likelihood ratio statistic

likelihood ratio statistic
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  • Likelihood-ratio test — The likelihood ratio, often denoted by Lambda (the capital Greek letter lambda), is the ratio of the maximum probability of a result under two different hypotheses. A likelihood ratio test is a statistical test for making a decision between two… …   Wikipedia

  • Monotone likelihood ratio — A monotonic likelihood ratio in distributions f(x) and g(x) The ratio of the density functions above is increasing in the parameter x, so f(x)/g(x) satisfies the monotone likelihood ratio property. In statistics, the monoto …   Wikipedia

  • Monotone likelihood ratio property — is a property of a family of probability distributions described by their probability density functions (PDFs). A family of density functions { f heta (x)} { hetain Theta} indexed by a parameter heta taking values in a set Theta is said to have… …   Wikipedia

  • Likelihood function — In statistics, a likelihood function (often simply the likelihood) is a function of the parameters of a statistical model, defined as follows: the likelihood of a set of parameter values given some observed outcomes is equal to the probability of …   Wikipedia

  • Likelihood principle — In statistics,the likelihood principle is a controversial principle of statistical inference which asserts that all of the information in a sample is contained in the likelihood function.A likelihood function arises from a conditional probability …   Wikipedia

  • Odds ratio — The odds ratio [1][2][3] is a measure of effect size, describing the strength of association or non independence between two binary data values. It is used as a descriptive statistic, and plays an important role in logistic regression. Unlike… …   Wikipedia

  • Maximum likelihood — In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… …   Wikipedia

  • Summary statistic — Box plot of the Michelson–Morley experiment, showing several summary statistics. In descriptive statistics, summary statistics are used to summarize a set of observations, in order to communicate the largest amount as simply as possible.… …   Wikipedia

  • Diagnostic odds ratio — log(Diagnostic Odds Ratio) for varying sensitivity and specificity The diagnostic odds ratio is a measure of the effectiveness of a diagnostic test.[1] It is defined as the ratio of the odds of the test being positive if the subject has a disease …   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

  • Asymptotic theory — is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… …   Wikipedia


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