Power-divergence-type measure of departure from diagonals-parameter symmetry for square contingency tables with ordered categories

For the analysis of square contingency tables with ordered categories, Goodman considered the diagonals-parameter symmetry (DPS) model. This paper proposes a measure to represent the degree of departure from the DPS model. The proposed measure is expressed by applying Read and Cressie’s power-divergence or Patil and Taillie’s diversity index. The measure would be useful for comparing the degree of departure from the DPS model in several tables. Examples are given.     

Estimation of sample selection bias models

Econometric models with sample selection biases are widely used in various fields of economics, such as labor economics. The Maximum Likelihood Estimator (MLE) is seldom used to estimate models because of computational difficulty, while Heckman's two-step estimator is widely used to estimate these models. However, Heckman's two-step estimator sometimes performs poorly. In this paper, methods of calculating the MLE are analysed, and finite sample properties of the MLE and Heckman's two-step estimator are compared using Monte Carlo experiments and empirical examples.     

Measure of Asymmetry for Square Contingency Tables Having Ordered Categories

For the analysis of square contingency tables with nominal categories, Tomizawa and coworkers have considered measures that represent the degree of departure from symmetry. This paper proposes a measure that represents the degree of asymmetry for square contingency tables with ordered categories (instead of those with nominal categories). The measure proposed is expressed using the Cressie–Read power-divergence or Patil–Taillie diversity index, defined for the cumulative probabilities that an observation falls in row (column) category i or below and column (row) category j (> i ) or above. The measure depends on the order of listing the categories. It should be useful for comparing the degree of asymmetry in several tables with ordered categories. The relationship between the measure and the normal distribution is shown.     

Marginal inhomogeneity models for square contingency tables with nominal categories

For the analysis of square contingency tables with nominal categories, this paper proposes two kinds of models that indicate the structure of marginal inhomogeneity. One model states that the absolute values of log odds of the row marginal probability to the corresponding column marginal probability for each category i are constant for every i. The other model states that, on the condition that an observation falls in one of the off-diagonal cells in the square table, the absolute values of log odds of the conditional row marginal probability to the corresponding conditional column marginal probability for each category i are constant for every i. These models are used when the marginal homogeneity model does not hold, and the values of parameters in the models are useful for seeing the degree of departure from marginal homogeneity for the data on a nominal scale. Examples are given.     

Community-Based System,Reports, and Substantiated Cases of Elder Abuse: Disparities Between Municipalities and Relating Factors in Japan

This study examines (1) the staffing and financial characteristics of systems for elder abuse detection and intervention in the municipal governments of Japan and (2) the relationship among the development of detection and intervention systems, the reporting rates of suspected elder abuse cases, and substantiated abuse rates in 927 municipalities across Japan. Progressive systems for the detection and intervention of elder abuse were significantly associated with a larger number of public officers than in non-progressive systems. Furthermore, greater rates of both suspected and substantiated cases of abuse were associated with progressive systems for elder abuse detection and intervention. Per capita annual expenditures on the comprehensive support project and the community general support center's catchment under the Long-Term Care Insurance (LTCI) program showed no significant association with the development of systems, the rate of suspected cases, or the number of substantiated cases. National social policy makers should examine strategies that would help municipalities assign sufficient staff to elder abuse detection and intervention programs.     

Environmental Sociology in Japan and Environmental Problems in Asian Societies

This paper discusses typical aspects of environmental sociology in Japan and what characteristics can be found in Japanese environmental problems when they are viewed from their relation to environmental problems in Asian societies.
The most prominent feature of environmental sociology in Japan is that it has been mainly the sociology of environmental problems, whereas in the United States is has been mainly the sociology of the environment. The second characteristic is closely related to the first: environmental sociology in Japan has focused on the local community and the life of people and victims affected by environmental problems.
The third property would be that many studies by environmental sociologists have been accumulated by the Japanese Association for Environmental Sociology, which was set up in 1990.
The approach to the study of environmental problems in Asian societies reflects these characteristics. Views from the historical interaction between Japan and other Asian countries are essential to the study of environmental problems in Asian countries.     

The effects of correctional education on juvenile delinquents and the factors for their overall changes: Focusing on academic performance and family‐type environment

This study aimed to explore the effects of correctional education on juvenile delinquents at a children's self‐reliance support facility in Japan, which provides delinquents with familial environments and multidimensional, comprehensive education. The purpose of this study was to compare the youth's academic performance and resilience from the time of admission to discharge and to identify which interventions improved participants' academic performance and resilience. We examined juvenile database records and “juvenile diaries” of 283 male youth. Participants were categorized into either an Improvement Group (IG) or a No‐Improvement Group (No‐IG) based on their outcome at discharge. The results showed that their academic performance and resilient characteristics were significantly higher at discharge than at admission. Employing single logistic regression, we found that the length of stay, academic performance, and the number of visits by family and social workers were characteristics associated with membership in the IG. These findings can guide future clinical practices and measures implemented for juvenile delinquents.     

Estimation of sample selection bias models

Econometric models with sample selection biases are widely used in various fields of economics, such as labor economics. The Maximum Likelihood Estimator (MLE) is seldom used to estimate models because of computational difficulty, while Heckman's two-step estimator is widely used to estimate these models. However, Heckman's two-step estimator sometimes performs poorly. In this paper, methods of calculating the MLE are analysed, and finite sample properties of the MLE and Heckman's two-step estimator are compared using Monte Carlo experiments and empirical examples.     

Diagonal uniform association symmetry modelsfor cumulative probabilities in square tables

For the analysis of square contingency tables with ordered categories, Tomizawa (1991) considered the diagonal uniform association symmetry (DUS) model, which has a multiplicative form for cell probabilities and has the structure of uniform association in the tables constructed using two diagonals that are equidistant from the main diagonal. This paper proposes another DUS model which has a similar multiplicative form for cumulative probabilities. The model indicates that the odds that an observation will fall in row category i or below and column category i+k or above, instead of in column category i or below and row category i+k or above, increase (decrease) exponentially as the cutpoint i increases for a fixed k. Examples are given.