Difference between revisions of "Store:QLMen11"

Line 1: Line 1:
===6.2. Response replicability effect for sequential questioning===
===6.2. Response replicability effect for sequential questioning===
The approach based on identification of the order effect with noncommutative representation of questions (Wang and Busemeyer, 2013)<ref>Wang Z., Busemeyer J.R. A quantum question order model supported by empirical tests of an a priori and precise prediction.Top. Cogn. Sci., 5 (2013), pp. 689-710</ref> was criticized in paper (Khrennikov et al., 2014).<ref name=":0">Khrennikov A., Basieva I., DzhafarovE.N., Busemeyer J.R. Quantum models for psychological measurements: An unsolved problem. PLoS One, 9 (2014), Article e110909</ref> To discuss this paper, we recall the notion of ''response replicability.'' Suppose that a person, say John, is asked some question <math>A</math> and suppose that he replies, e.g, “yes”. If immediately after this, he is asked the same question again, then he replies “yes” with probability one. We call this property <math>A-A</math> ''response replicability.'' In quantum physics,  <math>A-A</math> response replicability is expressed by ''the projection postulate.''The Clinton–Gore opinion poll as well as typical decision making experiments satisfy <math>A-A</math> response replicability. Decision making has also another feature -  <math>A-A</math>''response replicability.'' Suppose that after answering the <math>A</math>-question with say the “yes”-answer, John is asked another question  <math>B</math>. He replied to it with some answer. And then he is asked <math>A</math> again. In the aforementioned social opinion pool, John repeats her original answer to <math>A</math>, “yes” (with probability one).  
The approach based on identification of the order effect with noncommutative representation of questions (Wang and Busemeyer, 2013)<ref>Wang Z., Busemeyer J.R. A quantum question order model supported by empirical tests of an a priori and precise prediction.Top. Cogn. Sci., 5 (2013), pp. 689-710</ref> was criticized in paper (Khrennikov et al., 2014).<ref name=":Khrennikov A., Basieva I., Dzhafarov E.N., Busemeyer J.R. Quantum models for psychological measurements: An unsolved problem PLoS One, 9 (2014), Article e110909">Khrennikov A., Basieva I., DzhafarovE.N., Busemeyer J.R. Quantum models for psychological measurements: An unsolved problem. PLoS One, 9 (2014), Article e110909</ref> To discuss this paper, we recall the notion of ''response replicability.'' Suppose that a person, say John, is asked some question <math>A</math> and suppose that he replies, e.g, “yes”. If immediately after this, he is asked the same question again, then he replies “yes” with probability one. We call this property <math>A-A</math> ''response replicability.'' In quantum physics,  <math>A-A</math> response replicability is expressed by ''the projection postulate.''The Clinton–Gore opinion poll as well as typical decision making experiments satisfy <math>A-A</math> response replicability. Decision making has also another feature -  <math>A-A</math>''response replicability.'' Suppose that after answering the <math>A</math>-question with say the “yes”-answer, John is asked another question  <math>B</math>. He replied to it with some answer. And then he is asked <math>A</math> again. In the aforementioned social opinion pool, John repeats her original answer to <math>A</math>, “yes” (with probability one).  


This behavioral phenomenon we call <math>A-B-A</math> response replicability. Combination of  <math>A-A</math> with  <math>A-B-A</math> and <math>B-A-B</math> response replicability is called ''the response replicability effect'' RRE.
This behavioral phenomenon we call <math>A-B-A</math> response replicability. Combination of  <math>A-A</math> with  <math>A-B-A</math> and <math>B-A-B</math> response replicability is called ''the response replicability effect'' RRE.


===6.3. “QOE+RRE”: described by quantum instruments of non-projective type===
===6.3. “QOE+RRE”: described by quantum instruments of non-projective type===
Editor, Editors, USER, admin, Bureaucrats, Check users, dev, editor, founder, Interface administrators, oversight, Suppressors, Administrators, translator
10,784

edits