Bush, Robert R.
Overview
Works:  38 works in 189 publications in 4 languages and 2,658 library holdings 

Roles:  Editor, Author, Other 
Classifications:  BF39, 150.151 
Publication Timeline
.
Most widely held works by
Robert R Bush
Handbook of mathematical psychology by
R. Duncan Luce(
Book
)
in English and held by 870 WorldCat member libraries worldwide
in English and held by 870 WorldCat member libraries worldwide
Stochastic models for learning by
Robert R Bush(
Book
)
30 editions published between 1955 and 2014 in 3 languages and held by 541 WorldCat member libraries worldwide
"The object of this book is to contribute to the study of learningone of the many fields of psychology. A possible probabilistic framework or model for analyzing data from a variety of experiments on animal and human learning is presented. This model is described in general terms and is applied to a number of experiments. The stress is on the viewpoint that learning is probabilistic or stochasticthat events change the probabilities of the various responses. The book is divided into two main parts. The first presents the general model, describes many of its formal properties, and considers a number of special cases. The second part applies the model to a number of experiments on learning and treats the statistical problems of estimating parameters and measuring goodness of fit. The mathematics used is given in detail in an elementary manner. Serious mathematical difficulties are avoided by Monte Carlo or statrat trials that simulate learning experiments by means of routines based on random numbers. Statrat trials facilitate the comparison of actual observations with the model. Several special tables will help the reader apply the model to his own experiments"Jacket. (PsycINFO Database Record (c) 2014 APA, all rights reserved)
30 editions published between 1955 and 2014 in 3 languages and held by 541 WorldCat member libraries worldwide
"The object of this book is to contribute to the study of learningone of the many fields of psychology. A possible probabilistic framework or model for analyzing data from a variety of experiments on animal and human learning is presented. This model is described in general terms and is applied to a number of experiments. The stress is on the viewpoint that learning is probabilistic or stochasticthat events change the probabilities of the various responses. The book is divided into two main parts. The first presents the general model, describes many of its formal properties, and considers a number of special cases. The second part applies the model to a number of experiments on learning and treats the statistical problems of estimating parameters and measuring goodness of fit. The mathematics used is given in detail in an elementary manner. Serious mathematical difficulties are avoided by Monte Carlo or statrat trials that simulate learning experiments by means of routines based on random numbers. Statrat trials facilitate the comparison of actual observations with the model. Several special tables will help the reader apply the model to his own experiments"Jacket. (PsycINFO Database Record (c) 2014 APA, all rights reserved)
Studies in mathematical learning theory by
Robert R Bush(
Book
)
23 editions published between 1959 and 1968 in 3 languages and held by 468 WorldCat member libraries worldwide
23 editions published between 1959 and 1968 in 3 languages and held by 468 WorldCat member libraries worldwide
Handbook of mathematical psychology by
R. Duncan Luce(
Book
)
62 editions published between 1963 and 1967 in 3 languages and held by 190 WorldCat member libraries worldwide
62 editions published between 1963 and 1967 in 3 languages and held by 190 WorldCat member libraries worldwide
Developments in mathematical psychology; information, learning, and tracking. A study of the Behavioral Models Project, Bureau
of Applied Social Research, Columbia University by
R. Duncan Luce(
Book
)
9 editions published between 1960 and 1980 in English and held by 118 WorldCat member libraries worldwide
9 editions published between 1960 and 1980 in English and held by 118 WorldCat member libraries worldwide
Mathematics for psychologists : examples and problems by
Robert R Bush(
Book
)
10 editions published between 1954 and 2015 in English and held by 87 WorldCat member libraries worldwide
"One of the serious difficulties in teaching mathematics to social scientists is the lack of illustrative material from the substantive areas of social science. When a student or mature scholar in one of the social sciences systematically studies mathematics, it is almost always because he has felt a need for such knowledge in his own work. He is rarely interested in mathematics for its own sake; he is interested in social science applications. Furthermore, as in learning any language, the translation of words, concepts, and symbols into familiar terms is a useful pedagogic device. For these reasons, illustrative material with social science content or implications is an important part of mathematics courses for social scientists. But such material has not been available in appropriate form to teachers of such courses. Recognizing the need for illustrative material, the Committee on Mathematical Training of Social Scientists of the Social Science Research Council developed a rather extensive program for collecting this material. .As part of this program, the committee requested Robert R. Bush to organize a small project in the summer of 1954 to prepare illustrations of ways in which mathematics has been used in psychology. The present report is the result of that project. After considerable thought and discussion, the persons involved in this project decided that the greatest need was for short examples and problems rather than for lengthy expositions of mathematical models and theories. It was further decided to prepare illustrations that would supplement standard mathematical textbooks, but that would not replace any of their content. Thus, examples and problems were prepared as if this were the first step in rewriting mathematical texts for courses given to psychologists. It was considered both desirable and efficient to use specific texts as guides so that each example and problem could refer to a particular chapter and section. The mathematics texts used as guides were among those chosen for use in the 1955 Summer Institutes in Mathematics for Social Scientists, sponsored by the committee. These texts were selected by the staff of the similar institute held in 1953 (W. G. Madow, director, Robert R. Bush, Howard Raiffa, and Robert M. Thrall) to include the study of calculus, mathematical foundations, matrix algebra, and probability theory. Only portions of each volume were to be covered in the 1955 Summer Institutes, and the bulk of the illustrations prepared refer to those portions. Actually, no attempt was made to find psychological illustrations for all the sections of the several texts; only a fairly evenly distributed sample was considered feasible. Likewise, no attempt was made to make an exhaustive search of the psychological literature. A selection was made according to several criteria of usefulness for the purpose at hand; trivial uses of mathematics were ignored, and lengthy sophisticated mathematical papers were seldom used because of the difficulties in presenting brief adaptations. Three main areas of psychology are emphasized in the problems prepared, because these areas involve the greatest use of mathematics at the present time: (1) testing and measurement, (2) psychophysics and!physiological psychology, and (3) learning. However, a few examples and problems refer to research on small groups, sociometry, and related areas of social psychology"Introduction. (PsycINFO Database Record (c) 2015 APA, all rights reserved)
10 editions published between 1954 and 2015 in English and held by 87 WorldCat member libraries worldwide
"One of the serious difficulties in teaching mathematics to social scientists is the lack of illustrative material from the substantive areas of social science. When a student or mature scholar in one of the social sciences systematically studies mathematics, it is almost always because he has felt a need for such knowledge in his own work. He is rarely interested in mathematics for its own sake; he is interested in social science applications. Furthermore, as in learning any language, the translation of words, concepts, and symbols into familiar terms is a useful pedagogic device. For these reasons, illustrative material with social science content or implications is an important part of mathematics courses for social scientists. But such material has not been available in appropriate form to teachers of such courses. Recognizing the need for illustrative material, the Committee on Mathematical Training of Social Scientists of the Social Science Research Council developed a rather extensive program for collecting this material. .As part of this program, the committee requested Robert R. Bush to organize a small project in the summer of 1954 to prepare illustrations of ways in which mathematics has been used in psychology. The present report is the result of that project. After considerable thought and discussion, the persons involved in this project decided that the greatest need was for short examples and problems rather than for lengthy expositions of mathematical models and theories. It was further decided to prepare illustrations that would supplement standard mathematical textbooks, but that would not replace any of their content. Thus, examples and problems were prepared as if this were the first step in rewriting mathematical texts for courses given to psychologists. It was considered both desirable and efficient to use specific texts as guides so that each example and problem could refer to a particular chapter and section. The mathematics texts used as guides were among those chosen for use in the 1955 Summer Institutes in Mathematics for Social Scientists, sponsored by the committee. These texts were selected by the staff of the similar institute held in 1953 (W. G. Madow, director, Robert R. Bush, Howard Raiffa, and Robert M. Thrall) to include the study of calculus, mathematical foundations, matrix algebra, and probability theory. Only portions of each volume were to be covered in the 1955 Summer Institutes, and the bulk of the illustrations prepared refer to those portions. Actually, no attempt was made to find psychological illustrations for all the sections of the several texts; only a fairly evenly distributed sample was considered feasible. Likewise, no attempt was made to make an exhaustive search of the psychological literature. A selection was made according to several criteria of usefulness for the purpose at hand; trivial uses of mathematics were ignored, and lengthy sophisticated mathematical papers were seldom used because of the difficulties in presenting brief adaptations. Three main areas of psychology are emphasized in the problems prepared, because these areas involve the greatest use of mathematics at the present time: (1) testing and measurement, (2) psychophysics and!physiological psychology, and (3) learning. However, a few examples and problems refer to research on small groups, sociometry, and related areas of social psychology"Introduction. (PsycINFO Database Record (c) 2015 APA, all rights reserved)
Selected quantitative techniques by
Frederick Mosteller(
Book
)
8 editions published between 1954 and 1970 in 3 languages and held by 50 WorldCat member libraries worldwide
8 editions published between 1954 and 1970 in 3 languages and held by 50 WorldCat member libraries worldwide
Readings in mathematical psychology(
Book
)
in English and held by 9 WorldCat member libraries worldwide
in English and held by 9 WorldCat member libraries worldwide
Readings in mathematical psychology by
R. Duncan Luce(
Book
)
6 editions published between 1963 and 1965 in English and Undetermined and held by 8 WorldCat member libraries worldwide
6 editions published between 1963 and 1965 in English and Undetermined and held by 8 WorldCat member libraries worldwide
Selected quantitative techniques and attitude measurement by
Frederick Mosteller(
Book
)
5 editions published in 1954 in English and held by 7 WorldCat member libraries worldwide
5 editions published in 1954 in English and held by 7 WorldCat member libraries worldwide
Readings in mathematical psychology by
R. Duncan Luce(
Book
)
3 editions published in 1963 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1963 in English and held by 7 WorldCat member libraries worldwide
Readings in mathematical psychology(
Book
)
2 editions published between 1963 and 1965 in English and held by 5 WorldCat member libraries worldwide
2 editions published between 1963 and 1965 in English and held by 5 WorldCat member libraries worldwide
Handbook of Mathematical psychology(
Book
)
1 edition published in 1963 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1963 in English and held by 3 WorldCat member libraries worldwide
Readings in mathematical psychology by
R. Duncan Luce(
Book
)
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
Handbook of mathematical psychology(
Book
)
2 editions published between 1963 and 1967 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1963 and 1967 in English and held by 2 WorldCat member libraries worldwide
Handbook of mathematical psychology / Vol. 23(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Handbook of mathematical psychology(
)
in Undetermined and English and held by 2 WorldCat member libraries worldwide
in Undetermined and English and held by 2 WorldCat member libraries worldwide
Some TMaze experiments by
Eugene Galanter(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Games in culture by John M Roberts(
)
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
A comparison of eight models by
Robert R Bush(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Luce, R. Duncan (Robert Duncan) Author Editor
 Galanter, Eugene Author Editor
 Mosteller, Frederick 19162006 Author
 Estes, William K. (William Kaye) Other Collector Editor
 Abelson, Robert P.
 Hyman, Ray
 Social Science Research Council (U.S.). Committee on Mathematical Training of Social Scientists
 Licklider, J. C. R.
 Columbia University Bureau of Applied Social Research
 Anderson, Norman H. Other Author
Associated Subjects
Attitude (Psychology) Human behaviorMathematical models Human information processingMathematical models Learning Learning, Psychology of Learning, Psychology ofMathematical models Mathematical statistics MathematicsStudy and teaching Probabilities PsychologyMathematical models Psychometrics Social psychology Social psychologyMathematical models Stochastic processes Tracking (Psychology)Mathematical models