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Table 4 EHR estimates with data on colorectal cancer using life tables stratified and not stratified by sex

From: Correcting inaccurate background mortality in excess hazard models through breakpoints

 

Model 1*

Model 1

Model 2

Model 3 (Ɛ1 = 83, Ɛ2 = 88)

Variables

EHR [95% CI]

EHR [95% CI]

EHR [95% CI]

\( \hat{\alpha} \)[95% CI]

EHR [95% CI]

\( \hat{\alpha} \)[95% CI]

Age

 ≤ 64

ref.

ref.

ref.

 

ref.

 

 65–74

1.37 [1.01–1.87]

1.35 [1.00–1.82]

1.36 [1.00–1.85]

 

1.37 [1.01–1.87]

 

 75–90

1.67 [1.21–2.31]

1.69 [1.23–2.33]

1.67 [1.16–2.40]

 

1.66 [1.15–2.38]

 

CS

 I

ref.

ref.

ref.

 

ref.

 

 II

5.92 [2.35–14.90]

5.26 [2.32–11.88]

6.47 [1.82–22.95]

 

5.75 [1.66–19.91]

 

 III-IV

14.65 [5.91–36.33]

12.57 [5.65–27.99]

16.07 [4.28–60.32]

 

14.31 [3.85–53.10]

 

Sex

 Men

ref.

ref.

ref.

1.33 [0.92–1.92]

ref.

1.42 [0.90–2.24]a

     

1.24 [0.74–2.07]b

     

0.66 [0.32–1.39]c

 Women

0.93 [0.72–1.20]

0.69 [0.53–0.90]

0.91 [0.67–1.24]

0.74 [0.59–0.93]

0.94 [0.70–1.29]

0.62 [0.45–0.84]a

     

0.77 [0.57–1.02]b

     

1.74 [0.59–5.11]c

AIC

4223

4238

4230

4228

  1. Note: Model 1* (Gold standard) is estimated using a life table stratified by sex and Models 1, 2, and 3 are estimated using the same life table not stratified by sex. Excess hazard ratio (EHR) with 95% confidence interval (95% CI) are estimated for Models 1*,1,2 and 3, while α with 95% CI are estimated for Model 2 and 3. Ɛ1, Ɛ2, Determined breakpoints; CS, Cancer stage; a Estimate of α before Ɛ1; b Estimate of α between Ɛ1 and Ɛ2, c Estimate of α after Ɛ2; AIC, Akaike information criterion