Admissible probability measurement procedures Export

@article{citeulike:2860131, abstract = {Abstract\ \ Admissible probability measurement procedures utilize scoring systems with a very special property that guarantees that any student, at whatever level of knowledge or skill, can maximize his expected score if and only if he honestly reflects his degree-of-belief probabilities. Section 1 introduces the notion of a scoring system with the reproducing property and derives the necessary and sufficient condition for the case of a test item with just two possible answers. A method is given for generating a virtually inexhaustible number of scoring systems, both symmetric and asymmetric, with the reproducing property. A negative result concerning the existence of a certain subclass of reproducing scoring systems for the case of more than two possible answers is obtained. Whereas Section 1 is concerned with those instances in which the possible answers to a query are stated in the test itself, Section 2 is concerned with those instances in which the student himself must provide the possible answer(s). In this case, it is shown that a certain minor modification of a scoring system with the reproducing property yields the desired admissible probability measurement procedure.}, author = {Shuford, Emir and Albert, Arthur and Edward}, citeulike-article-id = {2860131}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF02289503}, comment = {Via Buja et al. [2005] this is the earliest form of the Choquet representation for proper scoring rules. Assumes differentiability, a requirement removed by Schervish [1989]. }, day = {27}, doi = {10.1007/BF02289503}, journal = {Psychometrika}, keywords = {class\_probability\_estimation, integral\_representation, scoring\_rules}, month = {June}, number = {2}, pages = {125--145}, posted-at = {2008-06-04 01:14:59}, priority = {2}, title = {Admissible probability measurement procedures}, url = {http://dx.doi.org/10.1007/BF02289503}, volume = {31}, year = {1966} }

TY - JOUR ID - citeulike:2860131 L3 - citeulike-article-id:2860131 N2 - Abstract  Admissible probability measurement procedures utilize scoring systems with a very special property that guarantees that any student, at whatever level of knowledge or skill, can maximize his expected score if and only if he honestly reflects his degree-of-belief probabilities. Section 1 introduces the notion of a scoring system with the reproducing property and derives the necessary and sufficient condition for the case of a test item with just two possible answers. A method is given for generating a virtually inexhaustible number of scoring systems, both symmetric and asymmetric, with the reproducing property. A negative result concerning the existence of a certain subclass of reproducing scoring systems for the case of more than two possible answers is obtained. Whereas Section 1 is concerned with those instances in which the possible answers to a query are stated in the test itself, Section 2 is concerned with those instances in which the student himself must provide the possible answer(s). In this case, it is shown that a certain minor modification of a scoring system with the reproducing property yields the desired admissible probability measurement procedure. IS - 2 JF - Psychometrika EP - 145 TI - Admissible probability measurement procedures VL - 31 SP - 125 KW - class_probability_estimation KW - integral_representation KW - scoring_rules N1 - Via Buja et al. [2005] this is the earliest form of the Choquet representation for proper scoring rules. Assumes differentiability, a requirement removed by Schervish [1989]. AU - Shuford, Emir AU - Albert, Arthur AU - Edward PY - 1966/06/27/ UR - http://dx.doi.org/10.1007/BF02289503 ER -