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Table 6 Weibull Inverse Gaussian shared frailty model results

From: Time to first antenatal care visit among pregnant women in Ethiopia: secondary analysis of EDHS 2016; application of AFT shared frailty models

Variable

Coef.

SE

Φ

95% CI for ϕ

P-value

Residence

 Rural

0.175

0.063

1.191

[1.073, 1.322]

0.001

Marital Status

 Married

−0.209

0.121

0.811

[0.606, 1.087]

0.161

Mother occupation

 Yes

−0.042

0.034

0.959

[0.895, 1.027]

0.232

Wanted pregnancy

Latter

0.066

0.049

1.069

[0.976, 1.169]

0.150

No more

0.192

0.103

1.212

[1.026, 1.431]

0.670

Media exposure

 Yes

−0.077

0.037

0.926

[0.856, 1.09]

0.005

Sex of household

 Female

−0.028

0.041

0.972

[0.895, 1.056]

0.503

Religion

 Muslim

−0.029

0.045

0.971

[0.888, 1.063]

0.527

 Protestant

0.052

0.063

1.053

[0.937, 1.184]

0.383

 Other

−0.172

0.114

0.842

[0.645, 1.099]

0.206

Wealth index

 Middle

−0.174

0.044

0.840

[0.759, 0.931]

0.001

 Rich

−0.139

0.044

0.870

[0.788, 0.961]

0.006

Mothers education

 Primary

−0.077

0.040

0.926

[0.852, 1.007]

0.073

 Secondary and above

−0.158

0.049

0.854

[0.762, 0.956]

0.006

Husband Occupation

Agriculture

0.039

0.067

1.040

[0.917, 1.180]

0.541

Non Agricultural

0.150

0.073

1.162

[1.027, 1.313]

0.017

Parity

 4 and above

0.055

0.045

1.056

[0.971, 1.149]

0.204

Husband education level

 Primary

−0.050

0.042

0.951

[0.872, 1.036]

0.251

 Secondary and above

−0.183

0.044

0.833

[0.750, 0.925]

0.001

Person decided on respondent’s health care

 Respondent alone and Husband/partner

0.062

0.045

1.064

[0.979, 1.156]

0.146

 Respondent/partner and other person

0.071

0.061

1.074

[0.961, 1.200]

0.209

Theta ( )

0.180

    

P = 1.843, 1/p = 0.543, λ = 9.933, θ = 0.180, τ = 0.432

  1. LR test of theta = 0: chibar2 (01) = 122.06, Prob > = chibar2 = 0.000
  2. Coef coefficient of parameters, Std. Err. standard error of parameters, τ Kendall’s tau, ϕ acceleration factor, 95% CI 95% confidence interval for acceleration factor, P shape parameter, λ scale parameter, θ variance of the random effect, prob probability, chibar2 Chi-square