T-REX said:BCoates said:TRex - I've been involve in statistics enough to know you can prove or disprove anything with enough numbers. I've ran studies where we could show a statistical difference between a 1.1 avg and a 1.2 avg. With that said, most people load modifications with at least 20 shots each. I know a few who shoot F class that will shoot one load per 20 shot string to fine tune loads. They mainly measure the vertical since horizontal can be due to atmospheric conditions. I like to test at least 4 groups of 5 rds or 2 groups of 10 rds when testing an A vs B load or one reloading step modification vs my standard reloading sequence. I always alternate between the two loads to negate any outside influences from atmospheric conditions or barrel fouling.
My 2 cents,
BC
That seems reasonable (four 5 shot groups or two 10 shot groups) but does not answer my question of what it takes to get a ninety five percent confidence level. If we knew we might find that your test is adequate or we might decide that it is too difficult to get there or that it was not worth it to us. I see folks making decisions on a lot less data and have to wonder if their test is good enough. At least I would like to know what the science tells us is required.
TRex - If you really want to test load A vs load B in a statistical fashion you will need to 1.) Find enough cases with the exact same case volume and neck thickness, 2.) Make sure the cases have been fired the same number of times, have the same headspace, and have the same level of hardness, 3.)Find enough bullets with the same weight and bearing surface length, 4.) Find enough primers that weight exactly the same, 5.) Make sure the bullets are seated to the exact same base to ogive length, 6.) Make sure powder charges are weighed within 1 kernel, 7.) Make sure loaded round runout is within 0.001" for all test rounds.
Then you would shoot each round at an individual bullseye and measure the offset from the bullseye in two axes after getting an exact zero for each load. Then analyze the data using a T test or ANOVA test. I ran some numbers, and it will take 384 rounds total to achieve a 95% confidence level with a 5% confidence interval. Of course you would need to fire the rounds in a round robin style to negate atmospheric condition changes, barrel heat and fouling changes, and shooter fatigue issues.
The point of scientific experiments is to limit as many variables as possible and then test the variable(s) that you want to change. If you have unlimited resources and time, have at it. If you can find enough components that will meet the above criteria, then you would be better served doing some smaller load tests and saving the rest for competition loads. Otherwise choose a method recommended by whoever you trust the most.
Some methods will work for you and some won't. I don't use the same methods as the benchrest guys because I don't control as many variable as they do. I'm just saying what works for me. I'm a scientist, but I'm also willing to accept a certain level of risk to balance my time and resources ($$). My load for my F-TR rifle can and has shot clean scores at midrange, so I must be doing something right. Shooting is not all science, and sometimes things happen that are not normal (good and bad). That is why most shooting sports have national and/or international records, and why we still shoot competitions. Even the rail gun benchrest guys still go to competitions because you don't know which competitor is going to have the best day. You wouldn't go to a competition if you already knew what the results were going to be, right? I know I wouldn't shoot a group if I already know what is going to be the result. That would be an exercise of futility and insanity.