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 Post subject: Accuracy v precision
PostPosted: Thu Jan 05, 2006 12:10 
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This is a split off another thread that went off topic...

smeffy wrote:
Oddly enough I also agree with starfin.
Accuracy is the degree of veracity while precision is the degree of reproducibility.
My previous definition of accuracy isn’t complete as noise (a form of tolerance) is allowable.

A previously accurate instrument can (at best) only be considered to be precise if it then suffers from a gain or offset (calibration) error. In this case, the speedo which consistently reads 5% high is inaccurate (because the system gain is wrong, hence the displayed value is wrong because it’s off-centre), but it can be considered to be precise if the reading is repeatable (assuming it has the resolution for significant levels of variance to be detected).

JT wrote:
"...Precision is a reliably consistent result (given the resolution) but off target (in this case a constant 5% error)..."

Isn't that "repeatability", or in lay terms consistency?

What a marksman would call "grouping" - ie an accurate marksman with a consistently inaccurate gunsight will achieve a close grouping of off-target shots.

Yes (at least I think so).

Apologies for the digression. Do we need this thread split up?


Precision has nothing to do with the actual VALUE of the reading, only with the instrument's ability to make the reading to the required resolution. An instrument with a high degree of precision or resolution (0.01 +/-0.005mm in the case of vernier callipers for example) is absolutely useless if it is not accurate because it is used at the wrong temperature for examle. In this case, the instrument may READ 1.25mm when the actual VALUE is 1.55mm. In this case, you have a fairly high degree of precision but low accurecy. However, an instrument with a low degree of precision or resolution (ie 1 +/-0.5mm for a steel rule) used at 22 deg. C may read 1mm when the true value is 1mm. In this case you have a low precision with high accuracy. It is more difficult to obtain high accuracy in a high precision instrument, as the higher the precision the tighter the tollerance (or allowable discrepency). Therefore in order to be accurate the instrument must be callibrated more carefully. It also becomes increasingly difficult to maintain good accuracy the larger the measured value becomes, as small discrepencies in the reading are magnified. Precision is constant regardless of the value of the measurement taken.

I think you're getting bogged down with tollerance and callibration, and other system factors smeggy. Accuracy and precision are, in a simple sence, very basic concepts.

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Last edited by Sixy_the_red on Thu Jan 05, 2006 12:26, edited 1 time in total.

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PostPosted: Thu Jan 05, 2006 12:15 
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and whats it about then ... ?


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PostPosted: Thu Jan 05, 2006 12:27 
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Wait for me to type it then! :D

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 Post subject: Re: Accuracy v precision
PostPosted: Thu Jan 05, 2006 13:17 
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smeffy wrote:
Oddly enough I also agree with starfin.

Thanks, but...
smeffy wrote:
Accuracy is the degree of veracity while precision is the degree of reproducibility.

That wasn't what I said :!:

Sixy_the_red wrote:
Precision has nothing to do with the actual VALUE of the reading, only with the instrument's ability to make the reading to the required resolution. An instrument with a high degree of precision or resolution (0.01 +/-0.005mm in the case of vernier callipers for example) is absolutely useless if it is not accurate because it is used at the wrong temperature for examle. In this case, the instrument may READ 1.25mm when the actual VALUE is 1.55mm. In this case, you have a fairly high degree of precision but low accurecy. However, an instrument with a low degree of precision or resolution (ie 1 +/-0.5mm for a steel rule) used at 22 deg. C may read 1mm when the true value is 1mm. In this case you have a low precision with high accuracy. It is more difficult to obtain high accuracy in a high precision instrument, as the higher the precision the tighter the tollerance (or allowable discrepency). Therefore in order to be accurate the instrument must be callibrated more carefully. It also becomes increasingly difficult to maintain good accuracy the larger the measured value becomes, as small discrepencies in the reading are magnified. Precision is constant regardless of the value of the measurement taken.


That's what I meant!


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PostPosted: Thu Jan 05, 2006 14:11 
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:yawn:

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 Post subject: Re: Accuracy v precision
PostPosted: Thu Jan 05, 2006 16:21 
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Thanks for splitting the thread. I’m sure that almost everyone else was growing tired of us. However, I would prefer that a moderator moved everything from my pedantic post onwards.

Sixy_the_red wrote:
Precision has nothing to do with the actual VALUE of the reading, only with the instrument's ability to make the reading to the required resolution.


I sort of agree but not entirely, I hope this is the source of our disagreement (we’ll be going in circles if not). Resolution is not a measure of precision (although a level of resolution is required to demonstrate a level of precision). You can have an instrument with a high resolution which can still be imprecise and inaccurate (due to e.g. stability).

I just had a surf and came across this (IEEE):

http://www.ieee-uffc.org/freqcontrol/qu ... gaccur.htm

In our case, the speedo described will fit into the first column: precise (repeatable) but inaccurate (wrong) because there is a constant level of offset in the system (the process of calibration will remove the offset and make it accurate and well as precise).

Sixy_the_red wrote:
I think you're getting bogged down with tollerance and callibration, and other system factors smeggy.

I must disagree. I’m not trying to be rude here, but it was you who brought those terms into the discussion.
I hope your spelling of tolerance and calibration isn’t deliberate. ;)

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PostPosted: Thu Jan 05, 2006 16:35 
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Actually smeggy precision IS resolution in terms of mechanical instruments. The resolution of the measurement is a definition of its precision - ie a micrometer will have a resolution (smallest measureable quanitity) of 0.001 +/-0.0005mm. Therefore it is PRECISE to 0.0005mm. Its zero or basepoint is set by calibration, and if it is not calibrated correctly then it will suffer 'precise yet inacurate results'. The resolution will not chance but the correctness of the result will.

Like I said previously I think that we're looking at the same terms from different sides. I spent 3 years at Uni studying (amongst other things) instrumentation and control systems in mechanical engineering applications, and that's where I got my definitions from. However, if you're talking about signal generation rather than measurement then it is possible that the terms have different meanings.

Oh and BTW - I'm an engineer, not an english teacher! :P

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PostPosted: Thu Jan 05, 2006 17:34 
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Sixy_the_red wrote:
I spent 3 years at Uni studying (amongst other things) instrumentation and control systems in mechanical engineering applications

Ditto!

Sixy_the_red wrote:
Actually smeggy precision IS resolution in terms of mechanical instruments.

I still disagree. Some mechanical instruments are capable of being influenced, a speedo is a good example (EDIT: a micrometer can suffer from mechanical wear resulting with mechanical error beyond its resolution). An instrument can have a level of precision below that of its resolution due to noise/instability/drift/susceptibility. If a system can be influenced, the resolution won’t change but the precision can suffer.

Sixy_the_red wrote:
….and if it is not calibrated correctly then it will suffer 'precise yet inacurate results'. The resolution will not chance but the correctness of the result will.

This brings me full circle – the speedo in question wasn’t accurate, but it was (or may be) precise; ‘accurate’ was not the correct term to use in that instance.



Sixy_the_red wrote:
Oh and BTW - I'm an engineer, not an english teacher! :P

‘Function over form’, being a fellow engineer I can certainly agree with that :D

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PostPosted: Fri Jan 06, 2006 10:20 
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smeggy wrote:
balrog wrote:

The Triumph on the other hand is the most accurate bike I have had, its about 5% all the way through the range.


I assume you mean precise

[/pedantic]


But ACCURATE is still the correct word to use when describing the error in speedo reading in this case. All bike speedos have the same precision - +/-0.5mph. You cannot use the word PRECISE to describe error!

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PostPosted: Fri Jan 06, 2006 10:41 
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Sixy_the_red wrote:
But ACCURATE is still the correct word to use when describing the error in speedo reading in this case. All bike speedos have the same precision - +/-0.5mph. You cannot use the word PRECISE to describe error!

I wasn’t using the term ‘precise’ to describe an error; I wasn’t describing any error (or anything negative) at all. I said ‘precise’ due to the “5% all the way through the range” statement.
The speedo is inaccurate because it has an error (off-center), but balrog used a positive term for the description (inaccurate didn’t make sense given the context), hence my comment.

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PostPosted: Fri Jan 06, 2006 11:14 
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But I still don't agree that the word precise is correct in this context. Maybe consistant or reliable, but not precise.

I don't think we're ever going to agree on this, so let's leave it eh? :drink2:

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PostPosted: Fri Jan 06, 2006 12:16 
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Sixy_the_red wrote:
But I still don't agree that the word precise is correct in this context. Maybe consistant or reliable, but not precise.

"precision: The ability of a measurement to be consistently reproduced. "

http://dictionary.reference.com/search?q=precision




Sixy_the_red wrote:
I don't think we're ever going to agree on this, so let's leave it eh? :drink2:

Agreed :drink2: :yesyes: that's something I really could do with right now!

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