Article

A Rolling Panel Model of Cohort, Period, and Aging Effects for the Analysis of the General Social Survey

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Abstract

The linear dependence of age, period, and birth cohort is a challenge for the analysis of social change. With either repeated cross-sectional data or conventional panel data, raw change cannot be decomposed into over-time differences that are attributable to the effects of common experiences of alternative birth cohorts, features of the periods under observation, and the cumulation of lifecourse aging. This article proposes a rolling panel model for cohort, period, and aging effects, suggested by and tuned to the treble panel data collected for the General Social Survey from 2006 through 2014. While the model does not offer a general solution for the identification of the classical age-period-cohort accounting model, it yields warranted interpretations under plausible assumptions that are reasonable for many outcomes of interest. In particular, if aging effects can be assumed to be invariant over the course of an observation interval, and if separate panel samples of the full age distribution overlap within the same observation interval, then period and aging effects can be parameterized and interpreted separately, adjusted for cohort differences that pulse through the same observation interval. The estimated cohort effects during the observation interval are then interpretable as effects during the observation interval of entangled period and cumulated aging differences from before the observation interval.

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... In other words, by design, the APC-I method does not estimate the kind of linear or nonlinear cohort effects in traditional APC models because the latter's assumption that cohort effects can occur independently and additively of age and period effects lacks theoretical grounding and is thus arbitrary and questionable. 2 Our questioning of the validity of the accounting framework is not new (Hobcraft et al., 1982;Holford, 1983) and has been echoed in recent methodological work (see, e.g., Morgan, 2022;Morgan & Lee, 2021;Neil & Sampson, 2021). ...
... To conclude, although we have argued the APC-I model better represents the conceptualization of cohort effects than previous studies, we do not claim that the APC-I method offers a final answer to cohort analysis. Like other scholars (Morgan, 2022;Morgan & Lee, 2021;Neil & Sampson, 2021), we urge demographers and social scientists to assess the validity of the traditional APC accounting model as the starting point of their analysis. Ultimately, we echo the recent sentiment that every researcher should be able to defend the correspondence between the estimand in any model and the conceptual quantity that they intend to investigate (Lundberg et al., 2021). ...
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... It implies that the identification challenge is inherent in any APC model that attempts to separate independent and additive effects of age, period, and cohort and thus cannot be solved by changing the model setup (e.g., using random effects for period and cohort as in Yang and Land, 2006; see Luo and Hodges, 2020b, for a critique) or by variable manipulation (e.g., using unequal interval widths for age, period, and cohort groups as in Robertson and Boyle, 1986;Sarma et al., 2012;see Luo et al., 2016, for a detailed discussion). The identification problem is well recognized, and its consequences have been discussed extensively (Fienberg and Mason, 1985;Fosse and Winship, 2019;Kupper et al., 1983Kupper et al., , 1985Luo and Hodges, 2020b;te Grotenhuis et al., 2016;O'Brien, 2020;Morgan and Lee, 2021;Luo, 2013). In essence, internal information derived from the data cannot help because the problem is circular: researchers do the analysis to learn precisely the kind of information needed to justify any such constraint. ...
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Chapter
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The notion that aging beyond adolescence and young adulthood leads to conservatism is part of the conventional wisdom, and there are theoretical reasons to believe that certain dimensions of biological, social and psychological aging contribute to some kinds of conser vatism. For instance, with the assumption of family respon sibilities, a diffuse liberalism-humanitarianism is likely to be overshadowed by concern for specific others. Or, aging persons may become more conservative in the sense that their attitudes and values become more resistant to change, because each subsequent experience is a smaller proportion of the total background of experiences. Empirical evidence on the topic is not definitive; moreover, in view of intransigent methodological problems which plague the study of aging effects, the evidence may never be definitive. However, cohort analysis of United States survey sample data reveals that in recent years persons aging beyond young adulthood and beyond middle age have tended to become more liberal in many respects, in conformity with general societal trends. However, these people have tended to become more conservative in a relative sense since their liberalization has not kept pace with changes in the total adult population. Although the evidence suggests that attitudes probably become somewhat less susceptible to change as people grow older, there is scant evidence for any other contribution of aging to conservatism.
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Surveys spanning more than 35 years show that older Americans are less likely than younger citizens to endorse increased spending on public schools. The conventional explanation for this generational cleavage presumes that citizens’ interests change as they approach or transition into retirement—the absence of school-age children and fixed incomes combine to lower their interest in supporting spending increases for public education. We show that the conventional wisdom is incorrect, based on a confusion of age and cohort effects. Cohort-period analysis shows that every cohort becomes more supportive of educational spending, rather than less, as they reach their 60s and 70s. The implications are important, for they suggest that the predicted “gray peril” to educational spending will not occur. Rather, our results suggest that public support for educational spending will continue its remarkable rise.
Article
Cohort analyses in which the joint effects of aging, historical change and birth cohort membership are estimated for some dependent variable are often desirable on substantive grounds. Unless two of these three variables are viewed as indexing identical unmeasured causal factors, any analysis which makes estimates for only two of the three variables is subject to spurious results. But three-way cohort analysis is problematic because age, time period and birth cohort are linearly dependent on each other. Although this confounding makes estimation of some three-way cohort models impossible, this paper demonstrates that estimation is feasible in a number of such models. By exploring estimates derived for some of these models from hypothetical data for which the underlying effects are known, this paper also shows that meaningful three-way cohort analysis is difficult unless the researcher entertains relatively strong hypotheses about the nature of aging, period and cohort effects.
Article
This paper explores the "tree ring" hypothesis that reaching young adulthood during certain historical periods raises or lowers attitudes above and beyond the contribution of demographic variables and long-term cohort trends. It examines the deviations from long-term, linear, cohort trends for twenty-eight National Opinion Research Center (NORC) General Social Survey (GSS) attitude items in birth cohorts reaching age 16 in the 1950s, 1960s, and post-1960s. Long-term cohort trends are estimated from regressions of attitudes on cohorts reaching age 16 from 1917 to 1950 (net of year and five demographics). Popular impressions are supported in that "rings" (residuals) are more liberal for Americans reaching age 16 in the 1960s. However, those reaching age 16 in the 1950s are more liberal than their immediate predecessors, not more conservative. Furthermore, the three periods are not strikingly distinctive as the items showing positive rings tend to be the same in each period.
Article
Two generations (1972-1976 and 2006-2008) are compared using 43 replicated attitudes in the NORC General Social Survey. The report describes the generational changes (primarily liberal), weighs the causal impact of rising educational levels (liberal), cohort replacement (liberal) and period effects (mildly conservative). It argues that this long term causal mechanism is slowly eroding.
Article
This paper tests Stinchcombe's theory of “Demographic Explanations” using 38 demographics and 45 attitude items in the National Opinion Research Center's General Social Survey 1972–1996. The results support the theory in that multiple regressions with four appropriate demographics can explain about 40% of the change in the typical attitude and results are consistent across a variety of topics. Nevertheless, demographics seldom completely account for any particular trend. I argue that the theory is not as banal as it might seem since (1) it can and sometimes does fail; (2) its “multiplication principle” gives a new perspective on social change; and (3) it lays a burden of proof at the feet of more sophisticated approaches.
Article
We develop a mixed (fixed and random effects) models approach to the age-period-cohort (APC) analysis of micro data sets in the form of a series of the repeated cross-section sample surveys that are increasingly available to sociologists. This approach recognizes the multilevel structure of the individual-level responses. As a substantive illustration, we apply our proposed methodology to data on verbal test scores from 15 cross-sections of the General Social Survey, 1974–2000. These data have been the subject of recent debates in the sociological literature. We show how our approach can be used to shed new light on these debates by identifying and estimating age, period, and cohort components of change.
Article
Analysts often use different conceptual definitions of a cohort effect, and therefore different statistical methods, which lead to differing empirical results. A definition often used in sociology assumes that cohorts have unique characteristics confounded by age and period effects, whereas epidemiologists often conceive that period and age effects interact to produce cohort effects. The present study aims to illustrate these differences by estimating age, period, and cohort (APC) effects on obesity prevalence in the U.S. from 1971 to 2006 using both conceptual approaches. Data were drawn from seven cross-sectional waves of the National Health and Nutrition Examination Survey. Obesity was defined as BMI >or=30 for adults and >or=95th percentile for children under the age of 20. APC effects were estimated using the classic constraint-based method (first-order effects estimated and interpreted), the Holford method (first-order effects estimated but second-order effects interpreted), and median polish method (second-order effects are estimated and interpreted). Results indicated that all methods report significant age and period effects, with lower obesity prevalence in early life as well as increasing prevalence in successive surveys. Positive cohort effects for more recently born cohorts emerged based on the constraint-based model; when cohort effects were considered second-order estimates, no significant effects emerged. First-order estimates of age-period-cohort effects are often criticized because of their reliance on arbitrary constraints, but may be conceptually meaningful for sociological research questions. Second-order estimates are statistically estimable and produce conceptually meaningful results for epidemiological research questions. Age-period-cohort analysts should explicitly state the definition of a cohort effect under consideration. Our analyses suggest that the prevalence of obesity in the U.S. in the latter part of the 20th century rose across all birth cohorts, in the manner expected based on estimated age and period effects. As such, the absence or presence of cohort effects depends on the conceptual definition and therefore statistical method used.
Article
The culmination of one of the most famous long-term studies in American sociology, this examination of political attitudes among women who attended Bennington College in the 1930s and 1940s now spans five decades, from late adolescence to old age. Theodore Newcomb's 1930s interviews at Bennington, where the faculty held progressive views that contrasted with those of the conservative families of the students, showed that political orientations are still quite malleable in early adulthood. The studies in 1959–60 and 1984 show the persistence of political attitudes over the adult life span: the Bennington women, raised in conservative homes, were liberalized in their college years and have remained politically involved and liberal in their views, even in their sixties and seventies. Here the authors analyze the earlier studies and then introduce the 1984 data. Using data from National Election Studies for comparison, they show that the Bennington group is more liberal and hold its opinions more intensely than both older and younger Americans, with the exception of the generation that achieved political maturity in the 1960s. The authors point out that the majority of the Bennington women's children are of this 1945–54 generation and suggest that this factor played an important role in the stability of the women's political views. Within their own generation, the Bennington women also appear to hold stronger political views than other college-educated women. Innovative in its methodology and extremely rich in its data, this work will contribute to developmental and social psychology, sociology, political science, women's studies, and gerontology. Duane F. Alwin is professor of sociology and research scientist at the Institute for Social Research, University of Michigan. Ronald L. Cohen is professor of psychology in the Social Science Division, Bennington College. Theodore M. Newcomb (1903-1984) was professor emeritus of psychology and sociology at the University of Michigan and had taught at Bennington College from 1934 to 1941.
Article
The relationship of age to voting turnout over a 20-year period is analyzed in a multivariate model with controls for causal covariates and “period” and “cohort” effects. The observed curvilinear pattern of turnout with age remains after holding rival factors constant, but the apparent curvilinearity of cohort membership disappears. Instead, a pattern of decreasing turnout among successively younger birth cohorts is found, suggesting differences in the political socialization of voting obligations between the nineteenth and twentieth centuries.
Article
Society persists despite the mortality of its individual members, through processes of demographic metabolism and particularly the annual infusion of birth cohorts. These may pose a threat to stability but they also provide the opportunity for societal transformation. Each birth cohort acquires coherence and continuity from the distinctive development of its constituents and from its own persistent macroanalytic features. Successive cohorts are differentiated by the changing content of formal education, by peer-group socialization, and by idiosyncratic historical experience. Young adults are prominent in war, revolution, immigration, urbanization and technological change. Since cohorts are used to achieve structural transformation and since they manifest its consequences in characteristic ways, it is proposed that research be designed to capitalize on the congruence of social change and cohort identification.
Article
The author reexamines the hypothesis developed by Norman Ryder that the birth and death of individuals constitutes a massive process of personnel replacement that holds enormous potential for social change. "In this paper I describe and illustrate six possible ways to estimate cohort (personnel) replacement effects: three based on algebra (Kitagawa's two-component method, forward partitioning, and backward partitioning), and three based on regression (regression standardization, survey metric analysis, and linear decomposition). Assuming monotonic change, regression methods typically are better, because standard algebraic methods are ill suited for analyzing change with regard to birth cohorts that enter or exit during the period studied."
A New Compendium of Trends in the General Social Survey
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Changing Same-Sex Marriage Attitudes in America From 1988 Through 2010
  • Dawn Baunach
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Schoolbook Simplification and Its Relation to the Decline in Sat-Verbal Scores
  • Donald P Hayes
  • Loreen T Wolfer
  • Michael F Wolfe