morsetaper wrote:That's all good information, and I appreciate the time given to post responses. But I don't think it quite answers my question. What I'm wondering is, if I'm developing a load, is it reasonable to extrapolate that the charge that gives the smallest group at 50, or even 25 yards, is the one that will produce the smallest group at greater distances? I should have been a little clearer

.
Here is a method which is different and I think better way to do what you are asking about. When I am working up a load for a new powder/bullet combination I typically do a small DOE. I usually do it at 50 yards, because you get better differentiation at 50, but there is no inherent reason it cannot be done at 25, the results will just be less clear and it might take more rounds to verify the results.
1. Do four loads with the new powder/bullet. I typically keep the OAL the same for all of them as that eliminates a variable. For one bullet size, they should be the smallest load you would consider and the maximum you would consider and two evenly spaced loads in between. I typically do 10 per load, although maybe only 6 if is a very initial look at it.
2. Sight in your rifle at the range you will be shooting (with a known load, could be factory ammo for instance) to make sure it is centered and to give you a base line group.
3. On four separate targets, STARTING WITH THE LIGHTEST LOAD AND MOVING UP FROM THERE, shoot all of your rounds. Do not adjust the point of aim at any point. Check the brass of each shot to verify there are no signs of over pressure before moving to the higher load. Note on the targets of each if there are any external issues (action does not cycle on autos, excessive flash, kicks like a mule, whatever).
4. Measure group size for each load, eliminate any known flyers (if you flinched or whatever) as part of that process. {If you want to do a bit more work, measure the distance of each round from the point of aim, calculate the average distance from POA and standard deviation of the data set (any spreadsheet will do this for you easily) the average distance + 3xSTDEV will give you the radius of the group size for 99% of a population at that load.}
5. Graph the data with the load size on the x axis and the y should be either group size or maximum radius (average distance + 3xSTDEV). Mark off any sections of the graph which you might need to eliminate due to external issues (maybe the bottom loads if does not cycle, or top loads if you see overpressure, etc.)
6. Pick the load that gives you the best accuracy in the otherwise acceptable round. Sometimes that is easy as it shows a clear trough, other times it is relatively flat through a section and you can reasonable pick anything in that range.
You need to follow that up with either another DOE centered around the load the graph indicates is the most accurate but with smaller increments and using more rounds (typically I do 20 of each one on either size interpolating to the loads which are at either side of the range you are looking at). If the data points very firmly at a given load (like if the maximum load is also the most accurate, and you are developing it for hunting) then it might be reasonable to just try that single load. It depends on what your goal is.
I like to do my second work up at a longer range than the first (typically 100 yards if I did the first at 50). If you cannot do that, I would at least try it at some point to make sure your results correlate.