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3  Using Data for Clinical Decision Making  19

               Cohort Studies                                       Suppose that the patient was lost to follow‐up after
  VetBooks.ir  Assemblages of patients that share one or more defining   four years, but was known to be alive up to that time. Did
                                                                  death from IMHA occur? The answer at the four‐year
               conditions, typically diseases or syndromes,  are often
               referred to as a “case series” but can be more expansively   time point is no, because the patient was not observed
                                                                  long enough for death to occur and be recorded.
               thought of as a patient cohort. In a hospital setting, such   However, such an individual who did not die from IMHA
               patients present over a period of time; if the condition is   after four years should not statistically be treated as
               common then the period of time for sufficient patient   equivalent to a patient still alive after an even longer
               accrual may be brief, but if the condition is rare, it may   period of observation. Because most patients are fol-
               take many years for an adequate number of patients to   lowed for different periods of time after disease diagno-
               be enrolled unless a decision is made to extend patient   sis, an investigator would provide a distorted impression
               enrollment to multiple hospitals. While population‐  of the natural course of the disease by responding to the
               based (epidemiologic) cohort studies typically study risk   simplistic question, “What proportion of patients died?”
               factors for disease incidence, the goal of hospital‐based   A legitimate analysis would instead have to be limited to
               cohort studies is different: to study the outcomes of   specifying an identical follow‐up period for each patient,
               patients already diagnosed with diseases. Such  out-  such as “What proportion of patients succumbed to
               comes are contextual to the specific diseases, but often   IMHA within one year of diagnosis?” Of course, patients
               include the occurrence of or time to remission, relapse,   followed for less than one year would necessarily be
               development of another disease condition, recovery, or   excluded even from this analysis.
               death. By subdividing cohort members into groups     Because follow‐up times vary so much in patients
               defined by factors thought to influence the respective   recruited over long periods of time, a preferable analytic
               outcomes, it becomes possible to quantify and compare   approach takes into account not only if a patient eventu-
               their effects.                                     ally died from the disease, but also how long they were
                 There are two main types of outcomes of interest in
               the  study of  factors  affecting  cohorts  of patients  that   alive prior to death. The apposite question instead
                                                                  becomes: “What is the probability of patients dying from
               share a disease in common. In this example, death will be   IMHA after accounting for different periods of time
               the illustrative outcome, and sex will be the hypothesized   under observation following diagnosis?” The answer, a
               determinant of death. The duality of outcomes is:
                                                                  probability that depends on the time interval after diag-
                  whether or not death from the disease occurs follow-
               ●                                                  nosis and characteristics of patients that influence sur-
                 ing its occurrence in patients                   vival, will fall between 0 and 1. This kind of analysis is
                  how long it takes death from the disease to occur (if it
               ●                                                  generically known as a “survival analysis.” One approach
                 does) following its occurrence in patients.      commonly used to estimate these probabilities is called
               The first outcome is not as straightforward to evaluate as   the “product‐limit method of survival/failure function
               might initially appear, because it depends on two related   estimation” or, equivalently and eponymously, a “Kaplan–
               factors: how long a patient is diseased, and how long a   Meier analysis.”
               patient is followed up.                              To illustrate the distinction between counting the pro-
                 To illustrate these points, consider a patient diagnosed   portion of patients who die and the probability of a
               with  immune‐mediated  hemolytic  anemia  (IMHA)  on   patient dying as a function of time, consider a hypotheti-
               January 1, 2013, and that succumbed to the disease on   cal cohort of 12 patients. Four patients each have either
               January 1, 2019. From the perspective of the investigator,   five, six, or seven years of follow‐up, and within each
               did death occur? The answer is no if the follow‐up time is   group of four patients, two die and two either do not die
               less  than  six  years  (although  death  occurred  after  six   or are lost to follow‐up at the end of their follow‐up
               years, the investigator would not have been aware of it);   period.
               the answer is yes if the time period evaluated is longer   The crude proportion of these 12 patients dying is
               than  six  years.  Therefore,  the  qualified answer to the   50%, but that figure is entirely misleading because of
               question  depends  on  specifying  the  time  of  follow‐up   unequal follow‐up times. In contrast, a statistical analy-
               after the diagnosis is made. Clearly, the longer a patient   sis projects that the probability of dying after five years is
               is followed up, the greater the probability they will die   17%, after six years is 38%, and after seven years is 69%.
               (although not necessarily from IMHA). By convention,   The latter analysis is valid because it accounts for not
               patients who do not experience the health outcome at   only whether or not death occurred, but also how long a
               the point that they are no longer observed at risk of it,   patient was at risk of dying (by including censored
               because they were lost to follow‐up, withdrew from the   patients).
               study, recovered, or died from a competing cause, are   It is also possible to estimate the time it takes to reach
               called “censored.”                                 a certain probability of death. For example, the time it
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