模式 在運動測驗上的實例,採科史適合度檢定,結果顯示:1.試做十次時,當成功機率為71.8% 資料僅適合二項分配,當成功機率為32.5%和成功機率為12.0%時,資料僅適合波松分配。 2.成功機率71.8%時不同試做次數的適合度檢定,試做次數為5、3、15時,資料僅適合二項 分配;試做次數為20、25時,資料僅適合波松分配。3.成功機率32.5%時不同試做次數的適 合度檢定,試做次數為25時,資料僅適合常態分配;試做次數為10時,資料僅適合波松分配 。4.成功機率12.0%時不同試做次數的適合度檢定,不同試做次數皆以適合波松分配為主。 得到結論為:本研究證實運動測驗適合模式的主要因素是試做次數和成功機率。 |
英文摘要 | The purpose of this study was to explore the relationship between Binomial, Normal and Poisson Distribution in the theory. Examples are given to illustrate the re-analysis of Binomial Model in psychomotor test. The approach was utilized for the Kolmogorov-smirnov goodness of fit test. The indication of the results were:1.In ten binomial trials, the success probability 71.8% was only fitted Binomial Distribution(BD), the probability of successes were 32.5% and 12% that only fitted Poisson Distribution (PD). 2.In success probability 71.8%, the trials were 5,10,15, that only fitted BD, the trials were 20 and 25 that only fitted PD. 3.In success probality 32.5%, the trials was 25 that only fitted Normal Distribution (ND), the trials was 10 that only fitted PD. 4. In success probability 12.0%, the difference of trials mainly fitted PD. In conclusion, this study provided the evidence that major factors of model fit are trial size and success probability in the psychomotor test. |
本系統中英文摘要資訊取自各篇刊載內容。