One employs the mathematical analysis of decision making when the state of nature is uncertain but further information about it can be obtained by experimentation. Bayesian Decision Theory concerns practical problems of decision making under conditions of uncertainty and also requires the use of statistical and mathematical methods.In this thesis, some basic risk sharing and group decision concepts are provided. Risk is the expected value of the Loss Function of Bayesian Estimators. Group decisions consider situations in which the individuals need to agree both on utilities for consequences and on conditional probability assessments for different experimental outcomes. / Department of Mathematical Sciences

The broad aim of this research was to investigate group work in schools with friends and acquaintances. More specifically, the study sought to identify motivational factors that may underlie students' attitudes and behaviours when working in these contexts. Independent and interdependent self-construal, and self-efficacy for group work, were identified as variables that may be important for working in friendship and acquaintance groups. The participants were Year 10 and Year 11 students from secondary schools in the metropolitan area of Sydney, Australia. Data collection was carried out in three phases, the first two were survey-based, and the third was a mixed-methods study. In phase 1, participants (N = 188) attended two Independent schools. The main data analyses comprised exploratory factor analysis and multiple regression analysis. In phase 2, the participants (N = 583) attended nine randomly selected public schools. Data analysis was carried out using confirmatory factor analysis and structural equation modelling. In phase 3, participants (N = 38), attended two randomly selected public schools. In this phase, survey, observational and interview data were collected and analysed. The observational analysis centred on how students in friendship and acquaintance groups interacted whilst working on a group problem-solving activity. The interviews focused on students' experiences in the group problem-solving activity and their general perceptions, beliefs, and feelings about group work with friends and acquaintances. Group performance in the problem-solving activity was measured. Two results seemed particularly important. First, was the suggestion that self-efficacy for being receptive to the ideas of others and- self-efficacy for group facilitation in the friendship context may "flow-on" to corresponding self-efficacy beliefs in the acquaintance context. Second, interdependent and independent self, and self-efficacy for group work, were identified as important variables with regard to students' attitudes and behaviours in friendship and acquaintance groups. From a theoretical perspective the focus in this research on self-beliefs represents a relatively new way of studying group work with friends and acquaintances. From a practical perspective, the findings from the research should provide direction for teachers when they make decisions about how to organize students into groups for the purposes of learning.

Thesis (M.A.)--University of Toronto, 2004.

Thesis (Ph. D.)--University of Washington, 2004. / Vita. Includes bibliographical references (leaves 153-161).

Thesis (M.P.A.)--University of Hong Kong, 1992.

Thesis (Ph. D.)--West Virginia University, 2000. / Title from document title page. Document formatted into pages; contains vii, 100 p. Includes abstract. Includes bibliographical references (p. 62-74).

Thesis (M.A.)--Carleton University, 1992. / Also available in electronic format on the Internet.

Thesis (Ph. D.)--University of Iowa, 1991. / Includes bibliographical references (p. 158-164).

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 101-108).

It is hypothesized that group treatment may be more effective than an individual treatment format. The purpose of this study was to address several deficiencies of previous research in contrasting group and individual treatment delivery formats and to assess the differential effectiveness of these two formats. The treatment area chosen was that of early problem drinker treatment as it was relatively easy to control treatment content across treatment formats since detailed content manuals and theory have been well developed in this area. Subjects were selected from those respondents to a media advertisement who passed several screening criteria and were alternately assigned to a group or individual format. A lack of the requisite number of subjects required some specific design changes. Each treatment condition was given a structured eight-week treatment program of once per week meetings of seventy-five minutes each or a wait-list control condition. Statistical contrasts were then performed on the following variables: total drink units per week, maximum drink units per day, Profile of Mood States -a measure of current affective state, Weissman Social Adjustment Scale - a measure of social functioning level, and a general problem checklist. Data units were gathered pre-treatment, weekly during treatment for drink units, at post-treatment follow-up, and at six months following the end of treatment. The other data were gathered pre-treatment, post-treatment, and at the six-month follow-up. Results of the data manipulations indicated that the treatment intervention was associated with greater improvement on alcohol consumptions than a wait-list control group, but that group treatment was not associated with greater treatment gains than the individual format on any measures. These results are given to be tentative given several major limitations of this study which are discussed. The research was found to be relevant in the area of treatment planning, and is interpreted as providing a more theoretically meaningful contrast of the two formats than previously achieved due to greater experimental control of possibly confounding variables. A useful initial test was performed of a treatment program developed for this study which shows promise for helping problem drinkers. It is also suggested that this research provides some important conclusions for the contrast of group and individual formats in psychological interventions generally. Future directions are suggested. / Education, Faculty of / Educational and Counselling Psychology, and Special Education (ECPS), Department of / Graduate