Statistical formulas such as regression, uncertainty coefficient, t-test, chi square, and various types of ANOVA ( analyses of variance ) are fundamental to forming logical, valid conclusions.

Statistical natural-language processing uses stochastic, probabilistic and statistical methods to resolve some of the difficulties discussed above, especially those which arise because longer sentences are highly ambiguous when processed with realistic grammars, yielding thousands or millions of possible analyses.

Statistical analyses of data involve making certain types of assumption, whether or not a formal statistical model is used.

Statistical analyses designed to pick up signals too faint to be detected by the comparative method, though of disputed validity, suggest five major Papuan stocks ( roughly Trans – New Guinea, West, North, East, and South Papuan languages ); long-range comparison has also suggested connections between selected languages, but again the methodology is not orthodox in historical linguistics.

Statistical analyses of multivariate data often involve exploratory studies of the way in which the variables change in relation to one another and this may be followed up by explicit statistical models involving the covariance matrix of the variables.

Von Storch received the IMSC achievement award at the International Meetings on Statistical Climatologyin Edinburgh in 2010, to " recognize his key contributions to statistical downscaling, reconstruction of temperature series, analyses of climatic variability, and detection and attribution of climate change.

Statistical analyses of the year's games would sometimes appear in the Igo Nenkan ( Kido Yearbook ), backing up the intuition of many top players.

Statistical analyses performed by MSHA show that between 1990 and 2004, the industry cut the rate of injuries ( a measure comparing the rate of incidents to overall number of employees or hours worked ) by more than half and fatalities by two-thirds following three prior decades of steady improvement.

He also set up the School of Statistics in 1928, and, in 1936, the Faculty of Statistical, Demographic and Actuarial Sciences.

The Statistical Division also produces data on World Agricultural Trade Flows.

From 1970 activists protested the classification of homosexuality as a mental illness by the American Psychiatric Association in their Diagnostic and Statistical Manual of Mental Disorders, and in 1974 it was replaced with a category of " sexual orientation disturbance " then " ego-dystonic homosexuality ", which was also deleted, although " gender identity disorder " remains.

* Statistical induction, also known as statistical inference.

Statistical quantification of significance, confidence, and error are also important tools for the scientific method.

The terms distress and impairment as defined by the Diagnostic and Statistical Manual of Mental Disorders, Fourth Edition ( DSM-IV-TR ) should also take into account the context of the sufferer's environment if attempting a diagnosis.

Statistical mechanics also provides ways to predict the properties we see in everyday life from molecular properties without relying on empirical correlations based on chemical similarities.

Statistical approaches, using for example Monte Carlo methods, are also possible.

Statistical study, however, is only a small component of SABR members ' research, which also focuses on diverse issues including ballparks, the Negro Leagues, rules changes, and the desegregation of baseball as a mirror of American culture.

Statistical mechanics can also describe work in non-linear dynamics, chaos theory, thermal physics, fluid dynamics ( particularly at high Knudsen numbers ), or plasma physics.

Statistical thermodynamics, also called statistical mechanics, emerged with the development of atomic and molecular theories in the second half of the 19th century and early 20th century.

Statistical mechanics contains another arrow of time, the Second Law of Thermodynamics ( see also the fluctuation theorem ).

Statistical methods ( also called stochastic or empirical ) are based on measured and averaged losses along typical classes of radio links.

HMM-based synthesis is a synthesis method based on hidden Markov models, also called Statistical Parametric Synthesis.

Until 1999, there was a South East Standard Statistical Region, which also included the counties of Essex, Hertfordshire, Bedfordshire and Greater London.

It is also the county seat of Kent County, and the principal city of the Dover, Delaware Metropolitan Statistical Area, which encompasses all of Kent County.

The US Office of Management and Budget also includes Chapel Hill as a part of the Raleigh-Durham-Cary Combined Statistical Area, which has a population of 1, 749, 525 as of Census 2010.

It is also included in the merged Huntsville-Decatur Combined Statistical Area.

It is also the largest county in the Tuscaloosa, Alabama, Metropolitan Statistical Area.

It is part of the Johnstown, Pennsylvania Metropolitan Statistical Area and also part of Johnstown's urban area.

Outagamie County is also part of the Appleton-Neenah-Oshkosh Combined Statistical Area, along with adjacent Winnebago County.

The county is also part of the Lubbock – Levelland Combined Statistical Area.

Grayson County is included in the Sherman-Denison Metropolitan Statistical Area and the Dallas – Fort Worth Combined Statistical Area, and is also part of the Texoma region.

The International Statistical Classification of Diseases and Related Health Problems ( ICD ), produced by the World Health Organization ( WHO ), is another commonly used manual which includes criteria for mental disorders.

Washington County is part of the Kingsport – Bristol ( TN )– Bristol ( VA ) Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Scott County is part of the Kingsport – Bristol ( TN )– Bristol ( VA ) Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Bristol is a principal city of Kingsport – Bristol – Bristol, TN-VA Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Washington County is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Unicoi County is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Sullivan County is part of the Kingsport – Bristol ( TN )– Bristol ( VA ) Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Hawkins County is part of the Kingsport – Bristol ( TN )– Bristol ( VA ) Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

Carter County is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region of Northeast Tennessee.

Elkhart has the larger population of the two principal cities of the Elkhart-Goshen Metropolitan Statistical Area, which in turn is part of the South Bend-Elkhart-Mishawaka Combined Statistical Area, in a region commonly known as Michiana.

It is most commonly listed as part of the Johnstown Metropolitan Statistical Area, although state and local sources list it as part of the Altoona area as an Altoona suburb due to being much closer to Altoona and as a result, eastern Cambria county, including Cresson, is often more marketed to by Altoona businesses than by Johnstown businesses for services and jobs.

It is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.

It is part of the Johnson City Metropolitan Statistical Area, which is a component of the Johnson City – Kingsport – Bristol, TN-VA Combined Statistical Area – commonly known as the " Tri-Cities " region.