I'd like to know how to the get max value from 3 vector files. Originally, the vector file are interpolated images. (First, point data are interpolated into surface data by IDW method and then exported into vector file). Now I need a vector file with max value obtained from the 3 vector files. When I work on raster image to get max value, firstly, I always do layer stack operation on all images from which max value will extract. After that, I get max value image from stacked image. So what I want to ask is do I need to do layer stack on 3 vector images? If so, what is the operation name/tool in ArcGIS and how can I find max value from stacked vector files?
You don't need to do a layer stack first. Just use the Cell Statistics tool on your rasters:
EDIT: If you want to find the maximum when your inputs are vectors you can do a spatial join and set the merge rule of the field mapping to "MAX".
I agree with Sylvester that you could stick with the raster analysis approach until you get the max value, If you want to have classes you can use a reclass in each raster before the cell Statistics.
But you really need\want to go vector, this is how I would do it:
This is the 9.3 approach, but I believe it won't be much different in 10.1