A Methodological Note: An Introduction to Autoregressive Models

Author(s):  
Christopher J. Burant

The autoregressive model is a useful tool to analyze longitudinal data. It is particularly suitable for gerontological research as autoregressive models can be used to establish the causal relationship within a single variable over time as well as the causal ordering between two or more variables (e.g., physical health and psychological well-being) over time through bivariate autoregressive cross-lagged or contemporaneous models. Specifically, bivariate autoregressive models can explore the cross-lagged effects between two variables over time to determine the proper causal ordering between these variables. The advantage of analyzing cross-lagged effects is to test for the strength of prediction between two variables controlling for each variable's previous time score as well as the autoregressive component of the model. Bivariate autoregressive contemporaneous models can also be used to determine causal ordering within the same time point when compared to cross-lagged effects. Since the technique uses structural equation modeling, models are also adjusted for measurement error. This paper will present an introduction to setting up models and a step-by-step approach to analyzing univariate simplex autoregressive models, bivariate autoregressive cross-lagged models, and bivariate autoregressive contemporaneous models.

2021 ◽  
pp. 1-14
Author(s):  
Nikki L. Hill ◽  
Sakshi Bhargava ◽  
Emily Bratlee-Whitaker ◽  
Jennifer R. Turner ◽  
Monique J. Brown ◽  
...  

Background: Subjective cognitive decline (SCD) may be an early indicator of cognitive impairment, but depressive symptoms can confound this relationship. Associations may be influenced by differences between individuals (i.e., between-persons) or how each individual changes in their experiences over time (i.e., within-persons). Objective: We examined depressive symptoms as a mediator of the between- and within-person associations of SCD and objective memory in older adults. Methods: Coordinated analyses were conducted across four datasets drawn from large longitudinal studies. Samples (range: n = 1,889 to n = 15,841) included participants 65 years of age or older with no dementia at baseline. We used multilevel structural equation modeling to examine the mediation of SCD and objective memory through depressive symptoms, as well as direct relationships among SCD, objective memory, and depressive symptoms. Results: Older adults who were more likely to report SCD had lower objective memory on average (between-person associations), and depressive symptoms partially mediated this relationship in three of four datasets. However, changes in depressive symptoms did not mediate the relationship between reports of SCD and declines in objective memory in three of four datasets (within-person associations). Conclusion: Individual differences in depressive symptoms, and not changes in an individual’s depressive symptoms over time, partially explain the link between SCD and objective memory. Older adults with SCD and depressive symptoms may be at greater risk for poor cognitive outcomes. Future research should explore how perceived changes in memory affect other aspects of psychological well-being, and how these relationships influence cognitive decline and Alzheimer’s disease risk.


2019 ◽  
Vol 34 (6) ◽  
pp. 840-840
Author(s):  
J Harrison ◽  
M Wong ◽  
S McManimen

Abstract Objective We measured how puberty impacted inhibition over three years. We hypothesized that age and puberty development would predict inhibition at each time point. Results revealed differential effects of puberty and age over time. Method Participants from Southern Idaho were 245 adolescents at Time 1 (T1) (M = 10.4, SD = 1.5, 50% female, 64% Caucasian), 196 adolescents at Time 2 (T2) (M = 11.8, SD = 1.5, 50% female, 81% Caucasian), and 87 adolescents at Time 3 (T3) (M = 13, SD = 1.5, 56% female, 82% Caucasian). Participants completed a physical exam with a registered nurse, which included the Tanner Scale (Apter & Hermanson, 2002; Tinggaard et. al., 2012) and the Puberty Development Scale (Petersen et al., 1988). Inhibition was assessed using stop-signal reaction time (SSRT) within the Stop-it Task (Logan, Cowan, & Davis, 1984). Results Using structural equation modeling, for T1, the overall model demonstrated a good fit, χ2(3) = 1.23, p = .75, RMSEA = .00, CFI = 1.00, TLI = 1.04. Puberty significantly predicted inhibition (β = -.21, p < .05), i.e., higher puberty scores predicted stronger inhibition. However, age was not a significant predictor. At T2, the model demonstrated a good fit, χ2(7) = 7.77, p = .35, RMSEA = .03, CFI = 1.00, TLI = .99. Age significantly predicted inhibition (β=-.39, p < .001). However, puberty was not a significant predictor. In T3, neither age nor puberty predicted inhibition. Conclusions Our results indicate that early adolescent increases in inhibition may be due to puberty development rather than age. As one ages, puberty has less effect, and chronological age becomes more significant. Finally, in mid-adolescence, neither age nor puberty significantly affects inhibition. These findings highlight the changing effects of age and puberty on inhibitory control across adolescence.


2021 ◽  
Author(s):  
Rachel Sisu Rauvola ◽  
Cort Rudolph ◽  
Hannes Zacher

In this chapter, we consider the role of time for research in occupational stress and well-being. We first discuss temporal issues in studying occupational health longitudinally, focusing in particular on the role of time lags and their implications for observed results (e.g., effect detectability), analyses (e.g., handling unequal durations between measurement occasions), and interpretation (e.g., result generalizability, theoretical revision). Then, we discuss time-based assumptions when modeling lagged effects in occupational health research, providing a focused review of how research has handled (or ignored) these assumptions in the past, and the relative benefits and drawbacks of these approaches. Finally, we provide recommendations for readers, an accessible tutorial (including example data and code), and discussion of a new structural equation modeling technique, continuous time structural equation modeling, that can “handle” time in longitudinal studies of occupational health.


2020 ◽  
Vol 42 (2) ◽  
pp. 123-131
Author(s):  
Ian David Boardley ◽  
Doris Matosic ◽  
Mark William Bruner

Moral disengagement (MD) has been positively associated with antisocial behavior (AB) in sport. However, the longitudinal associations between MD and AB are unexamined to date. Adopting a three-wave cross-lagged panel design, the authors examined the reciprocal relations between MD and two forms of AB (i.e., toward opponents and teammates) across a competitive season with a sample of 407 team-sport athletes (Mage = 15.7 years) from Canada. Using structural equation modeling, the authors found strong positive autoregressive effects for MD and both forms of AB across both time periods. They also identified strong positive synchronous correlations between MD and both types of AB at each time point. Finally, cross-lagged effects were only found between MD and AB toward opponents; effects from MD to AB toward opponents were stronger than the reciprocal effects. These findings contribute important knowledge on the regulation of AB in sport.


Author(s):  
Judith H. Semeijn ◽  
Marjolein C.J. Caniëls ◽  
Daniël Kooistra

PurposeSustainable employability is an important goal for individuals and organizations alike. However, scarce knowledge is available on possible cross-lagged relations of resilience among police officers and different aspects of their sustainable employability over time. Based on assumptions of COR theory, the purpose of this paper is to test these relations in a two-wave design.Design/methodology/approachA total of 532 police officers participated in a time-lagged survey design (time interval of six months) concerning their resilience and relevant aspects, i.e., self-reported vitality, workability and organization-reported individual absenteeism rates. Data were analyzed with structural equation modeling.FindingsResults indicate cross-lagged effects between resilience and vitality with an acceptable model fit. Thus, the level of resilience at T1 affected the level of vitality at T2 and vice versa. In addition, a nearly significant negative effect of vitality on T1 was found on absenteeism on T2.Research limitations/implicationsMore measurements over time are needed to test reciprocal relations and possible gain spirals. Different samples are needed to assess generalizability. Cross-lagged effects may indicate a reciprocal relation between resilience and vitality that can be further facilitated.Practical implicationsFor example, resilience can be addressed explicitly in training.Originality/valueThis study is the first to test the cross-lagged relations between resilience and indicators of sustainable employability among police officers. It is important to further study this for the sake of both police officers, as well as society as a whole.


2011 ◽  
Vol 18 (4) ◽  
pp. 480-492 ◽  
Author(s):  
Susanne Tafvelin ◽  
Kerstin Armelius ◽  
Kristina Westerberg

In this two-wave longitudinal panel study, the authors strived to advance understanding of how transformational leadership affects employee well-being over time. The authors proposed a model that included both direct and indirect effects, which was tested in a sample of social service employees. Results of structural equation modeling revealed that transformational leadership had no direct effect on well-being over time. Instead, both the short-term and long-term effects of transformational leadership on well-being were mediated by a positive climate for innovation. The study contributes to knowledge about the complicated processes by which leaders influence well-being of employees.


2014 ◽  
Vol 13 (2) ◽  
pp. 87-96 ◽  
Author(s):  
Xi-Chao Zhang ◽  
Oi Ling Siu ◽  
Jing Hu ◽  
Weiwei Zhang

This study investigated the direct, reversed, and reciprocal relationships between bidirectional work-family conflict/work-family facilitation and psychological well-being (PWB). We administered a three-wave questionnaire survey to 260 married Chinese employees using a time lag of one month. Cross-lagged structural equation modeling analysis was conducted and demonstrated that the direct model was better than the reversed causal or the reciprocal model. Specifically, work-to-family conflict at Time 1 negatively predicted PWB at Time 2, and work-to-family conflict at Time 2 negatively predicted PWB at Time 3; further, work-to-family facilitation at Time 1 positively predicted PWB at Time 2. In addition, family-to-work facilitation at Time 1 positively predicted PWB at Time 2, and family-to-work conflict at Time 2 negatively predicted PWB at Time 3.


GIS Business ◽  
2019 ◽  
Vol 14 (6) ◽  
pp. 156-162
Author(s):  
Dr. D. Shoba ◽  
Dr. G. Suganthi

Work-Life balance has its importance from ancient days and the concept is very old, from the day the world has been created. There was a drastic change that has occurred in the market of teachers and their personal profiles. There are tremendous changes in various families which have bartered from the ‘breadwinner’ role of traditional men to single parent families and dual earning couples. This study furnishes an insight into work life balance and job satisfaction of teachers working in School of Villupuram District. The sample comprises of 75 school teachers from Government and private schools in Villupuram District. The Study results that there is increasing mediating evidence in Work-life balance as well as Job satisfaction of teachers are not affected by the type of school in which they are working. Job satisfaction or Pleasure of life will be affected as a whole by Work life balance of an individual which is the main which can be calculated by construct of subjective well being.


2015 ◽  
Vol 20 (5) ◽  
pp. 446-463 ◽  
Author(s):  
Wilmar B. Schaufeli

Purpose – The purpose of this paper is to integrate leadership into the job demands-resources (JD-R) model. Based on self-determination theory, it was argued that engaging leaders who inspire, strengthen, and connect their followers would reduce employee’s levels of burnout and increase their levels of work engagement. Design/methodology/approach – An online survey was conducted among a representative sample of the Dutch workforce (n=1,213) and the research model was tested using structural equation modeling. Findings – It appeared that leadership only had an indirect effect on burnout and engagement – via job demands and job resources – but not a direct effect. Moreover, leadership also had a direct relationship with organizational outcomes such as employability, performance, and commitment. Research limitations/implications – The study used a cross-sectional design and all variables were based on self-reports. Hence, results should be replicated in a longitudinal study and using more objective measures (e.g. for work performance). Practical implications – Since engaged leaders, who inspire, strengthen, and connect their followers, provide a work context in which employees thrive, organizations are well advised to promote engaging leadership. Social implications – Leadership seems to be a crucial factor which has an indirect impact – via job demands and job resources – on employee well-being. Originality/value – The study demonstrates that engaging leadership can be integrated into the JD-R framework.


Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 657
Author(s):  
Rezzy Eko Caraka ◽  
Maengseok Noh ◽  
Rung-Ching Chen ◽  
Youngjo Lee ◽  
Prana Ugiana Gio ◽  
...  

Design: Health issues throughout the sustainable development goals have also been integrated into one ultimate goal, which helps to ensure a healthy lifestyle as well as enhances well-being for any and all human beings of all social level. Meanwhile, regarding the clime change, we may take urgent action to its impacts. Purpose: Nowadays, climate change makes it much more difficult to control the pattern of diseases transmitted and sometimes hard to prevent. In line with this, Centres for Disease Control (CDC) Taiwan grouped the spread of disease through its source in the first six main groups. Those are food or waterborne, airborne or droplet, vector-borne, sexually transmitted or blood-borne, contact transmission, and miscellaneous. According to this, academics, government, and the private sector should work together and collaborate to maintain the health issue. This article examines and connects the climate and communicable aspects towards Penta-Helix in Taiwan. Finding: In summary, we have been addressing the knowledge center on the number of private companies throughout the health care sector, the number of healthcare facilities, and the education institutions widely recognized as Penta Helix. In addition, we used hierarchical likelihood structural equation modeling (HSEMs). All the relationship variables among climate, communicable disease, and Penta Helix can be interpreted through the latent variables with GoF 79.24%.


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