Statistical model
hideA 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
Wikipedia.
This text uses material from Wikipedia and is available under the GNU Free Documentation License.
News tagged with statistical model
New Logistics Model Improves Forecast Accuracy of Retail and Packaged-Goods Orders
Nov 11, 2009 |
not rated yet |
0
(PhysOrg.com) -- Whether it’s dog food or iPods, tires or televisions, virtually every consumer has endured a frustrating out-of-stock experience. Retailers hate it as much as customers, perhaps more, because they lose money ...
Does prostate-specific antigen velocity help in early detection prostate cancer?
Nov 05, 2009 |
not rated yet |
0
The November issue of European Urology, the official journal of the European Association of Urology, features an article focussing on prostate specific antigen (PSA) velocity and early cancer detection. It has been sugges ...
Fitness levels decline with age, especially after 45
Oct 26, 2009 |
4 / 5 (2) |
0
Men and women become gradually less fit with age, with declines accelerating after age 45, according to a report in the October 26 issue of Archives of Internal Medicine, one of the JAMA/Archives journals. However, mainta ...
Prediction model superior to traditional criteria in bladder treatment decision
Oct 12, 2009 |
not rated yet |
0
A statistical model can accurately predict which patients will have poor outcomes after bladder surgery and can determine the need for chemotherapy. The analysis, to be published in the December 1, 2009 issue of CANCER, a peer ...
Discovery could improve hepatitis C treatment
Sep 23, 2009 |
not rated yet |
0
Walter and Eliza Hall Institute researchers are part of an international team that has discovered a genetic variation that could identify those people infected with hepatitis C who are most likely to benefit ...
Early spring time for Edinburgh? Study predicts effect of global warming on spring flowers
Space & Earth / Earth Sciences
Sep 10, 2009 |
1 / 5 (2) |
1
Will we soon see the flowers of Edinburgh in full bloom in the depths of winter? This possibility is considered in a new study into the impact of global warming on spring flowering, published today in the International Jo ...
Computers unlock more secrets of the mysterious Indus Valley script
Technology / Computer Sciences
Aug 03, 2009 |
4.5 / 5 (24) |
5
Four-thousand years ago, an urban civilization lived and traded on what is now the border between Pakistan and India. During the past century, thousands of artifacts bearing hieroglyphics left by this prehistoric ...
Twin study examines associations between depression and coronary artery disease
Medicine & Health / Psychology & Psychiatry
Aug 03, 2009 |
3 / 5 (1) |
0
Major depression and coronary artery disease are only modestly related throughout an individual's lifetime, but studying how the two interact over time and in twin pairs paints a more complex picture of the associations between ...
NYU physicists make room for oddballs
Aug 03, 2009 |
5 / 5 (2) |
0
(PhysOrg.com) -- Here's a question. How many gumballs of different sizes can fit in one of those containers at the mall so as to reward a well-spent quarter? It's hard to believe that most people never consider ...
No crystal ball necessary: New tool IDs predictable economic variables
Jul 21, 2009 |
4.3 / 5 (3) |
4
You don't need a crystal ball to tell you what is going to happen next in the economy. You need a statistical model. A new method from North Carolina State University can help researchers determine which economic variables ...
Dino-not-so-soaring
Other Sciences / Archaeology & Fossils
Jun 22, 2009 |
3.9 / 5 (7) |
3
The largest animals ever to have walked the face of the earth may not have been as big as previously thought, reveals a paper published today in the Zoological Society of London's Journal of Zoology.
Height of large waves changes according to month
May 29, 2009 |
not rated yet |
0
A team of researchers from the University of Cantabria, Spain, has developed a statistical model that makes it possible to study the variability of extreme waves throughout the year, according to the journal Coastal Engineering. The st ...
From cars to cancer: Researcher employs auto industry tools for tumor therapy
May 06, 2009 |
2 / 5 (1) |
0
An effort is under way at the University of Houston to use technologies with origins in the automobile industry to develop new tools that will help doctors and technicians better plan radiation therapy for ...
Inadequate sleep leads to behavioral problems
Apr 27, 2009 |
3.7 / 5 (3) |
0
A recent Finnish study suggests that children's short sleep duration even without sleeping difficulties increases the risk for behavioral symptoms of ADHD.
New human movement model can aid in studying epidemic outbreaks, public planning
Apr 27, 2009 |
3 / 5 (2) |
0
Researchers have developed a new statistical model that simulates human mobility patterns, mimicking the way people move over the course of a day, a month or longer. The model, developed by scientists at North Carolina State ...
