Unit gamma mixed regression models for continuous bounded data

2021 ◽  
pp. 1-19
Author(s):  
Ricardo R. Petterle ◽  
César A. Taconeli ◽  
José L. P. da Silva ◽  
Guilherme P. da Silva ◽  
Henrique A. Laureano ◽  
...  
Keyword(s):  
Regression Models ◽  
Mixed Regression ◽  
Bounded Data

Flexible quasi-beta regression models for continuous bounded data

2018 ◽  
Vol 19 (6) ◽  
pp. 617-633 ◽  
Author(s):  
Wagner H Bonat ◽  
Ricardo R Petterle ◽  
John Hinde ◽  
Clarice GB Demétrio
Keyword(s):  
Regression Model ◽  
Regression Models ◽  
Beta Regression ◽  
Estimating Function ◽  
Dispersion Parameters ◽  
Linear Predictor ◽  
Mean And Variance ◽  
The Mean ◽  
Bounded Data ◽  
Beta Regression Model

We propose a flexible class of regression models for continuous bounded data based on second-moment assumptions. The mean structure is modelled by means of a link function and a linear predictor, while the mean and variance relationship has the form [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] are the mean, dispersion and power parameters respectively. The models are fitted by using an estimating function approach where the quasi-score and Pearson estimating functions are employed for the estimation of the regression and dispersion parameters respectively. The flexible quasi-beta regression model can automatically adapt to the underlying bounded data distribution by the estimation of the power parameter. Furthermore, the model can easily handle data with exact zeroes and ones in a unified way and has the Bernoulli mean and variance relationship as a limiting case. The computational implementation of the proposed model is fast, relying on a simple Newton scoring algorithm. Simulation studies, using datasets generated from simplex and beta regression models show that the estimating function estimators are unbiased and consistent for the regression coefficients. We illustrate the flexibility of the quasi-beta regression model to deal with bounded data with two examples. We provide an R implementation and the datasets as supplementary materials.

Non-linear mixed regression models

1995 ◽  
Vol 6 (1) ◽  
pp. 85-99 ◽  
Author(s):  
Richard T. Burnett ◽  
W. H. Ross ◽  
Daniel Krewski
Keyword(s):  
Regression Models ◽  
Non Linear ◽  
Mixed Regression

Score tests for zero-inflated generalized Poisson mixed regression models

2009 ◽  
Vol 53 (9) ◽  
pp. 3478-3489 ◽  
Author(s):  
Feng-Chang Xie ◽  
Bo-Cheng Wei ◽  
Jin-Guan Lin
Keyword(s):  
Regression Models ◽  
Score Tests ◽  
Generalized Poisson ◽  
Mixed Regression

scholarly journals Individual Psychosocial Resilience, Neighborhood Context, and Cardiovascular Health in Black Adults

2020 ◽  
Vol 13 (10) ◽  
Author(s):  
Jeong Hwan Kim ◽  
Shabatun J. Islam ◽  
Matthew L. Topel ◽  
Yi-An Ko ◽  
Mahasin S. Mujahid ◽  
...  
Keyword(s):  
Regression Models ◽  
Cardiovascular Health ◽  
Sociodemographic Factors ◽  
Neighborhood Context ◽  
Racial Groups ◽  
Black Adults ◽  
Census Tract Level ◽  
Mixed Regression ◽  
Psychosocial Resilience ◽  
Neighborhood Level

Background: Despite well-documented cardiovascular disparities between racial groups, within-race determinants of cardiovascular health among Black adults remain understudied. Factors promoting cardiovascular resilience among Black adults in particular warrant further investigation. Our objective was to examine whether individual psychosocial resilience and neighborhood-level cardiovascular resilience were associated with better cardiovascular health in Black adults, measured utilizing Life’s Simple 7 (LS7) scores. Methods: We assessed LS7 scores in 389 Black adults (mean age, 53±10 years; 39% men) living in Atlanta, Georgia. A composite score of individual psychosocial resilience was created by assessing environmental mastery, purpose in life, optimism, resilient coping, and depressive symptoms. Neighborhood-level cardiovascular resilience was separately determined by the census tract-level rates of cardiovascular mortality/morbidity events. Generalized linear mixed regression models were used to examine the association between individual psychosocial resilience, neighborhood cardiovascular resilience, and LS7 scores. Results: Higher individual psychosocial resilience was significantly associated with higher LS7 (β=0.38 [0.16–0.59] per 1 SD) after adjustment for sociodemographic factors. Similarly, higher neighborhood-level cardiovascular resilience was significantly associated with higher LS7 (β=0.23 [0.02–0.45] per 1 SD). When jointly examined, high individual psychosocial resilience (>median) was independently associated with higher LS7 (β=0.73 [0.31–1.17]), whereas living in high-resilience neighborhoods (>median) was not. The largest difference in LS7 score was between those with high and low psychosocial resilience living in low-resilience neighborhoods (8.38 [7.90–8.86] versus 7.42 [7.04–7.79]). Conclusions: Individual psychosocial resilience in Black adults is associated with better cardiovascular health.

scholarly journals Polysomnographic indicators of restorative sleep and body mass trajectories in the Wisconsin Sleep Cohort Study

SLEEP ◽  
2021 ◽  
Author(s):  
Eric N Reither ◽  
Jodi H Barnet ◽  
Mari Palta ◽  
Yin Liu ◽  
Erika W Hagen ◽  
...  
Keyword(s):  
Cohort Study ◽  
Body Mass ◽  
Rem Sleep ◽  
Regression Models ◽  
Late Life ◽  
Public Health Policies ◽  
Sleep Studies ◽  
Bmi Trajectories ◽  
Mixed Regression ◽  
Restorative Sleep

Abstract Study Objectives Previous research suggests that reductions in restorative, slow-wave (N3), and rapid eye movement (REM) sleep are associated with weight gain and obesity in mid-to-late life. We extend prior work by examining how within-person (WP) changes and between-person (BP) differences in restorative sleep over several years are associated with body mass trajectories among participants in the Wisconsin Sleep Cohort Study (WSCS). Methods We used data from 4,862 polysomnographic (PSG) sleep studies and physical exams collected from 1,187 WSCS participants over an average duration of 14.9 years. Primary measures of interest included body mass index (BMI = kg/m2) and the percentages of time spent in N3 and REM sleep. We estimated a series of linear mixed regression models to examine how WP changes and BP differences in N3 and REM sleep affected BMI trajectories, controlling for other sleep measures, demographic characteristics, and health behaviors as potential confounders. Results Women in the WSCS experienced more rapid BMI gain than men. With some variation by sex, we found that (1) below-average N3 and REM sleep is associated with above-average BMI, and (2) within-person decreases in N3 and REM sleep over time are associated with gains in BMI. These findings persisted after adjustment for sleep duration and other potential confounders. Conclusions Our findings highlight the importance of PSG indices of restorative sleep in mid-to-late life, suggesting that future clinical treatments and public health policies will benefit from heightened attention to sleep quality.

scholarly journals Effect of a Nutrient-Rich, Food-Based Supplement Given to Rural Vietnamese Mothers Prior to or during Pregnancy on the Trajectories of Nutrient Biomarkers

Nutrients ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2913
Author(s):  
Janina Goletzke ◽  
Hoang T. Nga ◽  
Phi N. Quyen ◽  
Tu Ngu ◽  
Janet C. King
Keyword(s):  
Vitamin A ◽  
Regression Models ◽  
Nutrient Intakes ◽  
Farm Work ◽  
Maternal Nutritional Status ◽  
Gestational Weight ◽  
Rich Food ◽  
Vietnamese Women ◽  
Primary Determinant ◽  
Mixed Regression

Nutrient interventions initiated after conception tend to have modest effects on maternal nutritional status and pregnancy outcomes. Thus, we compared the association between micronutrient intakes and the trajectories of their biomarkers before and during pregnancy. Data from a randomized trial of the effect of a nutrient-rich, food-based supplement given to 317 Vietnamese women prior to or during pregnancy on birth outcomes were used to assess nutrient intakes with biomarker trajectories of zinc, iron, folate, cobalamin, and vitamin A using linear mixed regression models. The circulating plasma or serum trajectories of all five micronutrients were associated to their baseline levels (p < 0.0001). Plasma zinc trajectories were also related to farm work (p = 0.024). Cobalamin and vitamin A trajectories were associated with gestational weight gain (p = 0.003 and p = −0.037, respectively). In this population of rural Vietnamese women, nutrient intakes during pregnancy did not affect biomarker trajectories. The primary determinant of each nutrient biomarker trajectory was its respective baseline level prior to conception.

Sign in / Sign up

Export Citation Format

Share Document