proportion with many variables

roundcubeseven

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In many data sets, categories are often ordered so that you would expect to find a decreasing or increasing trend in the proportions with the group number. Let's look at a data set from a case-control study of esophageal cancer in Ile-et-Vilaine, France, available in R under the name "esoph".
 
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Please put this in a new thread, and state the entire problem. It is not at all clear what kind of proportion you want to solve.

(new thread started as suggested)
 
How you would "solve proportion if 3 variables are given" depends strongly on exactly what the proportion is and how it is presented!

For example "x is directly proportional to yz" means that x= kyz for some constant k. In particular, if we hold y constant then "ky" is also constant and we can say "for constant y, x is directly proportional to z". Equivalently, "for constant z, x is directly proportional to y".

On the other hand if "x is directly proportional to y/z" then "for constant z, x is directly proportional to y" and "for constant y, x is indirectly proportional to z".

With four variables, "if uv is directly proportional to xy" then uv= kxy so u= kxy/v= (ky/v)x= (kx/v)y= (kxy)/v and we can write "for constant y and v, u is directly proportional to x", "for constant x and v, u is directly proportional to y", and "for constant x and y, u is indirectly proportional to v".
 
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