Diseases, Conditions, Syndromes

Harvard undergrad's AI model helps to predict TB resistance

One of the greatest challenges in treating tuberculosis—the top infectious killer worldwide, according to the World Health Organization (WHO)—is the bacterium's ability to shapeshift rapidly and become resistant to multiple ...


Stopwatch set for milestone marathon in 2032

By estimating a statistical model for male and female marathon world record progressions, Dr. Angus also found that 1:58.05 is likely the fastest time that any living human being will be able to run this distance.

Diseases, Conditions, Syndromes

Model for improving campylobacter management

A refined model for understanding the source of campylobacter infections may be a key management tool for public health officials around the world.

Psychology & Psychiatry

Implicit attitudes can change over the long term

Data from more than 4 million tests completed between 2004 and 2016 show that Americans' attitudes toward certain social groups are becoming less biased over time, according to research published in Psychological Science, ...

Gerontology & Geriatrics

In times of low unemployment, nursing home quality suffers

The low unemployment rate in the U.S.—which fell to a 49 year-low in September and October—is good news to many people, but perhaps not to residents of nursing homes. A Georgetown University Medical Center (GUMC) study ...


Sexual risk assessment tool in the child welfare system developed

Children in the welfare system are particularly vulnerable to commercial sexual exploitation of children (CSEC) according to a 2013 U.S. House of Representatives Ways and Means hearing, but few practical screening tools currently ...


Stimulating deeper insights into brain function

Modeling changes in brain activity over time provides deeper insights into learning and behavioral responses. Observing the brain's response to repeated stimuli has helped KAUST researchers develop a method for modeling connectivity ...

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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