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Classical Test Theory
(CTT; e.g., Linn, 1993; Finch and French, 2018) is arguably the first theory to treat test scores as scientific objects. This theory is fundamental...
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Test Data Engineering Latent Rank Analysis, Biclustering, and Bayesian Network
This is the first technical book that considers tests as public tools and examines how to engineer and process test data, extract the structure...
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Goodness of fit test for Rayleigh distribution with censored observations
We develop new goodness of fit tests for Rayleigh distribution based on fixed point characterization. We use U-Statistic theory to derive the test...
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Modified Likelihood Ratio Test
While achieving a profound understanding of the limiting distribution of the likelihood ratio test under mixture models is indeed a grand success,...
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Likelihood Ratio Test for Homogeneity
Despite the successful application of the C( \(\alpha \) )...
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Permutation test of tail dependence
We propose and analyze a permutation test of the tail dependence between two random variables whose marginal distributions are assumed to be known....
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Welch’s t test is more sensitive to real world violations of distributional assumptions than student’s t test but logistic regression is more robust than either
It has previously been pointed out that Student’s t test, which assumes that samples are drawn from populations with equal standard deviations, can...
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A two sample nonparametric test for variability via empirical likelihood methods
Comparison of variability or dispersion of two distributions is the major focus of this work. To this end, we consider a two sample testing problem...
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A Distribution - Free Goodness of Fit Test for Copula Model: An Application to Farlie–Gumbel–Morgernstern Copula
With the advent of the concept of ‘Big Data’, the past couple of decades have witnessed a substantial rise in the application of probability models...
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Inference and expected total test time for step-stress life test in the presence of complementary risks and incomplete data
The complementary risk is common and important in the engineering field. However, there is not much research about it because of its complex...
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The Significance Test Controversy Revisited
The significance test controversy is revisited in the light of Jeffreys’ views on the role of statistical inference in experimental investigations....
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em-Test for Univariate Finite Gaussian Mixture Models
While the success of the EM-test in the previous two chapters was confined to finite mixture models with subpopulation distributions belonging to a...
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Item Response Theory
Item response theory (IRT; e.g., Lord, 1980; Hambleton and Swaminathan, 1984; Toyoda, 2012; van der Linden, 2016) is the most popular statistical...
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Efficient Augmented Block Designs for Unreplicated Test Treatments Along with Replicated Controls
Augmented block designs for unreplicated test treatments are investigated under the A - and MV -criteria with respect to test versus test, control...
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Item Response Theory Modeling with Response Times: Some Issues
The increased prevalence of item response time (RT) data along with item responses has made applications of several joint item response theory (IRT)...
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Gradient boosting with extreme-value theory for wildfire prediction
This paper details the approach of the team Kohrrelation in the 2021 Extreme Value Analysis data challenge, dealing with the prediction of wildfire...
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Two-sample mean vector projection test in high-dimensional data
Statistical hypothesis testing for high-dimensional data poses challenges in recent inference. The Hotelling test is commonly applied to the...
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An algebraic theory of contrasts for Neyman’s modified chi-square statistic
The use of Pearson’s chi-square goodness of fit statistic is well established in the analysis of contingency tables. This statistic measures the...
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Modified Likelihood Ratio Test for Higher Order
Chapter 12 centers around the modified likelihood test for high-order null hypotheses within the finite mixture model. While the fundamental concept...