You will not get any argument from me on that point.I do not see what is so hard to understand........ snip.........
You will not get any argument from me on that point.I do not see what is so hard to understand........ snip.........
There is a slight complexity when doing what you are doing and trying to get a correlation that most people do not realize.
The best time to try to get a weight to volume correlation is when the brass is new. If you used fired brass, especially 3 times fired brass, if the charge you use in all three firing is different, the case will swell to different degree and no amount of sizing will bring it back because of difference in work hardening - we don't anneal the head. So when the degree of swelling is different, their volume no long correlates to weight which is what you are seeing.
Case weight can also vary due to differences in the extractor groove. The extractor groove has no relationship to internal volume whatsoever, either static or expanded. [...]
Case weight can also vary due to differences in the extractor groove. The extractor groove has no relationship to internal volume whatsoever, either static or expanded. This topic comes up often at shooting sites such as this. Inevitably, someone will post a graph of case weight versus volume involving hundreds of data points. The best that can usually be said from the many data sets I have seen posted is that there is a very weak correlation, really just a trend, between case weight and case volume. Heavier cases generally tend to have less internal volume. However, many of the data points lie so far off the trend line as to be completely useless for predicting (or sorting) case volume (and therefore pressure) from brass weight. If you sort brass by weight, you will likely end up with sets of cases that on average may have more consistent volume than if they were not sorted at all. But you will also likely have plenty of outliers within any set that are quite different than the rest. This has been demonstrated time and time again with very large data sets.
As could be said for your data as well...... In fact anyone that comes here with such a set of data should immediately be suspected of making up data.
Jpretle – I completely understand of it hurts your head. When I went to graduate school, statistics was my most hated subject… What I discovered though is at least in the scientific world where people don’t talk about that they think/feel but about what can be proven that I understand its role. I still don’t exactly love it but I use it as a tool.
Gstaylorg – "...You really cannot pick and choose my data to make your point – nothing personal but that is completely statistically invalid. It’s like if I pick and choose the ones that fall exactly on the line and tell you how perfect a fit I have…. The idea of running statistics is to avoid this type of bias. All data goes into the calculation of R2 and if that number comes up statistically significant, that is your answer. No ifs or buts…."
I can use your data for one simple reason: all the other data I've seen have far more outliers, they were generally much farther off the curve, and the trend lines were far less satisfying than yours. If your data, as the best case scenario I've yet seen, illustrate my point, then all the other less compelling data sets I've seen illustrate the point with even greater confidence. This is absolutely statistically valid and if you don't agree with that, you better go back to statistics class. I also learned something about statistics in graduate school and what I just stated with regard to comparing data sets is absolutely true.
You're trying to use statistics to support the idea that sorting cases by weight will eliminate most outliers, and I've already agreed with you that this is likely to be true, at least with respect to the data set you showed. However, statistics cannot tell you anything about using case weight as a method for estimating the case volume of specific cases within the set, only probabilities. It is my contention from the other data sets I have seen that the correlation is poor, and the odds of having significant outliers is pretty high. As I noted, the real question is, "Will any benefit realized from using case weight to generate more uniform case volume groups be offset (or more than offset) by the negative impact from selected cases that represent the outliers within the group?". If both sorted and unsorted groups of cases contain a similar number of extreme outliers that might individually result in dropped points during a match, then the answer is "No". If the process sorts out even a few outliers that might cause dropped points relative to unsorted cases, then the answer is "Yes". I have already stated that I, in fact, do use this approach. Not because I really believe it is an inherently accurate way to determine case volume, but because I believe it might result in a slight improvement in case volume consistency, and it takes very little time to do. So why not do it? The answer to that is that I believe that others on this forum that might not know very much about the topic are entitled to viewpoints other than those that are strongly based in favor of this method. That way, they can decide for themselves. You can continue to belabor this point all you wish, but it won't change the fact that there are inherent liabilities and limits to using this approach. From the numerous data sets I have seen posted here over the years, my opinion is that poor to no correlation is better-established than the single excellent data set you provided that does indicate a good correlation between case weight and volume.
"...I am actually surprised that you are now say that “the general trend between weight and case volume does hold true” as that would not be my conclusion reading your earlier post..."
I was specifically referring to your data for that statement. As I mentioned, much of the other data I have seen was far from supportive of a strong correlation Having said that, I do sort cases by weight; the reason being simply that it doesn't take much effort, and I do also believe that sorting cases by tho method is unlikely to make the consistency significantly worse. So for me personally, it isn't a big deal or a huge time sink to do it. But that may not be true for everyone, particularly those that don't have access to a decent analytical balance, which makes it much easier and faster. Whether it actually represents a significant improvement is far from established in my opinion, and other can decide for themselves whether they think it is worth the time.
Just to add a little perspective, the debate on the best way to measure case volume is generally not going to be useful when trying to get a hunting rifle under 1 MOA. All you can do there is buy high quality bullets, use a single lot of decent brass, measure carefully, and hope for the best. All this detail is for benchrest.