Some properties of Lin–Wong divergence on the past lifetime data

Measures of statistical divergence are used to assess mutual similarities between distributions of multiple variables through a variety of methodologies including Shannon entropy and Csiszar divergence. Modified measures of statistical divergence are introduced throughout the present article. Those modified measures are related to the Lin–Wong (LW) divergence applied on the past lifetime data. Accordingly, the relationship between Fisher information and the LW divergence measure was explored when applied on the past lifetime data. Throughout this study, a number of relations are proposed between various assessment methods which implement the Jensen–Shannon, Jeffreys, and Hellinger divergence measures. Also, relations between the LW measure and the Kullback–Leibler (KL) measures for past lifetime data were examined. Furthermore, the present study discusses the relationship between the proposed ordering scheme and the distance interval between LW and KL measures under certain conditions.     

Development of predictive signatures for treatment selection in precision medicine with survival outcomes

For survival endpoints in subgroup selection, a score conversion model is often used to convert the set of biomarkers for each patient into a univariate score and using the median of the univariate scores to divide the patients into biomarker‐positive and biomarker‐negative subgroups. However, this may lead to bias in patient subgroup identification regarding the 2 issues: (1) treatment is equally effective for all patients and/or there is no subgroup difference; (2) the median value of the univariate scores as a cutoff may be inappropriate if the sizes of the 2 subgroups are differ substantially. We utilize a univariate composite score method to convert the set of patient's candidate biomarkers to a univariate response score. We propose applying the likelihood ratio test (LRT) to assess homogeneity of the sampled patients to address the first issue. In the context of identification of the subgroup of responders in adaptive design to demonstrate improvement of treatment efficacy (adaptive power), we suggest that subgroup selection is carried out if the LRT is significant. For the second issue, we utilize a likelihood‐based change‐point algorithm to find an optimal cutoff. Our simulation study shows that type I error generally is controlled, while the overall adaptive power to detect treatment effects sacrifices approximately 4.5% for the simulation designs considered by performing the LRT; furthermore, the change‐point algorithm outperforms the median cutoff considerably when the subgroup sizes differ substantially.     

Financial journeys of Australian parents after separation – transitions into and out of poverty

It is well established that relationship separation has greater negative economic consequences for mothers than for fathers in Australia and other developed countries. While research has shown that, at an aggregate level, such negative impacts tend to diminish with time, the rate of change is generally slower for mothers than fathers, and a higher proportion of mothers than fathers continue to experience entrenched financial difficulties. Less is known about the variability of economic journeys experienced by women and men, taken separately, and factors influencing diverse economic trajectories. Drawing on data from the Longitudinal Study of Separated Families (LSSF), which followed up a large sample parents at three post‐separation points, this article examines poverty rates across a 4‐year period, transitions into and out of poverty and factors affecting these pathways.     

Acceptance and Caregiving of Married and Divorced Custodial Mothers and Fathers

The study examined whether differences in gender and family status affect parental caregiving disposition and acceptance of children among parents of children in mid-childhood. The number of participants were 122 divorced-custodial fathers, 107 married fathers, 85 divorced-custodial mothers, and 82 married mothers (n?=?398). A comparison among four groups of parents revealed the following gender differences: mothers scored higher on anxious caregiving and parental acceptance than fathers, and lower on avoidant caregiving. Regression analysis indicated that the higher the caregiving avoidance or anxiety, the lower the parental acceptance. Family status moderated parental acceptance, as avoidant caregiving was associated with reduced parental acceptance among married parents, but not among divorced custodial parents. The finding that avoidant caregiving was not associated with reduced acceptance among divorced custodial parents implies that their parental acceptance behaviors toward their children are affected by their parental status as sole custodial parent, and the associated responsibilities, rather than by gender.     

Family violence laws: Traditional narratives and the (in)visibility of lesbian relationships and lesbian-parented families

Abstract

Feminist advocacy and activism over the last 40 years broke historic ground in shining a light on “domestic” or “family” violence, traditionally conceptualized as male violence against female intimate partners and their children. This has resulted in a large body of research, particularly in the United States, United Kingdom, Australia, and similar jurisdictions, around the gendered nature of family violence and violence within heterosexual relationships and heterosexual-parented families. As a consequence, the predominant narrative—in political, policy, and advocacy settings—is largely heteronormative. Less research has focused on family violence in non-heterosexual relationships. The data that do exist have employed different methodological approaches and there are limitations on the extent to which they can be compared to the data on violence within heterosexual relationships. However, the existing research does demonstrate that family violence within lesbian, gay, bisexual, transgender, and intersex (LGBTI) communities is a significant issue. Even so, the current narrative does not acknowledge this, and predominantly reflects heterosexual norms of intimate relationships and family structures in society. LGBTI relationships are described as “invisible” in policy and practice responses to family violence, due to the failure to acknowledge violence in such communities. This article explores these claims in relation to lesbian relationships in the context of Australian legislative responses to family violence. It considers the extent to which family violence laws in two Australian jurisdictions recognize and frame lesbian identity in intimate relationships and lesbian-parented families. This is considered in light of the emerging conceptualization of family violence in lesbian relationships and lesbian-parented families, as evidenced by the wider scholarly literature on the nature and dynamics of such violence.     

A court file analysis of child protection cases: What do children say?

Children's participation in legal proceedings affecting them personally has been gaining importance. So far, a primary research concern has been how children experience their participation in court proceedings. However, little is known about the child's voice itself: Are children able to clearly express their wishes, and if so, what do they say in child protection cases? In this study, we extracted information about children's statements from court file data of 220 child protection cases in Germany. We found 182 children were asked about their wishes. The majority of the statements found came either from reports of the guardians ad litem or from judicial records of the child hearings. Using content analysis, three main aspects of the statements were extracted: wishes concerning main place of residence, wishes about whom to have or not contact with, and children granting decision‐making authority to someone else. Children's main focus was on their parents, but others (e.g., relatives and foster care providers) were also mentioned. Intercoder agreement was substantial. Making sure that child hearings are as informative as possible is in the child's best interest. Therefore, the categories developed herein might help professionals to ask questions more precisely relevant to the child.     

Hypothesis Tests for Neyman's Bias in Case–Control Studies

Survival bias is a long recognized problem in case–control studies, and many varieties of bias can come under this umbrella term. We focus on one of them, termed Neyman's bias or ‘prevalence–incidence bias’. It occurs in case–control studies when exposure affects both disease and disease-induced mortality, and we give a formula for the observed, biased odds ratio under such conditions. We compare our result with previous investigations into this phenomenon and consider models under which this bias may or may not be important. Finally, we propose three hypothesis tests to identify when Neyman's bias may be present in case–control studies. We apply these tests to three data sets, one of stroke mortality, another of brain tumors, and the last of atrial fibrillation, and find some evidence of Neyman's bias in the former two cases, but not the last case.     

Mixtures of regression models with incomplete and noisy data

The estimation of the mixtures of regression models is usually based on the normal assumption of components and maximum likelihood estimation of the normal components is sensitive to noise, outliers, or high-leverage points. Missing values are inevitable in many situations and parameter estimates could be biased if the missing values are not handled properly. In this article, we propose the mixtures of regression models for contaminated incomplete heterogeneous data. The proposed models provide robust estimates of regression coefficients varying across latent subgroups even under the presence of missing values. The methodology is illustrated through simulation studies and a real data analysis.