The growth curve model: a review

A survey is given of papers which have influenced or have been influenced by the Growth Curve Model due to Potthoff & Roy (1964). The review covers, among others, methods of estimating parameters, the canonical version of the model, tests, extensions, incomplete data, Bayesian approaches and covariance structures.     

High dimensional extension of the growth curve model and its application in genetics

Recent advances in technology have allowed researchers to collect large scale complex biological data, simultaneously, often in matrix format. In genomic studies, for instance, measurements from tens to hundreds of thousands of genes are taken from individuals across several experimental groups. In time course microarray experiments, gene expression is measured at several time points for each individual across the whole genome resulting in a high-dimensional matrix for each gene. In such experiments, researchers are faced with high-dimensional longitudinal data. Unfortunately, traditional methods for longitudinal data are not appropriate for high-dimensional situations. In this paper, we use the growth curve model and introduce test useful for high-dimensional longitudinal data and evaluate its performance using simulations. We also show how our approach can be used to filter genes in time course genomic experiments. We illustrate this using publicly available genomic data, involving experiments comparing normal human lung tissue with vanadium pentoxide treated human lung tissue, designed with the aim of understanding the susceptibility of individuals working in petro-chemical factories to airway re-modelling. Using our method, we were able to filter out 1053 (about 5 %) genes as non-noise genes from a pool of  22,277. Although our focus is on hypothesis testing, we also provided modified maximum likelihood estimator for the mean parameter of the growth curve model and assessed its performance through bias and mean squared error.     

Development and Validation of the Sexual Contingent Self-Worth Scale

Sexual contingent self-worth (CSW) refers to self-worth that is dependent on maintaining a sexual relationship, and has not been studied previously. This novel construct may have implications for sexual, relationship, and psychological well-being, because it could affect the cognitions, affect, and behaviors of individuals in sexual relationships. The purpose of this study was to develop the Sexual Contingent Self-Worth Scale and examine its reliability and validity in community samples. Two separate online studies (N = 329 and N = 282) included men and women who were in committed, sexually active relationships. The Sexual CSW Scale was adapted from a validated measure of relationship CSW. In Study 1, participants completed the Sexual CSW Scale, whereas in Study 2, participants also responded to standardized measures of related constructs. In addition, participants completed the Sexual CSW Scale again two weeks later in Study 2. Factor analysis yielded two subscales: (a) sexual CSW dependent on positive sexual events in the relationship and (b) sexual CSW dependent on negative sexual events. Results indicated good construct validity, incremental validity, internal consistency, and test-retest reliability for the Sexual CSW Scale. This research contributes to the fields of both CSW and sexuality by introducing a novel domain of CSW.     

Social Victimization Trajectories From Middle Childhood Through Late Adolescence

Social victimization refers to being targeted by behaviors intended to harm one's social status or relationships (Underwood, 2003), including malicious gossip, friendship manipulation, and social exclusion (both verbal and non‐verbal). The current study examined social victimization experiences longitudinally from middle childhood through late adolescence. Participants (N = 273, 139 females) reported on their social victimization experiences in grades 4–11 (ages 9 to 16 years). Using mixture (group‐based) modeling, four social victimization trajectories were identified: low, medium decreasing, medium increasing, and elevated. High parent‐child relationship quality decreased the odds of being in the elevated group compared to the low group; however, parent‐child relationship quality was no longer a significant predictor when emotional dysfunction was added to the model. Higher emotional dysfunction and male gender increased the odds of being in the elevated group and medium increaser group relative to the low group even after controlling for parent‐child relationship quality. Implications for intervention and future research directions are discussed.     

The mental health demographic profile system: A longitudinal information system

This paper presents the plans currently being developed to make the Mental Health Demographic Profile System into a longitudinal information system useful for research and program planning. Topics discussed are as follows:

1. Development of a data base that contains 1960, 1970, and 1980 small areas (census tracts, MCDs or CCDs, counties). Preliminary tables for 1960,and 1970 will be displayed. Problems of identifying constant small areas for 1960 and 1970 are discussed.
2. Items to be included in the standard profile and items to be available for use (but not part of the standard profile) are discussed.
3. Improvement of access to the data system is discussed. This includes a discussion of the interactive programs being developed and the possible transfer of service and maintenance functions (but not development functions) to the National Center for Health Statistics.

     

RELATIVE FACTOR ENDOWMENTS AND INTERNATIONAL PORTFOLIO CHOICE

We present a model of international portfolio choice based on cross‐country differences in relative factor abundance. Countries have varying degrees of similarity in their factor endowment ratios, and are subject to aggregate productivity shocks. Risk‐averse consumers can insure against these shocks by investing their wealth at home and abroad. In a many‐good setup, the change in factor prices after a positive shock in a particular country provides insurance to countries that have dissimilar factor endowment ratios, but is bad news for countries with similar factor endowment ratios, since their incomes will worsen. Therefore countries with similar relative factor endowments have a stronger incentive to invest in one another for insurance purposes than countries with dissimilar endowments. The importance of this effect depends on the size of countries. Empirical evidence linking bilateral international equity investment positions to a proxy for relative factor endowments supports our theory: the similarity of host and source countries in their relative capital–labor ratios has a positive effect on the source country’s investment position in the host country. The effect of similarity is enhanced by the size of host countries.