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It occurred to me that, while I've pieced together some ideas over the years about the differences between statistics and biostatistics, I've never heard a formal explanation. What is the distinction between these two disciplines (currently)? And why did this distinction begin in the first place?

EDIT: I've not been specific enough in my original question. I understand that biostatistics is the application and development of statistics in the biomedical field. But what are some specific examples of the distinctions? For example, what distinguishes graduate education in the two fields? What is the purpose of having distinct academic departments for the two disciplines (a distinction I see in no other field)?

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biostat = application of statistical methodologies to biology ? – robin girard Nov 10 '10 at 18:16
Right, but there are applications of statistical methodologies in every discipline. Why does biostatistics exist (in the US, at least) as a semi-distinct discipline? – Matt Parker Nov 10 '10 at 18:24
well, one other example is econometrics, which also is seen as a distinct profession. – kjetil b halvorsen Dec 21 '12 at 18:34
@MattParker Consider that the "bio" in biostatistics, when including medicine, is actually a massive component of the overall research enterprise. It's possible those other fields simply can't sustain a dedicated sub-discipline department, whereas biomedicine can. – Fomite Sep 13 '15 at 0:22

When I look at the Wikipedia entry for biostatistics, the relation to biometrics doesn't seem so obvious to me since, historically, biometrics was more concerned with characterizing individuals by some phenotypes of interest, with large applications in population genetics (as exemplified by the work of Fisher), whereas part of this discipline now focus on biometric systems (whose objectives are the "recognition or identification of individuals based on some physical or behavioral characteristics that are intrinsically unique for each individual", according to Boulgouris et al., Biometrics, 2010). Anyway, there still are reviews like Biometrika and Biometrics; although I read the latter on an irregular basis, most articles focus on "biostatistical" theoretical or applied work. The same applies for Biostatistics. By "biostatistical" applications, I mean that it has to do with applications or models related to the biomedical domain, in a wide sense (biology, health science, genetics, etc.).

According to the Encyclopedia of Biostatistics (2005, 2nd ed.),

(...) As is clear from the above examples, biostatistics is problem oriented. It is specifically directed to questions that arise in biomedical science. The methods of biostatistics are the methods of statistics -- concepts directed at variation in observations and methods for extracting information from observations in the face of variation from various sources, but notably from variation in the responses of living organisms and particularly human beings under study. Biostatistical activity spans a broad range of scientific inquiry, from the basic structure and functions of human beings, through the interactions of human beings with their environment, including problems of environmental toxicities and sanitation, health enhancement and education, disease prevention and therapy, the organization of health care systems and health care financing.

In sum, I think that Biostatistics is part of a super-family--Statistics--, and share most of its methods, but has a more focused area of interest (hence, an historical background, specific designs, and a general theoretical framework) and dedicated modeling strategies.

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To quote the "Encyclopedic dictionary of mathematics" by Kiyosi Itô (ed.):

In many applied fields there exist systems of statistical methods which have been developed specifically for the respective fields, and although all of them are based essentially on the same general principles of statistical inference, each has its own special techniques and procedures. Specific names have been invented, such as biometrics, econometrics, psychometrics, technometrics, sociometrics, etc.
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Biostatistics, biometrics and biometry are synonyms. Medical statistics (sometimes called 'clinical biostatistics' for no clear reason) is a subset of these.

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I really don't think that biostatistics and biometrics are synonyms. Biometrics includes face recognition, finger print analysis, while biostatistics involved clinical trial design and so on... Similar names only. – carlosdc Nov 10 '10 at 20:14
That usage of 'biometrics' is an unfortunate neologism. See – onestop Nov 10 '10 at 20:32
This isn't really addressing the question, however. I know what the definition of biostatistics is, but I don't know how it differs from statistics in practice, in education, in philosophy, etc. – Matt Parker Nov 10 '10 at 20:52
'Clinical biostatistics' actually makes perfect sense to me. The assumptions, estimates, etc. that clinical researchers work with are markedly different, even to people "one field over". I have to change my entire mindset when I'm working with clinical data. – Fomite Sep 13 '15 at 0:23

As someone who took courses from the Statistics department of a university which did not offer a Biostatistics major and worked in clinical trials with biostatisticians and read many papers written by biostatisticians, I can offer a particular perspective. I see biostatistics as a field that applies a subset of standard statistical techniques to clinical research. Biostatistics focuses on categorical variables and logistic regression to a greater degree than statistics applied to subjects studied in the physical sciences and engineering. Biostatistics tends to seek answers to binary questions, such as these: 1) Is this subject healthy or sick? or 2) does this drug cause more good than harm? It often uses discrete independent variables such as whether a subject was alive or dead at the end of the study. This isn't an ironclad distinction, though: biostatistics also uses survival analysis, which involves measuring a continuous variable, i.e., the length of time to an event of biological significance.

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Biostatistics also makes unique contributions to statistical theory, and the links between study design and inference. Equivalence tests are an example of the former, and counterfactual causal estimation a la James Robins, Sander Greenland, etc. (within epi/biostats) is an example of the former. – Alexis Jul 1 '14 at 0:50

I will take a swing at answering this from the perspective of someone who is neither a statistician nor a biostatistician. Rather, I exist in the blurry grey area that is "epidemiological methods".

As other posters have mentioned, biostatistics is a discipline particularly focused on statistics as they apply to biological problems - including those that arise in medicine. While this seems somewhat semantic, it does result in some things that I think it make it a distinct entity on its own, though none of these are strictly exclusive:

  • A reliance on subject-matter expertise. Be this through collaboration with subject matter experts, or simply working on the same problem for a long time, biostats involves the fusion of a statistical method with a particularly applied problem.
  • A common and fairly restricted set of study designs. While exotic study designs are growing more acceptable, by and large the field is still dominated by cohort, case-control and clinical trial designs. The focus is often on estimating categorical exposures (given the drug, not given the drug...) and categorical outcomes (died, didn't die).
  • A ubiquity of missing/misclassified/poor data.
  • Less emphasis on classification and prediction. As @Alexis has mentioned, causal inference, and the desire to explore counterfactuals is hugely important for biostatistics. While not exclusively true, something that is a good predictor but has no etiologic explanation is of less interest. This has, for example, somewhat limited the penetration of machine learning methods.
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As for what I see this seems to be just a matter of semantics. Statistics applied to research or testing in the social sciences is just called Statistics. A person working with this type of situations needs to have a through knowledge of his or her field before applying a statistical procedure. Anyway we just call it Statistics. I think that this discussion is just about a system of preferences. If in the biological fields it is preferred to call it biostatistics there is no problem. This is just a choice of words.

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Please stop adding additional answers. You can click the gray "edit" at the bottom left of your answer to edit, update or augment an existing answer. – gung Sep 13 '15 at 0:45

Statistics vs. Biostatistics does not make sense as a comparison; biostatistics is really a sub topic of statistics. This would be like asking "what's the difference between mathematics and probability?"; probability is a subfield of mathematics.

As others have noted, biostatistics applied to problems that are very common in both medical studies and biological research. This includes, but certainly is not limited to, survival analysis, sequential trial design, longitudinal analysis and genomic analyses, to name only a few topics.

As for the difference between programs in statistics and biostatistics, the obvious difference between two programs is that the biostatistics programs will be specializing in the topics above. Most statistics programs will still cover biostatistics (for example, I have my PhD in Statistics, and I am most qualified as a biostatistician, my current position), but it is definitely possible to get a PhD in statistics with only a mild introduction to biostatistic-specific topics.

It's my understanding that the high demand for statisticians by pharmaceutical companies lead to the demand for biostatistics programs.

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There is not a significant difference between statistics and biostatistics. In my definition, biostatistics is the application of statistics to biology. So a Biostatistician has a relatively strong command in biology, well at least enough to understand how to apply his statistics to biology. It would be the same concept as Artstatistics, or Sociostatistics; application of statistics to art or statistics to sociology, respectively. Biostatistics is simply the statistics of BIOLOGY. So you need a command of biology and statistics to do well as a Biostatistician.'Tis all.

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Biostatistics is part of epidemiology and medical science. – Alexis Jul 1 '14 at 15:38

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