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Table 2 Parameter estimates from the Weibull and Log-logistic frailty model with normal random effect for studying circumcision's effect on HR-HPV clearance.

From: Parametric frailty models for clustered data with arbitrary censoring: application to effect of male circumcision on HPV clearance

 

Weibull

Log-logistic

 

Est.

Std. Err.

95% C.I.

LR P-value (2-sided)

Est.

Std. Err.

95% C.I.

LR P-value (2-sided)

0.96

0.16

(0.63, 1.28)

 

1.78

0.28

(1.23, 2.33)

 

-1.59

0.34

(-2.25, -0.93)

< 0.0001

-1.30

0.17

(-1.63, -0.96)

< 0.0001

0.42

0.23

(-0.02, 0.87)

0.04

0.45

0.22

(0.02, 0.89)

0.03

MSR2

1.56

0.35

(0.87, 2.24)

 

1.57

0.34

(0.90, 2.24)

 
  1. The P-values were all obtained using likelihood ratio (LR) test.
  2. 1γ is a nuisance parameter, thus no P-value is presented as no hypothesis testing was performed. 2MSR: median survival time ratio (conditional on the random effect).
  3. 0Weibull model: MSR = exp( β 1); Log-logistic model: MSR = exp(β 1).