Fundamentals of Item Response Theory
By using familiar concepts from classical measurement methods and basic statistics, this book introduces the basics of item response theory (IRT) and explains the application of IRT methods to problems in test construction, identification of potentially biased test items, test equating and computerized-adaptive testing. The book also includes a thorough discussion of alternative procedures for estimating IRT parameters and concludes with an exploration of new directions in IRT research and development.
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ability estimates ability parameters adaptive testing administered analysis answering applications approach appropriate assessing assumed assumption chapter classical common items compared comparison considered constructed correlation corresponding cut-off defined described determine developed difficulty discrimination distribution Educational equating error examinee's example expected Figure follows given groups of examinees Hambleton hence ICCs important independence indices information function interest invariance IRT models item and ability item bank item characteristic item difficulty item parameter estimates item response model item response theory Journal of Educational known likelihood function linear Lord maximum likelihood mean measurement methods minority observed obtained one-parameter model performance placed Plot possible practice probability problem procedure range relationship Research respectively sample scale selection shows simulated standard standard error statistic success Swaminathan Table test data test items test scores three-parameter model transformation two-parameter model values