## Adaptive mastery testing using the Rasch model and Bayesian sequential decision theory |

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### Contents

Executive Summary | 1 |

Performance of Sequential and Adaptive Sequential Mastery Testing | 8 |

Discussion | 15 |

Copyright | |

### Common terms and phrases

0.10,1,000 replications Proportion 20 1 cutting 20 1 sequential 20 fixed test adaptive item selection adaptive mastery testing adaptive sequential mastery adaptive testing Bayesian sequential decision combination of Bayesian computed correct decisions Correct Testlets Mean cutting point 91 Decisions Given Loss elementary symmetric functions expected risk exponential family Hambleton info 87 item parameters item response theory item selection method Items Per Selection max info 91 mean loss Mean Testlets Testlet method and loss Method Decisions Given number of correct Number of Items number of simulation number of testlets optimal test p-value pattern ys proportion of correct proportion of testlets Proportion Proportion Number Rasch model Relation between selection replications Proportion Proportion Selection Correct Testlets sequential 90 sequential decision theory sequential mastery testing simulation studies SMT and ASMT standard errors standard normal distribution sufficient statistic test length Testlet Method Decisions Testlets Mean Testlets Testlets Testlet Method true ability variable-length mastery testing variance 91