A Uniform Approach for Characterizing the Provably Total Number-Theoretic Functions of KPM and (Some of) its Subsystems

In this article we show how to extract with the use of the Buchholz-Cichon-Weiermann approach to subrecursive hierarchies from Rathjen's 1991 ordinal analysis of KPM a characterization of the provably total number-theoretic functions of KPM and some of its (most prominent) subsystems in a uniform and direct way.     

Effects of session duration on functional analysis outcomes.

We examined the extent to which variations in session duration affected the outcomes of functional analyses. Forty-six individuals, all diagnosed with mental retardation and referred for assessment and treatment of self-injurious or aggressive behavior, participated in functional analyses, consisting of repeated exposure to multiple test conditions during 15-min sessions. For each set of assessment data, new data sets based on session durations of 10 and 5 min were prepared by deleting data from the last 5 and 10 min, respectively, of each session. Each graph (N = 138) was then reviewed individually by graduate students who had previous experience conducting and interpreting functional analyses, but who were blind to both participant identity and session duration. Interpretations of behavioral function based on the 10- and 5-min data sets were then compared with those based on the 15-min data sets. All of the 10-min data sets yielded interpretations identical to those based on 15-min data sets. Interpretations based on the 5-min and 15-min data sets yielded three discrepancies, all of which were the result of increased response rates toward the latter parts of sessions. These results suggest that the efficiency of assessment might be improved with little or no loss in clarity by simply reducing the duration of assessment sessions.     

A case study of behavioral assessment and treatment of insect phobia

We assessed the academic performance of a 14-year-old boy with insect phobia in the context of feared stimuli. The dependent measure was math calculation rate across three conditions that varied therapist statements about the presence of crickets and the actual presence of live crickets. Subsequent treatment consisted of graduated exposure and contingent rewards for math problem completion. Assessment results indicated that the boy's performance was consistently low in the presence of live crickets but not when he was spuriously informed that crickets were present (the primary referral concern). Treatment results indicated no effect from exposure alone and a dramatic effect when exposure was combined with contingent rewards.     

On the relation between object manipulation and stereotypic self-injurious behavior

Results from a number of studies have shown an inverse relationship between stereotypic behavior and object manipulation. The purposes of this study were to determine whether techniques similar to those used previously (prompting and reinforcement) would be effective in increasing object manipulation under both prompted and unprompted conditions, and to ascertain whether increases in object manipulation would result in decreases in stereotypic self-injurious behavior (SIB). Two individuals with developmental disabilities who engaged in SIB maintained by automatic reinforcement participated. Results showed that object manipulation increased from baseline levels when experimenters prompted participants to manipulate leisure items, but that object manipulation was not maintained under unprompted conditions, and rates of SIB stayed within baseline levels. We then attempted to increase object manipulation further by (a) reinforcing object manipulation, (b) blocking SIB while reinforcing manipulation, and (c) preventing SIB by applying protective equipment while reinforcing object manipulation. Reinforcing object manipulation alone did not affect levels of object manipulation. Blocking effectively reduced attempts to engage in SIB for 1 participant but produced no increase in object manipulation. When the 2nd participant was prevented from engaging in SIB through the use of protective equipment, rates of object manipulation increased dramatically but were not maintained when the equipment was removed. These results suggest that stimulation derived from object manipulation, even when supplemented with arbitrary reinforcement, may not compete with stimulation produced by stereotypic SIB; therefore, direct interventions to reduce SIB are required.     

Well I May Be Exaggerating But Self-Qualifying Clauses in Negotiation of Opinions Among Japanese Speakers

The present study investigates the ways in which Japanese speakers negotiate their opinions in conversational interaction. On the one hand, speakers are apt to exaggerate a particular aspect of a given issue in asserting their opinion, on the other hand, they may also incorporate a self-qualification admitting a potential problem in their claim. By expressing their awareness of the problem before it is pointed out by the co-participants, the speakers seem to get license to proffer an exaggerated or overgeneralized claim and to increase their chance of receiving an affiliative response. This study explicates the mechanism through which such a self-qualifying clause emerges in the development of opinion-negotiation sequences. Further, as a contribution to a growing body of research on "interaction and grammar" (Ochs, Schegloff, and Thompson, 1996), this study explores the use of "contrastive" markers, -kedo and demo, in constructing turns and sequences in opinion-negotiation. The data demonstrate these two structurally different types of markers play distinct roles in differentiating and yet conjoining the speakers' assertion and self-qualification.     

Grammer and Social Interaction in Japanese and Anglo-American English: The Display of Context, Social Identity and Social Relation

This paper employs conversation analysis to examine the inter-connection between grammar and displays of contextual understanding, social identity, and social relationships as well as other activities clustering around turn-endings in Japanese talk-in-interaction, while undertaking a restricted comparison with the realisation of similar activities in English. A notable feature of turn-endings in Japanese is the particular salience of grammatical construction on the interactional activities they accomplish. Complete turns which are also syntactically complete are shown to be associated with the explicit display of contextual features, whereas syntactically incomplete turns are designed to circumvent or minimise such displays. The explicit or implicit display of one's social and contextual relationship to the interactional environment is therefore seen to be an integral part of the performance of social actions in Japanese. On the other hand, in English, it is more difficult to establish a clear association between grammar and the inclusion or avoidance of contextual displays.     

Introduction to Grammer and Interaction Papers

The present study reports on the use of a linguistic category "interrogative," which has been traditionally associated with the act of questioning, and its use in argument talk in Japanese. Based on the observation that interrogative utterances in argument data are regularly followed by non-answers, it is argued that interrogative utterances in argument sequences may not be designed/interpreted as doing questioning. Such use of interrogatives can become an orderly practice to which participants orient themselves in social activities recognizable as arguments. However, though an answer is not expected, the recipient invariably provides some form of response, or the initial speaker seeks such a response when none is provided. Thus the nature of interrogatives as a grammatical category seems to reside in the basic structural unit of social interaction [recipient-oriented action]-[response]. In general, this study is intended to show the dynamically interlocking relationship between grammar and interaction by exploring the intricate interplay between a local action for which interrogative grammar is employed, and the sequential environment and activity framework in which the action takes place.     

Factor invariance of the Millon Clinical Multiaxial Inventory

Several factor analyses of the Millon Clinical Multiaxial Inventory (MCMI) have resulted in very similar solutions. Interpretation of this consistency is hampered by the fact that the 20 scales of the inventory share items. Overlapping items cause the scales to be linearly dependent and may create structure in the interscale correlation matrix which is separate from the subject response patterns. A factor analysis was performed on the matrix of item-overlap coefficients which describes the underlying artifactual structure of the instrument. Data from two new subject samples were factor analyzed and compared to previously published studies. Similarity coefficients among factors across studies were calculated.     

A method of optimal scaling for multivariate ordinal data and its extensions

This paper develops a method of optimal scaling for multivariate ordinal data, in the framework of a generalized principal component analysis. This method yields a multidimensional configuration of items, a unidimensional scale of category weights for each item and, optionally, a multidimensional configuration of subjects. The computation is performed by alternately solving an eigenvalue problem and executing a quasi-Newton projection method. The algorithm is extended for analysis of data with mixed measurement levels or for analysis with a combined weighting of items. Numerical examples and simulations are provided. The algorithm is discussed and compared with some related methods.Earlier results of this research appeared in Saito and Otsu (1983). The authors would like to acknowledge the helpful comments and encouragement of the editor.