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首页> 外文期刊>Journal of applied statistics >Testing variance components in balanced linear growth curve models
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Testing variance components in balanced linear growth curve models

机译：在平衡的线性增长曲线模型中测试方差分量

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摘要

It is well known that the testing of zero variance components is a non-standard problem since the null hypothesis is on the boundary of the parameter space. The usual asymptotic chi-square distribution of the likelihood ratio and score statistics under the null does not necessarily hold because of this null hypothesis. To circumvent this difficulty in balanced linear growth curve models, we introduce an appropriate test statistic and suggest a permutation procedure to approximate its finite-sample distribution. The proposed test alleviates the necessity of any distributional assumptions for the random effects and errors and can easily be applied for testing multiple variance components. Our simulation studies show that the proposed test has Type I error rate close to the nominal level. The power of the proposed test is also compared with the likelihood ratio test in the simulations. An application on data from an orthodontic study is presented and discussed.
机译：众所周知，由于零假设在参数空间的边界上，所以零方差分量的测试是一个非标准问题。由于这种无效假设，似然比和得分统计量的通常渐近卡方分布不一定成立。为了避免在平衡的线性增长曲线模型中遇到此困难，我们引入了适当的检验统计量，并提出了一种置换程序来近似其有限样本分布。拟议的测试减轻了对随机效应和误差的任何分布假设的必要性，并且可以轻松地用于测试多个方差分量。我们的仿真研究表明，所提出的测试的I型错误率接近标称水平。在模拟中，还将拟议测试的功效与似然比测试进行了比较。介绍并讨论了正畸研究中的数据应用。

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