By Maurice G. Kendall, William R. Buckland
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Additional resources for A dictionary of statistical terms
Women’s Health Initiative (WHI) Steering Committee (2004). Effects of conjugated equine estrogen in postmenopausal women with hysterectomy. The Journal of the American Medical Association 291, 1701–1712. Women’s Health Initiative Study Group (1998). Design of the Women’s Health Initiative clinical trial and observational study. Controlled Clinical Trials 19, 61–109. Writing Group for the Women’s Health Initiative (WHI) Investigators (2002). Risks and beneﬁts of estrogen plus progestin in healthy postmenopausal women: Principal results from the Women’s Health Initiative randomized controlled trial.
We can observe only one or the other of Y(W) as indicated by W. The key problem for causal inference is that, for any individual unit, we observe the value of the potential outcome under only one of the possible treatments, namely the treatment actually assigned, and the potential outcome under the other treatment is missing. Thus, inference for causal effects is a missing-data problem – the ‘‘other’’ value is missing. For example, your reduction in blood pressure one week after taking a drug measures a change in time, in particular, a change from before taking the drug to after taking the drug, and so is not a causal effect without additional assumptions.
Thus, the smoking-related expenditures estimated by Glenn Harrison and Wendy Max, and Henry Miller [experts for the plaintiffs] need to be adjusted by what Jeffrey Harris [expert for the plaintiffs] has calculated to be the proportion of total smoking-attributable expenditures caused by defendants’ improper conduct.
A dictionary of statistical terms by Maurice G. Kendall, William R. Buckland