data taken from table in... Dewailly E. Poirier C. Meyer FM. Health hazards associated with windsurfing on polluted water. American Journal of Public Health. 76(6):690-1, 1986 Jun. Abstract We documented the risks associated with windsurfing on sewage polluted water. Seventy-nine windsurfers and 41 controls were studied over a nine-day period for occurrence of symptoms of gastroenteritis, otitis, conjunctivitis, and skin infection. Relative risks were 2.9 for occurrence of one or more of these symptoms and 5.5 for symptoms of gastroenteritis. Relative risk increased with the reported number of falls into the water. dataset (revised June 18, 1997) Variables falls 0 = controls 5 = those who fell 0-10 times 15 = those who fell 10-20 times 25 = those who fell 20-30 times 40 = those who fell > 30 times sick 0 = no 1 = yes number number of such individuals denom denominator ie #(sick = 0) + #(sick =1) -------- NOTES if you are fitting binary regression models, and if the program (e.g. INSIGHT in SAS) allows you to specify a numerator and a denominator as part of the model, then you could omit the observations with say sick = 0 ( redundant since #(sick = 0) + #(sick =1) = denom ) In INSIGHT, you specify the denominator variable in the box entitled "Binomial". Proc LOGISTIC in SAS allows two formats to specify the model (i) MODEL variable = independents (ii) MODEL events/trials = independents Format (i) ---------- The response variable Y is a 0 or a 1 (it is assumed that the denominator is 1 unless explicitly told with a FREQ statement telling it to find the 'duplication factor' i.e. how many subjects have that value of Y. With (i), the Y=0 observations are SEPARATE from the Y=1 observations). PROC LOGISTIC; MODEL sick = falls; FREQ number; You could also use format (i) in INSIGHT if the observations are individuals or if you have the sick and the not sick on different lines. Format (ii) ----------- Data a; INPUT falls sick number denom; IF sick = 1; cases = number; PROC LOGISTIC; MODEL cases/denom = falls;