Appendix C: Supplementary tables
Table C.1: Descriptive statistics of the assigned dose levels for 13 studies
included in a dose–response meta-analysis between red meat consumption (g per day) and bladder cancer risk.
| 1 |
8.6 |
8.6 |
30.0 |
51.4 |
77.1 |
102.9 |
| 2 |
34.6 |
34.6 |
50.3 |
65.5 |
83.2 |
106.7 |
| 3 |
7.8 |
7.8 |
19.5 |
34.1 |
51.5 |
71.7 |
| 4 |
28.9 |
28.9 |
63.2 |
92.8 |
193.9 |
442.7 |
| 5 |
17.3 |
17.3 |
38.0 |
55.8 |
76.6 |
112.1 |
| 6 |
6.0 |
6.0 |
24.4 |
42.9 |
77.1 |
111.4 |
| 7 |
85.5 |
85.5 |
122.9 |
160.3 |
230.2 |
300.2 |
| 8 |
17.1 |
17.1 |
43.1 |
64.2 |
83.0 |
101.9 |
| 9 |
34.4 |
34.4 |
63.8 |
90.8 |
122.7 |
171.8 |
| 10 |
8.0 |
0.0 |
8.0 |
17.1 |
51.4 |
102.9 |
| 11 |
8.0 |
0.0 |
8.0 |
17.1 |
51.4 |
102.9 |
| 13 |
8.6 |
8.6 |
30.0 |
51.4 |
77.1 |
102.9 |
| 14 |
51.4 |
51.4 |
68.6 |
85.7 |
102.9 |
120.0 |
Table C.2: Table C.3: AIC for the study-specific second-degree fractional polynomials with power terms specified by \(p\) in a dose–response meta-analysis between red meat consumption (g per day) and bladder cancer risk. The last row reports the power term corresponding to the lowest AIC.
|
|
Study ID
|
|
p
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
13
|
14
|
|
(-2, -2)
|
1.12
|
-3.66
|
-1.88
|
-4.04
|
-4.29
|
-0.71
|
1.76
|
-2.7
|
-3.43
|
-3.5
|
-1.8
|
2.38
|
-0.37
|
|
(-2, -1)
|
1.12
|
-3.66
|
-2.17
|
-3.98
|
-4.56
|
-0.71
|
1.76
|
-2.71
|
-3.8
|
-3.67
|
-1.43
|
2.38
|
-0.37
|
|
(-2, -0.5)
|
1.12
|
-3.65
|
-2.3
|
-3.94
|
-4.71
|
-0.71
|
1.76
|
-2.71
|
-3.97
|
-3.75
|
-1.2
|
2.38
|
-0.37
|
|
(-2, 0)
|
1.12
|
-3.65
|
-2.41
|
-3.91
|
-4.88
|
-0.71
|
1.76
|
-2.71
|
-4.14
|
-3.8
|
-0.95
|
2.38
|
-0.37
|
|
(-2, 0.5)
|
1.12
|
-3.64
|
-2.47
|
-3.88
|
-5.04
|
-0.71
|
1.76
|
-2.72
|
-4.28
|
-3.8
|
-0.7
|
2.38
|
-0.37
|
|
(-2, 1)
|
1.12
|
-3.62
|
-2.48
|
-3.85
|
-5.21
|
-0.71
|
1.76
|
-2.73
|
-4.39
|
-3.73
|
-0.47
|
2.38
|
-0.37
|
|
(-2, 2)
|
1.12
|
-3.6
|
-2.39
|
-3.83
|
-5.5
|
-0.71
|
1.76
|
-2.74
|
-4.51
|
-3.39
|
-0.14
|
2.38
|
-0.37
|
|
(-2, 3)
|
1.12
|
-3.56
|
-2.19
|
-3.82
|
-5.74
|
-0.71
|
1.76
|
-2.75
|
-4.52
|
-3.1
|
0
|
2.38
|
-0.37
|
|
(-1, -1)
|
1.12
|
-3.65
|
-2.33
|
-3.89
|
-4.77
|
-0.71
|
1.76
|
-2.71
|
-4.07
|
-3.87
|
-0.82
|
2.38
|
-0.37
|
|
(-1, -0.5)
|
1.12
|
-3.64
|
-2.39
|
-3.84
|
-4.9
|
-0.71
|
1.76
|
-2.71
|
-4.19
|
-3.94
|
-0.45
|
2.38
|
-0.37
|
|
(-1, 0)
|
1.12
|
-3.63
|
-2.45
|
-3.79
|
-5.04
|
-0.71
|
1.76
|
-2.71
|
-4.31
|
-3.95
|
-0.06
|
2.38
|
-0.37
|
|
(-1, 0.5)
|
1.12
|
-3.62
|
-2.48
|
-3.74
|
-5.18
|
-0.71
|
1.76
|
-2.71
|
-4.41
|
-3.85
|
0.32
|
2.38
|
-0.37
|
|
(-1, 1)
|
1.12
|
-3.61
|
-2.48
|
-3.7
|
-5.32
|
-0.71
|
1.76
|
-2.71
|
-4.47
|
-3.63
|
0.63
|
2.38
|
-0.37
|
|
(-1, 2)
|
1.12
|
-3.58
|
-2.43
|
-3.65
|
-5.57
|
-0.71
|
1.76
|
-2.72
|
-4.53
|
-3.01
|
1
|
2.38
|
-0.37
|
|
(-1, 3)
|
1.12
|
-3.56
|
-2.32
|
-3.63
|
-5.78
|
-0.71
|
1.76
|
-2.73
|
-4.5
|
-2.6
|
1.13
|
2.38
|
-0.37
|
|
(-0.5, -0.5)
|
1.12
|
-3.63
|
-2.43
|
-3.78
|
-5.01
|
-0.71
|
1.76
|
-2.71
|
-4.3
|
-3.98
|
-0.01
|
2.38
|
-0.37
|
|
(-0.5, 0)
|
1.12
|
-3.63
|
-2.46
|
-3.72
|
-5.13
|
-0.71
|
1.76
|
-2.71
|
-4.39
|
-3.92
|
0.44
|
2.38
|
-0.37
|
|
(-0.5, 0.5)
|
1.12
|
-3.61
|
-2.48
|
-3.66
|
-5.26
|
-0.71
|
1.76
|
-2.71
|
-4.46
|
-3.72
|
0.82
|
2.38
|
-0.37
|
|
(-0.5, 1)
|
1.12
|
-3.6
|
-2.48
|
-3.6
|
-5.38
|
-0.71
|
1.76
|
-2.71
|
-4.51
|
-3.4
|
1.11
|
2.38
|
-0.37
|
|
(-0.5, 2)
|
1.12
|
-3.58
|
-2.45
|
-3.53
|
-5.61
|
-0.71
|
1.76
|
-2.71
|
-4.53
|
-2.69
|
1.39
|
2.38
|
-0.37
|
|
(-0.5, 3)
|
1.12
|
-3.55
|
-2.38
|
-3.5
|
-5.81
|
-0.71
|
1.76
|
-2.71
|
-4.48
|
-2.32
|
1.46
|
2.38
|
-0.37
|
|
(0, 0)
|
1.12
|
-3.62
|
-2.48
|
-3.64
|
-5.24
|
-0.71
|
1.76
|
-2.7
|
-4.45
|
-3.76
|
0.89
|
2.38
|
-0.37
|
|
(0, 0.5)
|
1.12
|
-3.61
|
-2.48
|
-3.56
|
-5.35
|
-0.71
|
1.76
|
-2.7
|
-4.5
|
-3.45
|
1.23
|
2.38
|
-0.37
|
|
(0, 1)
|
1.12
|
-3.59
|
-2.48
|
-3.49
|
-5.46
|
-0.71
|
1.76
|
-2.7
|
-4.53
|
-3.05
|
1.45
|
2.38
|
-0.37
|
|
(0, 2)
|
1.12
|
-3.57
|
-2.47
|
-3.39
|
-5.67
|
-0.71
|
1.76
|
-2.69
|
-4.52
|
-2.39
|
1.61
|
2.38
|
-0.37
|
|
(0, 3)
|
1.12
|
-3.54
|
-2.43
|
-3.34
|
-5.84
|
-0.71
|
1.76
|
-2.69
|
-4.45
|
-2.15
|
1.63
|
2.38
|
-0.37
|
|
(0.5, 0.5)
|
1.12
|
-3.6
|
-2.48
|
-3.46
|
-5.44
|
-0.71
|
1.76
|
-2.7
|
-4.53
|
-3.07
|
1.49
|
2.38
|
-0.37
|
|
(0.5, 1)
|
1.12
|
-3.58
|
-2.48
|
-3.37
|
-5.54
|
-0.71
|
1.76
|
-2.69
|
-4.54
|
-2.67
|
1.63
|
2.38
|
-0.37
|
|
(0.5, 2)
|
1.12
|
-3.56
|
-2.48
|
-3.23
|
-5.72
|
-0.71
|
1.76
|
-2.67
|
-4.5
|
-2.21
|
1.7
|
2.38
|
-0.37
|
|
(0.5, 3)
|
1.12
|
-3.54
|
-2.47
|
-3.16
|
-5.88
|
-0.71
|
1.76
|
-2.66
|
-4.42
|
-2.14
|
1.7
|
2.38
|
-0.37
|
|
(1, 1)
|
1.12
|
-3.57
|
-2.48
|
-3.25
|
-5.62
|
-0.71
|
1.76
|
-2.68
|
-4.53
|
-2.37
|
1.7
|
2.38
|
-0.37
|
|
(1, 2)
|
1.12
|
-3.55
|
-2.48
|
-3.07
|
-5.78
|
-0.71
|
1.76
|
-2.65
|
-4.47
|
-2.17
|
1.73
|
2.38
|
-0.37
|
|
(1, 3)
|
1.12
|
-3.53
|
-2.48
|
-2.97
|
-5.92
|
-0.71
|
1.76
|
-2.63
|
-4.38
|
-2.24
|
1.73
|
2.38
|
-0.37
|
|
(2, 2)
|
1.12
|
-3.54
|
-2.48
|
-2.8
|
-5.9
|
-0.71
|
1.76
|
-2.6
|
-4.38
|
-2.33
|
1.74
|
2.38
|
-0.37
|
|
(2, 3)
|
1.12
|
-3.52
|
-2.46
|
-2.62
|
-6.01
|
-0.71
|
1.76
|
-2.55
|
-4.28
|
-2.54
|
1.73
|
2.38
|
-0.37
|
|
(3, 3)
|
1.12
|
-3.52
|
-2.4
|
-2.38
|
-6.09
|
-0.71
|
1.76
|
-2.46
|
-4.19
|
-2.78
|
1.73
|
2.38
|
-0.37
|
|
Best p
|
-2, -2
|
-2, -2
|
0.5, 0.5
|
-2, -2
|
3, 3
|
-2, -2
|
-2, -2
|
-2, 3
|
0.5, 1
|
-0.5, -0.5
|
-2, -2
|
-2, -2
|
-2, -2
|
Table C.4: Conditional predicted coefficients for quadratic curves in 12 studies on the association between coffee consumption (cups/day) and all-cause mortality based on a one-stage (os) and two-stage (ts) approach.
| 2 |
-0.043 |
0.002 |
-0.074 |
0.005 |
| 4 |
-0.125 |
0.015 |
-0.112 |
0.013 |
| 5 |
-0.077 |
0.007 |
-0.094 |
0.009 |
| 6 |
-0.060 |
0.005 |
-0.080 |
0.006 |
| 7 |
-0.012 |
-0.004 |
-0.050 |
0.000 |
| 10 |
-0.140 |
0.018 |
-0.115 |
0.013 |
| 11 |
-0.159 |
0.021 |
-0.118 |
0.014 |
| 16 |
-0.028 |
-0.001 |
-0.074 |
0.005 |
| 17 |
-0.134 |
0.017 |
-0.132 |
0.017 |
| 18 |
-0.082 |
0.008 |
-0.101 |
0.010 |
| 28 |
0.032 |
-0.011 |
|
|
| 29 |
-0.019 |
-0.002 |
|
|