## Applications of Item Response Theory to Practical Testing ProblemsFirst published in 1980. Routledge is an imprint of Taylor & Francis, an informa company. |

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### Contents

Test Scores and Ability Estimates | 44 |

on All Answer Sheets | 55 |

Information Functions and Optimal Scoring Weights | 65 |

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ability scale approximation asymptotic Chapter classical test theory compared compute conditional distribution confidence interval conventional test correct answers correlation cutting score denoted difficulty level distribution of ability effect error of measurement evaluation examinee's ability F. M. Lord flexilevel test frequency distribution given group of examinees group tested guessing information curves item administered item characteristic curve item difficulty item information function item parameters item response function item response theory item scores joint distribution likelihood function logistic function logistic model mastery test mathematical maximum likelihood estimator methods normally distributed number of items number-right score observed score obtained percentile practical proportion of correct random Rasch model regression relative efficiency routing test scoring weights second-stage tests Section standard error sufficient statistic Table tailored testing test characteristic curve test information function test items test score three-parameter logistic tion transformation true score true-score distribution true-score equating two-stage test values verbal test