Repeated measurements analysis of variance when the correlations have a certain pattern

Repeated measurements analysis of variance when the correlations have a certain pattern
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当相关性具有一定模式时重复测量方差分析

DOI:
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发表时间:
1979
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通讯作者:
J. Fleiss
J. Fleiss
中科院分区:
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文献类型:
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作者:
S. Wallenstein;J. Fleiss

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考虑一个重复测量研究,其中在每一个ofn个受试者的每一个oft(t > 2)等间隔时间点进行一次观察。本文利用Box的一个结果,在每个时间点的变异性相等,间隔时间单位的观测值之间的相关性等于ρu的情况下,为方差分析表中的自由度寻找适当的乘性校正项。对于较大的ft值,乘法校正的下限约等于2.5/(t − 1)。
Consider a repeated measurements study in which a single observation is taken at each oft(t > 2) equally spaced time points for each ofn subjects. This paper uses a result of Box to find the appropriate multiplicative correction term for the degrees of freedom in the analysis of variance table for the case when there is equal variability per time point, and when the correlation between observationsu time units apart is equal to ρu. For large values oft, the multiplicative correction has a lower bound approximately equal to 2.5/(t − 1).