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关于生长曲线模型位置参数和尺度参数同时检验的若干问题

Some Problems on Testing Position and Scale Parameters together in Growth Curve Model

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【作者】 周纪芗孙东初

【Author】 ZHOU JIXIANG; SUN DONGCHU(Department of Mathematics)

【机构】 华东师范大学数学系华东师范大学数学系

【摘要】 <正> 1.问题及模型在某些实际问题中,所考察的指标可能随时间变化,而此指标又受多个因子的影响.设有m个因子x1,x2,…,xm,在t1,t2,…,tp时刻分别测得其指标值为y1,y2,…,yp.假定

【Abstract】 Two problems on simultaneous hypothetical testing of location and scale parameters in a growth curve model are considered in this paper.Let Y~Np,N(BζA, Σ, I,).where B and A are known matrices of orders p×q and m×N respectively, ζ an unknown location parameter matrix of order q×m, and Σ an unknown positive definite scale parameter matrix of order p×p.In section 2, likelihood ratio test procedures are given for the following null hypotheses: 1) H1: ζ=0,Σ=I 2) H2: ζ=0,Σ=σ2 G.where G is a known positive definite matrix, and σ a unknown positive number. The hth moments and the distributions of these statistics under Hi are given in section 3.

  • 【文献出处】 华东师范大学学报(自然科学版) ,Journal of East China Normal University(Natural Science) , 编辑部邮箱 ,1984年02期
  • 【被引频次】1
  • 【下载频次】43
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