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Decision making on the sole basis of statistical likelihood

Giang, Phan H.; Shenoy, Prakash P. - 2005

uncertainty is represented by a probability function, in our theory, uncertainty is given in the form of a likelihood function … extracted from statistical evidence. The likelihood principle in statistics stipulates that likelihood functions encode all … that defines the likelihood of a set of hypotheses as the maximum likelihood over the elements of the set. We justify an …

Persistent link: https://www.econbiz.de/10009430923

Model-Robust Interval Estimation

Gotwalt, Christopher Michael - 2003

performance: the generalized score interval; the robust profile likelihood interval; a new, modified generalized score interval …

Persistent link: https://www.econbiz.de/10009431232

Nonparametric Bayes Conditional Distribution Modeling With Variable Selection

Dunson, David - 2009

This article considers a methodology for flexibly characterizing the relationship between a response and multiple predictors. Goals are (1) to estimate the conditional response distribution addressing the distributional changes across the predictor space, and (2) to identify important predictors...

Persistent link: https://www.econbiz.de/10009475527

Likelihood analysis of a first order autoregressive model with exponential innovations

Nielsen, Bent; Shephard, Neil - 2003

This paper derives the exact distribution of the maximum likelihood estimator of a first-order linear autoregression … estimator is ρT-consistent. Further, the likelihood ratio test statistic for a simple hypothesis on the autoregressive parameter …). 'Likelihood analysis of a first-order autoregressive model with exponential innovations', Journal of Time Series Analysis, 24 …

Persistent link: https://www.econbiz.de/10009441481

Long-term survivor mixture model with random effects: application to a multi-centre clinical trial of carcinoma

Yau, KKW; Ng, ASK - 2001

A mixture model incorporating long-term survivors has been adopted in the field of biostatistics where some individuals may never experience the failure event under study. The surviving fractions may be considered as cured. In most applications, the survival times are assumed to be independent....

Persistent link: https://www.econbiz.de/10009448034

Approximate Maximum-Likelihood Estimation Of Circle Parameters Using A Phase-Coded Kernel

Zelniker, Emanuel; Clarkson, Ian Vaughan L. - 2004

exactly describe the Maximum Likelihood Estimator (MLE) in terms of convolution under a certain model for ideal images formed …

Persistent link: https://www.econbiz.de/10009448050

An evaluation of item difficulty and person ability estimation using the multilevel measurement model with short tests and small sample sizes

Beretvas, Susan Natasha (contributor) - 2011

Recently, researchers have reformulated Item Response Theory (IRT) models into multilevel models to evaluate clustered data appropriately. Using a multilevel model to obtain item difficulty and person ability parameter estimates that correspond directly with IRT models’ parameters is often...

Persistent link: https://www.econbiz.de/10009429290

Effects of sample size, ability distribution, and the length of Markov Chain Monte Carlo burn-in chains on the estimation of item and testlet parameters

Dodd, Barbara Glenzing (contributor) - 2011

Item Response Theory (IRT) models are the basis of modern educational measurement. In order to increase testing efficiency, modern tests make ample use of groups of questions associated with a single stimulus (testlets). This violates the IRT assumption of local independence. However, a set of...

Persistent link: https://www.econbiz.de/10009429369

The Strength of Multidimensional Item Response Theory in Exploring Construct Space that is Multidimensional and Correlated

Spencer, Steven Gerry 1965- - 2004

This dissertation compares the parameter estimates obtained from two item response theory (IRT) models: the 1-PL IRT model and the MC1-PL IRT model. Several scenarios were explored in which both unidimensional and multidimensional item-level and personal-level data were used to generate the item...

Persistent link: https://www.econbiz.de/10009456838

Augmented testing and effects on item and proficiency estimates in different calibration designs

Wall, Nathan Lane - 2011

investigated were five proficiency estimators: maximum likelihood estimates, expected a posteriori, maximum a posteriori, summed …

Persistent link: https://www.econbiz.de/10009466042