Some old and some new statistical tools for outcomes research.
Some old and some new statistical tools for outcomes research.
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DOI:
10.1161/circulationaha.108.766907
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发表时间:
2008-08-19
期刊:
影响因子:
37.8
通讯作者:
Normand SL
中科院分区:
文献类型:
--
作者:
Normand SL
ment increase survival after acute myocardial infarction (AMI)? Causal inference focuses on what would happen to a specific individual under different treatment options. In contrast, predictive inference focuses on the comparison of outcomes between groups of individuals who have received different treatments. Causal inference can be thought of as a special case of predictive inference in which subjects who could have received either treatment are identified and used to infer treatment effects (eg, what would have happened to a patient’s survival had the patient received a different treatment than the one observed?). Specific features of a randomized clinical trial10 permit researchers to conclude whether a treatment or intervention is efficacious. First, the experimenter determines the assignment of treatments to patients using a known mechanism. This mechanism is the randomization allocation probability determined by the experimenter and implemented with standard software. Treatment allocation may correspond to equal allocation between treatment arms for all trial patients or equal allocation between treatment arms within important patient groups, such as diabetic and nondiabetic patients. Allocation probabilities can be fixed, or they can be adaptive procedures11 that change as the study progresses. The outcome of the random assignment (eg, subject is assigned to treatment A) has several key properties, 2 of which include (1) that it is predictive of treatment taken, so that if we were to model the probability of treatment received as a function of treatment assignment, the odds ratio of the treatment assignment variable would be large, and (2) that treatment assignment is not related to outcome if we take into account the treatment received. This implies that it is the treatment received that causes a change in patient outcome and not the treatment assigned. A variable with these properties is also referred to as an “instrumental variable.” 12, 13 A second characteristic of a randomized trial is a surprisingly simple fact: Every subject who meets the study inclusion criteria has a chance of receiving the treatment. This implies that the probability that a trial participant receives the study treatment is always greater than zero. This is due both to study inclusion/exclusion criteria that are developed to define the target population and to experimental control over who receives the study treatment. This seemingly trivial point is often ignored in observational studies. The third feature is that, in theory, no unmeasured or measured variables (denoted confounders) are present that relate to both treatment assignment and outcome. Statistically, this implies that the “potential” outcome and treatment assignment are independent given the patient covariates. This means that because participants have been allocated randomly to treatment groups, and each participant had a chance of receiving treatment, the only difference between the treatment groups is treatment assignment. The standard estimate of the treatment effect is the intention-to-treat estimate, in which the average outcome of those assigned to treatment is subtracted from the average outcome of those assigned to the comparison treatment. The intention-to-treat estimate is only valid under the assumption of full treatment compliance and no missing data, 14 and very few studies meet these criteria. Randomized studies have additional important features, such as blinding, which will not be discussed here.