Hozo I, Djulbegovic B
Department of Mathematics, Indiana University Northwest, Gary 46408, USA.
Comput Biomed Res. 1999 Apr;32(2):168-85. doi: 10.1006/cbmr.1998.1505.
Understanding the risks and benefits of available treatments represents an essential element of clinical practice. Previous work has demonstrated that knowledge of net benefits and net risks can relate to our decisions on whether or not to administer a particular treatment or order a diagnostic test. A wider application of this model has been difficult because data on net benefits and net risks are not directly reported. We used more frequently reported data on treatment efficacy (E) and risks (Rrx) to obtain an equation for the treatment threshold probability above which treatment should be given and below which it should be withheld. The diagnostic test should only be performed if the probability of a disease is between the testing threshold and the treatment threshold. We first described a theoretical background for these calculations. We then used a JavaScript programming language to write a computer program which physicians can use to calculate these threshold probabilities effortlessly through the Internet. In most clinical situations we do not have to achieve maximum diagnostic certainty in order to act. However, we should never treat or order a diagnostic test if the risk of the treatment is greater than its efficacy. The minimally required E/R ratio of a particular treatment is equal to the reciprocal value of the mortality/morbidity of untreated disease. Similarly, the lowest number of patients needed to be treated (NNT) for therapy to be worth administering is equal to the reciprocal of the treatment risk. We show how evidence-based summary measures of therapeutic effects, such as the treatment efficacy, harms, and NNT, can successfully be integrated within a decision analytic model. This in turn will facilitate wider use of the quantitative benefit-risk analysis. Accessing the Internet for direct and immediate approach to the formulas described here should make this task even easier in everyday clinical decision making.
了解现有治疗方法的风险和益处是临床实践的一个基本要素。先前的研究表明,对净效益和净风险的了解可能与我们决定是否给予某种特定治疗或进行诊断性检查有关。由于净效益和净风险的数据未被直接报告,这种模型的广泛应用一直很困难。我们使用更频繁报告的治疗效果(E)和风险(Rrx)数据,得出一个治疗阈值概率的方程,高于该阈值应给予治疗,低于该阈值则应暂停治疗。仅当疾病概率介于检测阈值和治疗阈值之间时,才应进行诊断性检查。我们首先描述了这些计算的理论背景。然后,我们使用JavaScript编程语言编写了一个计算机程序,医生可以通过互联网轻松地使用该程序来计算这些阈值概率。在大多数临床情况下,我们不必为了采取行动而达到最大的诊断确定性。然而,如果治疗风险大于其疗效,我们绝不应该进行治疗或安排诊断性检查。特定治疗所需的最低E/R比等于未治疗疾病的死亡率/发病率的倒数。同样,治疗值得进行所需治疗的最低患者数量(NNT)等于治疗风险的倒数。我们展示了如何将基于证据的治疗效果总结指标,如治疗疗效、危害和NNT,成功地整合到一个决策分析模型中。这反过来将促进定量效益-风险分析的更广泛应用。通过互联网直接即时获取此处描述的公式,应该会使日常临床决策中的这项任务更加容易。