The Skillings-Mack test (Friedman test when there are missing data)
The Skillings-Mack test (Friedman test when there are missing data)
复制标题
DOI：
10.1177/1536867x0900900208
复制
发表时间：
2009-01-01
期刊：
影响因子：
4.8
通讯作者：
Mander, Adrian
中科院分区：
文献类型：
--
作者：
Chatfield, Mark;Mander, Adrian
Skillings-Mack统计量（Skillings and Mack，1981，Technometrics 23：171-177）是一种通用的Friedman型统计量，几乎可以用于任何具有任意缺失数据结构的区组设计。缺失数据可以是设计缺失，如不完全区组设计，也可以是完全随机缺失。当平衡完整区组设计中没有缺失数据时，Skillings-Mack检验相当于Friedman检验，而Skillings-Mack检验相当于Durbin（1951年，英国心理学杂志，统计部分4：85-90）中建议的平衡不完整区组设计检验。Friedman检验由Goldstein在Stata中实施（19911 Stata Technical Bulletin 3：26-27），并在Goldstein中进一步发展（2005，Stata，Journal 5：285）。本文介绍了skillmack命令，它执行Skillings-Mack测试。当有许多平局或相等的排名时，skillmack命令也很有用（注意：Friedman统计量与χ（2）分布相比，将给出一个保守的结果），以及对于小样本，通过在Mill假设下模拟检验统计量的分布，可以得到适当的结果。
The Skillings-Mack statistic (Skillings and Mack, 1981, Technometrics 23: 171-177) is a general Friedman-type statistic that call be used ill almost any block design with an arbitrary missing-data structure. The missing data call be either missing by design, for example, all incomplete block design, or missing completely at random. The Skillings-Mack test is equivalent to the Friedman test when there are no missing data ill a balanced complete block design, and the Skillings-Mack test is equivalent to the test suggested in Durbin (1951, British Journal of Psychology, Statistical Section 4: 85-90) for a balanced incomplete block design. The Friedman test was implemented in Stata by Goldstein (19911 Stata Technical Bulletin 3: 26-27) and further developed in Goldstein (2005, Stata, Journal 5: 285). This article introduces the skilmack command, which performs the Skillings-Mack test.The skilmack command is also useful when there are many ties or equal ranks (N.B. the Friedman statistic compared with the chi(2) distribution will give a conservative result), as well as for small samples, appropriate results call be obtained by simulating the distribution of the test statistic under the mill hypothesis.