Some uniqueness results for PARAFAC2

Whereas the unique axes properties of PARAFAC1 have been examined extensively, little is known about uniqueness properties for the PARAFAC2 model for covariance matrices. This paper is concerned with uniqueness in the rank two case of PARAFAC2. For this case, Harshman and Lundy have recently shown, subject to mild assumptions, that PARAFAC2 is unique when five (covariance) matrices are analyzed. In the present paper, this result is sharpened. PARAFAC2 is shown to be usually unique with four matrices. With three matrices it is not unique unless a certain additional assumption is introduced. If, for instance, the diagonal matrices of weights are constrained to be non-negative, three matrices are enough to have uniqueness in the rank two case of PARAFAC2. The authors are obliged to Richard Harshman for stimulating this research, and to the Associate Editor and reviewers for suggesting major improvements in the presentation.     

Expressed Emotion In The Narrative Context of Family Photographs

This study aims to elucidate cognitive and contextual aspects of the EE (Expressed Emotion) concept. The EE levels of both parents of two first admission psychotic patients were rated from the Five Minute Speech Sample (FMSS), and the emotional responses were further analyzed in narratives of family photographs. The attribution model was found to provide an explanatory framework for understanding relatives' expressed emotions (EE) toward a family member suffering from psychotic disturbances. Four case reports indicated that family photographs induced parents to create narratives in which emotions, attributions, and strategies for coping with stressful aspects of the illness came forward as intertwined phenomena. The method can offer more comprehensive data for intervention strategies aiming to alter the prevailing atmosphere and interaction patterns within the high EE family.     

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.     

Factor structure of the basic personality inventory with incarcerated offenders

The item and scale factor structure of the Basic Personality Inventory (BPI) was examined in a sample of 486 offenders incarcerated for violent and sexual crimes. Separate principal-component analyses of the items for each of the 11 clinical scales, critical item scale, and social desirability scale indicated a one-dimensional factor solution for all scales except Depression and Persecutory Ideation. The Depression scale's two factors were Hopelessness and Depressive Affect and the Persecutory Ideation scale's two factors were General Paranoia and Perception of External Control. Although the factors for these two scales may assist in interpretation, the correlations between the factors and the total score of their respective scale were high. Confirmatory factor analysis of the 220 items from the 11 clinical scales supported the factorial logic of the scoring key. Analysis of the 11 clinical scales resulted in two factors: General Psychopathology/Adjustment and Antisocial Orientation. The results suggest that all but two scales can be viewed as unidimensional thereby allowing for a straightforward clinical interpretation. These analyses support the internal structure of the BPI and lend credence to external validity work with forensic populations.     

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.     

Increasing senior citizen participation in a community-based nutritious meal program

Two experiments were conducted to compare the effects of several prompting and reinforcement procedures on the participation of elderly citizens in a nutritious meal program. Experiment I employed a variation of the multiple-baseline design across three groups of approximately 60 households each. Elderly persons not previously participating in the program were introduced to the following conditions: (1) public service radio announcements for four weeks to advertise the meal program and the availability of free transportation, (2) a home visit that served as a personal invitation and a second prompt for participation, (3) a followup telephone call, and (4) an incentive menu for participation, which was sent through the mail. Results indicated that the home visits and incentives were both effective as recruitment procedures and superior to other conditions; however, incentives proved to be the most cost-effective intervention. Experiment II used a variation of the multi-element design to compare the effects of scheduled activities and incentives in maintaining higher levels of participation by those persons who had attended the meal program at least once in the past, but whose current rate of participation was low. Results showed that activities improved attendance levels somewhat and that incentives substantially increased the number of meal program participants. Data from these experiments thus indicate that relatively inexpensive procedures may be used effectively to increase the extent to which elderly persons make use of potentially beneficial community-based services.     

Police evaluation research: an experimental and cost-benefit analysis of a helicopter patrol in a high crime area

The significance of a helicopter patrol procedure directed toward prevention of home burglaries was evaluated from experimental and cost-benefit perspectives. The helicopter patrolled one city zone from 9 a.m. to 5 p.m. for two 12-day periods. Each 12-day period was separated by a baseline period in which only normal patrol-car levels were maintained. Significantly reduced burglary levels during the intervention periods, compared to baseline periods, documented the experimental significance of the helicopter procedure. The cash costs of implementing the patrol procedure were compared to two estimates of the resulting cash benefits. This latter cost-benefit analysis was supplemented by a discussion of the intangible costs and benefits of the helicopter procedure. Taken together, these analyses documented that the marginal costs of the helicopter intervention were exceeded by all estimates of benefits.     

Stability criteria

Three approaches to the determination of behavioral stability were examined. In the first, a learning curve was fit to acquisition data (from Cumming and Schoenfeld, 1960), and the “experiment” stopped when the data approached sufficiently close to the theoretical asymptote. In the second, the data were analyzed for variability and linear and quadratic trend. In the third, the experiment was stopped when the magnitude of the daily changes in the data fell below a criterion. Accuracy was measured as deviation between the average value of the dependent variable when the experiment was stopped, and the average value over the last 100 sessions. The first approach was most accurate, but at the cost of requiring the most sessions and being the most difficult to apply. Both the second and third approaches provided acceptable criteria with a reasonable cost-accuracy tradeoff. The second approach permits a continuous adjustment of the criteria to accommodate the variability intrinsic in the experimental paradigm. The third, nomothetic, approach also takes into account the decreasing marginal utility of extended training sessions.     

The effect of additional variables on factor indeterminacy in models with a single common factor

Determinate solutions for the indeterminate common factor ofp variables satisfying the single common factor model are not unique. Therefore an infinite sequence of additional variables that conform jointly with the originalp variables to the original single common factor model does not determine a unique solution for the indeterminate factor of thep variables (although the solution is unique for the factor of the infinite sequence). Other infinite sequences may be found to determine different solutions for the factor of the originalp variables. The paper discusses a number of theorems about the effects of additional variables on factor indeterminacy in a model with a single common factor and draws conclusions from them for factor theory in general.