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Table 5 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)

Total cholesterol

HDL

Family history of dyslipidemia

  

PE

SE

95% CI

PE

SE

95% CI

PE

SE

95% CI

\(\tau\)=0.05

 

6

-2.50

0.79

(-4.052, -0.943)

2.21

0.66

(0.908, 3.510)

0.28

0.73

(-1.139, 1.708)

 

12

0.83

1.00

(-1.132, 2.791)

0.21

0.75

(-1.247, 1.675)

1.47

0.76

(-0.008, 2.952)

 

18

-2.46

0.91

(-4.251, -0.668)

1.20

1.04

(-0.832, 3.240)

-0.52

1.01

(-2.504, 1.454)

 

24

-2.27

0.92

(-4.079, -0.466)

1.62

1.11

(-0.548, 3.794)

-1.14

0.94

(-2.979, 0.694)

\(\tau\)=0.1

 

6

-2.31

0.86

(-4.005, -0.624)

2.57

0.79

(1.016, 4.128)

-0.33

0.76

(-1.808, 1.157)

 

12

-1.35

1.00

(-3.312, 0.605)

0.92

0.95

(-0.947, 2.792)

-0.39

1.05

(-2.451, 1.665)

 

18

-1.93

0.90

(-3.691, -0.161)

1.22

1.08

(-0.896, 3.344)

-0.80

1.18

(-3.107, 1.509)

 

24

-3.49

1.07

(-5.591, -1.387)

2.58

1.13

(0.372, 4.784)

-2.06

1.31

(-4.633, 0.516)

\(\tau\)=0.15

 

6

-1.20

0.61

(-2.389, -0.004)

2.57

1.02

(0.574, 4.572)

-0.80

0.88

(-2.535, 0.927)

 

12

-2.77

1.65

(-6.007, 0.475)

2.39

1.84

(-1.217, 5.996)

-1.61

1.61

(-4.764, 1.547)

 

18

-3.03

1.51

(-5.997, -0.063)

2.55

1.65

(-0.688, 5.784)

-2.03

1.65

(-5.264, 1.202)

 

24

-3.58

1.71

(-6.925, -0.236)

3.88

1.86

(0.228, 7.528)

-2.92

1.84

(-6.520, 0.682)

\(\tau\)=0.2

 

6

-2.22

1.38

(-4.928, 0.497)

2.40

1.51

(-0.559, 5.368)

-1.43

1.33

(-4.031, 1.175)

 

12

-4.84

3.09

(-10.891, 1.211)

4.72

3.21

(-1.576, 11.013)

-3.46

2.76

(-8.869, 1.954)

 

18

-4.82

3.37

(-11.419, 1.782)

5.54

4.11

(-2.503, 13.589)

-4.21

3.23

(-10.543, 2.119)

 

24

-4.64

2.74

(-10.013, 0.735)

4.55

2.69

(-0.718, 9.827)

-3.78

2.47

(-8.616, 1.060)