goodness-of-fit statistic

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• Goodness of fit — The goodness of fit of a statistical model describes how well it fits a set of observations. Measures of goodness of fit typically summarize the discrepancy between observed values and the values expected under the model in question. Such… …   Wikipedia

• Negative multinomial distribution — notation: parameters: k0 ∈ N0 the number of failures before the experiment is stopped, p ∈ Rm m vector of “success” probabilities, p0 = 1 − (p1+…+pm) the probability of a “failure”. support …   Wikipedia

• Pearson's chi-squared test — (χ2) is the best known of several chi squared tests – statistical procedures whose results are evaluated by reference to the chi squared distribution. Its properties were first investigated by Karl Pearson in 1900.[1] In contexts where it is… …   Wikipedia

• Maximum spacing estimation — The maximum spacing method tries to find a distribution function such that the spacings, D(i), are all approximately of the same length. This is done by maximizing their geometric mean. In statistics, maximum spacing estimation (MSE or MSP), or… …   Wikipedia

• Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

• Coefficient of determination — In statistics, the coefficient of determination R2 is used in the context of statistical models whose main purpose is the prediction of future outcomes on the basis of other related information. It is the proportion of variability in a data set… …   Wikipedia

• Pearson's chi-square test — Pearson s chi square ( chi;2) test is the best known of several chi square tests – statistical procedures whose results are evaluated by reference to the chi square distribution. Its properties were first investigated by Karl Pearson. In contexts …   Wikipedia

• statistics — /steuh tis tiks/, n. 1. (used with a sing. v.) the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and… …   Universalium

• Kolmogorov-Smirnov test — In statistics, the Kolmogorov ndash;Smirnov test (also called the K S test for brevity) is a form of minimum distance estimation used as a nonparametric test of equality of one dimensional probability distributions used to compare a sample with a …   Wikipedia

• Normality test — In statistics, normality tests are used to determine whether a data set is well modeled by a normal distribution or not, or to compute how likely an underlying random variable is to be normally distributed. More precisely, they are a form of… …   Wikipedia

• Multinomial test — In statistics, the multinomial test is the test of the null hypothesis that the parameters of a multinomial distribution equal specified values. It is used for categorical data; see Read and Cressie[1]. We begin with a sample of N items each of… …   Wikipedia