A General Family of Limited Information Goodness-of-Fit Statistics for Multinomial Data

Maydeu-Olivares and Joe (J. Am. Stat. Assoc. 100:1009–1020, 2005; Psychometrika 71:713–732, 2006) introduced classes of chi-square tests for (sparse) multidimensional multinomial data based on low-order marginal proportions. Our extension provides general conditions under which quadratic forms in linear functions of cell residuals are asymptotically chi-square. The new statistics need not be based on margins, and can be used for one-dimensional multinomials. We also provide theory that explains why limited information statistics have good power, regardless of sparseness. We show how quadratic-form statistics can be constructed that are more powerful than X ² and yet, have approximate chi-square null distribution in finite samples with large models. Examples with models for truncated count data and binary item response data are used to illustrate the theory.     

Religious Involvement among Caribbean Blacks in the United States

This study examined demographic and denominational differences in religious involvement (i.e., organizational, non-organizational, subjective) among Caribbean Blacks (Black Caribbeans) residing in the U.S. using data from the National Survey of American Life. Caribbean Blacks who were born in the U.S. had lower levels of religious involvement than those who immigrated and respondents originating from Haiti (as compared to Jamaica) had higher levels of religious involvement, while persons from Trinidad-Tobago reported lower service attendance than did Jamaicans. Older persons, women and married persons generally demonstrated greater religious involvement than their counterparts, while highly educated respondents expressed lower levels of self-rated religiosity. Denominational differences indicated that Baptists reported high levels of religious involvement; however, in several cases, Pentecostals and Seventh Day Adventists reported greater involvement.     

Do Psychotherapists with Different Theoretical Orientations Stereotype or Prejudge Each Other?

This study investigates a possible threat to the progress of psychotherapy. It aims to detect and compare stereotyped or even prejudiced views among psychotherapists of different theoretical orientations, building on social psychological theory of in-groups and out-groups. Swedish psychotherapists (n = 416) of four different orientations (psychodynamic, cognitive, behavioural, or integrative/eclectic) used the valuable elements in psychotherapy questionnaire to rate the importance of various elements in psychotherapy. They also estimated how therapists of other orientations would rate these elements. These estimates were then compared with therapists’ actual self-ratings in order to detect patterns of stereotyping or prejudiced views. Psychotherapists exaggerate the differences between their own and other orientations in a stereotyped way, but correctly predict what members of their own orientation (in-group) find important. However, they overestimate how important ‘orientation-typical features’ are to those of other orientations (out-group), indicating a clear tendency to stereotype. Overall, integrative/eclectic therapists’ estimates were less stereotyped than the estimates of therapists of other orientations. A somewhat unexpected finding was that cognitive and behavioural therapists seem more inclined towards stereotyping. The stereotyped views of other theoretical orientations among psychotherapists can be argued to have negative connotations and may thus be seen as prejudices. These prejudices could create irrational and unnecessary obstacles to the development of both the science and the practice of psychotherapy and signal the need for psychotherapists of all orientations to develop a more balanced picture of each other.     

Assessing Approximate Fit in Categorical Data Analysis

A family of Root Mean Square Error of Approximation (RMSEA) statistics is proposed for assessing the goodness of approximation in discrete multivariate analysis with applications to item response theory (IRT) models. The family includes RMSEAs to assess the approximation up to any level of association of the discrete variables. Two members of this family are RMSEA₂, which uses up to bivariate moments, and the full information RMSEA_n. The RMSEA₂ is estimated using the M₂ statistic of Maydeu-Olivares and Joe (2005, 2006), whereas for maximum likelihood estimation, RMSEA_n is estimated using Pearson's X² statistic. Using IRT models, we provide cutoff criteria of adequate, good, and excellent fit using the RMSEA₂. When the data are ordinal, we find a strong linear relationship between the RMSEA₂ and the Standardized Root Mean Squared Residual goodness-of-fit index. We are unable to offer cutoff criteria for the RMSEA_n as its population values decrease as the number of variables and categories increase.     

Training for paraprofessional counsellors: Evaluating the meaning and impact of a common factors approach

A group of 12 people participated in a short (40 hours) counselling training programme for paraprofessional counsellors, which emphasised the importance of common factors in accounting for therapeutic effectiveness. The general framework, language and skills of a brief, solution‐focused approach was used as a means of translating the theoretical/conceptual ideas of the common factors model into specific counsellor behaviours and also to provide structure and focus for counselling sessions. A pluralist methodology was employed to assess the personal meaning of the training for participants and the impact of the training on the development of counselling skills and awareness. Results indicated the training impacted positively on the development of counselling skills and ability to handle difficult client behaviours but less so on personal values and ability to deal with process issues. The majority of participants believed the training contributed positively toward their personal development.     

In Defense of the Ideal of a Life Plan

Aristotle claims at Eudemian Ethics 1.2 that everyone who can live according to his own choice should adopt some goal for the good life, which he will keep in view in all his actions, for not to have done so is a sign of folly. This is an opinion shared by other ancients as well as some moderns. Others believe, however, that this view is false to the human condition, and provide a number of objections: (1) you can't plan love; (2) nor life's surprises; (3) planning a whole life is of no use since the world changes too much; (4) as do our values; and (5) planning a life is something only dreary people would do. The aim of this paper is to examine these objections, as part of a broader attempt to defend the relevance of a eudaimonistic approach to the question of how to live well.