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Table 7 Real data application: (A) Parameters’ estimation (standard errors) and (B) net survival and proportion of cured

From: A new cure model that corrects for increased risk of non-cancer death: analysis of reliability and robustness, and application to real-life data

A)

 

Model(1)

Conventional mixture cure model

 

α

π60

λ

γ

β

δ

α

π60

λ

γ

β

δ

Men

1.29 (0.066)

57.4 (0.049)

0.42 (0.014)

0.88 (0.023)

−0.1 (0.047)

−0.16 (0.046)

1

52.4 (0.033)

0.39 (0.018)

0.83 (0.042)

−0.22 (0.042)

−0.08 (0.095)

Women

1.32 (0.084)

60.7 (0.036)

0.4 (0.012)

1 (0.026)

−0.04 (0.04)

−0.25 (0.045)

1

58.3 (0.028)

0.38 (0.021)

0.94 (0.038)

−0.11 (0.041)

−0.18 (0.334)

B)

Gender

Age at diagnosis

Model(1)

Conventional mixture cure model

 

1-y. NS

5-y. NS

10-y. NS

15-y. NS

π

1-y. NS

5-y. NS

10-y. NS

15-y. NS

π

 

Men

40

89%

70%

63%

61%

60%

88%

71%

64%

61%

60%

 

50

87%

67%

61%

60%

59%

87%

67%

60%

57%

56%

 

60

85%

65%

59%

58%

57%

85%

63%

56%

54%

52%

 

70

83%

62%

57%

56%

56%

83%

60%

52%

50%

49%

 

Women

40

91%

71%

64%

63%

62%

90%

71%

65%

63%

62%

 

50

89%

69%

63%

62%

61%

88%

69%

62%

61%

60%

 

60

87%

66%

61%

61%

61%

87%

66%

60%

59%

58%

 

70

85%

64%

60%

60%

60%

85%

63%

57%

57%

56%

 
  1. Colon cancer data in France
  2. NS net survival, π proportion of cured