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Very Hot Topic (More than 25 Replies) Offhand Breech vs Fixed (Read 17559 times)
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Re: Offhand Breech vs Fixed
Reply #30 - Mar 10th, 2014 at 11:06pm
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When I'm shooting my best OH, groups can measure and usually measure about ten to twelve inches.  I don't consider them groups. More like patterns. Most of the time I have one or two wide shots. All this about equations and radius and so on makes no sense to me. 

Looks like three threads on this same subject. 



     Joe.
  

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Re: Offhand Breech vs Fixed
Reply #31 - Mar 11th, 2014 at 5:18am
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rgchristensen wrote on Mar 10th, 2014 at 8:07pm:
FRANK:

Group size isn't the best way to measure variance, better is something that considers all the shots and not just the widest two.  Mean radius is better, and root-mean-square is better yet, in that it is more amenable to valid statistical comparisons.

CHRIS
RGChristensen


I disagree.(I don't think he means variance, I think he means accuracy. RMS^2 = variance.) 
Group size does not just consider the widest two shots, but is the range, and the range is frequently used to estimate standard deviation; as in Cat whisperer's imaginary x bar and r charts.
Mean radius and group size are mathematically related such that if we know one we know-or can calculate-the other.
The root mean square deviation of a set of numbers is the standard deviation of that set, and is also mathematically related to group size such that if one is known the other can be calculated.
Mean radius and s.d. are essentially the same as group size, are difficult to understand, aren't commonly used, and to my mind are a bit pretentious.
« Last Edit: Mar 11th, 2014 at 6:00am by joeb33050 »  
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Re: Offhand Breech vs Fixed
Reply #32 - Mar 11th, 2014 at 5:35am
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frnkeore wrote on Mar 8th, 2014 at 5:51pm:
Ok, your going to have to school me on this......... I don't understand how a group that averages 3" as compared to another bunch of groups that average 4" (approx. 1/2 min difference) and be made to expect to be a .041 difference? Unless statistics favor the OH shooter by a lot more than a bench shooter.

Frank

Here's how it works. If the shooter can hold within a 3 moa circle and the gun will shoot in a 1 moa circle, the average total group size is the square root of 3 sqrd+1 sgrd = sqrt of 9+1= sqrt 10 = 3.16 moa. If we improve the gun so it shoots .5 moa, the numbers become sqrt of 3 sqrd+.5 sqrd = sqrt 9+.25 = sqrt 9.25 = 3.04 moa. We reduced gun group size by .5moa, but total group size went down only .12 moa. Shooter affects accuracy much more than gun.
  
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Re: Offhand Breech vs Fixed
Reply #33 - Mar 11th, 2014 at 5:58am
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Assume that variables, acting alone, cause groups of certain sizes. Powder charge variation alone might work so: +/- 0 grain = .1 moa group; +/- .1 gr = .25 moa; +/- .2 gr = .6 moa. 
Then there are group sizes for bullet weight variation and seating depth and powder lot and .... 
How do these variables/group sizes add?  
Let there be only 2 variables, shooter with 3moa group size and gun with 1 moa group size. Make a 3" paper disc and a 1" paper disc. Lay the 3" disc on the table, repeatedly drop the 1" disc on top of the 3" disc such that they touch. Sometimes we get a "snow man", a total group size of 3" +1" = 4", the maximum. Sometimes the 1" disc is all inside the 3" disc. total group size = 3", the minimum. Total group size varies between 3" and 4". The average total group size is sqrt (3 sqrd +1 sqrd)  = sqrt 10 = 3.16".
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Re: Offhand Breech vs Fixed
Reply #34 - Mar 11th, 2014 at 6:07am
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joeb33050 wrote on Mar 11th, 2014 at 5:58am:
Let variables cause groups of certain sizes. ...


Your first sentence does not make sense, could you reword it.

The rest is GOOD.

  

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Re: Offhand Breech vs Fixed
Reply #35 - Mar 11th, 2014 at 6:20am
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Psychobabble............ Grin


      Joe.

  

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Re: Offhand Breech vs Fixed
Reply #36 - Mar 11th, 2014 at 6:28am
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westerner wrote on Mar 11th, 2014 at 6:20am:
Psychobabble............ Grin


      Joe.


This is one of the most important notions in understanding how accuracy occurs, changes and is improved by controlling variables. Get those noodles out of your eyes!
  
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Re: Offhand Breech vs Fixed
Reply #37 - Mar 11th, 2014 at 6:49am
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joeb33050 wrote on Mar 11th, 2014 at 6:28am:
westerner wrote on Mar 11th, 2014 at 6:20am:
Psychobabble............ Grin


      Joe.


This is one of the most important notions in understanding how accuracy occurs, changes and is improved by controlling variables. Get those noodles out of your eyes!


Thus......... more pschycobabble......... Grin Grin
  

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Re: Offhand Breech vs Fixed
Reply #38 - Mar 11th, 2014 at 10:00am
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All this at 6AM this morning!!   I guess you have to get up early in the AM to get ahead of these guys!!

Let me give this up by remarking that "by their nature, uncertainties are not well known or easy to measure."

CHRIS
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Re: Offhand Breech vs Fixed
Reply #39 - Mar 11th, 2014 at 10:11am
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joeb:
Mean radius, radial SD, and group size can be inferred from one another ONLY if you know the distribution.   Given that one can prove a Gaussian distribution (not easy, nor safe to assume), you can readily relate these quantities.   For other distributions, the math can get hairy.
Interesting parallels are found in the evaluation of shotgun patterns.

CHRIS
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Re: Offhand Breech vs Fixed
Reply #40 - Mar 11th, 2014 at 10:18am
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rgchristensen wrote on Mar 11th, 2014 at 10:11am:
Given that one can prove a Gaussian distribution (not easy, nor safe to assume), you can readily relate these quantities.   For other distributions, the math can get hairy.

Look at Joe's target above ... the low and high shots - called or not - are due to an assignable cause. That blows the Gaussian distribution quotient out of the water, as it only works on normal distributions.

I personally don't believe statistical predictions can be made with the groups most people shoot. We have found the problem folks - and it be within us!

Like others have said, a good offhand group and/or score is more predicate on the performance of the shooter than the basic inherent capabilities of the said equipment. Eliminate the errant shots by continuously working on your technique ... and your scores and groups will improve!
  

All of my single shots shoot one tiny ragged hole with cast bullets ... it's just the following shots that tend to open up my groups Wink ...
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Re: Offhand Breech vs Fixed
Reply #41 - Mar 11th, 2014 at 12:29pm
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Well Chris, I assume a normal distribution, as do many others. I think it's both a safe and reasonable assumption, and Karl agreed, last time we spoke. As for "mean radius", the assumption is the definition of the center location. And we know that there are quite a few different centers of n points. Aren't there?


rgchristensen wrote on Mar 11th, 2014 at 10:11am:
joeb:
Mean radius, radial SD, and group size can be inferred from one another ONLY if you know the distribution.   Given that one can prove a Gaussian distribution (not easy, nor safe to assume), you can readily relate these quantities.   For other distributions, the math can get hairy.
Interesting parallels are found in the evaluation of shotgun patterns.

CHRIS
RGChristensen



  
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Re: Offhand Breech vs Fixed
Reply #42 - Mar 11th, 2014 at 1:00pm
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Lefty38-55 wrote on Mar 11th, 2014 at 10:18am:

...
I personally don't believe statistical predictions can be made with the groups most people shoot. We have found the problem folks - and it be within us!
...


Agreed.  BUT there are still some good uses for statistics.  Descriptive statistics are a good way to get a handle on what is.   

Finding the 'whys' is, in the statistical approach, MUCH more complicated and not often done; or done with some presumptious assumptions.

  

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Re: Offhand Breech vs Fixed
Reply #43 - Mar 12th, 2014 at 8:54am
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The short answer is that if you can stay consistently inside the 20 ring you are shooting in the top 10% of shooters at any given match.

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Re: Offhand Breech vs Fixed
Reply #44 - Mar 12th, 2014 at 3:31pm
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40_Rod wrote on Mar 12th, 2014 at 8:54am:
The short answer is that if you can stay consistently inside the 20 ring you are shooting in the top 10% of shooters at any given match.

Thank you! Now THAT gives me a benchmark to shoot for Wink !

  

All of my single shots shoot one tiny ragged hole with cast bullets ... it's just the following shots that tend to open up my groups Wink ...
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