News tagged with statistical model
(Medical Xpress)—Visual perception is far more complex and powerful than our experience suggests. Moreover, in attempting to both understand vision and implement it in a computational device, the fact that ...
Neuroscience Feb 28, 2013 | 4.8 / 5 (10) | 14 |
(Medical Xpress)—At the same settings and light conditions, a camera will take the same picture every time. In contrast, a brain does not make perfect reconstructions of a stimulus. It appears instead to ...
Neuroscience Apr 08, 2013 | 5 / 5 (6) | 6 |
As scientists probe and parse the genetic bases of what makes a human a human (or one human different from another), and vigorously push for greater use of whole genome sequencing, they find themselves increasingly ...
Genetics Apr 26, 2013 | not rated yet | 0 |
Mathematical prediction models are better than doctors at predicting the outcomes and responses of lung cancer patients to treatment, according to new research presented today (Saturday) at the 2nd Forum of the European Society ...
Cancer Apr 20, 2013 | 4 / 5 (1) | 0 |
American adults who prepare their own meals and exercise on the same day are likely spending more time on one of those activities at the expense of the other, a new study suggests.
Health Apr 12, 2013 | not rated yet | 2 |
Marriage may not always be as beneficial to health as experts have led us to believe, according to a new study.
Health Mar 05, 2013 | 4 / 5 (1) | 0 |
Strains of antibiotic-resistant 'Staph' bacteria show seasonal preference: Children at higher risk in summer
Strains of potentially deadly, antibiotic-resistant Staphylococcus aureus bacteria show seasonal infection preferences, putting children at greater risk in summer and seniors at greater risk in winter, according to result ...
Diseases, Conditions, Syndromes Feb 28, 2013 | not rated yet | 0 |
A new study, to be published in the Feb. 7, 2013 issue of the American Journal of Human Genetics, expands and deepens the biological and genetic links between cardiovascular disease and schizophrenia. Cardiovascular diseas ...
Genetics Jan 31, 2013 | 5 / 5 (1) | 0 |
(Medical Xpress)—It's a familiar sight at the fairground: rows of people gaping at curvy mirrors as they watch their faces and bodies distort. But while mirrored surfaces may be fun to look at, new findings by researchers ...
Neuroscience Jan 22, 2013 | 5 / 5 (3) | 0 |
Recent combat veterans who are diagnosed with post traumatic stress disorder have significantly smaller volume in an area of the brain critical for regulating fear and anxiety responses, according to research led by scientists ...
Psychology & Psychiatry Nov 05, 2012 | not rated yet | 0 |
Keeping the lungs healthy could be an important way to retain thinking functions that relate to problem-solving and processing speed in one's later years, new research suggests.
Psychology & Psychiatry Oct 09, 2012 | not rated yet | 0 |
Scientists from Australia and Oxford University have carried out a complex analysis in an attempt to determine the "optimal" level of alcohol consumption that is associated with the lowest rates of chronic disease in the ...
Health Jun 06, 2012 | not rated yet | 0
(Medical Xpress) -- Researchers at the University of Cambridge have developed a simple mathematical model of the brain which provides a remarkably complete statistical account of the complex web of connections ...
Neuroscience Apr 13, 2012 | 5 / 5 (10) | 0 |
A team of University of Pittsburgh mathematicians is using computational models to better understand how the structure of neural variability relates to such functions as short-term memory and decision making. In a paper published ...
Neuroscience Apr 02, 2012 | 4.4 / 5 (5) | 0 |
Older maternal and paternal age are jointly associated with having a child with autism, according to a recently published study led by researchers at The University of Texas Health Science Center at Houston (UTHealth).
Autism spectrum disorders Feb 10, 2012 | 4.2 / 5 (5) | 0 |
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.
For more information about Statistical model, read the full article at
This text uses material from Wikipedia and is available under the GNU Free Documentation License.