Table 1

Longitudinal models for self-rated health in extant research

StudyModels ConsideredFinal ModelComparisonCorrect for Measurement Error
Bauldry et al. (2012)  Random effects (quadratic); fixed effects Random effects (little variation in slope; linear) No No 
Berdahl and McQuillan (2018)  Random effects (linear) Random effects (linear) No No 
Brown et al. (2016)  Random effects (linear, quadratic, cubic) Random effects (linear) Yes (likelihood ratio test) No 
Ferraro et al. (1997)  Autoregressive Autoregressive No No 
Foraker et al. (2011)  Random effects (quadratic) Random effects (quadratic) No No 
Hargrove and Brown (2015)  Random effects (linear) Random effects (linear) No No 
Kosloski et al. (2005)  Autoregressive Autoregressive No Yes 
Lazar et al. (2007)  Autoregressive Autoregressive No No 
Leopold (2019)  Random effects (linear) Random effects (linear) No No 
Lersch et al. (2018)  Random effects (linear) Random effects (linear) No No 
Liang et al. (2010)  Random effects (linear, quadratic, cubic) Random effects (linear) No No 
McCullough and Laurenceau (2004)  Random effects (linear, quadratic, cubic) Random effects (cubic) Yes (Δ deviance) No 
McCullough and Laurenceau (2005)  Random effects (linear, quadratic, cubic) Random effects (cubic) No No 
McDonough and Berglund (2003)  Random effects (linear, quadratic) Random effects (linear) Yes; not shown No 
McDonough et al. (2005)  Random effects (linear) Random effects (linear) No No 
Meadows (2009)  Random effects (linear) Random effects (linear) No No 
Miller and Wolinsky (2007)  Linear regression Linear regression No No 
Mirowsky and Ross (2008)  Random effects (linear) Random effects (linear) No No 
Rohlfsen and Kronenfeld (2014)  Random effects (linear) Random effects (linear) No No 
Sargent-Cox et al. (2010)  Random effects (linear, quadratic) Random effects (little variation in slope; linear) Yes (Δ chi-square) No 
Shuey and Willson (2008)  Random effects (quadratic) Random effects (quadratic) No No 
Sokol et al. (2017)  Random effects (quadratic) Random effects (quadratic) No No 
Takahashi et al. (2018)  Random effects (linear) Random effects (linear) No No 
Wilkinson et al. (2012)  Random effects (linear, quadratic) Random effects (little variation in slope; linear) No No 
Willson et al. (2007)  Random effects (quadratic) Random effects (little variation in slope; linear) No No 
Wolinsky et al. (2008)  Mixed effects (fixed + random effects) Mixed effects (square root of slope) No No 
Yang and Lee (2009)  Random effects (linear, quadratic) Random effects (quadratic) Yes; not shown No 
Yao and Robert (2008)  Random effects (linear, quadratic) Random effects (quadratic) Yes (Δ AIC) No 
Zajacova and Burgard (2010)  Random effects (linear) Random effects (linear) No Yes; intercept and slope only 
StudyModels ConsideredFinal ModelComparisonCorrect for Measurement Error
Bauldry et al. (2012)  Random effects (quadratic); fixed effects Random effects (little variation in slope; linear) No No 
Berdahl and McQuillan (2018)  Random effects (linear) Random effects (linear) No No 
Brown et al. (2016)  Random effects (linear, quadratic, cubic) Random effects (linear) Yes (likelihood ratio test) No 
Ferraro et al. (1997)  Autoregressive Autoregressive No No 
Foraker et al. (2011)  Random effects (quadratic) Random effects (quadratic) No No 
Hargrove and Brown (2015)  Random effects (linear) Random effects (linear) No No 
Kosloski et al. (2005)  Autoregressive Autoregressive No Yes 
Lazar et al. (2007)  Autoregressive Autoregressive No No 
Leopold (2019)  Random effects (linear) Random effects (linear) No No 
Lersch et al. (2018)  Random effects (linear) Random effects (linear) No No 
Liang et al. (2010)  Random effects (linear, quadratic, cubic) Random effects (linear) No No 
McCullough and Laurenceau (2004)  Random effects (linear, quadratic, cubic) Random effects (cubic) Yes (Δ deviance) No 
McCullough and Laurenceau (2005)  Random effects (linear, quadratic, cubic) Random effects (cubic) No No 
McDonough and Berglund (2003)  Random effects (linear, quadratic) Random effects (linear) Yes; not shown No 
McDonough et al. (2005)  Random effects (linear) Random effects (linear) No No 
Meadows (2009)  Random effects (linear) Random effects (linear) No No 
Miller and Wolinsky (2007)  Linear regression Linear regression No No 
Mirowsky and Ross (2008)  Random effects (linear) Random effects (linear) No No 
Rohlfsen and Kronenfeld (2014)  Random effects (linear) Random effects (linear) No No 
Sargent-Cox et al. (2010)  Random effects (linear, quadratic) Random effects (little variation in slope; linear) Yes (Δ chi-square) No 
Shuey and Willson (2008)  Random effects (quadratic) Random effects (quadratic) No No 
Sokol et al. (2017)  Random effects (quadratic) Random effects (quadratic) No No 
Takahashi et al. (2018)  Random effects (linear) Random effects (linear) No No 
Wilkinson et al. (2012)  Random effects (linear, quadratic) Random effects (little variation in slope; linear) No No 
Willson et al. (2007)  Random effects (quadratic) Random effects (little variation in slope; linear) No No 
Wolinsky et al. (2008)  Mixed effects (fixed + random effects) Mixed effects (square root of slope) No No 
Yang and Lee (2009)  Random effects (linear, quadratic) Random effects (quadratic) Yes; not shown No 
Yao and Robert (2008)  Random effects (linear, quadratic) Random effects (quadratic) Yes (Δ AIC) No 
Zajacova and Burgard (2010)  Random effects (linear) Random effects (linear) No Yes; intercept and slope only 

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