Does debating the meaning of the word work constitute this as a political thread?
Actually your free throw shooting would follow a bell curve, it’s just that the left portion of the bell curve is cut off due to the boundaries of how you presented the data. You could rearrange the data from your string of free throws to move the boundary and both sides of the bell curve would appear.What I’m saying is that the “distribution” is not symmetrical, Shooting for group is not an activity that lends itself to “normal distribution.” A bell curve is symmetrical on both sides of the peak.
Word choices aren’t the focus. If I could only reliably string together 2 free throw shots through the basket, instead of three, and I had to start over, and every time I start over I talley a mark, (on the side of whatever number applied), I’d have an even more skewed ratio of results on the poor side of 2 or more baskets.
The graphed results of a skill activity like this on an X Y axis is a tiny bump, then a steep downward slope, not a symmetrical bell curve. Now, do a lot of shooters being tested, fall into a bell curve, perhaps, but that’s a separate issue.
Actually your free throw shooting would follow a bell curve, it’s just that the left portion of the bell curve is cut off due to the boundaries of how you presented the data. You could rearrange the data from your string of free throws to move the boundary and both sides of the bell curve would appear.
I find this to be true even when using wind flags. Sometimes they are perfectly still, it seems perfectly calm and the unseen gremlins attack.There are things going on between them and their targets that they cannot see.
Free throws are a binary and pass fail. If we convert it to a percentage, it is just a percentage of pass fail. That is a whole 'nother statistical phenomenon.
Not quite, it is a binary phenomenon and is related to human performance.
One morning, at a Visalia match, twenty years or so back, during a delay before the first match, I was standing next to Eunice Berger (who won the event). There was not a sign of a wisp of wind anywhere on the range, and I said something like, " Looks like this one is going to be a trigger pulling contest". Her reply was that I should not kid myself, that even though the flags were absolutely still, that there were things out there that would move a bullet, that we had no way to see, and that there was no mirage, and that she shot mirage. Thinking about that, I asked her if she would prefer a light steady position to what we had, and she told me that she would. I mention this because it is exactly what you referred to, from a pretty good source. Eunice was an exceptional lady.I find this to be true even when using wind flags. Sometimes they are perfectly still, it seems perfectly calm and the unseen gremlins attack.
I suppose outside of rail guns, ransom rests, and all that jazz, looking at the individual rifle/shooter combination's performance we have the unknown of variability initiated by shooter competency. Some days we are on, some days we are off. It is quite difficult to separate skill from the finite precision of the rifle. But when we do this, now hear me out, we are not having the same discussion that Litz and Hornady originally twisted knickers with. We are answering the question of "how precise (or accurate) am I at shooting this particular rifle/load/barrel combination?"Well at least agree with me on this…. It’s kind of hard to take that part, out of what we do.
Your graph is based on your grouping. if you grouped consecutive misses and consecutive baskets then it would follow a bell curve. It’s the same string of shots, you’re just graphing it differently. A better player would still follow a bell curve, but the center of their bell curve would be toward more consecutive baskets than the center of your bell curve, and their peak would likely be higher, unless perhaps you had an obscene number of consecutive misses.I have to disagree. Pick a competent ball shooter and desired success rate, say 50%. There will be some number of consecutive shots, four, six, what have you, after which they no longer meet that chosen success rate of 50% in many trials.
Although they have a 50% chance of shooting let’s just say 5 in a row, of the times they do not, less than five is far easier, and therefore much more likely to occur, than making six or more.
Yes, but looking at an infinite string of free throws and examining consecutive pass outcomes vs consecutive fail outcomes you should still get a normal distribution. How tall, and how far left or right the center of the distribution was would indicate how skilled the shooter was. And of course, we can get a reasonable guess at what that bell curve would look like with a lot less than an infinite set of free throws.Free throws are a binary and pass fail. If we convert it to a percentage, it is just a percentage of pass fail. That is a whole 'nother statistical phenomenon.
Very cool!5 years as a 6 Sigma Black Belt
And, the expertise built up from all the experimenting and rounds down range.we need to use our deductive reasoning
When I shot BR, I shot primarily HBR, which is for score, and then I shifted to f-class, but then shifted to hunting and haven’t competed in over ten years. That said I grew up shooting at a benchrest club and have been a member(or shooting under a member) for almost thirty years. Although they have started shooting varmint for score at our club, they didn’t do that back when I was shooting BR.Thinking is exercising the most important muscle. ^ Bill, we don’t have a competition where you just shoot all the shots and estimate hit density. Everything is about short trials. (Those short string group sizes are what is being said to now need to be numerically lengthened to be accurate.) I would argue that making a shooter/gun or a person with a basketball perform “more” times, is actually shifting deviation to the human, away from the object, just as the requirement for “consecutive” free throw shots tried to illustrate.
Our Fclass type of bullseye shooting is admittedly more similar to free throw shooting than BR, where a defined ring diameter, like a steel hoop, determines success - 20 liner tens beat 19 center X’s and a 20th shot 1 mm outside the 10 line.
I don’t shoot BR, but even in your group size shooting, there will be no more and no less than two shots that actually matter, right? Whether five shots, ten or twenty shots, only the two shots furthest away from each other constitute the group size. No points awarded for the coziness of all the others. Your game absolutely is to prevent a true flyer (consecutive free throw breaker) which starts over the free throw analogy, even more than it matters in BR that nearly all bullets went through the same hole.
Our working definition of group size or score in either discipline has pass fail traits and binary traits. Lastly, though, Consecutive free throw hits still will not ever follow a bell curve, there will be more singles than doubles, more doubles than triples, and so forth, it is a pure downward slope.
Nailed it!I really think the key to this discusion is Erik's comment about "the gun doing something it has never done before" - that is real! I know enough about statstics to be seriously dangerous (5 years as a 6 Sigma Black Belt), but I think we make a mistake trying to quantify shooting results statistically. None of us mortals can shoot enough rounds to make our result statistically valid. So ultimately we need to use our deductive reasoning - "I made this change and this happened".
There is just too much anadotal evidence that tuners work to disregard them. I have great respect for Mr. Litz, but I think he really missed it here.
It’s symmetrical. It just isn’t necessarily centered on zero.… That is why I would say a symmetrical bell curve of groups smaller than average, and larger than average, does not capture what is going on in our group shooting.