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Originally Posted by bsa1917hunter
Originally Posted by Orion2000
Originally Posted by Offshoreman
Thin barrels that heat up quickly will typically shoot two touching, then fliers, each subsequent shot further than the one before as the barrel gets warmer/hotter. I have an old sporterized Model 96 that I turned down similar to a Win FW and it does that with every load I've tried over the years, and in three different stocks.

I have a 6.5x55 with a Krieger #1 barrel that exhibits this pattern when I fire three rounds back to back to back. Need to take it out on a calm cool day and let the barrel cool between rounds to see if it mitigates the issue. If that settles out, will try 5 shot groups...


Originally Posted by bushrat
... If you super imposed each target over the others do the two shots close to each other without the "flier" always land in the same point of impact repeatedly. In other words if you stacked ten of your 3 shot group targets together would 20 shots land in the same spot with 10 random flyers outside the main group?

I have considered trying a variation of this a couple times. Permanently fix a target to a target backer. Tape another target over top of it. Shoot a 3 shot group. Remove and replace the top target, Shoot another 3 shot group. Rinse and repeat 5 times. Measure the "15 shot group" on the original target. Rinse and repeat 5 more times. Measure the "30 shot group". Draw comparisons to the average of the 3 shot groups...

If anyone has done this ^^^^^^ and can post a link, would be appreciative...


Geez that sounds boring. Why not just shoot a couple 10 shot groups so you can see what you and your rifle are really capable of. Also, when you shoot more shots per group (lets say 10), you'll find out where your true poi is. A lot of you guys wont shy away from your 3 shot group theories or phobias.

Yeah. I am a boring kinda guy. But curious. Just firing two 10 shot strings does not satisfy the curiosity of "If I shoot a number of 3 shot strings, what size 5 shot string would I normally expect?" Or, "What size 10 shot string would I expect?"

Spent six years doing technical and consumer research, and statistical analysis of the resultant data. Curious to see if it is possible to extrapolate 3 shot group size to 5 shot group size to 10 shout group size, etc.



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Originally Posted by Orion2000

Spent six years doing technical and consumer research, and statistical analysis of the resultant data. Curious to see if it is possible to extrapolate 3 shot group size to 5 shot group size to 10 shout group size, etc.


The general guide line is 1/2" 3 shot groups = 0.75" 5 shot groups = 1" 10 shot groups.

In other words, what most shooter call 1/2" guns are actually 1" guns.


You didn't use logic or reason to get into this opinion, I cannot use logic or reason to get you out of it.

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Originally Posted by antelope_sniper
Originally Posted by Orion2000

Spent six years doing technical and consumer research, and statistical analysis of the resultant data. Curious to see if it is possible to extrapolate 3 shot group size to 5 shot group size to 10 shout group size, etc.


The general guide line is 1/2" 3 shot groups = 0.75" 5 shot groups = 1" 10 shot groups.

In other words, what most shooter call 1/2" guns are actually 1" guns.


Im in agreement. You see it a lot here. Maybe not as much as before, but still see it. I actually saw a post today in the africa hunting forum where a guy made the comment about having an honest 1/2" 308, but when he was asked to verify by the guide or ph, the rifle shot 1". Now, im sure it was also a 3 shot group he shot, so that particular "honest 1/2" rifle is probably closer to an honest 1 1/2" rifle. Truth be told....guys like to talk their chidt up all the time. It even happens in the real world. Had a guy tell me he was going to "cut the x-ring out" of the target with his 308 in a centerfire match once. I told him maybe we should lay a hundy down on that. It didnt happen. He barely shot a 99. My measly score of 100-9x would have won the money, had he been dumb enough to lay the money down.


Originally Posted by raybass
I try to stick with the basics, they do so well. Nothing fancy mind you, just plain jane will get it done with style.
Originally Posted by Pharmseller
You want to see an animal drop right now? Shoot him in the ear hole.

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Light barrel contours may in many cases be more capable than you'd think. I put a Rem 700 Mountain Rifle barreled action into a 5R Milspec stock and it shot very well. The stock has much better "bag manners" than the MR stock.

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As mentioned earlier, many should read my article on heat-treating barrels, recently published RIFLE. Even the tight-contour barrels that so many shooters still believe "walk" due to warming with more than one shot do NOT, because most are correctly stress-relieved these days.

As stated in the article, waiting a while between shoot tends to enlarge groups, for two reasons: You probably won't be holding the rifle in a similar way, and wind conditions have changed. This is exactly why many target shooters rattle off shots during the same "wind conditions."

Also, most "hunderd-yard hunters" (as somebody recently called most handloaders) never put out wind flags. As a result, they have no clue whether the 1st, 2nd or 3rd shot was tripped off during different "wind conditions," which can affect bullets far more than most would guess at 100 yards. (And no, "hunderd" is not a typo.)

As my article mentions, a barrel "walking" as it heats up can be due to other factors, including barrel bedding, and how well its fitted to the action. But no, properly heat-treated barrels (even very light ones) should not shoot to different places as they started heating up--certainly not within the first three shots. (One of the LEAST stable barrels I've ever fired was a really heavy "varmint" .22-250 barrel on a brand of factory rifle known for good accuracy. Within 3-4 shots it would start shooting higher and to the right.)

As I noted at the beginning of this thread, everything noted by the OP can be easily explained by normal variation--especially of 3-shot groups.


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Originally Posted by antelope_sniper
Originally Posted by Orion2000

Spent six years doing technical and consumer research, and statistical analysis of the resultant data. Curious to see if it is possible to extrapolate 3 shot group size to 5 shot group size to 10 shout group size, etc.


The general guide line is 1/2" 3 shot groups = 0.75" 5 shot groups = 1" 10 shot groups.

In other words, what most shooter call 1/2" guns are actually 1" guns.


The general guide to extrapolate 5 shot to 10 shot groups i.e group shooting can only be useful if you follow the rules. Generalizations of groups shot under anything other than match conditions is useless. Moving of equipment and setup to a different bench and time limits to fire 5 or 10 shot strings is huge. Plus factor in whether you shoot as conditions allow or whether you shoot fast and furious for the conditions. Now 10 shot strings are hard to fire fast and furious Without a condition change, but have seen it done a couple of times.

If you really want to validate the difference between the two here are the guidelines to go by,

For the first match of each day or the first match after a change of distance, fifteen minutes shall be allowed for a ten shot match and ten minutes for a five shot match. For all other matches twelve minutes shall be allowed for ten shot matches and seven minutes for five shot matches. Not less than 30 minutes shall be allowed between the end of a relay of one event and the start of the same relay of the next event.

In other words 1 shot per minute Including sighters with 5 or 10 for record.



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so , out of curiosity, what did you discover was the problem with that 22-250 and how did you cure it?


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I didn't cure it. After trying every modification I could, including different loads, bedding, scopes, etc., I finally decided the barrel had not been stress-relieved correctly--or perhaps not at all, because the manufacturer assumed heavy button-rifled barrels do not require heat-treating.

It would put at least 3 and often 5 shots in 1/2", but when shooting any more before allowing it to cool, they started heading left and high. So I sold the thing.


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Originally Posted by Mule Deer
I didn't cure it. After trying every modification I could, including different loads, bedding, scopes, etc., I finally decided the barrel had not been stress-relieved correctly--or perhaps not at all, because the manufacturer assumed heavy button-rifled barrels do not require heat-treating.

It would put at least 3 and often 5 shots in 1/2", but when shooting any more before allowing it to cool, they started heading left and high. So I sold the thing.


Back in the 90's, they used to also use cryogenics to stress relieve barrels. As we know, the machining process can induce stresses into the barrel and if it is not properly stress relieved, with either heat or extreme cold, poor accuracy can and often occurs...

Skinny barrels can be made to shoot well, as long as the rifle is properly bedded and the appropriate load and optic used. Of course, the human element has to be spot on too...

Pretty lightweight steven's 200 22-250:
[Linked Image from i.imgur.com]

Tikka superlite 6.5 creedmoor:
[Linked Image from i.imgur.com]

These 2 rifles are ones I don't even waste my time with 3 shot groups. There have been countless times where I've shot 4 into the same hole with these 2. Don't even get me started on either of my CTR's...:
[Linked Image from i.imgur.com]
This sob shoots to exactly where I'm looking... The dropped shot was all on me...


Originally Posted by raybass
I try to stick with the basics, they do so well. Nothing fancy mind you, just plain jane will get it done with style.
Originally Posted by Pharmseller
You want to see an animal drop right now? Shoot him in the ear hole.

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BSA,

Have talked to several barrelmakers about cryogenics, and the consensus was that it didn't make any consistent difference (if any) after the barrels were done--but did help some with the blanks BEFORE they were drilled, reamed and rifled. But also know that at least one of those barrelmakers (a top-notch cut-rifling firm) eventually quit doing it, since it cost more time and money and didn't make enough consistent difference.


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Originally Posted by Mule Deer
BSA,

Have talked to several barrelmakers about cryogenics, and the consensus was that it didn't make any consistent difference (if any) after the barrels were done--but did help some with the blanks BEFORE they were drilled, reamed and rifled But also know that at least one of those barrelmakers (a top-notch cut-rifling firm) eventually quit doing it, since it cost more time and money and didn't make enough consistent difference.

Thanks JB. I was wodering why they stopped doing it.. You know your buddies boddington and WVZ talked that cryogenics up quite a bit back in the day...


Originally Posted by raybass
I try to stick with the basics, they do so well. Nothing fancy mind you, just plain jane will get it done with style.
Originally Posted by Pharmseller
You want to see an animal drop right now? Shoot him in the ear hole.

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Had the same problem with Remington CDL in 257 Weatherby Magnum.

Lot of powder down a slim tube. In my opinion simply heat.

Overcame by shooting load development cartridges at 10 minute intervals.

Slow but in my opinion more indicative of reality

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Wondering if OP tracked each shot, ie. was it the 2nd shot or 3rd that was the flier? Did it jump back and forth or did it put two shots together and the 3rd was a flier? Or was the1st one off and shots 2& 3 together. That can tell a lot whether it is 2 shot, 5 shot, or 10 shot group.


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This is included in the original post:

"Sometimes it’s the first shot that flys off, sometimes it’s the second, sometimes it’s the third. Sometimes it’s vertical, sometimes it’s horizontal, sometimes it’s diagonal."


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Originally Posted by Mule Deer
This is included in the original post:

"Sometimes it’s the first shot that flys off, sometimes it’s the second, sometimes it’s the third. Sometimes it’s vertical, sometimes it’s horizontal, sometimes it’s diagonal."


Parallax?


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Maybe, but the scopes on his three Savage rifles?

As I noted earlier, it would be better to shoot more meaningful 5-shot groups--if the fliers really bother him.


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Here is a good test of your rifles groups and it works for me. I will go out and shoot a group that I have worked up at the bench and lets say it shoots that group into an inch or inch and half. I know that it is loaded to what my gun likes and have loaded all rounds the same.....exact weigh in powder, seating, crimp, trim length....every thing the same. Now. on a day or days when there is no wind ( or less than 3 to 5 mph), cool days and most of time early in the morning, for some reason I can shoot my best in the morning. When I shoot this round I will have the same hold on the gun, same trigger pull and finger positioned on that trigger at same spot, cheek positioned the same.....everything that I can possibly do to produce a good shot. I will shoot only one shot this day and I will do my best to put it where I am aiming. Now, after several days of doing this, the targets are numbered and saved to compare and the targets are within that 1" group or 1.5" group of that rifle. I only am looking for a hunting round (deer hunting) and if it cannot put these rounds into that inch or inch and half, I have developed a bad round. Good out to far as I can shoot and that is 300-350 yards.


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Originally Posted by Mule Deer
This is included in the original post:

"Sometimes it’s the first shot that flys off, sometimes it’s the second, sometimes it’s the third. Sometimes it’s vertical, sometimes it’s horizontal, sometimes it’s diagonal."


OK.did not see that. Brain Fart.

Last edited by saddlesore; 04/30/20.

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Originally Posted by Mule Deer
Maybe, but the scopes on his three Savage rifles?

As I noted earlier, it would be better to shoot more meaningful 5-shot groups--if the fliers really bother him.


The scopes on the three Savages are a;
250 Savage M-16 Weather Warrior w/Leupold VXIII 4.5-14X40 AO,
223 Rem in a Savage Axis w/Bushnell Trophy 4-12X40 AO (Timney trigger)
308 W. In Savage Axis w/Burris Fullfield II 3-9X40 (Timney trigger)
None of these three rifles give me much problems. Once in a while the 223 will change POI a bit but not bad.

The rifle that has given me the most grief by far is a custom chrome-moly (I believe “hook cut”) barreled M-70 with a 24” barrel installed by the well known barrel maker. The action is bedded, barrel is floated and I have tried 4 different quality scopes on it. Zeiss conquest, Leupold Vari -X III AO, Nikon Monarch w/AO and now a Meopta MeoPro with AO. Also have tried a whole host of medium to slow powders and various bullets. I’ve shot it morning, noon and late evening, wind still to light wind days. Same problems as mentioned before. However the flyer gets tighter with the other two with some loads. I’ve cleaned the barrel with WipeOut, Hoppe’s #9, Shooter’s Choice, Holland’s Witches Brew, Carb Out, etc. All pretty with much the same results.
I also have a 22-250 in a Winchester Featherweight with a stainless custom 3 groove 24” Feather weight barrel by another well known barrel maker. This barrel installed by a gunsmith who is also a benchrest shooter. Same thing, action bedded, barrel floated, tried multiple scopes with AO. Multiple different bullets too but I have pretty much stayed with H-380 powder with this rifle. I will be trying some of the new IMR Enduron powder soon with it though. It will quite often give me the two shots touching and one flyer way out in space.
On this rifle though, it is quite possible that barrel fouling might be the issue. I am pretty sure the barrel fouls after about 20 rounds or so and that is causing the problem, but not 100% certain.

FYI for one of the previous posters: I most always shoot multiple rifles when I target shoot to gauge my shooting ability for the day. I’m not naive enough to believe that I always shoot perfect. And yes I generally make note of which shot gives me the goofy flyer. Oh, and I shoot 100, 200 and 290 yards.
I also most always neck shoot 99% of the deer I kill and have for over 30 years, with two being just under a laser shot 200 yards.
(Well, one was laser shot, the other paced off as it was before laser range finders were on the market)

MD, I am curious as to why you feel a consecutive 5 shot group is better than 3 or 4 three shot groups shot in succession?

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Here's my chapter from the BIG BOOK OF GUN GACK II on the subject:

Chapter Five:
The Pros and Cons of Three-Shot Groups

Before World War Two many shooters fired 10-shot groups when testing rifles or ammunition, including Col. Townsend Whelen, author of the oft-quoted “only accurate rifles are interesting.” Even many hunters typically fired 5-shot groups when sighting-in, yet today 3-shot groups have become almost universal outside of formal competition.

What happened?

Before the war, most hunters used factory ammunition and iron-sighted rifles. Few owned a deer rifle capable of grouping less than 2-3 inches at 100 yards, yet still killed deer, so didn’t worry about tiny groups. In fact, many didn’t worry about groups at all, shooting only one round before adjusting their sights. Another factor may have been the war itself. As shooting supplies for civilians became scarcer, it made sense to use less ammunition.
Many older gun writers (including Whelen) were professional military men who helped develop rifles and ammunition. Many newer gun writers were primarily hunters, thanks to big game populations rising considerably after their low point around 1900. The most influential post-war writer was Jack O’Connor, who in his book The Hunting Rifle stated: “I consider the 3-shot group fired from a cold barrel indicative of the practical accuracy of a big-game rifle.”

During the 1950’s, handloading, rifle scopes and benchrest shooting all became far more popular. Many new handloaders read articles about using benchrest techniques to turn their scoped rifles into one-inch wonders, and discovered tiny clusters occurred more often when they only fired three shots.

This is exactly why so many 21st century deer hunters own “half-minute” rifles. The super-accurate handloads for most of these half-minute deer rifles are often range-proven by shooting handloads with slightly different powder charges, then picking the smallest cluster as The Load. I know this because so many friends and acquaintances “work up” hunting loads this way.

Recently, several of us had a short discussion after one guy showed off targets shot with a new .223 Remington, using handloads with different powder charges. The 3-shot groups ranging from slightly over half an inch to just under an inch, and the shooter wondered if free-floating the rifle’s barrel might improve accuracy.

Another guy said, pointing at the smallest group, “You’re not happy with a half-inch rifle?” I suggested (based on some experience) that ALL the groups probably represented the overall accuracy of the rifle—at least with 3-shot groups. The second guy looked me like I had two heads, neither with a brain.

Another friend gets almost irate whenever anybody suggests 3-shot groups don’t reveal a rifle’s accuracy level. He’s been testing ammo and sighting-in his big game rifles with 3-shot groups since reading Jack O’Connor as a kid, and taken a bunch of animals out to 350 yards, mostly with one shot.

So what’s the deal?

First, let’s look at the positives. Three-shot groups work for typical big game hunting because big game is by definition BIG. Even pronghorns and South Texas whitetails have a vital area the size of a volleyball. (If you didn’t know, the diameter of an official volleyball is slightly over eight inches.) As a result, any rifle averaging three shots in less than 1.5 inches at 100 yards will cleanly take big game out to 400 yards, and even farther. I know this due to range-testing, plus killing various animals at 400+ yards. (While 1.5 inches may seem like pretty sad accuracy, especially for a gun writer, we’re often forced to hunt with factory ammo in factory rifles. It’s tough work but somebody has to do it.)

For the same reason, 3-shot groups are sufficient for sighting-in the average big game rifle, whether scoped or not. Plus, several of my rifles are so accurate a single bullet hole at 100 yards reveals whether they’re still sighted-in. Why shoot twice more?

Now let’s look at the negatives of 3-shot groups:

Super-accuracy’s sometimes required for shooting distant targets, whether paper, varmints, or big game, and 3-shot groups aren’t enough to predict the spread of all shots from a rifle and load. With any rifle, 5-shot groups will average larger than three-shot groups, and 10-shot groups larger yet.

Many hunters believe this occurs due to thin barrels heating up. While some barrels will warp when warmer, a properly stress-relieved barrel keeps laying bullets in there even when HOT. A good example is the New Ultra Light Arms rifles built by Melvin Forbes, partly because the Douglas barrels he uses are correctly stress-relieved. After a fellow gun writer test-fired his first NULA sporter, he simply had to call me, because he’d shot a group of 30+ shots into about an inch, never pausing to allow the barrel to cool.

This doesn’t mean some barrels aren’t correctly stress-relieved, but the contour doesn’t really matter. The worst warper I’ve ever owned was the varmint-weight barrel on a .22-250 Remington, made by a factory known for accurate rifles. The first 3-4 shots went into tiny clusters, but after that they could land anywhere within a three-inch circle—and yes, the barrel was free-floated. This doesn’t work when shooting prairie dogs, so the rifle went down the road.

The real reason 3-shot groups average larger is the laws of chance, and applies to super-accurate benchrest rifles as well as light-barreled sporters. Assuming a single 3-shot group represents the widest spread of any rifle’s shots is like driving a pickup from Boise to Spokane and averaging 15.2 miles per gallon, then assuming the pickup will always get 15.2 miles per gallon, no matter the road, speed or weather.

Even averaging several 3-shot groups doesn’t provide a real look at the possible spread. If you doubt this, on your next range visit shoot three, 3-shot groups with the same ammo, using a different target for each group. When you get home, place each three-shot target carefully over a new target, and use a pen to make a circle inside each bullet hole, ending up with a drawing of a 9-shot group. I’d be willing to bet a brick of .22 Long Rifle target ammo the 9-shot group will be larger than the average of the 3-shot groups—but it will also be a better prediction of your load’s true accuracy.

So when do we really need to know the maximum level of accuracy of a rifle and load? One example might be 1000-yard benchrest shooting.

The world record for a single 10-shot group was set in 2014 by Jim Richards, at the Northwest Sectional Competition in Missoula, Montana for the annual matches held by the Original Pennsylvania 1000-Yard Benchrest Club. The group was officially measured at 2.659 inches, smaller than the 3-shot groups most hunters shoot at 300 yards—if they ever bother shooting a target at 300.

Jim’s a member of the Broadwater Rod and Gun Club in Townsend, Montana, of which I happen to be a life member, and I’ve talked to him about his group. He’s actually a comparative late-comer to long-range benchrest shooting, but learned quickly, and like all serious competitors goes to extreme lengths to make every round exactly alike. But he differs from some other benchresters, since he set the record with a used 6mm Dasher purchased from a fellow competitor!

The main point, however, is Jim Richards did not depend on 3-shot groups to develop the record-setting load. Instead he depended on firing more than three shots at various ranges. (For those desiring more details, the rifle has a Krieger barrel, Borden action, Shehane synthetic stock and Nightforce Benchrest scope, and the bullets were 105-grain Berger Hybrids, weight-sorted and then tip-uniformed with a meplat tool.)

I’m not interested in competing in benchrest matches, preferring to spend my “spare” time hunting, something that can be done pretty much year-round in Montana. But I do like to see what sort of groups can be shot at distances from 100 to, occasionally, 1000 yards. (The Broadwater Rod and Gun Club’s range extends to 1000, one reason Jim Richards is a member.) But I do considerable small-varmint shooting, and after the experience with the barrel-warping .22-250 started testing my rodent rifles by firing 10-shot groups as fast as possible, both to test group size and see if the increasingly warmer barrel kept laying them in there.

In the process I learned that any rifle/load combination that couldn’t put 10 under an inch at 100 yards wasn’t accurate enough to consistently hit Richardson’s ground squirrels at 200 yards, or prairie dogs twice their size at 300. Today I try to work up loads that put 10 shots inside .8-inch at 100, which converts to 2.4 inches at 300 yards—about the diameter of a tennis ball, or the width of a mature prairie dog.

Consistently hit means hitting rodents more than you miss. I’ve hunted prairie dogs with record-setting benchrest shooters, gunsmiths who build record-shooting benchrest rifles, top-notch military snipers and instructors, and nationally successful bullseye competitors. In a typical 5-10 mph breeze, none ever hit more prairie dogs than they missed much past 300 yards—and even at 300 you’d better have a very accurate rifle to hit more than you miss. (Another thing learned over the decades is most prairie dog shooters think they hit far more than they actually do, and to many any prairie dog they hit counts as consistently hitting ‘em, even if they took a dozen shots to finally get the job done.)

Eventually I abandoned three-shot groups when seriously testing most ammunition, because subsequent groups with any load that shot an initial tiny cluster almost never matched that first group, and the instances when they did were so rare they really stuck out. One of those rarities occurred when testing a bunch of different .25-06 Remington handloads in a Ruger No. 1AH. The first three-shot group with the 75-grain Hornady V-Max and 58.0 grains of Accurate 4350 measured .39 inch, so I loaded up nine more rounds and shot three more 3-shot groups. They measured .41, .39 and .37, for a four-group average of .39.

But that’s as rare as a pro-gun Democrat from San Francisco. More typical was the first group with the 156-grain Norma Oryx and 60.0 grain of H4831 from a .280 Ackley Improved. The three shots spanned exactly the magic half-inch, but three more groups with the same load averaged .93 inch, good but not magic.

So how many shots are required to truly predict the accuracy of a given rifle and load? A few years ago a guy named David Bookstaber contacted me about some new statistical analysis being done on exactly this subject. He’s a professional statistician (one of his recent jobs was as a “financial engineer”) who realized no major work had been done on accuracy analysis for a number of years. Eventually he was joined in the research by an actual rocket scientist (the director of one of the major U.S. government research labs), plus two more professional statisticians from Europe. You can look up the technical stuff on the website ballistipedia.com, but here are some Bookstaber’s main points:

First, statistical analysis of groups is designed to predict within a certain confidence level how a particular rifle/load will continue to perform. This confidence level is expressed as a percentage, such as 60% or 95%, with 95% obviously preferable to 60%.

Bookstaber confirmed my empirically-derived distrust of 3-shot groups, but one of his main points is that measuring the widest-shot spread in a group is a relatively poor way of analyzing accuracy: It assigns the same value to a one-inch group whether all the shots are evenly scattered inside than inch, or several cluster into half an inch, with a single “flier” outside the cluster. Instead, computing the standard deviation of the radius of each shot, from the center of a group, results in more confidence in any prediction of future accuracy.

Bookstaber mentioned the standard rifle accuracy test used for decades by the American Rifleman magazine, the average of five, 5-shot groups at 100 yards. Statistically, he found this pretty good—but if it used the standard deviation of all shots in a group, rather than extreme spread, the same confidence level could be determined by shooting fewer shots.

Shooting fewer shots is exactly what most hunters are after with 3-shot groups, but they don’t understand how the size of a typical big-game animal masks errors. What we can say is 3-shot groups averaging an inch are sufficient to produce a 100% confidence level for shooting volleyballs at 400 yards, but not enough for 100% confidence in shooting tennis balls at 300.

Many prairie dog shooters think 3-shot groups work because they expect to miss some prairie dogs anyway, but Bookstaber found “a single 3-shot sighting group will, on average, be .6 MOA from the true center.” Which is why three 3-shot groups almost always result in a much larger 9-shot group.

Around 1990, ballisticians at Speer calculated a seven-shot group provided the same amount confidence level as a 10-shot group. Bookstaber points out the “analysis was based on key parameters from very small Monte Carlo simulations done by Frank Grubbs in the 1960s. When you use better numbers – like those from the million-iteration simulations I ran for ballistipedia – you discover that 6-round groups are actually the optimum and 5-round groups are practically as efficient.”

However, most shooters won’t understand any of this, or even care. It’s been so long since ten-shot or 5-shot groups were standard, very few shooters understand they’ll always average larger than 3-shot groups from the same rifle. And neither results in many bragging-size “half-minute” groups from a deer rifle!


“Montana seems to me to be what a small boy would think Texas is like from hearing Texans.”
John Steinbeck
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