A client asks about the risk of joint infection after a steroid injection. You remember a JAVMA paper on it, something reassuring, a few hundred injections, one bad outcome. You quote a rate off the top of your head. That rate is real. It is also built on one dog.
That is the trap. Every JAVMA study reports a headline sample size, the number in the title or the first line of the abstract. But the specific claim you're about to repeat to a client almost never rests on that headline number. It rests on whatever smaller n sits inside the table the claim actually came from. Checking which n you're standing on takes fifteen seconds and it is the difference between citing a finding and citing a coincidence.
Twelve Cases, Eight Dogs
Take a paper vet cardiologists still cite from memory: Fascetti et al. "Taurine Deficiency in Dogs with Dilated Cardiomyopathy: 12 Cases (1997-2001)," JAVMA, 2003. The title says 12. That is a case series, not a trial, and 12 is already a small n to build a clinical impression on.
But the number that usually gets repeated is narrower than 12. Repeat echocardiograms were obtained in 9 of the 12 dogs, and the specific measurement most often quoted, E-point to septal separation, was reported on 8 dogs. That is the n behind the statistic, not the n in the title. An 8-dog before-and-after comparison in a retrospective case series is a real data point. It is not the same claim as "a study of 12 dogs found."
The paper's own design is a limitation the authors would not dispute: no control group, no randomization, referral-population dogs that may not represent the general patient pool. We are not second-guessing the finding. We are pointing out that the n changes depending on which sentence you're citing, and most people citing it from memory use the biggest one.
One Event Out of 505
The joint-injection paper above is a cleaner example of the same problem, because it has three different sample sizes stacked on top of each other. Miller, Carney, Markmann, and Frye published a retrospective review in JAVMA (2023;261:397-402) built from Cornell's hospital records: 505 joint injections, across 283 patient visits, in 178 client-owned dogs, treated for osteoarthritis and related joint disease between 2010 and 2022.
The finding people quote is the safety one: one case of septic arthritis out of 505 injections. Said out loud, that becomes "less than one in five hundred." That framing is not wrong, but it is doing more work than the data can support. It is a single event. The authors themselves flagged that it was unclear whether the infection came from the injection at all, versus an unrelated hematogenous source. A rate built on one occurrence swings enormously with the next case that comes through the door. It could double at the next data pull and the paper's math would not have been wrong, because n=1 events do not produce stable rates. Minor complications, by contrast, were common enough to trust more: 70 of 283 visits, mostly transient soreness. That is a real subgroup with a real n behind it. The septic arthritis number is not in the same category, and the paper's own denominator, 505 injections versus 178 dogs, versus 283 visits, is a reminder that "out of how many" needs a specific answer before you repeat a rate.