Dexter F, Chestnut D H
Department of Anesthesia, University of Iowa, College of Medicine, Iowa City 52242-1079, USA.
Anesthesiology. 1995 Apr;82(4):896-902. doi: 10.1097/00000542-199504000-00012.
A common type of study performed by anesthesiologists determines the effect of an intervention on pain reported by groups of patients. The goal of this study was to evaluate the effectiveness of t, analysis of variance (ANOVA), Mann-Whitney, and Kruskal-Wallis tests to compare visual analog scale (VAS) measurements between two or among three groups of patients. These results may be particularly helpful during the design of studies that measure pain with a VAS.
One VAS measurement was obtained from each of 480 nulliparous women in labor who were receiving oxytocin (149), nalbuphine (159), or epidural bupivacaine (172). Multiple simulated samples were then drawn from these data. These simulated samples were used in computer simulations of clinical trials comparing VAS measurements among groups. t and ANOVA tests were performed before and after an arcsin transformation was used, to make the data closer to a normal distribution. VAS measurements were also compared after they were divided into five ranked categories.
The statistical distributions of VAS measurements were not normal (P < 10(-7)). Arcsin transformation made the distributions closer to normal distributions. Nevertheless, no statistical test incorrectly suggested that a difference existed among groups, when there was no difference, more often than the expected rate. t or ANOVA tests had a slightly greater statistical power than the other tests to detect differences among groups. Because arcsin transformation both decreased differences among means and reduced the variance to a lesser extent, it decreased power to detect differences among groups. Statistical power to detect differences among groups was not less for a five-category VAS than for a continuous VAS.
We conclude that t and ANOVA, without an accompanying arcsin transformation, are good tests to find differences in VAS measurements among groups.
麻醉医生进行的一种常见研究类型是确定一种干预措施对患者群体报告的疼痛的影响。本研究的目的是评估t检验、方差分析(ANOVA)、曼-惠特尼检验和克鲁斯卡尔-沃利斯检验在比较两组或三组患者视觉模拟量表(VAS)测量值方面的有效性。这些结果在设计使用VAS测量疼痛的研究时可能特别有用。
从480名接受催产素(149例)、纳布啡(159例)或硬膜外布比卡因(172例)的未产妇中每人获取一次VAS测量值。然后从这些数据中抽取多个模拟样本。这些模拟样本用于比较各组VAS测量值的临床试验计算机模拟。在使用反正弦变换前后进行t检验和方差分析,以使数据更接近正态分布。VAS测量值在分为五个排序类别后也进行了比较。
VAS测量值的统计分布不正常(P < 10⁻⁷)。反正弦变换使分布更接近正态分布。然而,当不存在差异时,没有统计检验错误地表明组间存在差异的频率高于预期率。t检验或方差分析在检测组间差异方面的统计效力略高于其他检验。因为反正弦变换既减少了均值之间的差异,又在较小程度上降低了方差,所以它降低了检测组间差异的效力。检测组间差异的统计效力对于五类VAS并不低于连续VAS。
我们得出结论,不进行伴随的反正弦变换的t检验和方差分析是发现组间VAS测量值差异的良好检验方法。