Sports medicine & Kinesiology

New models may help coaches improve throwing athletes' performance

The Summer Olympic Games feature throwing events, such as shot put, hammer throw and discus. One training tool used by these athletes is throwing different mass implements to improve competitive performance, but the method ...

Alzheimer's disease & dementia

'Fit2Drive' transforms assessing older drivers with cognitive decline

As the world's population ages, so does the proportion of older drivers on the road. Safe driving requires adequate memory, perceptual and motor skills, and executive function abilities. Although individuals with severe Alzheimer's ...

Oncology & Cancer

Predicting infection risk in childhood cancer

A statistical model can accurately predict the risk of bloodstream infections in a subset of children with cancer, according to a study published in the Journal of Clinical Oncology.

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Statistical model

A statistical model is a set of mathematical equations which describe the behavior of an object of study in terms of random variables and their associated probability distributions. If the model has only one equation it is called a single-equation model, whereas if it has more than one equation, it is known as a multiple-equation model.

In mathematical terms, a statistical model is frequently thought of as a pair (Y,P) where Y is the set of possible observations and P the set of possible probability distributions on Y. It is assumed that there is a distinct element of P which generates the observed data. Statistical inference enables us to make statements about which element(s) of this set are likely to be the true one.

Three notions are sufficient to describe all statistical models.

One of the most basic models is the simple linear regression model which assumes a relationship between two random variables Y and X. For instance, one may want to linearly explain child mortality in a given country by its GDP. This is a statistical model because the relationship need not to be perfect and the model includes a disturbance term which accounts for other effects on child mortality other than GDP.

As a second example, Bayes theorem in its raw form may be intractable, but assuming a general model H allows it to become

which may be easier. Models can also be compared using measures such as Bayes factors or mean square error.

This text uses material from Wikipedia, licensed under CC BY-SA