期刊文献+

Panel数据模型中回归系数的广义p值检验 被引量:3

Generalized p Value Test for Regression Coeffcients in Panel Data Model
下载PDF
导出
摘要 利用广义p值和广义置信区域的概念对含有三个随机效应的Panel数据模型中回归系数的假设检验问题建立了精确检验,构造了回归系数的几个广义置信区域;讨论了本文所构造的检验和置信区域在尺度变换下的不变性;对这几种检验的功效和置信区域的覆盖率给出了数值模拟结果。 Some new exact tests and confidence regions of regression coeffcients in the Panel data model with three random effects are established by using the concepts of generalized p value and generalized confidence interval. Invariance of these exact tests and confidence regions under the scale transformation are also discussed in the paper. The powers of these tests and coverage probabilities of these confidence regions are obtained through numerical simulations.
出处 《工程数学学报》 CSCD 北大核心 2009年第5期836-844,共9页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10671129) 教育部高校博士点专项基金(20060270002)
关键词 Panel数据模型 随机效应 广义P值 广义置信区域 回归系数 Panel data model random effect generalized p value generalized confidence region regression coeffcient
  • 相关文献

参考文献16

  • 1Rao J N K, Sutradhar B C, Yue K. Generalized least squares F-test in regression analysis with two-stage cluster samples[J]. Journal of the American Statistical Association, 1993, 88:1388-1391.
  • 2Wu C F, Holt D, Halmes D J. The effect of two-stage sampling on F statistics[J]. Journal of the American Statistical Association, 1988, 83:150-159.
  • 3Wang S G, Liski E P. Small sample properties of the two-way error component regression[J]. ACTA Mathematica Application Sinica, 1999, 3:287-296.
  • 4Wang S G, Ma W Q. On exact tests of linear hypothesis in linear models with nested error structure[J]. Journal of Statistical Planning and Inference, 2002, 106:225-233.
  • 5Tusi K W, Weerahandi S. Generalized p value in significance testing of hypotheses in the presence of nuisance parameters[J]. Journal of the American Statistical Association, 1989, 84:602-607.
  • 6Weerahandi S. Generalized confidence intervals[J]. Journal of the American Statistical Association, 1993, 88:899-905.
  • 7Weerihandi S. Testing variance components in mixed models with generalized p values[J]. Journal of the American Statistical Association, 1991, 86:151-153.
  • 8Zhou L P, Mathew T. Some tests for variance components using generalized p values models[J]. Technometrics, 1994, 36:394-402.
  • 9Weerahandi S, Berger V W. Exact inference for growth curves with intraclass correlation structure[JJ. Biometrics, 1999, 55:921-924.
  • 10Chi E M, Weerahandi S. Comparing treatments under growth curve models: exact tests using generalized p values[J]. Journal of Statistical Planning and Inference, 1998, 71:179-189.

二级参考文献12

  • 1XU Xingzhong & LI Guoying Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China,Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China.Fiducial inference in the pivotal family of distributions[J].Science China Mathematics,2006,49(3):410-432. 被引量:17
  • 2LI Xinmin, LI Guoying & XU Xingzhong College of Mathematics and Information Sciences, Shandong University of Technology, Zibo 255049, China,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100800, China,Department of Mathematics, Beijing Institute of Technology, Beijing 100801, China.Fiducial intervals of restricted parameters and their applications[J].Science China Mathematics,2005,48(11):1567-1583. 被引量:4
  • 3G. A. Milliken and D. E. Johnson, Analysis of Messy Data (Vol. I), Life Learning Publications, Belmont, 1984.
  • 4L. Zhou and T. Mathew, Some tests for variance components using generalized p values, Technometrics, 1994, 36(4): 394-402.
  • 5D. W. Webb and S. A. Wilkerson, Use of generalized p values to compare two independent estimates of tube-to-tube variability for the M1A1 tank, in Proceedings of the Section on Physical and Engineering Sciences, American Statistical Association, 1999, 105-109.
  • 6T. Mathew and D. W. Webb, Generalized p values and confidence intervals for variance components: applications to army test and evaluation, Technometrics, 2005, 47(3):312-322.
  • 7K. W. Tsui and S. Weerahandi, Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters, J. Amer. Statist. Assoc., 1989, 84(406): 602-607.
  • 8S. Weerahandi, Generalized confidence intervals, J. Amer. Statist. Assoc., 1993, 88(423): 899-905.
  • 9S. Weerahandi. Exact Statistical Methods for Data Analysis, Springer-Verlag, New York, 1995.
  • 10M. X. Wu and S. G. Wang, A new spectral decomposition for the covariance matrix in linear mixed model and its applications, Science in China (Series A), 2005, 35(8): 947-960.

共引文献10

同被引文献30

  • 1扈慧敏,杨荣,徐兴忠.单因素方差分析模型中的广义p-值[J].中国科学院研究生院学报,2007,24(4):408-418. 被引量:9
  • 2BENNET B M. Note on a solution of the generalized Behrens-Fisher problem[J]. Annals of the Institute of Statistical Mathematics, 1951,2 : 87-90.
  • 3JAMES G S. Test of linear hypotheses in univariate and multivariate analysis when the ratios of the popu- lation variances are known[J]. Biometrika, 1954, 41 : 19-43.
  • 4KIM S. A practical solution to the multivariate Beh- rens-Fisher problem [J]. Biometrika, 1992, 79: 171- 176.
  • 5CHRISTENSEN W F,RENCHER A C. A comparison of type I error rates and power levels for several solu- tions to the multivariate Behrens-Fisher problem[J]. Communications in Statistics-Simulation and Computa- tion, 1997,26 :1251-1273.
  • 6JOHNSON R A,WEERAHANDI S. A Bayesian solu- tion to the multivariate Behrens-Fisher problem[J]. Bi- ometrika, 1998,83 : 145-149.
  • 7GAMAGE J, MATHEW T, WEERAHANDI S. Gen- eralized p-values and generalized confidence regions for the mul VA[J] 177-189 ivariate Behrens-Fisher problem and MANO- Journal of Multivariate Analysis, 2004, 88.177-189.
  • 8TUSI K W, WEERAHANDI S. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters[J]. Journal of the American Sta- tistical Association, 1989,84:602-607.
  • 9WEERHANDI S. Testing regression equality with un- equal variances [J ]. Econometrica, 1987, 55: 1211- 1215.
  • 10WEERAHANDI S. Testing variance components in mixed models with generalized p-values[J]. Journal of the American Statistical Association, 1991, 86: 151- 153.

引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部