statistical populations almost always requires some background assumptions. Those assumptions must be made carefully, because incorrect assumptions can...

A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from...

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic...

Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis...

forth. The second assumption is that the observed extreme events must come from the same probability density function. The third assumption is that the probability...

certain statistical assumptions about the local dynamic properties of each subsystem (similar to assumptions made in room acoustics and statistical mechanics)...

A statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis...

Nonparametric statistics is a type of statistical analysis that makes minimal assumptions about the underlying distribution of the data being studied...

This assessment may be an exploration of the model's underlying statistical assumptions, an examination of the structure of the model by considering formulations...

under the assumption that the training and test data are generated from the same statistical distribution (IID). However, this assumption is often dangerously...

of statistical analysis is to produce information about some chosen population. In statistical inference, a subset of the population (a statistical sample)...

or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups...

point estimate Testing statistical hypotheses Many of the standard methods for those approaches rely on certain statistical assumptions (made in the derivation...

different from statistical learning theory in that it does not make use of statistical assumptions and analysis. Both algorithmic and statistical learning theory...

entropy? Are the assumptions (especially the assumption of molecular chaos) behind Boltzmann's equation too strong? When are these assumptions violated? Boltzmann...

true and standard assumptions about the errors (ε) in the data hold. F-tests are frequently used to compare different statistical models and find the...

velocities (or speeds) of particles in an ideal gas follows from the statistical assumption that the energy levels of a gas molecule are given by its kinetic...

[needs update] Projected figures vary depending on underlying statistical assumptions and which variables are manipulated in projection calculations...

and variance can generally still be regarded as statistical parameters of the population, and statistical procedures can still attempt to make inferences...

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable (often called...

entirely discredited due its lack of scientific evidence and false statistical assumptions. An article published by the New Yorker in the year 2000, shortly...

Sufficient statistic Geisser, S. (2006), Modes of Parametric Statistical Inference, John Wiley & Sons Cox, D. R. (2006), Principles of Statistical Inference...

making decisions on the basis of verifiable data and statistical methods rather than assumptions and guesswork In fact, lean management and Six Sigma...

under the assumption that the two groups are not distinct in terms of the measured variable. From this, one then uses the observed statistic ( T obs {\displaystyle...

countries or areas to specific groupings is for statistical convenience and does not imply any assumption regarding political or other affiliation of countries...

In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis...

Analysis of variance (ANOVA) is a family of statistical methods used to compare the means of two or more groups by analyzing variance. Specifically, ANOVA...

increases. Statistical models specify a set of statistical assumptions and processes that represent how the sample data are generated. Statistical models...

involves estimating "location". Under typical statistical assumptions, the mean or average is the statistic for estimating location that minimizes the expected...

typical error is assuming an inappropriate statistical distribution for the data. The assumed statistical model should be tested using goodness of fit...