a) odds ratio for each of the tables:
(a/b)/(c/d) = ad/bc
for table no1
(11*197)/(37*23) = 2.55
for table no 2
(11*193)/(23*41) = 2.25
for table of 3
(9*155)/(25*155) = 0.36
for table no 4
(15*157)/(77*19) = 1.61
b & c) for table 1 and 2, results are coherent but, for tables 3 and 4 the odds ratio values are less and greater than 1. respectively. One says that it's protective cause while the other says it's harmful. So there is an information bias here.
It's a detection bias.
The cause is because the exposed group is monitored more closely and the hair color of red, brown or black has a more significant effect rather than having a light or dark hair color
The NHS investigators were interested in evaluating associations between certain characteristics such as hair color and tanning ability and risk of melanoma (Weinstock MA et al., Am J Epidmiol 1991;...