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Table 4 Jimma Infant Growth Study

From: Modeling overdispersed longitudinal binary data using a combined beta and normal random-effects model

Effect

 

Logistic

Beta-binomial

  

Mean(s.d.)

Mean(s.d.)

Intercept

ξ0

−1.894(0.123)

−1.486(1.488)

Time

ξ1

0.126(0.031)

0.155(0.207)

Gender:Male

ξ2

0.027(0.026)

0.003(0.066)

Place rural

ξ3

−0.602(0.029)

−2.486(1.290)

Place urban

ξ4

−0.377(0.037)

−1.973(1.210)

Breast feeding

ξ5

0.543(0.123)

1.126(0.294)

Slope Gender:Male

ξ6

−0.003(0.006)

−0.015(0.016)

Slope rural

ξ7

0.018(0.007)

0.160(0.178)

Slope urban

ξ8

0.015(0.009)

0.1610.182)

Slope Breast feeding

ξ9

−0.132(0.030)

−0.289(0.097)

Std. dev. random intercept

d 0

Std. dev. random slope

d 1

Ratio

α / β

3.222(0.524)

DIC

 

41,310.0

40,390.0

pD

 

9.9

2511.0

Effect

 

Logistic-normal

Combined

  

Mean(s.d.)

Mean(s.d.)

Intercept

ξ0

−2.773(0.191)

−2.755(0.258)

Time

ξ1

0.137(0.042)

0.169(0.062)

Gender:Male

ξ2

0.020(0.054)

0.026(0.069)

Place rural

ξ3

−0.915(0.065)

−1.115(0.085)

Place urban

ξ4

−0.606(0.083)

−0.749(0.103)

Breastfeeding

ξ5

0.666(0.185)

0.903(0.253)

Slope Gender:Male

ξ6

−0.003(0.010)

−0.006(0.012)

Slope rural

ξ7

0.015(0.011)

0.026(0.015)

Slope urban

ξ8

0.011(0.014)

0.017(0.018)

Slope Breastfeeding

ξ9

−0.144(0.041)

−0.192(0.061)

Std. dev. random intercept

d 0

1.783(0.035)

2.212(0.074)

Std. dev. random slope

d 1

0.193(0.007)

0.250(0.013)

Ratio

α / β

0.288(0.031)

DIC

 

33,605.1

33,377.6

pD

 

5400.7

6218.3

  1. Estimated posterior mean and standard deviation in (1) the logistic model, (2) the beta-binomial model, (3) the logistic-normal model, and (4) the combined model.