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心理学与教育中的统计推理AI 解读

Partial table of contents: Preliminary Concepts Frequency Distributions, Percentiles, and Percentile Ranks Central Tendency Variability The Normal Curve Derived Scores Correlation Prediction Interpretive Aspects of Correlation and Regression Probability The Basis of Statistical Inference Further Considerations in Hypothesis Testing Testing Hypotheses About the Difference Between Two Independent Means Testing Hypotheses About the Difference Between Two Dependent Means Power…

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错误知识模型下选择题评分的经验贝叶斯方法AI 解读

This article develops multiple-choice test scoring rules, concentrating on Bayes rules and their frequency theory analogs, empirical Bayes rules. Conditions are given for empirical Bayes estimates to lie in the probability simplex. The misinformation model is considered in detail. It is shown that ranking by raw scores is equivalent to ranking by Bayes scores when the loss function increases with error and the sampling distribution has the monotone likelihood ratio property.…

错误认知模型下多项选择题评分的经验贝叶斯方法AI 解读

This article develops multiple-choice test scoring rules, concentrating on Bayes rules and their frequency theory analogs, empirical Bayes rules. Conditions are given for empirical Bayes estimates to lie in the probability simplex. The misinformation model is considered in detail. It is shown that ranking by raw scores is equivalent to ranking by Bayes scores when the loss function increases with error and the sampling distribution has the monotone likelihood ratio property.…

具有随机进入与退出的马尔可夫链推断AI 解读

Models suitable for statistical inference in Markov chains are considered featuring various forms of stochastic entry, including Poisson, renewable binomial pool, uncertain pool size, negative binomial, and input-output reservoir. A parallel inactive states model is suggested for exit. Maximum likelihood estimates are obtained and likelihood ratio tests derived. An application is made to the distribution of Ninth Federal Reserve District member banks with respect to the…

具有随机进入与退出机制的马尔可夫链推断AI 解读

Models suitable for statistical inference in Markov chains are considered featuring various forms of stochastic entry, including Poisson, renewable binomial pool, uncertain pool size, negative binomial, and input-output reservoir. A parallel inactive states model is suggested for exit. Maximum likelihood estimates are obtained and likelihood ratio tests derived. An application is made to the distribution of Ninth Federal Reserve District member banks with respect to the…