Applying Computer Simulation to Analyze the Normal Approximation of Binomial Distribution

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題名:	Applying Computer Simulation to Analyze the Normal Approximation of Binomial Distribution
作者:	Chang, Horng-Jinh;Lee, Ming-Chen
關鍵詞:	binomial distribution;computer simulation;data analyzing;normal distribution
日期:	2017-10-31
上傳時間:	2018-04-12 12:10:40 (UTC+8)
出版者:	Computer Society of R.O.C., Taiwan
摘要:	Many statistical analyses were implicitly based on the normal distribution, and as a consequence, researchers would need to adopt the central limit theorem to perform the subsequent data analysis. When applying the central limit theorem, the sample size should be 30 or above in order to have the sampling distribution of sample means to be approximated to the normal distribution. Chang et al. (2006 and 2008) showed that when applying the central limit theorem, the sample size should vary depending on the probability distribution type. As a result, the present study examined if the sample size suggested by many textbooks for using the central limit theorem is appropriate. This study uses computer simulation on approximation of the binomial distribution to the normal distribution. It is to explore the minimum sample size required for a binomial distribution to approximate the normal distribution and be replaced by the normal distribution.
關聯:	Journal of Computers 28(5), p.116-131
DOI:	10.3966/199115992017102805011
顯示於類別:	[管理科學學系暨研究所] 期刊論文

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