雙因子套層隨機效應模型的準確容許界限

Accurate Tolerance Limits for a Two-Way Nested Random Effects Model

李書豪(Su-Hao Lee)

指導教授 ： 陳順益

淡江大學/理學院/數學學系博士班/博士(2011年)

https://doi.org/10.6846/TKU.2011.01101

摘要

本篇摘要未授權

關鍵字

信賴水準 ； 非中心t分配 ； 變異數比值 ； 均方比值

並列摘要

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並列關鍵字

Confidence level ； Noncentral t distribution ； Variance ratio ； Mean square ratio

參考文獻

Aspin, A. A. (1948), “An Examination and Further Development of a Formula Arising in the Problem of Comparing Two Mean Values,” Biometrika, 35, 89–96.

Bhaumik, D. K., and Kulkarni, P. M. (1996), “A Simple and Exact Method of Constructing Tolerance Intervals for the One-Way ANOVA with Random Effects,”

Chen, S. Y. and Harris, B. (2006), “On Lower Tolerance Limits with Accurate Coverage Probabilities for the Normal Random Effects Model,” Journal of the American Statistical Association, 101, 1039–1049.

Fonseca, M., Mathew, T., and Mexia, J. T., Zmy´slony, R. (2007), “Tolerance Intervals in a Two-Way Nested Model with Mixed or Random Effects,” Statistics, 41(4), 289–300.

Hahn, G. J., and Meeker, W. Q. (1991), Statistical Intervals: A Guide for Practitioners, John Wiley & Sons.