Cohort parity analysis: Statistical estimates of the extent of fertility control

Cohort parity analysis (CPA) is a method for indirect measurement of the extent and timing of the adoption of fertility control within marriage. It uses information on the parity distribution of a cohort of women of specified marriage ages and durations. A multinomial model of parity provides a convenient framework for the computation of distributional parameters describing the extent to which marital fertility control has been accepted and characterizing the way control has been used within specific durations of marriage. This leads to a pair of easily implemented formulas for upper- and lower-bound estimates of the expected proportion of the population ever controlling and the distribution of controllers by parity. The power of CPA is illustrated, using census data for currently married couples in Dublin, Belfast, and other county boroughs of Ireland in 1911.     

New midyear age-sex-color-specific estimates of the U.S. population for the 1940s and 1950s: including a revision of coverage estimates for the 1940 and 1950 censuses

This paper describes new midyear (July 1) estimates of the "true" population of the United States by age, sex, and color (white, nonwhite) for the 1940s and 1950s. It also presents the corresponding implied coverage estimates for the 1940 and 1950 censuses. The new population estimates are calculated by combining the most recent figures on the 1960 population with estimates of the demographic components of change for the 1950s and 1940s in an iterative reverse cohort-component projection algorithm. Among the principal findings of the new estimates are: (a) existing midyear estimates of the "true" population in the 1950s are 450,000 to 500,000 too high; (b) existing age-specific estimates for the 1950s tend to underestimate the population at the older ages (55 years and over) and overestimate the population in the young and middle adult years (15 to 54 years); (c) estimates of the "true" population in the 1940s were too low except for nonwhites at ages 65 and over; (d) existing estimates of percentage net undercount and underenumeration for the 1950 and 1940 censuses tend to be too high, substantially so for nonwhites in the 1940 Census; and (e) nonwhites were more completely enumerated in 1940 than in 1950. Thus, in addition to being methodologically and temporally consistent with post-1960 estimates, the new population estimates described here imply some substantial revisions in demographic, social, and economic statistics for the two decades prior to 1960.     

Social indicators in statewide Mental Health planning: Lessons from California

The 1963 Community Mental Health Centers Act stimulated state government interest in assessing local needs for mental health services. In 1973 California began using 22 social indicators to calculate a county-by-county mental health service Need Index used in a formula for distributing incremental mental health funds. California's Need Index is misleading in that 99 percent of its variance across counties is explained by counties' population sizes alone. Stepwise multiple linear regression shows that 99 percent of the residual one percent of the variance in Need Index is explained by a mere five of the 22 social indicators. California's Need Index does not, therefore, represent adequately the factors influencing the need for public mental health funds. Methods for overcoming the defects in Need Index are suggested. Caveats and contextual analyses to guide social-indicator-based allocation of mental health funds are discussed.     

The impact of state-level restrictions on abortion

This research examines 23 different laws passed by state governments in an effort to restrict the number of abortions. It assesses both laws passed and laws actually enforced after the Supreme Court permitted states to restrict access to abortion in 1989. None of the policy actions by state governments has had a significant impact on the incidence of abortion from 1982 to 1992. Abortion rates continue to reflect past abortion rates, the number of abortion providers, whether the state funds abortions for Medicaid-eligible women, urbanism, and racial composition of the population. Recent restrictive policies have not affected these trends.     

Binary outcomes and endogenous explanatory variables: Tests and solutions with an application to the demand for contraceptive use in tunisia

Many demographic studies examine discrete outcomes, and researchers often suspect that some of the explanatory variables may be influenced by the same unobserved factors that determine the discrete outcome under examination. In linear models, the standard solution to this potential endogeneity bias is an estimator such as two-stage least squares. These methods have been extended to models with limited dependent variables, but there is little information on the performance of the methods in the types of data sets typically used in demographic research. This paper helps to fill this gap. It describes a simple analytic framework for estimating the effects of explanatory variables on discrete outcomes, which controls for the potential endogeneity of explanatory variables. It also discusses tests for exogeneity and joint determination of the outcomes and the explanatory variables. It summarizes the results of a Monte Carlo study of the performance of these techniques and uses these results to suggest how researchers should approach these problems in practice. We apply these methods to the examination of the impact of fertility intentions on contraceptive use, based on data from the 1988 Tunisia Demographic and Health Survey.     

Wealth Accumulation across the Adult Life Course: Stability and Change in Sociodemographic Covariate Structures of Net Worth Data in the Survey of Income and Program Participation, 1984–1991

This paper reports microlevel Tobit regression analyses of sociodemographic covariates of the life course accumulation of total household net worth data in eight waves of five distinct panels—spanning over 6 years from late 1984 through early 1991—of the Survey of Income and Program Participation (SIPP). It is found that the quadratic age–wealth relationship predicted by Modigliani's Life Cycle Hypothesis is evident in aggregate age–median wealth profiles as well as in the micro data for households with positive net worth. However, when adult status attainment variables are entered into the regression models either by themselves or in combination with marital/family status variables, the age of household head at which net worth begins to decline is far beyond the typical retirement age. In addition, the traditional criterion variables of sociological status attainment theory—educational attainment, occupational status, and earnings—are found to be positively associated with household net worth, although the net effect of occupational status generally is not statistically significant and the earnings effect is nonlinear. Further, consistent with status attainment theory, householder minority status (black, Hispanic) is negatively associated with the accumulation of net worth. It is found that both single male and single female householder status are negatively associated with the accumulation of household net worth (relative to married couple households) as is the size of the household (measured by the number of children under age 18 present). Separate logistic regression analyses show that households with zero and negative net worth are more likely than households with positive net worth to be black and have low earnings. Higher levels of educational and occupational status attainment reduce the probability of zero net worth but not the probability of negative net worth. Male- and female-headed households and households headed by Hispanics also are more likely to have zero net worth, but not negative net worth. The estimated sociodemographic covariate structures of household net worth are found to exhibit substantial stability across both waves and panels in the SIPP—although effects of the 1990–1991 recession are detectable in estimates for the 1990 panel. Possible applications of the estimated models in demographic projections of household net worth are suggested.     

The expansion of religious affiliation: An explanation of the growth of church participation in the United States 1850–1930

This paper focuses on the period in U.S. history that experienced the most rapid rate of increase of church membership—the decades between 1850 and 1930—in order to explain synchronic and diachronic variation in those rates. Using pooled cross-sectional time series analysis, different predictions are derived and tested from theories of secularization/social control, comparative disadvantage, resource mobilization, and pluralism. The effects of spatial diffusion and the momentum of religious tradition also are estimated. Our conclusion is that religious monopoly—not diversity—fuels religious expansion. This finding is bolstered by the complementary result that ethnic homogeneity is also conducive to religious expansion. Together these results highlight the importance for mobilization of religious and ethnocultural dominance in a particular niche.     

Game-theoretic analyses of coalition behavior

Coalitions are frequently more visible than payoffs. The theory of n-person games seeks primarily to identify stable allocations of valued resources; consequently, it gives inadequate attention to predicting which coalitions form. This paper explores a way of correcting this deficiency of game-theoretic reasoning by extending the theory of two-person cooperative games to predict both coalitions and payoffs in a three-person game of status in which each player seeks to maximize the rank of his total score. To accomplish this, we analyze the negotiations within each potential two-person coalition from the perspective of Nash's procedure for arbitrating two-person bargaining games, then assume that players expect to achieve the arbitrated outcome selected by this procedure and use these expectations to predict achieved ranks and to identify players' preferences between alternative coalition partners in order to predict the probability that each coalition forms. We test these payoff and coalition predictions with data from three laboratory studies, and compare the results with those attained in the same data by von Neumann and Morgenstern's solution of two-person cooperative games, Aumann and Maschler's bargaining set solution for cooperative n-person games, and an alternative model of coalition behavior in three-person sequential games of status.

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