On characterizing the normal and poisson distributions

Multivariate normal, correlated multivariate Poisson and multiple Poisson distributions are characterized, in the class of exponential-type distributions, by the properties of the linear combinations of the variables, the properties of their cumulants and the recurance relation between the cumulants.     

Do Mission Statements Matter for Nonprofit Performance?

In this exploratory study, we examine whether organizational mission statement attributes make a difference to the performance of nonprofit performing arts organizations. We use text analysis to measure two semantic attributes—activity and commonality—of mission statements. We examine whether these attributes are associated with improved performance for the instrumental and expressive functions of nonprofit performing arts organizations. Our findings indicate that the mission statement attribute activity is associated with improved performance for both instrumental and expressive functions. Our analysis of nonfindings for the mission statement attribute commonality suggests that there is a need to develop and use content analysis tools tailored to nonprofit contexts.     

Assessing Attitudes Toward Lesbians and Gay Men: The Modern Homophobia Scale

The authors developed the Modern Homophobia Scale (MHS), a scale that includes measures of attitudes toward lesbians (MHS-L) and attitudes toward gay men (MHS-G). An initial pool of 97 items was generated by the authors based on a review of the literature on homophobia and feedback from several focus groups. Responses to the initial pool of items were factor analyzed. The final versions of the MHS-L and the MHS-G included items reflecting the following factors: Personal Discomfort with lesbians/gay men, Institutional Homophobia toward lesbians/gay men, and the Deviance/Changeability of female/male homosexuality. Although the Personal Discomfort, Institutional, and Deviance/Changeability factors were separable, they were highly correlated and showed little evidence of divergent validity. Reactions to gay, lesbian, and heterosexual characters in written vignettes provided initial support for the validity of the MHS. Both the MHS-L and MHS-G were significantly correlated with the Index of Homophobia and the Attitudes Toward Women Scale. A greater degree of homophobia on the MHS-L and MHS-G was associated with a greater degree of socially desirable responding as measured by the Balanced Inventory of Desirable Responding. Lower levels of homophobia on the MHS-L and MHS-G were associated with having lesbian and gay acquaintances and friends. On the MHS-L, men and women did not differ in their overall level of homophobia toward lesbians, but significant gender differences on MHS-L factor scores were present. Compared to men, women were more supportive of gay men on all three factors of the MHS-G.     

Use of social impact bonds to address social problems: Understanding contractual risks and transaction costs

Social impact bonds, a recent innovation in social finance, are designed to harness capital and knowledge from private nonprofit, for‐profit, and public entities to address pressing social problems. Although there is great policy interest in understanding how social impact bonds can be used to tackle social problems, the emergent nature of social impact bonds makes it hard to find relevant data and evidence. To overcome this challenge, we use single‐significant‐case sampling as our research design strategy. We conduct an in‐depth case study of the Social Innovation Financing Youth Recidivism Project in Massachusetts. Our case study is comprised of a qualitative analysis of the multiparty contract and multiyear quantitative benefit–cost analysis to understand transaction costs. We draw upon contract theory to develop an analytical framework for the case analysis and highlight the risks and safeguards for the various parties to the contract, and conduct a formal benefit–cost analysis to map out transaction costs. We conclude with a discussion of study implications and future research.     

Spatial smoothing of low birth weight rate in Bangladesh using Bayesian hierarchical model

The term low birth weight refers an event where a newborn baby has a weight that is less than 2500?g. This is an essential indicator while the interest is in public health issues such as infant mortality, maternal complications, and antenatal care, etc. of a country, particularly, for a developing country like Bangladesh. The regional development programs are in the current priority list of Bangladesh government and other policy makers. Many of such regional development programs may need the spatial distribution of relative risk for low birth weight that can be obtained by mapping the risks over small area domains like the districts of Bangladesh. This study aims to find whether is there any spatial dependence among the relative risks of low birth weight for the districts of Bangladesh. This has been investigated using Moran's I statistic and a significant spatial dependence in the relative risks was found. Then, attempt has been made to rediscover the spatial distribution based on the idea of spatial smoothing. A Bayesian hierarchical model is used considering percent received antenatal care and female labor force participation as covariates to smooth the observed relative risks of low birth weight in 64 districts of Bangladesh. Revised spatial distribution taking the spatial dependence under consideration through intrinsic conditional autoregressive model is derived and showed in choropleth map along with its different behaviors.     

Measuring the determinants of relative economic performance of rural areas

This paper examines the determinants of economic performance of 149 English rural Local Authority Districts (LADs). A Three Stage Least Square (3SLS) estimation procedure was employed to jointly determine the influence of a wide range of indicators representing economic, human, cultural and environmental capital, as well as less tangible or ‘soft’ factors on three distinct components of economic performance: productivity, employment and labor market participation. The results reveal that a range of facets of economic and human capital, including the three key drivers of productivity (skills, investment and enterprise), spatial factors (peripherality and accessibility), and other key factors (economic structure, government infrastructure, road infrastructure, and occupational health), are significant determinants of economic performance in rural areas. This study is of value since it proposes a method for modelling the determinants of economic performance which is transferable to other environments in the UK and beyond. In addition, it proposes a set of benchmarks of economic performance using readily available data, and highlights some implications for rural policy and several avenues for future research.     

Breaking Up Is Hard to Count: The Rise of Divorce in the United States, 1980–2010

This article critically evaluates the available data on trends in divorce in the United States. We find that both vital statistics and retrospective survey data on divorce after 1990 underestimate recent marital instability. These flawed data have led some analysts to conclude that divorce has been stable or declining for the past three decades. Using new data from the American Community Survey and controlling for changes in the age composition of the married population, we conclude that there was actually a substantial increase in age-standardized divorce rates between 1990 and 2008. Divorce rates have doubled over the past two decades among persons over age 35. Among the youngest couples, however, divorce rates are stable or declining. If current trends continue, overall age-standardized divorce rates could level off or even decline over the next few decades. We argue that the leveling of divorce among persons born since 1980 probably reflects the increasing selectivity of marriage.     

Measuring Cohabitation and Family Structure in the United States: Assessing the Impact of New Data From the Current Population Survey

In 2007, the Current Population Survey (CPS) introduced a measure that identifies all cohabiting partners in a household, regardless of whether they describe themselves as ??unmarried partners?? in the relationship to householder question. The CPS now also links children to their biological, step-, and adoptive parents. Using these new variables, we analyze the prevalence of cohabitation as well as the demographic and socioeconomic characteristics of different-sex cohabiting couples during the years 2007?C2009. Estimates of cohabitation produced using only unmarried partnerships miss 18?% of all cohabiting unions and 12?% of children residing with cohabiting parents. Although differences between unmarried partners and most newly identified cohabitors are small, newly identified cohabitors are older, on average, and are less likely to be raising shared biological or adopted children. These new measures also allow us to identify a small number of young, disadvantaged couples who primarily reside in households of other family members, most commonly with parents. We conclude with an examination of the complex living arrangements and poverty status of American children, demonstrating the broader value of these new measures for research on American family and household structure.     

Distribution of the biased hypothesis sum of squares in linear models with missing observations

In a linear model with missing observations, one can substitute algebraic quantities and then minimize the error sum of squares for the augmented model. This gives the correct error sum of squares. But this method does not produce the correct hypothesis sum of squares for testing a linear hypothesis about the parameters. The sum of squares obtained is biased but practitioners still use it. The distribution of this biased sum of squares is derived in this paper and the consequences of using this biased sum of squares on the type I and II errors is examined.     

Missing plot technique in linear models

This paper extends the missing plot substitution technique to the case where the missing observations-cause some previously estimable functions to become non-estimable. It is shown that with appropriate modifications, the usual methods of analysis remain valid. We also obtain necessary and sufficient conditions under which the sum of squares due to a hypothesis can be calculated without “re-estimating” the missing observations