If you use On Target scoring software and store the results using an M.S. Excel spreadsheet, you might find this helpful.
My main interest is shooting 600 yd F-Class and 600 yd BR. I collect and study a good deal of test data in an effort to improve overall precision. It's hard to know where you're going if you don't know where you've been. And, as Yogi Berra said: "If you don't know where you are going, you'll end up someplace else.”
Naturally, I keep track of Center-to-Center group size. However, I believe that Mean Radius (also known as Average-to-Center or "ATC") is a more meaningful measure of precision than the ubiquitous CTC measurement. Mean Radius is tedious to calculate by hand, but the On Target Precision Calculator computer program ($11.99) does it automatically. Of course, Mean Radius measurements can be converted to MOA just like CTC group size.
We know instinctively that shooting a certain MOA at 600 yards is more difficult than shooting the same MOA at 100 yards; but how much more difficult is it? Likewise, the more shots in a group, the larger the group tends to be. Just how much larger can we expect a ten shot group to measure when compared with a three shot group?
Those two questions are answered in detail in Bryan Litz's new book MODERN ADVANCEMENTS IN LONG RANGE SHOOTING.
Because I have data collected at different distances and with differing numbers of shots per group, direct comparison is difficult. A 5-shot group which measures .930 ATC @ 600 yards just doesn't jump out at me as better than a 4-shot group measuring .105 @ 100 yards. My goal was to convert all the apples and all the oranges to peaches so that the various Mean Radius values would make sense.
Consider the sample Excel file. The formula in column Q, labeled "ATC Corr" normalizes the Average-to-Center measurement from column M by using factors from the target distance and number of shots per group.
A few caveats: As everyone knows, converting measured group size to MOA is exact and simple for both Center-to-Center and Mean Radius (ATC). Deciding how much a group size grows when you increase the number of shots per group is not as easy, but can be estimated with reasonable confidence. But group dispersion vs. target distance is a different kettle of fish.
It should be obvious that a champion F-Class or BR shooter will produce groups that suffer less dispersion at long ranges than my groups if for no other reason than he has better wind-reading skills. Other factors come into play too. Those interested in such things should consult Mr. Litz's book for more information. My formula is not perfect and Math/Excel experts will likely consider it clumsy. Neither is it universal since it is slanted a bit toward the way I shoot in addition to being reflective of the data gathered by Mr. Litz. He used a year's worth of data from a BR club as well as some F-Class test results from the U.S. Rifle team. In short I took his tabulated data from both disciplines, blended it with my collected data, and using brute force I found a way to warp and tweak my Excel formula cell to more or less match that data.
A peaches-to-peaches comparison (even if the peaches aren't perfect) is certainly an improvement over apples-to-oranges, especially when it comes to the slightly obscure Mean Radius data which many of us find more difficult to visualize than Center-to-Center group size. Now when I look at the corrected ACT data I can get a feel for how my latest 600 yd BR group compares with the data I gathered when I tested that load recipe at 100 yards.
If you keep track of your collected data using Excel, copy the formula from column M and add it to your Excel work sheet, making sure the cell references match your particular spreadsheet. It should be reasonably accurate between 100 yds and 1000 yards for groups with between 3 and 10 shots per group. If you try it, report back with the results.
My main interest is shooting 600 yd F-Class and 600 yd BR. I collect and study a good deal of test data in an effort to improve overall precision. It's hard to know where you're going if you don't know where you've been. And, as Yogi Berra said: "If you don't know where you are going, you'll end up someplace else.”
Naturally, I keep track of Center-to-Center group size. However, I believe that Mean Radius (also known as Average-to-Center or "ATC") is a more meaningful measure of precision than the ubiquitous CTC measurement. Mean Radius is tedious to calculate by hand, but the On Target Precision Calculator computer program ($11.99) does it automatically. Of course, Mean Radius measurements can be converted to MOA just like CTC group size.
We know instinctively that shooting a certain MOA at 600 yards is more difficult than shooting the same MOA at 100 yards; but how much more difficult is it? Likewise, the more shots in a group, the larger the group tends to be. Just how much larger can we expect a ten shot group to measure when compared with a three shot group?
Those two questions are answered in detail in Bryan Litz's new book MODERN ADVANCEMENTS IN LONG RANGE SHOOTING.
Because I have data collected at different distances and with differing numbers of shots per group, direct comparison is difficult. A 5-shot group which measures .930 ATC @ 600 yards just doesn't jump out at me as better than a 4-shot group measuring .105 @ 100 yards. My goal was to convert all the apples and all the oranges to peaches so that the various Mean Radius values would make sense.
Consider the sample Excel file. The formula in column Q, labeled "ATC Corr" normalizes the Average-to-Center measurement from column M by using factors from the target distance and number of shots per group.
A few caveats: As everyone knows, converting measured group size to MOA is exact and simple for both Center-to-Center and Mean Radius (ATC). Deciding how much a group size grows when you increase the number of shots per group is not as easy, but can be estimated with reasonable confidence. But group dispersion vs. target distance is a different kettle of fish.
It should be obvious that a champion F-Class or BR shooter will produce groups that suffer less dispersion at long ranges than my groups if for no other reason than he has better wind-reading skills. Other factors come into play too. Those interested in such things should consult Mr. Litz's book for more information. My formula is not perfect and Math/Excel experts will likely consider it clumsy. Neither is it universal since it is slanted a bit toward the way I shoot in addition to being reflective of the data gathered by Mr. Litz. He used a year's worth of data from a BR club as well as some F-Class test results from the U.S. Rifle team. In short I took his tabulated data from both disciplines, blended it with my collected data, and using brute force I found a way to warp and tweak my Excel formula cell to more or less match that data.
A peaches-to-peaches comparison (even if the peaches aren't perfect) is certainly an improvement over apples-to-oranges, especially when it comes to the slightly obscure Mean Radius data which many of us find more difficult to visualize than Center-to-Center group size. Now when I look at the corrected ACT data I can get a feel for how my latest 600 yd BR group compares with the data I gathered when I tested that load recipe at 100 yards.
If you keep track of your collected data using Excel, copy the formula from column M and add it to your Excel work sheet, making sure the cell references match your particular spreadsheet. It should be reasonably accurate between 100 yds and 1000 yards for groups with between 3 and 10 shots per group. If you try it, report back with the results.