多維度參考區間

Multivariate Reference Regions

陳羽偉

指導教授 ： 陳鄰安

國立交通大學/理學院/統計學研究所/碩士(2011年)

https://doi.org/10.6842/NCTU.2011.00169

摘要

我們介紹了一個非常一般性的多維度參考區間觀念。給定幾個多
維機率分配，我們提供不同型態的母體多維度參考區間。因此傳統統
計推論中的估計與檢定皆可應用於這一未知區間之預測。在設定為多
元常態分配下我們提供了詳細的估計與檢定的方法與模擬分析討
論。

關鍵字

估計 ； 假設檢定 ； 參考區間 ； 多維參考區間

並列摘要

A general concept of population type multivariate reference region is introduced. This provides flexible applications of multivariate referenceregion. Given one population multivariate reference region, its estimation and hypothesis testing are important topics in statistical inference for this unknown region. We present several examples of population multivariate reference regions. Given multivariate normal case techniques and criterions for estimation and hypothesis testing are presented and evaluated.

並列關鍵字

Estimation ； hypothesis testing ； reference interval ； multivariate reference region

參考文獻

Chen, L.-A. and Welsh, A. H. (2002) Distribution-function-based bivariate quantiles. Journal of Multivariate Analysis, 83, 208-231

Horn, P. S. and Pesce, A. J. (2003). Reference intervals: an update. Clinica Chimica Acta, 334, 5-23.

Harris, E. K., Yasaka, T., Horton, M., R. and Shakarji, G. (1982). Comparing multivariate and univariate subject-specific reference region for blood constituents in healthy persons. Clinical Chemistry, 28, 422-426

Huang, J.-Y., Chen, L.-A. and Welsh, A. H. (2010). A note on reference limits. IMS Collections, Nonparametrics and Robustness in Modern Statistical Inference and Time Series Analysis: A Festschrift in Hornor of Professoe Jana Jureckown. 7, 84-89.

Schoen, I. and Brooks, S. (1970) Judgement based on 95% confidence limits. American Journal of Clinical Pathology. 53, 190-193.