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Table 3 Summary result of the final log-logistic inverse Gaussian shared frailty model

From: Modeling successive birth interval of women in Ethiopia: application of parametric shared frailty and accelerated failure time model

Covariate

Categories

Estimate (\(\hat{\beta }\))

\(\varPhi\)

95%CI

SE (\(\hat{\beta }\))

P value

Wealth index

Poor

Ref

Ref

Ref

Ref

Ref

Middle

0.0339

1.03

[1.01,1.06]

0.01200

0.0048*

Rich

0.0351

1.04

[1.01,1.06]

0.01125

0.0018*

Religion

Orthodox

Ref

Ref

Ref

Ref

Ref

Catholic

0.0705

1.07

[1.08,1.16]

0.04191

0.092*

Protestant

0.0152

1.012

[0.99,1.04]

0.01374

0.27

Muslim

0.0382

1.04

[1.001,1.06]

0.01242

0.002*

Traditional

0.0260

1.03

[0.96,1.09]

0.03499

0.46

Other

0.0119

1.012

[0.92,1.09]

0.03915

0.003*

Age at first birth

≤ 15

Ref

    

16–20

0.049

1.05

[1.03,1.07]

0.01027

< 0.001*

21–25

0.185

1.20

[1.17,1.23]

0.01181

< 0.001*

≥ 26

0.318

1.37

[1.01,1.43]

0.01848

< 0.001*

Marital status

Single

Ref

    

Married

0.0384

1.04

[1.01,1.06]

0.01248

< 0.001

Divorced

0.0955

1.10

[1.06,1.14]

0.01748

< 0.001

Windowed

0.0713

1.074

[1.03,1.11]

0.01891

< 0.001

Separated

0.116

1.12

[1.08,1.17]

0.02085

< 0.001*

Husbands education

No-education

Ref

    

Primary

0.389

1.48

[1.45,1.5]

0.0077

< 0.001*

Second and above

1.02

2.77

[2.7,2.9]

0.01185

< 0.001*

Women education

No-education

Ref

    

Primary

0.00204

1.002

[0.99,1.02]

0.0083

0.81

Second and above

0.108

1.114

[1.07,1.16]

0.0191

< 0.001*

\(\theta\) = 0.0013

\(\tau\) = 0.00065

\(\uplambda = 0.17\)

\(\rho = {3}.00\)

  

AIC = 58,792.14

  1. Likelihood ratio test of \(\theta = 0:{\text{chi - square}}\) = 9616.02 P value < 0.001*
  2. \(\varPhi\) indicates acceleration factor, *significant at 5% level, 95% CI,: confidence interval for acceleration factor; SE (\(\hat{\beta }\)), standard error for \(\widehat{ \beta }\); Ref., reference