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22  Section 1  Evaluation and Management of the Patient

            be unlikely to have many cases of IMHA enrolled unless   the cases, the distribution of the same risk factors is also
  VetBooks.ir  the population was very large, adversely affecting sta-  measured in controls. Setting aside the issue of match-
                                                              ing, conceptually the distribution of risk factors in a con-
            tistical precision and jeopardizing the ability to make
            conclusions. Moreover, it would require comparing vac-
                                                              that same distribution in the source population. Matching
            cination histories on a disproportionately large number   trol group not subject to selection bias effectively mirrors
            of dogs that never developed IMHA for comparison to   is a technical violation of this principle, because match-
            a  disproportionately small number of dogs that did,   ing on a confounder alters the distribution of the risk fac-
            adversely affecting study efficiency.             tors in the controls to be more aligned with that of the
             If an adequate number of cases exist in a hospital reg-  cases, but this intentional design feature that leads to an
            istry (or those of multiple hospitals or diagnostic labora-  unintentional selection bias can be remediated through a
            tories, etc.), a  far more efficient  approach to  studying   proper matched statistical analysis.
            factors affecting the incidence of a rare disease is to take   The problem with this conception of a control group as
            a census or sample of the cases from the registry, and for   a representative sample of a source population of cases is
            comparative purposes take a sample of dogs (controls)   one of  practicality: for  a hospital that  is not  in a geo-
            never diagnosed with IMHA (but theoretically at risk of   graphically restricted region, it is not at all clear what the
            getting it later in life) from the same registry. The ratio of   source population is. There are many reasons, known
            controls to cases is at the discretion of the investigator; if   and unknown, why owners elect to have their pets treated
            resources dictate that only a fixed number of cases and   or not treated, and why they choose one hospital over
            controls can be included in the study, a 1:1 ratio is most   another. The reasons why owners make such choices
            efficient. If the cost of obtaining risk factor information   could be influenced in some way by the very risk factors
            on the patients is not an important consideration, then a   being studied, so without appreciating the subtleties of
            ratio of up to 4–5 controls per case is usually sufficient   selecting controls, it is possible to introduce selection
            for statistical precision.                        bias into a case–control study.
             Although controls can be taken at any time during the   To illustrate this point, suppose that an investigator at
            period of case accrual, there are distinct statistical and   a community hospital wishes to determine if vaccina-
            interpretive advantages to selecting them at the same   tions lead to IMHA development, and observes that 50%
            time that cases are diagnosed. Such matching on time   of new cases had a history of vaccination in the prior two
            can be extended to additional confounders, such as hos-  months. The odds of exposure to the risk factor is there-
            pital (in a multicenter study) and age, but most other   fore 0.50 / 0.50 = 1.0. To obtain controls, a random sur-
            confounders can be controlled for by an appropriate   vey by the investigator of pet owners in the community
            matched analysis.                                 around the hospital reveals that 8.3% of their pets were
             The advantages to matching controls to cases on time   vaccinated in the prior two months; the odds of exposure
            are several‐fold. First, if time itself was a confounder of   in  the community-based controls is 0.083 / 0.917 =
            the risk factor–disease relationship (i.e., if disease inci-  0.091. The odds ratio relating two‐month prior vaccina-
            dence and the distribution of the risk factor in the popu-  tion to IMHA incidence is 1.0 / 0.091 = 11.0.
            lation change over time), then effective analytic control   The assumption behind using a random sample of
            of it would almost certainly be impossible without   dogs in the community as controls is that they represent
            matching if the period of case accrual was long. Second,   the source population of cases of IMHA seen at the hos-
            the odds ratio calculated from the case–control study   pital; namely, had those dogs in the community devel-
            can be interpreted as a risk ratio when the incidence of   oped IMHA, they would have been brought to the
            disease is believed to be rare in all categories of the risk   hospital and undergone the same diagnostic work‐up as
            factors (and confounders). Third, if the disease incidence   other cases of IMHA. In cases when only a single hospi-
            is not rare, the odds ratio can still be interpreted as an   tal serves a well‐circumscribed region, this may be a ten-
            incidence rate ratio, described earlier for cohort studies.   able assumption. However, if there are multiple hospitals
            However, analyses of matched case–control data are   that serve communities, the reasons why some owners
            complex when more than one control is matched to a   select one hospital over another may be related to factors
            case, and require a computer with software capable of   associated with the study exposure. Moreover, the pro-
            performing conditional logistic regression.       portion of owners who are willing to bear the costs of
             The most difficult design issue in case–control studies   seeking medical diagnosis and care for their pets for seri-
            is that of proper control selection. Cases can be thought   ous illnesses is likely to be lower than the proportion of
            of as originating from an underlying source population   people who would seek medical care for their own seri-
            of individuals at risk of developing the disease, and con-  ous illnesses.
            trols are, simplistically, a sample of that source popula-  Now suppose that the investigator’s hospital is known
            tion. Just as the distribution of risk factors is measured in   for higher medical costs relative to other hospitals that
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