The McNemar test for binary matched-pairs data: mid-p and asymptotic are better than exact conditional.
The McNemar test for binary matched-pairs data: mid-p and asymptotic are better than exact conditional.
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DOI：
10.1186/1471-2288-13-91
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发表时间：
2013-07-13
影响因子：
4
通讯作者：
Laake P
中科院分区：
文献类型：
--
作者：
Fagerland MW;Lydersen S;Laake P
使用中p方法的统计方法是分析分类数据的有用工具，特别是对于小样本和中等样本量。中间p检验在过度保守的精确方法和经常违反标称水平的渐近方法之间取得平衡。在这里，我们研究了一个中p版本的McNemar精确条件检验配对二项比例的分析。我们比较了I型错误率和功率的中间p检验与渐近McNemar检验（有和没有连续性校正），McNemar精确的条件检验，并使用完全枚举的精确的无条件检验。我们展示了如何使用八个标准软件包，包括Excel中的p检验可以计算。与渐近检验、连续性校正渐近检验和精确条件检验相比，中p检验表现良好，几乎与复杂得多的精确无条件检验一样好。即使中p检验不能保证保持显著性水平，但它在本文考虑的任何9595场景中都没有违反标称水平。它几乎和渐近检验一样强大。精确条件检验和连续性校正的渐近检验在任何考虑的情况下都没有很好的表现。易于计算的mid-p检验是复杂的精确无条件检验的一个很好的替代方案。两者都可以在任何情况下使用。我们还建议渐近检验，如果小，但经常违反标称水平是可以接受的。
Statistical methods that use the mid-p approach are useful tools to analyze categorical data, particularly for small and moderate sample sizes. Mid-p tests strike a balance between overly conservative exact methods and asymptotic methods that frequently violate the nominal level. Here, we examine a mid-p version of the McNemar exact conditional test for the analysis of paired binomial proportions. We compare the type I error rates and power of the mid-p test with those of the asymptotic McNemar test (with and without continuity correction), the McNemar exact conditional test, and an exact unconditional test using complete enumeration. We show how the mid-p test can be calculated using eight standard software packages, including Excel. The mid-p test performs well compared with the asymptotic, asymptotic with continuity correction, and exact conditional tests, and almost as good as the vastly more complex exact unconditional test. Even though the mid-p test does not guarantee preservation of the significance level, it did not violate the nominal level in any of the 9595 scenarios considered in this article. It was almost as powerful as the asymptotic test. The exact conditional test and the asymptotic test with continuity correction did not perform well for any of the considered scenarios. The easy-to-calculate mid-p test is an excellent alternative to the complex exact unconditional test. Both can be recommended for use in any situation. We also recommend the asymptotic test if small but frequent violations of the nominal level is acceptable.
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影响因子：
2
作者：
HAVILAND, MG
通讯作者：
HAVILAND, MG
影响因子：
3.7
作者：
LANCASTER, H
通讯作者：
LANCASTER, H
影响因子：
2.3
作者：
Agresti, A
通讯作者：
Agresti, A
影响因子：
20.3
作者：
Cavo, Michele;Pantani, Lucia;Palumbo, Antonio
通讯作者：
Palumbo, Antonio
影响因子：
3.1
作者：
Bentur, Lea;Lapidot, Moshe;Elhasid, Ronit
通讯作者：
Elhasid, Ronit