Encyclopedia of Statistical Sciences 2004
DOI: 10.1002/0471667196.ess0055
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Approximations to Distributions

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“…A first way to test the significance of s(P k , P k 0 ) can be by approximation (Bowman and Shenton (1982)). Mielke (1979) and Brook and Stirling (1984) demonstrated (by using analytical and simulation tools, respectively) the inadequacy of significance tests evaluated through a normal approximation because of the skewness in the null distribution of the Rand index; they also indicated how to obtain a distributional approximation based on at least the third moment (e.g., the Pearson Type I as suggested by Mielke et al (1976) and Mielke (1978) for a similar measure).…”
Section: A Procedures To Identify Cluster Structures In a Data Matrixmentioning
confidence: 99%
“…A first way to test the significance of s(P k , P k 0 ) can be by approximation (Bowman and Shenton (1982)). Mielke (1979) and Brook and Stirling (1984) demonstrated (by using analytical and simulation tools, respectively) the inadequacy of significance tests evaluated through a normal approximation because of the skewness in the null distribution of the Rand index; they also indicated how to obtain a distributional approximation based on at least the third moment (e.g., the Pearson Type I as suggested by Mielke et al (1976) and Mielke (1978) for a similar measure).…”
Section: A Procedures To Identify Cluster Structures In a Data Matrixmentioning
confidence: 99%