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Table 4 Comparison of Log-logistic AFT and inverse Gaussian Frailty model

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

Covariate

Categories

Log-logistic inverse Gaussian frailty

Log-logistic AFT

Estimate \(\widehat{\left( \beta \right)}\)

\(\varPhi\)

95% CI

Estimate \(\widehat{\left( \beta \right)}\)

\(\varPhi\)

95% CI

Wealth index

Poor

Ref

Ref

Ref

Ref

Ref

Ref

Middle

0.0339

1.03

[1.01,1.06]

0.0283

1.029

[1.006,1.05]

Rich

0.0351

1.04

[1.01,1.06]

0.0293

1.029

[1.006,1.05]

Religion

Orthodox

Ref

Ref

Ref

Ref

Ref

Ref

Catholic

0.0705

1.07

[1.08,1.16]

0.0648

1.1

[0.98,1.16]

Protestant

0.0152

1.012

[0.99,1.04]

0.0052

1.01

[0.98,1.03]

Muslim

0.0382

1.04

[1.001,1.06]

0.042

1.04

[1.02,1.06]

Traditional

0.0260

1.03

[0.96,1.09]

0.0229

1.02

[0.96,1.07]

Other

0.0119

1.012

[0.92,1.09]

0.106

1.11

[1.03,1.28]

Age at first birth

≤ 15

Ref

Ref

Ref

Ref

Ref

Ref

16–20

0.049

1.05

[1.03,1.07]

0.0488

1.04

[1.03,1.07]

21–25

0.185

1.20

[1.17,1.23]

0.185

1.2

[1.17,1.23]

≥ 26

0.318

1.37

[1.01,1.43]

0.317

1.4

[1.32,1.43]

Marital status

Single

Ref

Ref

Ref

Ref

Ref

Ref

Married

0.0384

1.04

[1.01,1.06]

0.0398

1.04

[1.01,1.06]

Divorced

0.0955

1.10

[1.06,1.14]

0.0942

1.1

[1.06,1.14]

Windowed

0.0713

1.074

[1.03,1.11]

0.0704

1.07

[1.03,1.11]

Separated

0.116

1.12

[1.08,1.17]

0.014

1.01

[0.97,1.05]

Husbands education

No-educa

Ref

Ref

Ref

Ref

Ref

Ref

Primary

0.389

1.48

[1.45,1.5]

0.389

1.48

[1.45,1.5]

Second and above

1.02

2.77

[2.7,2.9]

1.02

2.77

[2.71,2.8]

Women education

No-educa

Ref

Ref

Ref

Ref

Ref

Ref

Primary

0.00204

1.002

[0.99,1.02]

0.0015

1.002

[0.98,1.02]

Second and above

0.108

1.114

[1.07,1.16]

0.108

1.11

[1.08,1.15]

AIC = 58,792.16

    

AIC = 58,784.19

  1. \(\varPhi\) Indicates acceleration factor, 95% CI, confidence interval for acceleration factor; SE(\(\hat{\beta }\)), standard error for \(\widehat{ \beta }\); Ref., Reference; AIC, Akaka’s information criteria