Assessing the stability of principal components using regression

This paper presents an analysis, based on simulation, of the stability of principal components. Stability is measured by the expectation of the absolute inner product of the sample principal component with the corresponding population component. A multiple regression model to predict stability is devised, calibrated, and tested using simulated Normal data. Results show that the model can provide useful predictions of individual principal component stability when working with correlation matrices. Further, the predictive validity of the model is tested against data simulated from three non-Normal distributions. The model predicted very well even when the data departed from normality, thus giving robustness to the proposed measure. Used in conjunction with other existing rules this measure will help the user in determining interpretability of principal components.The authors would like to thank the four anonymous reviewers and the two editors for their valuable comments. Atanu R. Sinha gratefully acknowledges the research support received from the Marketing Studies Center, AGSM, UCLA. Send requests for reprints to Atanu R. Sinha, B418 Gold Hall, 110 Westwood Plaza, Los Angeles, CA 90095.     

Cultural attitudes: in contexts of argumentation and explanation

Traditionally, attitudes are supposed to predict behavior. However, due to their poor performance, we are sometimes advised to abandon the notion. The present study attempts to preserve the concept but takes attitudes to be evaluative goals accomplished through interactional, especially argumentative and explanatory activities. The paper uses reasoned-discourse analysis and demonstrates the attainment of positive attitudes towards the Dutch by expatriate Chinese intellectuals in the Netherlands by attending to a variety of argumentative and explanatory strategies in their interview talk. Results suggest that there is good empirical reason to believe that attitudes are accomplishments of communicating actors' rhetorical contextualizations.     

Psychological and educational characteristics of instruction for people with severe disabilities: Interacting systems of responding

This paper presents a behavioral model which proposes that operants are organized and regulated into systems of responding. Multi-operant theory proposes that operants are organized into response systems that interact to adapt behavior to the complexities of the environment. The operant is the interaction between behavior and the environment which includes the conditions under which responses may occur, the class of behavior that is likely to be effective in producing outcomes, and the antecedent conditions that define the context of behavior. A central feature of this theory is that operants within a repertoire are organized into regulated systems of responding. The mechanisms of regulation are themselves operants that are learned and controlled by processes that are the same as those that govern more overt behavior. Operants stand in relationship to each other in coordinated response systems with some operants directly affecting and organizing the performance of other operants. An important implication of the systemic nature of behavioral repertoires is that bringing some aspect of a behavior class under control of new variables may demonstrate a spread throughout the entire operant system depending on past histories linking the classes.deceased     

Towards reflexive practice: Engaging participants as co-researchers or co-analysts in psychological inquiry

This paper considers some of the implications of reflexivity for the practice of psychological research. After a brief consideration of the theoretical background to a concern with reflexivity, the paper goes on to examine how various researchers have attempted to incorporate components of reflexivity in their research practice. While a group of sociologists of science have operationalized reflexivity by self-conscious concern for their own role in the construction of social—scientific knowledge, new paradigm co-operative inquirers interpret a need for reflexivity by including their participants as fully self-reflexive co-researchers. Mulkay's suggestion for a dialogic analytical exchange with one's participants is also considered. The second half of the paper illustrates an attempt at reflexive practice in the authors' own research. This was a project concerned with identity change during the transition to motherhood, and aimed to allow the women a strong hand in helping to shape the project's direction. Preliminary analysis of a woman's data was taken back to her for her comments, and her reflections on the data were incorporated in the final case study. A detailed example of the investigator and participant's discussion of a piece of data is provided.     

Internet resources in applied behavior analysis

Internet communication is becoming an important tool for both academic and clinical areas in psychology and behavior analysis. The Internet, a confederation of thousands of computer systems covering the entire globe (Plaud, 1996b), can significantly enhance behavior analysis in at least three major areas: (a) information exchange and communication among behavior analysts through list servers, (b) dissemination of empirical data and commentary through on-line journals and information servers, and (c) promotion of programs and services in behavior analysis. This commentary provides specific examples in each of these areas and addresses the basics of connecting to the Internet.     

Decompositions and biplots in three-way correspondence analysis

In this paper correspondence analysis for three-way contingency tables is presented using three-way generalisations of the singular value decomposition. It is shown that in combination with Lancaster's (1951) additive decomposition of interactions in three-way tables, a detailed analysis is possible of the deviations from independence. Finally, biplots are shown to produce powerful graphical representations of the results from three-way correspondence analyses. An example from child development is used to illustrate the theoretical developments.     

ASSESSMENT AND TREATMENT OF DESTRUCTIVE BEHAVIOR MAINTAINED BY STEREOTYPIC OBJECT MANIPULATION

In the current investigation, 2 participants with mental retardation displayed property destruction and stereotypy, and both responses involved the same materials (e.g., breaking and tapping plastic objects). Three experiments were conducted (a) to indirectly assess the functions of these two responses, (b) to determine their relation to one another, and (c) to develop a treatment to reduce the more serious behavior, property destruction. In Experiment 1, previously destroyed materials were either present or absent, and their presence reduced property destruction but not stereotypy. In Experiment 2, matched toys (ones that produced sensory stimulation similar to stereotypy) were either present or absent, or were replaced by unmatched toys (for 1 participant). Matched toys produced large reductions and unmatched toys produced small reductions in property destruction and stereotypy. In Experiment 3, attempts to pick up undestroyed objects were either blocked or not blocked while matched toys were continuously available. Response blocking reduced property destruction (and attempts), prevented stereotypy, and increased manipulation of matched toys. These results suggest that the two aberrant responses formed a chain (e.g., breaking and then tapping the object), which was maintained by the sensory consequences (e.g., auditory stimulation) of the terminal response, and that previously destroyed material or matched toys made the initial response (property destruction) unnecessary.     

How much woe when we go: A quantitative method for predicting culture shock

Culture shock is defined as the confusion and discomfort caused by the conflict in perceived motives and expected behaviors between the home culture and the foreign culture. Several quantitative and graphical methods employing techniques of cluster analysis and similarity mapping are offered for predicting the magnitude of culture shock between pairs of countries using data extracted from Hofstede's 1980–83 studies of national cultural values. Implications for business, politics, and personal stress management are discussed.