Abstract
In the theory of syndemics, diseases are hypothesized to co-occur in particular temporal or geographical contexts due to harmful social conditions (disease concentration) and to interact at the level of populations and individuals, with mutually enhancing deleterious consequences for HIV risk (disease interaction). Since its original elaboration more than 20 years ago, the epidemiological literature on syndemic problems has followed a questionable trajectory, stemming from the use of a specific type of regression model specification that conveys very little information about the theory of syndemics. In this essay we critically review the dominant approaches to modeling in the literature on syndemics; highlight the stringent assumptions implicit in these models; and describe some meaningful public health implications of the resulting analytical ambiguities. We conclude with specific recommendations for empirical work in this area moving forward.
Keywords: AIDS/HIV, social determinants
Introduction
In Singer’s [1–3] theory of syndemics, diseases are hypothesized to co-occur in particular temporal or geographical contexts due to harmful social conditions (disease concentration) and to interact at the level of populations and individuals, with mutually enhancing deleterious consequences for HIV risk (disease interaction). This theory follows in the same vein as those deployed to explain the social patterning of co-occurring health risks among the marginalized and dispossessed [4] and the ways in which these historically ingrained forces exert conjoint influences on health [5,6]. Separately, the literature on multimorbidity [7,8] and dual diagnosis [9,10] have also highlighted the adverse health consequences of mutually enhancing and/or mutually causal psychosocial problems.
Since its original elaboration more than 20 years ago, the epidemiological literature on syndemics can best be characterized as following a problematic trajectory. While psychosocial and structural problems commonly and undoubtedly do cluster among vulnerable populations [5,6], it remains unclear whether they co-occur independently, whether they co-occur and are mutually enhancing (i.e., interact with each other), or whether they co-occur and are mutually causal (i.e., cause each other). For this reason, in the remainder of this essay we use the term “syndemic problems” to refer specifically to co-occurring and mutually enhancing psychosocial and structural problems, while retaining the more cumbersome term “psychosocial and structural problems” to refer to settings in which these problems have not necessarily been shown to be mutually enhancing or mutually causal. Most studies that have been conducted with the expressed aim of generating empirical support for the theory of syndemics have not operationalized the concept of disease interaction in a way that actually supports the theory’s predictions about mutually enhancing epidemics [11]. These findings are then frequently leveraged to argue that there is an evidence-based need for multi-component interventions that address multiple co-occurring psychosocial and structural problems in order to effectively address or prevent HIV-related health disparities [12].
The co-occurrence of psychosocial and structural problems, and the excess disease burden experienced by persons in vulnerable subgroups (e.g., homeless and marginally housed women [13–15]), requires our urgent attention. However, this objective would be most effectively undertaken if informed by an analytically clear approach. Therefore, the purpose of our essay is twofold: (a) to mathematically highlight the assumptions implicit in much of the empirical work on syndemics; and (b) to describe some meaningful public health implications of the resulting analytical ambiguities.
Modeling Interactions between Co-Occurring Psychosocial and Structural Problems
For the sake of illustration, we will consider a hypothetical study of homeless and marginally housed women, a vulnerable population in which violence, food insecurity, and mental illness frequently co-occur [13–15]. The extent to which these and other psychosocial and structural problems co-occur has typically been represented in the literature with the aid of Venn diagrams [13]; correlation matrices demonstrating nonzero, statistically significant values on the off-diagonals [16]; or similar matrices of unadjusted odds ratios [17]. Among the 40 studies included in the systematic review by Tsai & Burns [11], 27 (68%) demonstrated the co-occurrence of psychosocial and structural problems using one of these representations. Such analyses demonstrate that psychosocial and structural problems co-occur in at-risk populations -- thereby supporting one aspect of the theory of syndemics -- but do not necessarily implicate synergy or mutual causality.
We might fit the below linear regression model to the data:
(1) |
where Y represents a binary adverse HIV-related outcome such as HIV infection or HIV transmission risk behavior, X1 represents violent victimization, X2 represents food insecurity, and X3 represents mental illness. Although the outcome is binary, the linear regression model is suitable for our purposes because: (a) the estimated regression coefficients are of primary interest and can be straightforwardly interpreted as marginal effects in a linear model [18,19]; (b) the predicted outcome probabilities are of secondary interest, so predicted probabilities lying outside of the [0,1] interval are not particularly troubling [18,19]; and (c) robust estimates of variance can be used to correct the standard errors for heteroskedasticity [20,21]. With the strong assumption of no observed confounding, which is commonly and implicitly invoked in this literature, this regression model estimates the causal relationship between the psychosocial and structural problems and HIV risk.
By definition, the covariates in Eq. (1) are said to have “additive” associations with the outcome. If b1, b2, and b3 (i.e., the estimates of β1, β2, and β3) are positive and statistically significant, then maximizing HIV risk reduction in this population would require addressing violence, food insecurity, and mental illness -- either through three separate interventions or through a single multi-component intervention. Because the effects of these co-occurring epidemics are simply additive, Eq. (1) does not implicate a syndemic: all three epidemics need not be addressed jointly in order to reduce HIV risk. Rather, one could (for example) implement a food security intervention with some reasonable expectation of achieving some degree of HIV risk reduction even if violence and mental illness continued unabated.
For many reasons, one might suspect that violence, food insecurity, and mental illness may serve as effect modifiers for each other. Evidence from a variety of contexts worldwide suggests, for example, that food insecurity is associated with HIV risk among women [22], but the estimated association between food insecurity and HIV risk could be even greater among women who are subjected to violence (which is itself independently associated with HIV risk [23,24]). A fully saturated linear regression model that captured the potential interactions between these psychosocial and structural problems could be represented as follows:
(2) |
If, for example, b1, b2, and b4 are positive and statistically significant, then one could achieve some degree of HIV risk reduction by implementing a food security intervention in isolation, even if violence and mental illness continued unabated. However, an intervention to enhance food security would be predicted to have a greater preventive impact if bundled with an intervention to reduce violence than would otherwise be predicted by Eq. (1) where no synergistic effects are observed. Eq. (2) also makes it clear that if b1, b2, b3, b4, b5, and b6 are estimated to be close to zero, and b7 is positive and statistically significant, then the syndemic of X1, X2, and X3 must be jointly addressed in order to reduce HIV risk. That is, because the main effects are all null, public health interventions designed to eliminate the syndemic of X1, X2, and X3 are perfect complements -- implying that no single intervention would be effective if implemented in isolation.
These examples clearly demonstrate the potential utility of the saturated regression model in describing how psychosocial and structural problems potentially interact with each other to worsen HIV risk. The manner in which they interact (or not) has implications for the types of interventions needed to reduce HIV risk, and whether these interventions necessarily need to be bundled to maximize their effectiveness. Clearly the simple additivity of Eq. (1) does not obviate the need to address all three epidemics. Those interested in maximizing HIV risk reduction in this vulnerable population should still be motivated to address violence, food insecurity, and mental illness, whether or not they interact with each other.
Dominant Approaches to Modeling in the Literature on Syndemics
As summarized by Tsai & Burns [11], most studies in the syndemics literature have not subjected their data to the empirical test described in Eq. (2). Instead, in 31 of the 40 studies (78%) reviewed, the analysis was based on an ordinal variable created as follows:
(3) |
Here, X4 represents the total number i of psychosocial and structural problems experienced by each individual. Again following our illustration, a woman subjected to violent victimization and food insecurity, but not mental illness, would be assigned X4 = 2. In many ways, this “sum score,” or “count variable,” resembles the comorbidity indices frequently used in health services research [25,26], but without the more sophisticated weighting procedures that typically accompany the development of such indices. The sum score is often included in regression models as a continuous variable (e.g., Mustanski et al. [27]):
(4) |
When b8 is positive and statistically significant, the data are interpreted as demonstrating “interplay” (p.1269) between the psychosocial and structural problems [28].
Alternatively, the sum score has been specified as an ordered categorical variable (e.g., Mimiaga et al. [29]):
(5) |
where X4,n=i = 1 if n = i, and zero otherwise, denoting the presence of 1, 2, or 3 psychosocial and structural problems (with 0 problems serving as the reference category). By construction, X4,n=1 + X4,n=2 + X4,n=3 = 1. When b9, b10, and b11 are positive and statistically significant, and b11 > b10 > b9, this pattern of estimates is also interpreted as evidence of “additive interplay” (p.941) between psychosocial and structural problems that magnifies vulnerability to HIV risk [30].
These interpretations of the sum score neglect several critical assumptions. Substituting for β2 and β3 in Eq. (1),
(6) |
it becomes apparent that b8 does not provide evidence of synergy but rather simply encodes the assumptions that that β1 = β2 = β3. However, these assumptions are unnecessary because they can be empirically proven (or disproven) using Eq. (1) to show that b1 = b2 = b3. This is indeed the approach that some investigators have followed. For example, in the Adverse Childhood Experiences study, Anda et al. [31] first estimated Eq. (1) and then, once it was empirically demonstrated that b1, b2, and b3 were comparable, created the sum score and estimated Eq. (4). The literature on early childhood adversities is rife with similar examples [32–37]. These studies often bear a striking resemblance to studies in the literature on syndemics: the co-occurrence of adverse childhood experiences is represented in matrix format, and the sum score is specified as a continuous variable in a regression model like Eq. (4) or as an ordered categorical variable in a regression model like Eq. (5). The methodological advantages and disadvantages of this approach have been comprehensively discussed [38]. A critical point of departure, however, is that while b8 may provide important information about the effects of cumulative adversities, it does not provide information about synergistic interactions between these adversities. Stated simply, sum scores can help to demonstrate that being subjected to multiple psychosocial and structural problems is associated with adverse health outcomes -- not that they interact with each other to worsen health outcomes.
To provide a clearer illustration, consider a scenario in which a syndemic is known with certainty not to exist, i.e., the data are generated through the additive process of Eq. (1). Assuming, with no loss of generality, that all three psychosocial and structural problems are equally prevalent in the sample population, the expected value of Y for each value of the sum score is as follows:
(7) |
It is clear from Eq. (7) that Y is increasing in X4. Thus, when b1, b2, and b3 are positive, the estimated coefficient on the sum score covariate (b8) in Eq. (4) will also be positive, as the implied effect on Y increases as each additional psychosocial and/or structural problem is added to the model. In the literature on syndemics, when b8 in Eq. (4) is positive and statistically significant, the data are interpreted as demonstrating “interplay” (p.1269) between the psychosocial and structural problems [28]. But such an interpretation of the coefficient in our hypothetical example would be inconsistent with the data-generating process (which is known with certainty in this example to be additive). Therefore, if evidence in support of additivity is being sought, there is no mathematical reason to prefer Eqs. (4) or (5) over Eq. (1).
It is worth noting that if b9 and b10 are estimated to be close to zero and b11 is positive and statistically significant, then the results obtained using Eq. (5) are identical to those that would be obtained using Eq. (2) when b1, b2, b3, b4, b5, and b6 are estimated to be close to zero, and b7 is positive and statistically significant. Given such a pattern of estimates from Eq. (5), the data imply that interventions designed to eliminate the syndemic of X1, X2, and X3 are perfect complements and must be implemented jointly in order to reduce HIV risk. However, Eq. (5) still imposes a number of strong assumptions on several of the product terms in Eq. (2), namely that β4 = β5 = β6 = 0. These assumptions could potentially be justified on the basis of prior theory, but we are unaware of any studies in the literature that have made such appeals to theory. Furthermore, in the event that other patterns of findings are obtained for b9 and b10 (even assuming β4 = β5 = β6 = 0), it is unclear whether the sum score specification can provide evidence in support of the theory of syndemics [11].
To summarize, the sum score conveys very little information about the theory of syndemics: given a known data-generating process that explicitly excludes the possibility of interactions between the covariates, the estimated coefficient b8 on the sum score in Eq. (4) can nonetheless be positive and statistically significant. More flexibly specifying the sum score as a categorical variable does not resolve this problem or other ambiguities.
The Public Health Case for Analytical Clarity
A close reading of Singer’s [1–3] work yields an understanding in which Eq. (2) should be regarded as the preferred approach to empirical modeling in this literature: “At the population level, the term syndemic refers to two or more epidemics interacting synergistically and contributing as a result to excess disease load in a population... At the individual level, the term syndemic refers to the health consequences of the biological interactions that occur when two or more diseases or health conditions are co-present in multiple individuals within a population” [3] (pp.39–40, emphases added). Moreover, his own work specifically excludes the sum score specification as an adequate test of his theory. For example, in reporting data on disease counts among persons who inject drugs, Singer & Clair [39] explicitly noted, “While the data do not enable an assessment of disease interaction, collecting biological and health data that would allow such an assessment with this population seems warranted” (p.433, emphasis added).
The sum score approach to modeling, which currently dominates the literature [11], does not generate estimates with clear programmatic implications for public health policy to address syndemics. The public health implications of these ambiguities are threefold. First, while it is clear that independently co-occurring epidemics of psychosocial and structural problems would present an occasion for public health concern, it is empirically much less clear how much more concern is warranted for truly syndemic problems. Again following our illustration above, researchers and program implementers would agree that an epidemic of violence among homeless and marginally housed women is undesirable [40], and that an independently co-occurring epidemic of food insecurity in the same population is undesirable [41]. But if violence and food insecurity co-occur and are mutually enhancing, how much more undesirable (in terms of their impact on HIV-related outcomes) is such a syndemic compared to a scenario in which these epidemics of violence and food insecurity co-occur independently of each other? The answer to this question remains unanswered by Eqs. (4) and (5).
Second, if syndemic problems actually do interact in ways that synergistically elevate HIV risk, but Eqs. (4) and (5) continue to dominate the literature, then the field is missing critical opportunities to identify these synergies and support the development of appropriately targeted interventions. For example, if Eq. (2) suggests that intimate partner violence and food insecurity interact synergistically to magnify HIV acquisition risk among homeless and marginally housed women, then an intervention to enhance food security would be predicted to have a greater impact on reducing HIV risk if bundled with an intervention to reduce violence than would otherwise be predicted in a model where no synergistic effects were observed. But this finding also implies that a food security intervention administered in isolation would have a greater impact on reducing HIV risk if provided to women experiencing intimate partner violence compared with a food security intervention provided to women not experiencing violence. In the setting of scarce resources, food security interventions might be preferentially deployed in order to maximize HIV prevention efforts. Such investigations are particularly warranted when budgetary considerations may preclude larger interventions but still allow for effective interventions targeting specific domains or specific populations. Recommendations of this nature, however, are rarely issued in the syndemics literature, perhaps owing to the empirical ambiguities described above.
Third, although estimates from Eqs. (4) and (5) are typically interpreted as supporting calls for multi-component interventions that address multiple co-occurring psychosocial and structural problems [12], it is not immediately apparent that an intervention ought to simultaneously target each of the co-occurring psychosocial and structural problems (classically described as the “treatment package strategy” [42]). The optimal strategy should depend on their causal structure. For example, an alternative strategy might be to target the problems sequentially, particularly if improvement in one domain increases the probability of response to an unrelated intervention targeting another domain [43,44]. Another possible strategy would be to target one problem with the expectation of observing collateral intervention effects in other untreated domains of health or wellbeing (e.g., treating depression to improve HIV treatment adherence and reduce stigma [45,46]). A third option would be to adopt the fractional factorial design approach, in which inactive components are screened out of a multi-component intervention so that a costly, full factorial randomized controlled trial can be avoided [47–50]. Doing so may result in an intervention that leaves some aspects of the syndemic unaddressed, but that may be an acceptable price to pay for the ability to gain some traction on the other aspects of the syndemic (especially if observational studies have not conclusively demonstrated that the different intervention components are indeed perfect complements). While the literature on multiple health behavior change interventions has explored these and other types of configurations in the context of primary care and preventive cardiology [51–53], the findings and lessons learned from this body of work are rarely invoked (see Wim et al. [54] for a recent example) by investigators seeking feasible entry points to effectively address syndemics in vulnerable populations.
Addressing Concerns about Sample Size
As noted by Stall et al. [55], small sample sizes may preclude full elucidation of all of the interaction effects in Eq. (2), potentially resulting in wide confidence intervals for the parameters of interest. The issue of statistical imprecision is exacerbated by potential collinearity between the psychosocial and structural problems of interest (which is likely to occur given the very hypothesis motivating research on syndemics, i.e., that these problems frequently co-occur) [11]. The public health implications of this type II error are not insubstantial. Interaction terms that are not statistically significant may leave investigators unable to precisely identify syndemics that truly exist. Investigators may also falsely conclude that a syndemic consists of the co-occurrence and synergistic interaction of fewer epidemics than is actually the case. While concerns about type II error are valid, they may be overstated. Tsai & Burns [11] showed that nearly half of the studies included in their review would have permitted fully saturated regression models given the sample sizes and conventional rules of thumb.
Despite these reassurances, concerns about statistical power may remain. Researchers limited by statistical power may be able to mitigate these concerns in several ways. First, Eq. (2) can be fitted subject to linear equality restrictions, which would reduce the number of parameters to be estimated [56,57]. As is apparent in the equations above, these linear restrictions simply encode the assumptions that already predominate in the syndemics literature but which should be formally motivated on the basis of conceptual considerations or previously published empirical work. For example, researchers investigating a candidate pool of six psychosocial and structural problems may restrict the coefficients on some of the two-, three-, four-, and five-way product terms to be equal to zero. To promote transparency, the hypotheses motivating these linear restrictions can be prospectively registered in prespecified analysis plans [58–60] and/or the data and statistical code uploaded to an online archive [61,62].
Second, researchers can group some of the variables into broader clusters (e.g., mental health, socioeconomic, etc) [32,63], especially for variables whose correlation approaches unity [64]. This maneuver can reduce the number of parameters to be estimated in Eq. (2).
Third, even if valid concerns persist about statistical power to reject the null hypothesis for any specific regression coefficient, researchers could still estimate Eq. (2) while employing joint significance tests to determine whether some of the product terms are collectively important. Demonstrating the joint statistical significance of a series of two- or three-way product terms could provide concrete evidence to motivate the need for studies with larger sample sizes.
Fourth, researchers who still seek to estimate Eq. (5) on the basis of concerns about statistical power should use statistical tests for nested models to test for differences in explanatory power between Eq. (2) and Eq. (5). For example, in the setting of regression models fitted using the method of maximum likelihood, researchers could estimate Eq. (2) and Eq. (5) and then perform a likelihood ratio test of the null hypothesis that the parameter vector satisfies the constraints implied in the decision to estimate Eq. (5). Failure to reject the null could support the use of the more restricted specification. However, rejection of the null would speak to important differences in the lower-order product terms that are obfuscated in Eq. (5), and researchers would still be provided with valuable information about the true underlying structure of the model.
Recommendations
Our recommendations for empirical research on syndemics can be summarized as follows:
If the primary analytic objective is to show that psychosocial and structural problems are additively associated with HIV risk, then Eq. (1) should be used.
If the primary analytic objective is to understand the health and mental health impacts of cumulative adversities, then Eq. (4) can be used, but the comparability of the individual adversities should first be empirically demonstrated using Eq. (1) to justify the use of Eq. (4).
If the primary analytic objective is to provide evidence of disease interaction, then Eq. (2) should be used, because it is the only specification that fully and flexibly conveys important information about how syndemic problems interact to worsen HIV risk.
Eq. (4) cannot convey meaningful information about interactive effects and should be abandoned entirely in the literature on syndemics.
Eq. (5) may, under certain conditions, provide more information than Eq. (4), but the strong assumptions required of the data suggest Eq. (2) is still to be preferred.
We hope these recommendations, if followed, will maximize study resources toward understanding how syndemics adversely affect HIV risk in vulnerable populations and how interventions can best be deployed to mitigate these risks [65].
Acknowledgments
Source of Funding: No specific funding was received for the conduct of this study. The authors acknowledge salary support through U.S. National Institutes of Health K23MH096620 (A.C.T.). The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
References
- 1.Singer M. AIDS and the health crisis of the U.S. urban poor; the perspective of critical medical anthropology. Soc Sci Med. 1994;39(7):931–948. doi: 10.1016/0277-9536(94)90205-4. [DOI] [PubMed] [Google Scholar]
- 2.Singer M. A dose of drugs, a touch of violence, a case of AIDS: conceptualizing the SAVA syndemic. Free Inq Creative Sociol. 1996;24(2):99–110. [Google Scholar]
- 3.Singer M. A dose of drugs, a touch of violence, a case of AIDS, part 2: further conceptualizing the SAVA syndemic. Free Inq Creative Sociol. 2006;34(1):39–53. [Google Scholar]
- 4.Link BG, Phelan J. Social conditions as fundamental causes of disease. J Health Soc Behav. 1995;35(Extra Issue):80–94. [PubMed] [Google Scholar]
- 5.Farmer P, Lindenbaum S, Good MJ. Women, poverty and AIDS: an introduction. Cult Med Psychiatry. 1993;17(4):387–397. doi: 10.1007/BF01379306. [DOI] [PubMed] [Google Scholar]
- 6.Farmer P. Women, poverty, and AIDS. In: Farmer P, Connors M, Simmons J, editors. Women, poverty and AIDS: sex, drugs, and structural violence. Monroe: Common Courage Press; 1996. pp. 3–38. [Google Scholar]
- 7.van den Akker M, Buntinx F, Knottnerus JA. Comorbidity or multimorbidity; what’s in a name? A review of literature. Eur J Gen Pract. 1996;2(2):65–70. [Google Scholar]
- 8.van den Akker M, Buntinx F, Metsemakers JF, Roos S, Knottnerus JA. Multimorbidity in general practice: prevalence, incidence, and determinants of co-occurring chronic and recurrent diseases. J Clin Epidemiol. 1998;51(5):367–375. doi: 10.1016/s0895-4356(97)00306-5. [DOI] [PubMed] [Google Scholar]
- 9.Lehman AF, Myers CP, Corty E. Assessment and classification of patients with psychiatric and substance abuse syndromes. Hosp Community Psychiatry. 1989;40(10):1019–1025. doi: 10.1176/ps.40.10.1019. [DOI] [PubMed] [Google Scholar]
- 10.Drake RE, McLaughlin P, Pepper B, Minkoff K. Dual diagnosis of major mental illness and substance disorder: an overview. New Dir Ment Health Serv. 1991;(50):3–12. doi: 10.1002/yd.23319915003. [DOI] [PubMed] [Google Scholar]
- 11.Tsai AC, Burns BFO. Syndemics of psychosocial problems and HIV risk: a systematic review of empirical tests of the disease interaction concept. Soc Sci Med. 2015;139(1):26–35. doi: 10.1016/j.socscimed.2015.06.024. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 12.Operario D, Nemoto T. HIV in transgender communities: syndemic dynamics and a need for multicomponent interventions. J Acquir Immune Defic Syndr. 2010;55(Suppl 2):S91–93. doi: 10.1097/QAI.0b013e3181fbc9ec. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13.Illangasekare S, Burke J, Chander G, Gielen A. The syndemic effects of intimate partner violence, HIV/AIDS, and substance abuse on depression among low-income urban women. J Urban Health. 2013;90(5):934–947. doi: 10.1007/s11524-013-9797-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 14.Coughlin SS. Invited commentary: co-occurring health conditions among women living with profound life challenges. Am J Epidemiol. 2011;174(5):523–525. doi: 10.1093/aje/kwr207. Discussion 526–527. [DOI] [PubMed] [Google Scholar]
- 15.Tsai AC, Weiser SD, Dilworth SE, Shumway M, Riley ED. Violent victimization, mental health, and service utilization outcomes in a cohort of homeless and unstably housed women living with or at risk of becoming infected with HIV. Am J Epidemiol. 2015;181(10):817–826. doi: 10.1093/aje/kwu350. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16.Batchelder AB. dissertation. New York: Yeshiva University; 2012. Psychosocial syndemics of women living with and at-risk for HIV/AIDS. [Google Scholar]
- 17.Pitpitan EV, Kalichman SC, Eaton LA, et al. Co-occurring psychosocial problems and HIV risk among women attending drinking venues in a South African township: a syndemic approach. Ann Behav Med. 2013;45(2):153–162. doi: 10.1007/s12160-012-9420-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 18.Wooldridge JM. Econometric analysis of cross section and panel data. Cambridge, Massachusetts: MIT Press; 2002. [Google Scholar]
- 19.Angrist JD, Pischke J-S. Mostly harmless econometrics: an empiricist’s companion. Princeton: Princeton University Press; 2009. [Google Scholar]
- 20.Huber PJ. The behavior of maximum likelihood estimates under nonstandard conditions. Proceedings of the fifth Berkeley Symposium on Mathematical Statistics and Probability; Berkeley: University of California Press; 1967. pp. 221–233. [Google Scholar]
- 21.White H. A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica. 1980;48(4):817–830. [Google Scholar]
- 22.Weiser SD, Leiter K, Bangsberg DR, et al. Food insufficiency is associated with high-risk sexual behavior among women in Botswana and Swaziland. PLoS Med. 2007;4(10):1589–1597. doi: 10.1371/journal.pmed.0040260. discussion 1598. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 23.Tsai AC, Subramanian SV. Proximate context of gender-unequal norms and women’s HIV risk in sub-Saharan Africa. AIDS. 2012;26(3):381–386. doi: 10.1097/QAD.0b013e32834e1ccb. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.Jewkes RK, Dunkle K, Nduna M, Shai N. Intimate partner violence, relationship power inequity, and incidence of HIV infection in young women in South Africa: a cohort study. Lancet. 2010;376(9734):41–48. doi: 10.1016/S0140-6736(10)60548-X. [DOI] [PubMed] [Google Scholar]
- 25.Charlson ME, Pompei P, Ales KL, MacKenzie CR. A new method of classifying prognostic comorbidity in longitudinal studies: development and validation. J Chronic Dis. 1987;40(5):373–383. doi: 10.1016/0021-9681(87)90171-8. [DOI] [PubMed] [Google Scholar]
- 26.Elixhauser A, Steiner C, Harris DR, Coffey RM. Comorbidity measures for use with administrative data. Med Care. 1998;36(1):8–27. doi: 10.1097/00005650-199801000-00004. [DOI] [PubMed] [Google Scholar]
- 27.Mustanski B, Garofalo R, Herrick A, Donenberg G. Psychosocial health problems increase risk for HIV among urban young men who have sex with men: preliminary evidence of a syndemic in need of attention. Ann Behav Med. 2007;34(1):37–45. doi: 10.1080/08836610701495268. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 28.Biello KB, Colby D, Closson E, Mimiaga MJ. The syndemic condition of psychosocial problems and HIV risk among male sex workers in Ho Chi Minh City, Vietnam. AIDS Behav. 2014;18(7):1264–1271. doi: 10.1007/s10461-013-0632-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29.Mimiaga MJ, O’Cleirigh C, Biello KB, et al. The effect of psychosocial syndemic production on 4-year HIV incidence and risk behavior in a large cohort of sexually active men who have sex with men. J Acquir Immune Defic Syndr. 2015;68(3):329–336. doi: 10.1097/QAI.0000000000000475. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 30.Stall R, Mills TC, Williamson J, et al. Association of co-occurring psychosocial health problems and increased vulnerability to HIV/AIDS among urban men who have sex with men. Am J Public Health. 2003;93(6):939–942. doi: 10.2105/ajph.93.6.939. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 31.Anda RF, Croft JB, Felitti VJ, et al. Adverse childhood experiences and smoking during adolescence and adulthood. JAMA. 1999;282(17):1652–1658. doi: 10.1001/jama.282.17.1652. [DOI] [PubMed] [Google Scholar]
- 32.Sameroff AJ, Seifer R, Barocas R, Zax M, Greenspan S. Intelligence quotient scores of 4-year-old children: social-environmental risk factors. Pediatrics. 1987;79(3):343–350. [PubMed] [Google Scholar]
- 33.Turner RJ, Lloyd DA. Lifetime traumas and mental health: the significance of cumulative adversity. J Health Soc Behav. 1995;36(4):360–376. [PubMed] [Google Scholar]
- 34.Felitti VJ, Anda RF, Nordenberg D, et al. Relationship of childhood abuse and household dysfunction to many of the leading causes of death in adults. The Adverse Childhood Experiences (ACE) Study. Am J Prev Med. 1998;14(4):245–258. doi: 10.1016/s0749-3797(98)00017-8. [DOI] [PubMed] [Google Scholar]
- 35.Green JG, McLaughlin KA, Berglund PA, et al. Childhood adversities and adult psychiatric disorders in the national comorbidity survey replication I: associations with first onset of DSM-IV disorders. Arch Gen Psychiatry. 2010;67(2):113–123. doi: 10.1001/archgenpsychiatry.2009.186. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 36.Montez JK, Hayward MD. Cumulative childhood adversity, educational attainment, and active life expectancy among U.S. adults. Demography. 2014;51(2):413–435. doi: 10.1007/s13524-013-0261-x. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 37.Rutter M, Quinton D. Psychiatric disorder: ecological factors and concepts of causation. In: McGurk H, editor. Ecological factors in human development. Amsterdam: North-Holland Publishing Co; 1977. pp. 173–187. [Google Scholar]
- 38.Luthar SS. Annotation: methodological and conceptual issues in research on childhood resilience. J Child Psychol Psychiatry. 1993;34(4):441–453. doi: 10.1111/j.1469-7610.1993.tb01030.x. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 39.Singer M, Clair S. Syndemics and public health: reconceptualizing disease in bio-social context. Med Anthropol Q. 2003;17(4):423–441. doi: 10.1525/maq.2003.17.4.423. [DOI] [PubMed] [Google Scholar]
- 40.Riley ED, Cohen J, Knight KR, Decker A, Marson K, Shumway M. Recent violence in a community-based sample of homeless and unstably housed women with high levels of psychiatric comorbidity. Am J Pub Health. 2014;104(9):1657–1663. doi: 10.2105/AJPH.2014.301958. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 41.Riley ED, Moore K, Sorensen JL, Tulsky JP, Bangsberg DR, Neilands TB. Basic subsistence needs and overall health among human immunodeficiency virus-infected homeless and unstably housed women. Am J Epidemiol. 2011;174(5):515–522. doi: 10.1093/aje/kwr209. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 42.West SG, Aiken LS, Todd M. Probing the effects of individual components in multiple component prevention programs. Am J Community Psychol. 1993;21(5):571–605. doi: 10.1007/BF00942173. [DOI] [PubMed] [Google Scholar]
- 43.King TK, Marcus BH, Pinto BM, Emmons KM, Abrams DB. Cognitive-behavioral mediators of changing multiple behaviors: smoking and a sedentary lifestyle. Prev Med. 1996;25(6):684–691. doi: 10.1006/pmed.1996.0107. [DOI] [PubMed] [Google Scholar]
- 44.Spring B, Pagoto S, Pingitore R, Doran N, Schneider K, Hedeker D. Randomized controlled trial for behavioral smoking and weight control treatment: effect of concurrent versus sequential intervention. J Consult Clin Psychol. 2004;72(5):785–796. doi: 10.1037/0022-006X.72.5.785. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 45.Tsai AC, Weiser SD, Petersen ML, Ragland K, Kushel MB, Bangsberg DR. A marginal structural model to estimate the causal effect of antidepressant medication treatment on viral suppression among homeless and marginally housed persons with HIV. Arch Gen Psychiatry. 2010;67(12):1282–1290. doi: 10.1001/archgenpsychiatry.2010.160. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 46.Katz IT, Tsai AC. Psychological therapy to improve HIV care and reduce stigma. Lancet HIV. 2015;2(5):e172–e173. doi: 10.1016/S2352-3018(15)00044-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 47.Collins LM, Murphy SA, Nair VN, Strecher VJ. A strategy for optimizing and evaluating behavioral interventions. Ann Behav Med. 2005;30(1):65–73. doi: 10.1207/s15324796abm3001_8. [DOI] [PubMed] [Google Scholar]
- 48.Nair V, Strecher V, Fagerlin A, et al. Screening experiments and the use of fractional factorial designs in behavioral intervention research. Am J Public Health. 2008;98(8):1354–1359. doi: 10.2105/AJPH.2007.127563. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 49.Chakraborty B, Collins LM, Strecher VJ, Murphy SA. Developing multicomponent interventions using fractional factorial designs. Stat Med. 2009;28(21):2687–2708. doi: 10.1002/sim.3643. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 50.Collins LM, Chakraborty B, Murphy SA, Strecher V. Comparison of a phased experimental approach and a single randomized clinical trial for developing multicomponent behavioral interventions. Clin Trials. 2009;6(1):5–15. doi: 10.1177/1740774508100973. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 51.Goldstein MG, Whitlock EP, DePue J Planning Committee of the Addressing Multiple Behavioral Risk Factors in Primary Care P. Multiple behavioral risk factor interventions in primary care. Summary of research evidence. Am J Prev Med. 2004;27(2 Suppl):61–79. doi: 10.1016/j.amepre.2004.04.023. [DOI] [PubMed] [Google Scholar]
- 52.Prochaska JJ, Prochaska JO. A review of multiple health behavior change interventions for primary prevention. Am J Lifestyle Med. 2011;5(3):208–221. doi: 10.1177/1559827610391883. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 53.Strecher VJ, McClure JB, Alexander GL, et al. Web-based smoking-cessation programs: results of a randomized trial. Am J Prev Med. 2008;34(5):373–381. doi: 10.1016/j.amepre.2007.12.024. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 54.Wim VB, Christiana N, Marie L. Syndemic and other risk factors for unprotected anal intercourse among an online sample of Belgian HIV negative men who have sex with men. AIDS Behav. 2014;18(1):50–58. doi: 10.1007/s10461-013-0516-y. [DOI] [PubMed] [Google Scholar]
- 55.Stall R, Coulter RWS, Friedman MR, Plankey MW. Commentary on “Syndemics of psychosocial problems and HIV risk: A systematic review of empirical tests of the disease interaction concept” by A. Tsai and B. Burns Soc Sci Med. 2015;145(1):129–131. doi: 10.1016/j.socscimed.2015.07.016. [DOI] [PubMed] [Google Scholar]
- 56.Durbin J. A note on regression when there is extraneous information about one of the coefficients. J Am Stat Assoc. 1953;48(264):799–808. [Google Scholar]
- 57.Chipman JS, Rao MM. The treatment of linear restrictions in regression analysis. Econometrica. 1964;32(1–2):198–209. [Google Scholar]
- 58.Loder E, Groves T, Macauley D. Registration of observational studies. BMJ. 2010;340:c950. doi: 10.1136/bmj.c950. [DOI] [PubMed] [Google Scholar]
- 59.The PLOS Medicine Editors. Observational studies: getting clear about transparency. PLoS Med. 2014;11(8):e1001711. doi: 10.1371/journal.pmed.1001711. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 60.Should protocols for observational research be registered? Lancet. 2010;375(9712):348. doi: 10.1016/S0140-6736(10)60148-1. [DOI] [PubMed] [Google Scholar]
- 61.Ashenfelter O, Haveman RH, Riley JG, Taylor JT. Editorial statement. Am Econ Rev. 1986;76(4):v. [Google Scholar]
- 62.Bernanke BS. Editorial statement. Am Econ Rev. 2004;94(1):404. [Google Scholar]
- 63.Friedman EM, Montez JK, Sheehan CM, Guenewald TL, Seeman TE. Childhood adversities and adult cardiometabolic health: does the quantity, timing, and type of adversity matter? J Aging Health. 2015 doi: 10.1177/0898264315580122. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 64.Arata CM, Langhinrichsen-Rohling J, Bowers D, O’Brien N. Differential correlates of multi-type maltreatment among urban youth. Child Abuse Negl. 2007;31(4):393–415. doi: 10.1016/j.chiabu.2006.09.006. [DOI] [PubMed] [Google Scholar]
- 65.Gilbert L, Raj A, Hien D, Stockman J, Terlikbayeva A, Wyatt G. Targeting the SAVA (substance abuse, violence, and AIDS) syndemic among women and girls: a global review of epidemiology and integrated interventions. J Acquir Immune Defic Syndr. 2015;69(Suppl 2):S118–127. doi: 10.1097/QAI.0000000000000626. [DOI] [PMC free article] [PubMed] [Google Scholar]