Residual confounding example
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ABCDEFGHIJKLMNOPQRSTUVWXYZAAAB
1
Lung cancerSmokingAir pollution exposureLung cancerSmoking with errorAir pollution exposure with errorAir pollution exposureSmoking with errorInterceptExperimental inputs
2
-1.202-0.447-0.405-1.202-0.597-0.405TRUE0.9321.0390.027Smoking % errorAir pollution % error
3
0.4400.368-0.7500.4400.294-0.750WITH ERROR IN CONFOUNDER0.9790.9830.02820.00%0.00%
4
-1.962-1.526-0.611-1.962-1.849-0.611
RESIDUAL CONFOUNDING EFFECT BIAS
5.05%
5
-1.6190.2430.069-1.6190.1410.069Smoking effectAir pollution effectSmoking - air pollution association
6
1.3340.8280.2931.3340.6220.293
7
-2.007-1.146-1.531-2.007-1.408-1.531110.5
8
0.515-0.114-0.3670.515-0.044-0.367
9
1.0302.2441.2791.0302.4021.279
10
0.9970.0291.2910.997-0.1961.291
11
2.1761.2191.2602.1761.1861.260
12
-2.320-1.118-1.069-2.320-1.118-1.069
13
-1.388-0.6710.526-1.388-0.9570.526
14
-0.875-0.582-0.793-0.875-0.459-0.793
15
-0.0320.1330.041-0.032-0.1580.041
16
-0.414-0.4110.004-0.414-0.1580.004
17
0.360-0.1900.5890.360-0.1010.589
18
-2.314-1.707-0.994-2.314-1.602-0.994
19
1.9981.4190.4231.9981.1020.423
20
1.2070.7050.6111.2070.6430.611
21
-0.0190.4140.402-0.0190.4610.402
22
0.729-0.130-0.0800.729-0.106-0.080
23
1.2130.5980.2171.2130.4900.217
24
-0.3110.9440.191-0.3111.1440.191
25
-0.0960.105-1.081-0.0960.163-1.081
26
0.0570.1340.1420.0570.1030.142
27
-2.400-1.124-0.766-2.400-1.070-0.766
28
-0.278-0.0910.108-0.278-0.0600.108
29
0.119-0.209-0.0410.119-0.586-0.041
30
-0.510-0.875-0.176-0.510-0.759-0.176
31
0.2780.0760.2840.2780.4570.284
32
-1.2300.483-1.168-1.2300.368-1.168
33
-2.059-0.649-0.918-2.059-0.499-0.918
34
0.171-0.0900.4790.1710.0970.479
35
-2.402-1.330-1.028-2.402-1.396-1.028
36
-0.5880.300-0.207-0.5880.145-0.207
37
1.4240.0790.0241.4240.2750.024
38
1.1861.2540.4321.1861.2910.432
39
-0.5220.2000.740-0.5220.1350.740
40
0.373-0.2540.6580.3730.1090.658
41
0.2050.2430.1730.2050.3460.173
42
1.5060.5600.4181.5060.3740.418
43
3.4551.6181.0293.4551.7001.029
44
-0.686-0.046-0.320-0.6860.150-0.320
45
-0.809-1.201-0.603-0.809-0.917-0.603
46
0.5840.7950.4410.5840.7060.441
47
-1.031-0.842-0.031-1.031-0.700-0.031
48
1.0270.9250.6011.0270.6960.601
49
3.8082.3381.4343.8082.1481.434
50
0.4370.553-0.4610.4370.745-0.461
51
-1.278-1.987-0.689-1.278-1.917-0.689
52
0.641-0.0580.1030.641-0.2470.103
53
-1.829-0.480-0.302-1.829-0.424-0.302
54
-0.1050.047-0.058-0.105-0.195-0.058
55
-0.6360.4830.303-0.6360.2390.303
56
-2.051-1.412-1.078-2.051-1.226-1.078
57
-0.1751.0290.371-0.1750.7850.371
58
-0.7650.1560.134-0.7650.4350.134
59
3.3990.5391.0043.3990.7441.004
60
0.3620.581-0.1320.3620.371-0.132
61
-0.4360.0060.733-0.4360.1090.733
62
-6.502-2.187-1.759-6.502-2.445-1.759
63
0.0560.8130.5360.0560.6860.536
64
2.2950.5780.0842.2950.7010.084
65
0.539-0.360-0.5090.539-0.402-0.509
66
-0.1050.0810.490-0.105-0.0980.490
67
-0.9080.1400.125-0.9080.2560.125
68
1.9070.8170.2541.9071.5260.254
69
0.8930.5240.0720.8930.3310.072
70
-0.4500.1430.000-0.4500.4680.000
71
-0.121-0.040-0.048-0.121-0.085-0.048
72
-1.729-1.184-0.393-1.729-1.296-0.393
73
-2.2610.1360.183-2.261-0.2190.183
74
2.3580.7030.7752.3580.7670.775
75
0.4130.499-0.2280.4130.536-0.228
76
-0.9690.7800.080-0.9690.6450.080
77
-1.609-0.605-0.468-1.609-0.631-0.468
78
-1.880-1.123-0.415-1.880-0.879-0.415
79
1.7781.509-0.1451.7781.208-0.145
80
-3.815-1.089-1.079-3.815-1.131-1.079
81
-1.1110.292-0.104-1.1110.373-0.104
82
-1.064-0.772-0.423-1.064-0.508-0.423
83
0.000-0.250-0.0720.000-0.004-0.072
84
1.5840.1200.0891.584-0.0090.089
85
0.3041.0780.5150.3040.9340.515
86
-2.949-2.278-1.192-2.949-2.630-1.192
87
1.1020.7311.0241.1020.9891.024
88
-3.829-2.019-1.147-3.829-2.178-1.147
89
1.279-0.168-0.4861.279-0.029-0.486
90
3.4041.6392.2263.4041.8202.226
91
-3.532-2.030-0.882-3.532-1.792-0.882
92
-2.088-0.660-0.575-2.088-0.674-0.575
93
2.8940.1490.7572.8940.0140.757
94
1.6040.274-0.0871.6040.483-0.087
95
-1.1540.150-0.391-1.154-0.117-0.391
96
-0.7790.129-0.352-0.7790.014-0.352
97
0.395-0.194-0.1110.3950.152-0.111
98
-0.1840.008-0.455-0.184-0.138-0.455
99
-1.488-1.606-0.334-1.488-1.556-0.334
100
-1.588-1.025-0.474-1.588-0.980-0.474
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