Comparison of two tests useful in situations where treatment is expected to increase variability relative to controls.

Comparison of two tests useful in situations where treatment is expected to increase variability relative to controls.
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比较两种测试,在治疗预计会增加相对于对照的变异性的情况下有用。

DOI:
10.1002/sim.4780122308
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发表时间:
1993
影响因子:
2
通讯作者:
Sawilowsky,S
Sawilowsky,S
中科院分区:
医学3区
文献类型:
--
作者:
Blair,RC;Sawilowsky,S

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将修改后的测试的 I 类误差和功率特性与广义测试的进行了比较。结果表明,与广义 t 检验相比,修改后 t 检验对于偏离总体正态性可能严重不稳健,这种偏离通常会产生反保守的结果。当响应来自正态分布时,这两种测试都比另一种测试具有绝对功效优势,但修改后的测试通常在这些条件下更有效。与合并样本测试相比,当治疗导致平均反应和受试者间方差增加时,这两种测试通常更有效,而当治疗未改变受试者间方差时,这两种测试通常都更有效。鉴于这些结果和其他考虑因素,给出了使用这些最近设计的测试的建议。
The type I error and power characteristics of the modifiedttest were compared with those of the generalizedttest. Results suggested that, in contrast to the generalizedttest, the modifiedttest can be seriously non‐robust to departures from population normality, with such departures often producing anti‐conservative results. Neither test held an absolute power advantage over the other when responses were from normal distributions, but the modifiedttest was generally more powerful for these conditions. In comparison with the pooled samplesttest, both tests were usually much more efficient when treatment caused increases both in mean response and between‐subject variance, and suffered only small disadvantages when between‐subject variance was unchanged by treatment. Given these results and other considerations, recommendations for use of these recently devised tests are given.