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3  Using Data for Clinical Decision Making  21

               divide it by the rate from drug B; this is called the inci-  a particular treatment regimen by a veterinarian. This
  VetBooks.ir  dence rate ratio, which is often equivalently reported as   type of bias is called “confounding by indication,” and all
                                                                  nonrandomized studies of treatment efficacy are poten-
               the hazard rate ratio or incidence density ratio. In this
               example, the rate ratio = 0.29 / 0.11 = 2.7; this can be
                                                                  trol for this bias, particularly in retrospective studies
               interpreted to mean that the rate of cure from drug A is   tially susceptible to it. The inability to statistically con-
               2.7 times greater than the rate of cure from drug B, even   where the reason for selecting a treatment may not be in
               though the eventual probability of being cured is 100% in   the  medical  record,  should  presumably  dissuade
               both drug groups.                                    investigators from conducting nonrandomized studies of
                 When the rates in the two groups being compared are   treatment efficacy.
               identical, then no matter what those rates are, the rate
               ratio will always equal 1.0. Typical significance tests that   Case–Control Studies
               are performed on such cohort data assume that the rate
               ratio equals 1.0 – this is the “null hypothesis.” Rejection   In one sense, a case–control study is a size‐ and cost‐effi-
               of the null hypothesis (using a type I error proportion of   cient variant of a cohort study. Both are longitudinal (ret-
               5%) implies that the rate ratios at least as large (or small)   rospective or prospective), can be performed on the
               as those observed are unlikely (with a probability of less   same population, and are designed to investigate how
               than 5%) to have arisen when the null hypothesis and   one or more potential measured risk factors may affect
               model assumptions are correct – and thus the data are   the occurrence of measured specified health outcomes
               relatively  incompatible  with  the  null  hypothesis.  It  is   (such as becoming diseased). An important way in which
               conventional to report rate ratio statistics accompanied   they differ is in how populations are sampled for study
               by: (1) their respective 95% confidence intervals to dem-  inclusion. In cohort studies, investigators take a census
               onstrate the degree of precision associated with the sta-  of a population, unconditionally sample it, or sample it
               tistic, and (2) P‐values corresponding to a test of the null   conditional  on  risk  factor  status.  In contrast, in  case–
               hypothesis that the rate ratio = 1 (i.e., there is no differ-  control studies, investigators always sample conditional
               ence in the rates of the outcome between the groups),   on outcome (typically disease) status, selecting cases and
               which are interpretable as the probabilities of finding   controls. The studies also differ with respect to the sta-
               rate ratios >1 at least as large (or rate ratios <1 at least as   tistical interpretation of their respective effect measures.
               small) as those observed in the study when the null   Cohort studies, by virtue of their ability to estimate rates
               hypothesis (of no difference in rates) is correct.  and risks, allow the use of these statistics to construct
                 There are, however, compelling reasons not to use hos-  comparative measures of putative effect, such as risk
               pital‐based  cohort studies to  study treatment efficacy   ratios and incidence rate ratios. Case–control studies,
               between groups of patients. In contrast to intervention   because of their unique sampling design, estimate odds
               studies, where treatment is randomly assigned, cohort   ratios (see Chapter 2 for a detailed explanation of this
               study patients are intentionally (and, pointedly, non‐ran-  statistic).
               domly)  administered a  particular  treatment  by choice.   For illustration, consider a study designed to test the
               For example, one treatment may have been available dur-  hypothesis that vaccination leads to a transient (two
               ing earlier years of patient enrollment, but was later   months) increase in the risk of IMHA in dogs. A hospi-
               superseded by an alternative preferred treatment. A   tal‐based cohort study could be undertaken by either: (1)
               cohort study comparing these treatments would be una-  enrolling some or all patients at risk of IMHA to the hos-
               ble to discriminate between any possible effects they had   pital, assessing their vaccination histories, and observing
               and any effects related to time (such as from amended   the subsequent incidence of IMHA conditional on vac-
               standards of care, veterinarian experience and adeptness   cination  histories, or (2)  conditionally  enrolling  dogs
               at treating cases over time, different clinicians of poten-  known to have been vaccinated and comparing them to
               tially  different abilities treating patients  across times,   enrolled dogs confirmed to have not received vaccines,
               trends in disease severity seen over time at the hospital,   and then measuring subsequent IMHA incidence. Both
               etc.). In addition, clinicians administer treatments in   approaches could be done retrospectively, provided vac-
               part by using their acuity to judge patient severity; one   cination histories were in the medical record and there
               treatment may be indicated for milder cases, while an   was sufficient patient follow‐up to determine if IMHA
               alternative treatment, that may be more costly and risky   occurred, or could be done prospectively by placing the
               but potentially superior, may be earmarked for cases   enrolled dogs with recorded vaccine histories under sur-
               with the poorest prognoses. Again, it would be problem-  veillance for disease onset.
               atic for the investigator to distinguish whatever treat-  The problem with this approach is that IMHA is a rela-
               ment effects may exist that are distinct from the effects   tively rare disease, and regardless of whether the cohort
               of disease severity (or any other influences) that inspired   study was done retrospectively or prospectively, it would
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