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Table 4 Summary of analysis results of Korea HIV/AIDS cohort study. PE is the point estimate of the regression parameter. SE is the estimated standard error of the regression parameter. \(95\%\) CI is the Wald-type \(95\%\) point-wise confidence interval

From: Smoothed quantile residual life regression analysis with application to the Korea HIV/AIDS cohort study

  

Induced smoothing method

 

Follow-up time (month)

Intercept

Age of diagnosis

CD4 cell count

  

PE

SE

95% CI

PE

SE

95% CI

PE

SE

95% CI

\(\tau\)=0.05

 

6

6.64

3.81

(-0.828, 14.105)

-0.40

0.38

(-1.144, 0.354)

0.03

0.33

(-0.621, 0.678)

 

12

-3.90

5.21

(-14.103, 6.307)

-0.40

0.51

(-1.404, 0.608)

0.13

0.69

(-1.232, 1.485)

 

18

6.53

4.46

(-2.215, 15.266)

-0.18

0.50

(-1.157, 0.793)

0.61

0.48

(-0.324, 1.553)

 

24

7.08

5.40

(-3.507, 17.664)

0.38

0.62

(-0.835, 1.592)

0.00

0.68

(-1.327, 1.325)

\(\tau\)=0.1

 

6

4.07

4.17

(-4.108, 12.246)

-0.35

0.47

(-1.282, 0.576)

0.20

0.40

(-0.589, 0.988)

 

12

3.29

6.39

(-9.230, 15.813)

-0.21

0.50

(-1.189, 0.775)

0.56

0.52

(-0.466, 1.577)

 

18

8.31

4.85

(-1.187, 17.813)

-0.36

0.57

(-1.467, 0.749)

-0.01

0.54

(-1.072, 1.057)

 

24

12.70

4.59

(3.706, 21.685)

0.12

0.57

(-0.990, 1.236)

-0.31

0.26

(-0.811, 0.200)

\(\tau\)=0.15

 

6

0.04

3.16

(-6.165, 6.236)

-0.19

0.53

(-1.224, 0.841)

-0.02

0.37

(-0.748, 0.716)

 

12

8.03

5.77

(-3.289, 19.345)

-0.49

0.57

(-1.605, 0.631)

0.20

0.49

(-0.765, 1.160)

 

18

8.95

5.14

(-1.134, 19.025)

-0.11

0.57

(-1.234, 1.012)

0.11

0.52

(-0.912, 1.129)

 

24

9.08

5.58

(-1.846, 20.009)

0.13

0.68

(-1.203, 1.471)

-0.29

0.28

(-0.841, 0.269)

\(\tau\)=0.2

 

6

6.34

7.24

(-7.844, 20.529)

-0.22

0.55

(-1.308, 0.864)

-0.01

0.32

(-0.643, 0.630)

 

12

11.70

7.68

(-3.346, 26.742)

-0.50

0.78

(-2.037, 1.029)

0.06

0.46

(-0.846, 0.969)

 

18

11.57

8.89

(-5.866, 28.999)

0.41

0.99

(-1.521, 2.343)

-0.55

1.14

(-2.782, 1.674)

 

24

12.87

7.83

(-2.482, 28.215)

0.03

0.80

(-1.543, 1.603)

-0.32

0.31

(-0.935, 0.299)