On the estimation of the tetrachoric correlation coefficient

This paper presents briefly the rationale of the tetrachoric correlation coefficient. Pearson's results are outlined and several estimates of the coefficient are given. These estimates are compared with Pearson's expressions to determine the relative accuracy of the various approximations in determining the tetrachoric correlation coefficient.Preparation of this paper was supported in part by Fellowship 1-F1-MH-24, 324-01, from the National Institute of Mental Health; and in part by the Tri-Ethnic Research Project, Grant 3M-9156 from the National Institute of Mental Health to the Institute of Behavioral Science, University of Colorado. This paper comprises Publication Number 57 of the Institute. The author would like to thank D. E. Bailey for his helpful comments and criticisms.     

Components of correlation and extensions of the lens model equation

By applying a general procedure for analyzing a correlation coefficient into components, the lens model equation is extended to a) analyze the effects of different types of variation and b) analyze the relations between judgmental systems that are not based on the same set of cues.This research was supported by National Institute of Mental Health Grant MH 16437. The author wishes to thank John Castellan and Derick Steinmann for helpful comments on an earlier version of this paper.     

Extension of Feldt's approach to testing homogeneity of coefficients of reliability

Limitations and extensions of Feldt's approach to testing the equality of Cronbach's alpha coefficients in independent and matched samples are discussed. In particular, this approach is used to test equality of intraclass correlation coefficients.This work was supported by the National Institute of Mental Health Specialized Research Center Grant # MH-30854.     

Best linear composites with a specified structure

Least squares linear composites of predictors for estimating several criteria are derived, satisfying the restriction that the composites have an arbitrary specified intercorrelation matrix. These composites are compared with the usual unrestricted regression composites. An illustrative example is provided. The derivation depends on a general result, given in an appendix, about best-fitting orthonormal transformations.This research was done while the author was a Fellow at The Center for Advanced Study in the Behavioral Sciences. The investigation was supported by a Public Health Service fellowship, 1 F3 MH-28, 495-01 (PS), from the National Institute of Mental Health. Preparation of the paper was supported in part by Grant MH 07722 from the National Institute of Mental Health, Public Health Service, for work done at Carnegie-Mellon University.     

Distress in spouses of chronic pain patients

This paper critiques the research on distress in spouses of chronic pain patients and includes a review of two studies of spouses conducted at the Miriam Hospital Chronic Pain Research Unit. The clinical implications of this research are discussed and case material is presented to illustrate the role of spouse distress in the treatment of patients with chronic pain. Future directions for research in this area are recommended.The research conducted at the Miriam Hospital Chronic Pain Research Unit was supported by the Alcohol, Drug and Mental Health Administration of the National Institute of Mental Health, Small Grants Program, Grant No. 1 R03 MH39257001A1.     

A theory of appropriate statistics

A formal theory of appropriateness for statistical operations is presented which incorporates features of Stevens' theory of appropriate statistics and Suppes' theory of empirical meaningfulness. It is proposed that a statistic be regarded as appropriate relative to statements made about it in case the truths of these statements are invariant under permissible transformations of the measurement scale. It is argued that the use of inappropriate statistics leads to the formulation of statements which are either semantically meaning-less or empirically nonsignificant.This research was supported in part by each of the following grants: National Science Foundation Grant GS-333 to the University of Oregon; National Science Foundation Grant to the Institute of Human Learning, University of California, Berkeley; and National Institute of Mental Health Grant MH-08055-01 (under the direction of Ernest W. Adams), also to the Institute of Human Learning. Work on this project was carried out in part during Robert F. Fagot's tenure as Public Health Service Special Fellow (No. MSP-15800) at the University of California, Berkeley, 1962-63; and during Richard E. Robinson's tenure as National Science Foundation Science Faculty Fellow at Stanford University, 1962–63.     

The use of children's drawings in multiple family group therapy

This paper describes the advantages, difficulties and techniques of including young children in multiple family group therapy (MFGT). Multiple family group therapy consists of weekly sessions where three or more families meet conjointly with a therapist or cotherapists. Clinical vignettes demonstrate how to use children's drawings with parents to improve family communication. The efficiency of MFGT is compared to family therapy or individual therapy. The effective use of this modality with some children under 10 years is discussed.This research was supported in part by Alcohol, Drug Abuse, and Mental Health Administration Psychiatry Education Branch Grant MH 13882 from the National Institute of Mental Health.     

Monte Carlo studies in nonmetric scaling

In response to Arabie several random ranking studies are compared and discussed. Differences are typically very small, however it is noted that those studies which used arbitrary configurations tend to produce slightly higher stress values. The choice of starting configuration is discussed and we suggest that the use of a principal components decomposition of the doubly centered matrix of dissimilarities, or some transformation thereof, will yield an initial configuration which is superior to a randomly chosen one.This research was supported by the National Research Council of Canada (Grant No. A8351) and by the National Institute of Mental Health (Grant Nos. MH10006 and MH26504). The authorship order has been determined by Monte Carlo methods.     

The reliability of a point biserial coefficient of correlation

An attempt is made to elaborate upon Lev's results concerning the reliability of the point biserial coefficient of correlation in a manner that will be helpful to the psychological statistician. Procedures required in the use of the non-centralt tables prepared by Johnson and Welch are described as they relate to the determination of the fiducial limits for a point biserial coefficient. A normal approximation technique for the estimation of fiducial limits is also suggested. Numerical evidence is presented which shows that relative to a given level of significance the width of the fiducial interval estimated from a point biserial coefficient of any size is smaller than that of the fiducial interval corresponding to an ordinary Pearsonian coefficient of the same magnitude.     

The number of ways to label a structure

It has been observed that the number of different ways in which a graph withp points can be labelled isp! divided by the number of symmetries, and that this holds regardless of the species of structure at hand. In this note, a simple group-theoretic proof is provided.This work was supported by Grant MH 10834 from the National Institute of Mental Health.     

A computational procedure for tau correlation

Thetau coefficient is defined, and a computational procedure for tied ranks is described. The procedure maintains continuous computational checks, saves labor, and particularly facilitates the use oftau with large samples. It is also shown howtau correlation may be applied toQ-sorts with any shape of forced distribution or with unforced distributions.The procedure described was developed in connection with research at the Counseling Center, University of Chicago. The research is supported by a grant (PHS M 903) from the National Institute of Mental Health, of the National Institutes of Health, Public Health Service.     

Comparative scaling of unidimensional discrimination and similarity data

Scales constructed from paired-comparison designs under Thurstone's Case V model are discussed in relation to those derived from similarity data by means of the Unilateral Law of Comparative Judgment [3]. Factors inherent in the triadic similarity task are then considered with respect to scale invariance across experimental designs. Illustrative data, although revealing the influence of these factors upon similarity response consistency, indicate the similarity scale to be somewhat robust to their biasing effects.This research was supported in part by National Institute of Mental Health Grant MH-04439-05.     

A Latent Transition Model With Logistic Regression

Latent transition models increasingly include covariates that predict prevalence of latent classes at a given time or transition rates among classes over time. In many situations, the covariate of interest may be latent. This paper describes an approach for handling both manifest and latent covariates in a latent transition model. A Bayesian approach via Markov chain Monte Carlo (MCMC) is employed in order to achieve more robust estimates. A case example illustrating the model is provided using data on academic beliefs and achievement in a low-income sample of adolescents in the United States. This research was partially supported by the National Institute on Drug Abuse Grant 1-R03-DA021639. This research was partially supported by the National Institute on Drug Abuse Grant 1-P50-DA10075, The Methodology Center, The Pennsylvania State University. This research was partially supported by the National Institute of Mental Health funds as part of the Studying Diverse Lives research support program at the Henry A. Murray Research Archive, Institute for Quantitative Science, Harvard University.     

On the correlation of a naturally and an artificially dichotomized variable

A method is suggested for estimating the correlation of a naturally (X) and an artificially (Y) dichotomized variable. It is assumed that a normal random variable (L) underlies the artificially dichotomized variable. The proposed correlation coefficient recovers the product moment correlation coefficient between X and L from a fourfold table of X and Y. The suggested correlation coefficient ν is contrasted with the phi correlation and the biserial η. The biserial η was proposed by Karl Pearson and is conceptually related to the new correlation coefficient. However, in addition, Pearson's biserial η invokes the assumption that the marginal distribution of L is normal, which contradicts its basic assumptions and thus does not recover the true correlation of L and X. Finally, an approximation is provided to simplify the calculation of ν and its standard error.     

Further evidence for an orientation constancy based upon registration of ocular position

Summary In four experiments Ss were exposed to wedge prisms or maintained an asymmetrical eye and head posture in order to induce a shift in the apparent direction of gaze. Systematic changes in the apparent orientation of a line target were obtained as inferred from an assumed algorithm relating optical input and registered direction of gaze.This research was supported by Grant MH13006 from the National Institute of Mental Health to the first author.The aid of Ms. Janine Pyrek and Ms. Lynne Shebilske is gratefully acknowledged.     

The parish clergy as a mental health resource

Summary This paper presents observations on the assets and liabilities of the parish clergy as a mental health resource within the community. These observations are drawn from a ten-year program of continuing education for cleargy in mental health, which focuses on daily pastoral experience. The parish setting is similar in many respects to the service area of a community mental health center. The clergy's assets often include availability, experience, tradition, and the special significance of the religious leader. Inadequate training in mental health skills and the complex demands of parish life are among the problems confronting the clergy in this area. On the whole, the pastoral role offers a unique and highly useful opportunity for positive psychological intervention.The work described in this paper has been supported in part by National Institute of Mental Health grant no. MH-11929-01 and by grants from the Cleveland Foundation and the Grant Foundation, Inc., and the Cuyahoga County Board of Mental Health and Mental Retardation.     

The effect of dextroamphetamine on habituation of peripheral vascular response in children

The blood volume pulse (BVP) measured by a photoplethysmograph was recorded in 43 children with behavior and learning problems before and after either stimulant drug treatment or placebo. A series of twenty-four 750-cps tones was presented at 10-sec. intervals, with one trial having a doubled interval and one with a halved interval. A 1,000-cps tone was introduced following the 24th trial. As predicted, the drug-treated subjects showed significantly more rapid habituation to the tones. They also showed more variability of BVP following the longer intertriai interval, but showed less variability following the introduction of the high tone. The results are interpreted as showing that the stimulant has the effect of raising autonomie arousal level with consequently more rapid habituation of the orienting response.An earlier version of this article was presented to The Society for Psychophysiological Research, Monterey, California, October 1969. This research was supported by Grant No. MH14432 from the Psychopharmacology Section (National Institute of Mental Health) and Research Scientist Development Award No. K2MH7839 (National Institute of Mental Health).     

A dual scaling analysis for paired compositions

A paired composition is a response (upon a dependent variable) to the ordered pair <j, k> of stimuli, treatments, etc. The present paper develops an alternative analysis for the paired compositions layout previously treated by Bechtel's [1967] scaling model. The alternative model relaxes the previous one by including row and column scales that provide an expression of bias foreach pair of objects. The parameter estimation and hypothesis testing procedures for this model are illustrated by means of a small group analysis, which represents a new approach to pairwise sociometrics and personality assessment.This study was supported by Grant Nos. MH 12972, MH 10822, and MH 15506 from the National Institute of Mental Health, U. S. Public Health Service. Computing assistance was obtained from the Health Sciences Computing Facility, UCLA, sponsored by N.I.H. special research resources Grant RR-3.The motivation of this effort has been enhanced by Gerald Patterson and his associates, who have kindly provided the illustrative data at the end of the paper. The author would also like to express his appreciation to Wei-Ching Chang of the Oregon Research Institute and the University of Oregon for his substantive contributions to the paper, and to William Chaplin and Mark Layman of the Oregon Research Institute for the programming of the data analytic method. FORTRAN IV program listings for this analysis are available upon request to the author.     

Strategies for sentence perception

Three experiments are reported in which rapid sequential visual presentation of sentences-RSVP-was used to determine some perceptual processes in sentence perception. It was found that adjectives, when they are actually or potentially modifiers of a noun, are far less likely to be reported than any other part of the sentence. On the other hand, adjectives which are attribute adjectives are as likely to be reported as any other part of the sentence. Conclusions are drawn concerning sentence perception in general.This research was supported by the National Institute of Mental Health, Grant RO1-MH1-4709-05 to J. Mehler.     

The Hispanic Treatment Program: Principles of effective psychotherapy

The Hispanic Treatment Program was an inpatient psychotherapy Unit at the Colorado State Hospital that operated from October 1979 to February 1982. Staffed exclusively with personnel of Hispanic heritage, the Program emphasized the use of linguistic and cultural elements, as well as the customs and beliefs characteristic of Hispanic culture. A specialized inpatient treatment unit for Hispanic patients with psychotic (especially, schizophrenia) disturbances, the Program offered a unique opportunity to these patients by providing a variety of psychotherapies conducted in a culturally-sensitive manner. Spanish and English were used in a manner conducive to enhancing the treatment process, with flexibility in use of language.This project was supported by Grant No. ROlMH29016-01A2, awarded by the National Institute of Mental Health, Center for Minority Group Mental Health.The authors acknowledge Gregorio Kort, M.D. and Wayne Smyer, M.A. and other staff for their contributions to the development and success of the Hispanic Treatment Program.Original version of paper was selected for the First Senior Award given by the Psychological Services Center's (NYSCP) Minority Mental Health Award Competition.