standardised mean difference

标准化平均差
  • 文章类型: Journal Article
    当研究使用不同的量表来衡量连续结果时,对数据进行荟萃分析需要标准化平均差(SMD)。然而,结局通常报告为终点或基线评分的变化.组合相应的SMD可能是有问题的,并且可用的指导建议反对这种做法。我们旨在研究将两种类型的SMD结合在抑郁症严重程度的荟萃分析中的影响。我们使用了药物干预的个体参与者数据(89项研究,27,409名参与者)和互联网提供的认知行为疗法(iCBT;61项研究,13,687名参与者)用于抑郁症,以比较研究水平的终点和基线SMD的变化。接下来,我们使用端点SMD进行了成对(PWMA)和网络荟萃分析(NMA),从基线SMD的变化,或者两者的混合物。从终点计算的特定研究SMD和基线数据的变化在很大程度上相似,尽管对于iCBT干预,3个月时25%的研究与研究特异性SMD之间的重要差异相关(中位数0.01,IQR-0.10,0.13),尤其是在基线失衡的较小试验中.然而,当汇集时,终点和变化SMD之间的差异可以忽略不计。仅合并两个SMD中更有利的部分不会对荟萃分析产生实质性影响,导致药理学和iCBT数据集中的合并SMD差异高达0.05和0.13,分别。我们的发现对抑郁症的荟萃分析有意义,其中我们表明,在估计SMD的终点和变化分数之间的选择对汇总荟萃分析估计没有实质性影响。未来的研究应该复制并将我们的分析扩展到抑郁症以外的领域。
    When studies use different scales to measure continuous outcomes, standardised mean differences (SMD) are required to meta-analyse the data. However, outcomes are often reported as endpoint or change from baseline scores. Combining corresponding SMDs can be problematic and available guidance advises against this practice. We aimed to examine the impact of combining the two types of SMD in meta-analyses of depression severity. We used individual participant data on pharmacological interventions (89 studies, 27,409 participants) and internet-delivered cognitive behavioural therapy (iCBT; 61 studies, 13,687 participants) for depression to compare endpoint and change from baseline SMDs at the study level. Next, we performed pairwise (PWMA) and network meta-analyses (NMA) using endpoint SMDs, change from baseline SMDs, or a mixture of the two. Study-specific SMDs calculated from endpoint and change from baseline data were largely similar, although for iCBT interventions 25% of the studies at 3 months were associated with important differences between study-specific SMDs (median 0.01, IQR -0.10, 0.13) especially in smaller trials with baseline imbalances. However, when pooled, the differences between endpoint and change SMDs were negligible. Pooling only the more favourable of the two SMDs did not materially affect meta-analyses, resulting in differences of pooled SMDs up to 0.05 and 0.13 in the pharmacological and iCBT datasets, respectively. Our findings have implications for meta-analyses in depression, where we showed that the choice between endpoint and change scores for estimating SMDs had immaterial impact on summary meta-analytic estimates. Future studies should replicate and extend our analyses to fields other than depression.
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  • 文章类型: Journal Article
    未经评估:大多数荟萃分析使用“标准化平均差”(效应大小)来总结研究结果。然而,效应大小有重要的限制,需要考虑。
    UNASSIGNED:在简要解释了标准化的均值差异之后,讨论了局限性,并在荟萃分析的背景下提出了可能的解决方案。
    UNASSIGNED:使用效果大小时,必须考虑三个主要限制。首先,效应大小仍然是一个统计学概念,小效应大小可能具有相当大的临床意义,而大效应大小可能没有。第二,对效应大小的具体假设可能不正确。第三,最重要的是,很难解释效应大小对非研究人员的意义。作为可能的解决方案,讨论了“二项式效果大小显示”的使用和需要治疗的数量。此外,我建议使用二元结果,通常更容易理解。然而,目前尚不清楚连续结果的最佳二元结果是什么。
    UNASSIGNED:效果大小仍然有用,只要理解了局限性,并给出了二元结果。
    UNASSIGNED: Most meta-analyses use the \'standardised mean difference\' (effect size) to summarise the outcomes of studies. However, the effect size has important limitations that need to be considered.
    UNASSIGNED: After a brief explanation of the standardized mean difference, limitations are discussed and possible solutions in the context of meta-analyses are suggested.
    UNASSIGNED: When using the effect size, three major limitations have to be considered. First, the effect size is still a statistical concept and small effect sizes may have considerable clinical meaning while large effect sizes may not. Second, specific assumptions of the effect size may not be correct. Third, and most importantly, it is very difficult to explain what the meaning of the effect size is to non-researchers. As possible solutions, the use of the \'binomial effect size display\' and the number-needed-to-treat are discussed. Furthermore, I suggest the use of binary outcomes, which are often easier to understand. However, it is not clear what the best binary outcome is for continuous outcomes.
    UNASSIGNED: The effect size is still useful, as long as the limitations are understood and also binary outcomes are given.
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  • 文章类型: Journal Article
    元分析是一种强大的工具,用于为紧迫的全球挑战提供定量的知情答案。通过从广泛的研究设计和研究系统中提取数据到标准化的效果大小,荟萃分析为生理学家提供了估计总体效应大小和理解效应变异性驱动因素的机会。尽管有这样的野心,比较生理学领域的研究设计可以出现,一开始,由于“令人讨厌的异质性”(例如,研究中使用的温度或治疗剂量不同),彼此之间存在很大差异。不同研究的方法论差异使许多人相信荟萃分析是一种比较“苹果与橙子”的练习。这里,我们通过展示如何将标准化效应大小与多水平元回归模型结合使用来解释驱动研究差异的因素并使它们更具可比性,从而消除了这一神话.我们在比较生理学文献中评估了令人讨厌的异质性的普遍性-表明这是常见的,并且在分析中通常没有考虑到。然后,我们将效应大小度量正式化(例如,温度系数,Q10)为比较生理学家提供了一种消除令人讨厌的异质性的方法,而无需诉诸可能难以解释的更复杂的统计模型。我们还描述了更一般的方法,可以应用于各种不同的背景,以得出新的效果大小和采样方差,为定量合成开辟了新的可能性。通过使用说明效应异质性成分的效应大小,结合现有的元分析模型,比较生理学家可以探索令人兴奋的新问题,同时使大规模数据集的结果更容易获得,可比较和广泛解释。
    Meta-analysis is a powerful tool used to generate quantitatively informed answers to pressing global challenges. By distilling data from broad sets of research designs and study systems into standardised effect sizes, meta-analyses provide physiologists with opportunities to estimate overall effect sizes and understand the drivers of effect variability. Despite this ambition, research designs in the field of comparative physiology can appear, at the outset, as being vastly different to each other because of \'nuisance heterogeneity\' (e.g. different temperatures or treatment dosages used across studies). Methodological differences across studies have led many to believe that meta-analysis is an exercise in comparing \'apples with oranges\'. Here, we dispel this myth by showing how standardised effect sizes can be used in conjunction with multilevel meta-regression models to both account for the factors driving differences across studies and make them more comparable. We assess the prevalence of nuisance heterogeneity in the comparative physiology literature - showing it is common and often not accounted for in analyses. We then formalise effect size measures (e.g. the temperature coefficient, Q10) that provide comparative physiologists with a means to remove nuisance heterogeneity without the need to resort to more complex statistical models that may be harder to interpret. We also describe more general approaches that can be applied to a variety of different contexts to derive new effect sizes and sampling variances, opening up new possibilities for quantitative synthesis. By using effect sizes that account for components of effect heterogeneity, in combination with existing meta-analytic models, comparative physiologists can explore exciting new questions while making results from large-scale data sets more accessible, comparable and widely interpretable.
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  • 文章类型: Letter
    暂无摘要。
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  • 文章类型: Journal Article
    背景:抗精神病药相对于安慰剂的优越性存在争议。一个原因是通常在荟萃分析中使用的效应大小指数是以标准偏差为单位。许多其他指数,其中一些更直观,存在。
    方法:我们解释公式,优势,以及13种效应大小指数的局限性:平均差(MD),标准化均值差(SMD),相关系数,平均比率(RoM,端点和更改数据),改进分数(IF),药物反应分数(DRF),最小临床重要差异单位(MCIDU),从SMD(NNT)导出的需要治疗的数量,赔率比(OR),相对风险(RR),和SMD衍生的风险差异(RD),药物反应和安慰剂反应百分比。我们将这些指标应用于比较抗精神病药物与安慰剂治疗急性精神分裂症的荟萃分析。
    结果:所有抗精神病药物与安慰剂(105项试验,22741名参与者)的差异为:MD9.4(95%CI8.4,10.2)PANSS点,SMD0.47(0.42,0.51),相关系数0.23(0.21,0.25),RoM终点0.83(0.81,0.85),RoM变更1.94(1.84,2.02),IF(%)49(46,51),DRF(%)94(84,102),MCIDU0.63(0.56,0.68),NNT5(5,6),或2.34(2.14,2.52),RR1.67(1.59,1.73),RD20%(18-22),与安慰剂的30%相比,药物的50%(48,52)有所改善。提供了与安慰剂相比的单个药物的结果,也是。
    结论:将这些指数加在一起显示出实质性的,但与安慰剂相比,抗精神病药并没有很大的优势。必须考虑试验中患者的一般慢性性。未来的荟萃分析除了标准化均值差异外,还应报告其他效应大小指数,特别是药物和安慰剂组的应答者百分比。它们可以很容易地得出,并且可以增强对研究结果的解释。
    BACKGROUND: The magnitude of the superiority of antipsychotics over placebo is debated. One reason is that the effect-size index which is usually used in meta-analyses is in standard deviation units. Many other indices, some of which are more intuitive, exist.
    METHODS: We explain the formulae, advantages, and limitations of 13 effect-size indices: Mean Difference (MD), Standardized-Mean-Difference (SMD), Correlation Coefficient, Ratio-of-Means (RoM, endpoint and change data), Improvement Fraction (IF), Drug-Response Fraction (DRF), Minimally-Clinically-Important-Difference-Units (MCIDU), Number-Needed-to-Treat-derived from SMD (NNT), Odds Ratio (OR), Relative Risk (RR), and Risk Difference (RD) derived from SMD, Drug-response and Placebo-response in percent. We applied these indices to meta-analyses comparing antipsychotic drugs with placebo for acute schizophrenia.
    RESULTS: The difference of all antipsychotics pooled vs placebo (105 trials with 22741 participants) was: MD 9.4 (95% CI 8.4,10.2) PANSS points, SMD 0.47 (0.42,0.51), Correlation coefficient 0.23 (0.21,0.25), RoM endpoint 0.83 (0.81,0.85), RoM change 1.94 (1.84,2.02), IF (%) 49 (46,51), DRF (%) 94 (84,102), MCIDU 0.63 (0.56,0.68), NNT 5 (5,6), OR 2.34 (2.14, 2.52), RR 1.67 (1.59,1.73), RD 20% (18-22), and 50% (48, 52) improved on drug compared to 30% on placebo. Results of individual drugs compared to placebo are presented, as well.
    CONCLUSIONS: Taken together these indices show a substantial, but not a large superiority of antipsychotics compared to placebo. The general chronicity of the patients in the trials must be considered. Future meta-analyses should report other effect size indices in addition to the Standardized-Mean-Difference, in particular percentage responders in the drug and placebo groups. They can be easily derived and would enhance the interpretation of research findings.
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  • 文章类型: Journal Article
    通常认为随机化导致对照试验中治疗组的基线可比性。这项研究旨在挑战这种流行的信念,这与预期相关,但不一定与实现相关。
    在概述了随机对照试验(RCT)中评估治疗组基线可比性的方法后,我们回顾了发表在三个高影响力医学期刊上超过1年的RCT.我们提取了有关用于评估基线可比性的方法的数据。要量化基线平衡,我们计算了这些试验中报告的基线特征的事后标准化平均差异(SMD).
    在142个RCT中,120例(84.5%)声称达到了基线可比性。然而,81个RCT(57%)没有报告他们如何评估这一平衡。其余的(61项RCT,43%)使用传统的统计检验,被认为不适合进行余额检查。我们对SMD的事后计算显示,49(34.5%)RCT至少有一个基线变量,这可能是强烈不平衡的(即,各治疗组的SMD≥25%)。
    RCT中治疗组的基线不可比性通常被盲目忽略。我们建议对其进行彻底评估和透明报告,使用标准化的平均差或其他适当的余额指标。
    Randomisation is often believed to lead to baseline comparability of treatment groups in controlled trials. This study aims to challenge this popular belief, which is relevant in expectation- but not necessarily in realisation.
    After presenting an overview of methods for assessing baseline comparability of treatment groups in randomised controlled trials (RCTs), we reviewed RCTs published over 1 year in three high-impact medical journals. We extracted data regarding the methods used to evaluate baseline comparability. To quantify baseline balance, we calculated post hoc standardised mean differences (SMDs) in baseline characteristics reported in these trials.
    Amongst 142 RCTs, 120 (84.5%) claimed that baseline comparability was achieved. However, 81 RCTs (57%) did not report how they assessed this balance. The rest (61 RCTs, 43%) used traditional statistical tests, which are deemed inappropriate for balance checking. Our post hoc calculation of SMDs showed that 49 (34.5%) RCTs had at least one baseline variable, which might have been strongly unbalanced (i.e., SMD ≥25%) across treatment groups.
    Baseline incomparability of treatment groups in RCTs is often blindly ignored. We suggest it be thoroughly evaluated and transparently reported, using the standardised mean difference or other proper balance metrics.
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  • 文章类型: Journal Article
    Aims The standardised mean difference (SMD) is one of the most used effect sizes to indicate the effects of treatments. It indicates the difference between a treatment and comparison group after treatment has ended, in terms of standard deviations. Some meta-analyses, including several highly cited and influential ones, use the pre-post SMD, indicating the difference between baseline and post-test within one (treatment group).
    In this paper, we argue that these pre-post SMDs should be avoided in meta-analyses and we describe the arguments why pre-post SMDs can result in biased outcomes.
    One important reason why pre-post SMDs should be avoided is that the scores on baseline and post-test are not independent of each other. The value for the correlation should be used in the calculation of the SMD, while this value is typically not known. We used data from an \'individual patient data\' meta-analysis of trials comparing cognitive behaviour therapy and anti-depressive medication, to show that this problem can lead to considerable errors in the estimation of the SMDs. Another even more important reason why pre-post SMDs should be avoided in meta-analyses is that they are influenced by natural processes and characteristics of the patients and settings, and these cannot be discerned from the effects of the intervention. Between-group SMDs are much better because they control for such variables and these variables only affect the between group SMD when they are related to the effects of the intervention.
    We conclude that pre-post SMDs should be avoided in meta-analyses as using them probably results in biased outcomes.
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  • 文章类型: English Abstract
    在“调查结果摘要”表格中呈现连续结果对解释提出了特别的挑战。当每个研究使用相同的结果测量时,并且该度量的单位是直观可解释的(例如,住院时间,症状持续时间),呈现手段上的差异通常是可取的。当结果度量的自然单位不容易解释时,选择阈值来创建二元结果,并呈现相对和绝对效果成为更具吸引力的选择。当研究使用相同结构的不同度量时,计算汇总度量需要转换为每个研究的相同度量单位。最长期和最广泛使用的方法是将每个研究中的均值差异除以其标准偏差,并以标准偏差单位(标准化平均差)显示汇总结果。这种方法的缺点包括在基础人群中容易受到不同程度的异质性以及难以解释。替代方案包括以最流行或可解释的度量单位呈现结果,转换为二分法度量,并呈现相对和绝对效果,呈现干预组和对照组的手段比例,并以最小重要的差异单位呈现结果。我们概述了每种替代方案的优点和局限性,并为元分析师和指南开发人员提供指导。
    结论:研究结果摘要表提供了证据质量和影响程度的简洁表述。总结连续结果的发现对解释提出了特殊的挑战,当个别试验对同一结构使用不同的措施时,这些挑战将变得令人生畏。为不同的衡量标准提供汇总估计的最常用方法,以标准偏差单位表示结果,具有与统计特性和可解释性相关的局限性。可能更可取的替代方案包括以最受欢迎的措施的自然单位呈现结果,转化为二元结果,呈现相对和绝对效果,呈现干预组和对照组的手段比例,并以预先建立的最小重要差异单位呈现结果。
    Presenting continuous outcomes in Summary of Findings tables presents particular challenges to interpretation. When each study uses the same outcome measure, and the units of that measure are intuitively interpretable (e.g., duration of hospitalisation, duration of symptoms), presenting differences in means is usually desirable. When the natural units of the outcome measure are not easily interpretable, choosing a threshold to create a binary outcome and presenting relative and absolute effects become a more attractive alternative. When studies use different measures of the same construct, calculating summary measures requires converting to the same units of measurement for each study. The longest standing and most widely used approach is to divide the difference in means in each study by its standard deviation and present pooled results in standard deviation units (standardised mean difference). Disadvantages of this approach include vulnerability to varying degrees of heterogeneity in the underlying populations and difficulties in interpretation. Alternatives include presenting results in the units of the most popular or interpretable measure, converting to dichotomous measures and presenting relative and absolute effects, presenting the ratio of the means of intervention and control groups, and presenting the results in minimally important difference units. We outline the merits and limitations of each alternative and provide guidance for meta-analysts and guideline developers.
    CONCLUSIONS: Summary of Findings tables provide succinct presentations of evidence quality and magnitude of effects. Summarising the findings of continuous outcomes presents special challenges to interpretation that become daunting when individual trials use different measures for the same construct. The most commonly used approach to providing pooled estimates for different measures, presenting results in standard deviation units, has limitations related to both statistical properties and interpretability. Potentially preferable alternatives include presenting results in the natural units of the most popular measure, transforming into a binary outcome and presenting relative and absolute effects, presenting the ratio of the means of intervention and control groups, and presenting results in preestablished minimally important difference units.
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  • 文章类型: Journal Article
    我们描述了单案例设计的标准化平均差异统计量(d),相当于组间实验中通常的d。我们展示了如何使用它来总结研究中病例的治疗效果,在规划新研究和资助提案时进行功率分析,并对同一问题的研究进行荟萃分析。我们讨论了这种d统计量的局限性,以及对他们可能的补救措施。即便如此,与单案例设计的其他效果大小度量相比,此d统计量在统计学上更好地建立,与许多一般的线性模型方法不同,如多级建模或广义加法模型,它产生了标准化的效应大小,可以整合到具有不同结果度量的研究中。可以使用用于效果大小计算和功率分析的SPSS宏。
    We describe a standardised mean difference statistic (d) for single-case designs that is equivalent to the usual d in between-groups experiments. We show how it can be used to summarise treatment effects over cases within a study, to do power analyses in planning new studies and grant proposals, and to meta-analyse effects across studies of the same question. We discuss limitations of this d-statistic, and possible remedies to them. Even so, this d-statistic is better founded statistically than other effect size measures for single-case design, and unlike many general linear model approaches such as multilevel modelling or generalised additive models, it produces a standardised effect size that can be integrated over studies with different outcome measures. SPSS macros for both effect size computation and power analysis are available.
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  • 文章类型: Journal Article
    Preeclampsia is the major cause of maternofetal and neonatal morbi-mortality including intrauterine growth retardation, miscarriages and stillbirths. Inadequate vascular dilation and angiogenesis represent the crucial underlying defect of gravidic hypertension, denoting a failed response to the vasodilatory and pro-angiogenic challenge imposed by pregnancy, especially if multifetal. A similar pathogenesis appears involved in gestational diabetes. In this review we aimed to provide a hint on understanding the deeply involved angiogenic disorders which eventually culminate in utero-placental failure. The key players in these complex processes may be found in an intricate network of growth factors (GFs) and GF inhibitors, controlled by several vascular risk factors modulated by environment and genes, which eventually impact on early and late cardiovascular outcomes of mother and fetus.
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