In a randomized trial, subjects are assigned to treatment or control by
the flip of a fair coin. In many nonrandomized or observational studies,
subjects find their way to treatment or control in two steps, either or both of
which may lead to biased comparisons. By a vague process perhaps affected by
proximity or sociodemographic issues, subjects find their way to institutions
that provide treatment. Once at such an institution, a second process, perhaps
thoughtful and deliberate, assigns individuals to treatment or control. In the
current paper, the institutions are hospitals, and the treatment under study is
the use of general anesthesia alone versus some use of regional anesthesia
during surgery. For a specific operation, the use of regional anesthesia may be
typical in one hospital and atypical in another. A new matched design is
proposed for studies of this sort, one that creates two types of nonoverlapping
matched pairs. Using a new extension of optimal matching with fine balance,
pairs of the first type exactly balance treatment assignment across
institutions, so each institution appears in the treated group with the same
frequency that it appears in the control group; hence, differences between
institutions that affect everyone in the same way cannot bias this comparison.
Pairs of the second type compare institutions that assign most subjects to
treatment and other institutions that assign most subjects to control, so each
institution is represented in the treated group if it typically assigns subjects
to treatment or alternatively in the control group if it typically assigns
subjects to control, and no institution appears in both groups. By and large, in
the second type of matched pair, subjects became treated subjects or controls by
choosing an institution, not by a thoughtful and deliberate process of selecting
subjects for treatment within institutions. The design provides two evidence
factors, that is, two tests of the null hypothesis of no treatment effect that
are independent when the null hypothesis is true, where each factor is largely
unaffected by certain unmeasured biases that could readily invalidate the other
factor. The two factors permit separate and combined sensitivity analyses, where
the magnitude of bias affecting the two factors may differ. The case of knee
surgery in the study of regional versus general anesthesia is considered in
detail.