Define a 1MOA rifle

No that's not how the 3SR works. In my fictional dataset of 100 shots if one shot were 1.6moa and several 1.1/1.2 it fails the test but change that single shot to 1.5 with the same number of 1.1 & 1.2 moa and it passes the rule. the mean for my fictional dataset was 0.614moa.

I'd suggest that, were this hypothetical not clearly defined "1 moa" guarantee at point of sale to be tested in court the rifle could be shot from a test rig / lead sled to illuminate the shooter as the rifle was guaranteed, not the shooter.

The more interesting argument would be over the ammo, would it be reasonable for a manufacturer to test using custom ammo? or should 5 batches of factory 20 be shot?

I Have significant experience in applying the rule to MBS's not rifles but I think the rule would be considered appropriate by most judges.
The bit I’m struggling with here is that the mean distance from the point of aim should be 0, regardless of the SD.

I think you’re basing your argument on mean group size, rather than mean distance from point of aim? But i haven’t thought through whether that matters.
 
The bit I’m struggling with here is that the mean distance from the point of aim should be 0, regardless of the SD.

I think you’re basing your argument on mean group size, rather than mean distance from point of aim? But i haven’t thought through whether that matters.
Whether its actual values or a delta value from a target (i.e. Zero) it works similarly due to being tied to the SD in the same way SPC works with control limits on IX/XBar charts. While the calcs are slightly different and the results may differ slightly, ultimately the principle that better SD = tighter limits in all outcomes. I don't think it matters whether target is zero and limits are single sided, or if they are double sided around a target somewhere in between upper and lower.
 
No that's not how the 3SR works. In my fictional dataset of 100 shots if one shot were 1.6moa and several 1.1/1.2 it fails the test but change that single shot to 1.5 with the same number of 1.1 & 1.2 moa and it passes the rule. the mean for my fictional dataset was 0.614moa.

I'd suggest that, were this hypothetical not clearly defined "1 moa" guarantee at point of sale to be tested in court the rifle could be shot from a test rig / lead sled to illuminate the shooter as the rifle was guaranteed, not the shooter.

The more interesting argument would be over the ammo, would it be reasonable for a manufacturer to test using custom ammo? or should 5 batches of factory 20 be shot?

I Have significant experience in applying the rule to MBS's not rifles but I think the rule would be considered appropriate by most judges.
Would you be able to share the code you used to work this out?
 
As someone who works in engineering, i really enjoyed reading this thread.

I don't work directly with statistics & software so have little to contribute there.

I'd suggest dropping Eley an email. In .22 target rifle shooting, it's not uncommon for top shots to travel with rifle to Eley and 'batch test' ammunition. They find the batch that after testing shoots best in their rifle, and buy the whole thing.

It definitely involves a sled!

However i think you could ask them how many shots, in what string lengths etc they use to decide on the overall result for each batch.

Good luck and keep us posted!
 
POA is irrelevant

Correct. Hence all my analyses use mean POI of each group fired as the reference point.

A 1MOA rifle is one that produces 1MOA groups when as many external variables as possible are taken out of the equation

Yes - but how often does it need to do that? Every single time? So you can only call it an MOA rifle if, under test conditions, all the shots it ever fires fall within a 1" circle?
 
Yes - but how often does it need to do that? Every single time? So you can only call it an MOA rifle if, under test conditions, all the shots it ever fires fall within a 1" circle?
Aye, that's the rub. You have to define what you mean by a 1 MOA rifle.
Here we are at 6 pages on this topic and we have not even got that far yet.
 
Yes - but how often does it need to do that? Every single time? So you can only call it an MOA rifle if, under test conditions, all the shots it ever fires fall within a 1" circle?
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This is where you are losing me, why wouldn’t it be? Why should anyone be allowed to delete shots they don’t like? 1moa is 1moa, every time. The only thing that needs debating is the correct sample size needed to give an accurate picture of accuracy.
 
Yes - but how often does it need to do that? Every single time? So you can only call it an MOA rifle if, under test conditions, all the shots it ever fires fall within a 1" circle?

This is where you are losing me, why wouldn’t it be? Why should anyone be allowed to delete shots they don’t like? 1moa is 1moa, every time. The only thing that needs debating is the correct sample size needed to give an accurate picture of accuracy.
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That’s fine - I’m happy to go with that definition.

But to be confident it will NEVER shoot outside 1”, you do need a substantially larger sample size than most use.

And I think there are many (possibly most) who would be happy using a looser definition.
 
This is where you are losing me, why wouldn’t it be? Why should anyone be allowed to delete shots they don’t like? 1moa is 1moa, every time. The only thing that needs debating is the correct sample size needed to give an accurate picture of accuracy.

That’s fine - I’m happy to go with that definition.

But to be confident it will NEVER shoot outside 1”, you do need a substantially larger sample size than most use.

And I think there are many (possibly most) who would be happy using a looser definition.
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I’d use a 95% confidence interval.
Using Conh definition I don’t think any rifle could be called 1 moa as you could miss with the next shot.
 
That’s fine - I’m happy to go with that definition.

But to be confident it will NEVER shoot outside 1”, you do need a substantially larger sample size than most use.

And I think there are many (possibly most) who would be happy using a looser definition.
I’d use a 95% confidence interval.
Using Conh definition I don’t think any rifle could be called 1 moa as you could miss with the next shot.
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That’s like saying a Ferrari can’t go 130mph because it could break down at any second? You can only go off of previous data. Obviously once the barrel starts getting burned out it will no longer be a moa rifle. My rifles are all moa rifles, that’s the accuracy I expect, but for them to do under moa all the time then the average 3 shot group will be 0.5moa less. If you are shooting on average 3 shot groups that are moa, the Minute you shoot a 20 round group you’ll be up over 1.5moa
 
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