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#1
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On Sun, 18 Jan 2004 03:28:28 -0500, "Gary Warner"
wrote: "Joe Parsons" wrote: A nautical mile is also, precisely, 6,076.12 feet. [HAIRSPLITTING=ON] That's not precise--that's rounded to two decimals. A nautical mile is, by definition, precisely 1,852 meters, as mentioned above. That converts to 6,076.11549 feet (which still is not precise!). [HAIRSPLITTING=OFF] [HAIRSPLITTING = ON AGAIN] Actually, the statement, "A nautical mile is also, precisely, 6,076.12 feet." IS precise. It may not be exact, but it is precise. [HAIRSPLITTING = OFF] Spliting of hairs Actually, precision is how you define precision - it is a fairly flexible term. One can be precise to two places or ten places - it all depends on how the number is used. Thus, I choose to be precise to 3.88451 feet - 6,080 feet it is. ;) /Splitting of hairs Later, Tom S. Woodstock, CT ---------- "My rod and my reel - they comfort me." St. Pete, 12 Lb. Test |
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#2
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The concepts being wrestled with here are "precision" and "accuracy".
Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. Accuracy implies the correct answer in absolute terms. ================================================== === On Sun, 18 Jan 2004 11:37:42 GMT, Short Wave Sportfishing wrote: On Sun, 18 Jan 2004 03:28:28 -0500, "Gary Warner" wrote: "Joe Parsons" wrote: A nautical mile is also, precisely, 6,076.12 feet. [HAIRSPLITTING=ON] That's not precise--that's rounded to two decimals. A nautical mile is, by definition, precisely 1,852 meters, as mentioned above. That converts to 6,076.11549 feet (which still is not precise!). [HAIRSPLITTING=OFF] [HAIRSPLITTING = ON AGAIN] Actually, the statement, "A nautical mile is also, precisely, 6,076.12 feet." IS precise. It may not be exact, but it is precise. [HAIRSPLITTING = OFF] Spliting of hairs Actually, precision is how you define precision - it is a fairly flexible term. One can be precise to two places or ten places - it all depends on how the number is used. Thus, I choose to be precise to 3.88451 feet - 6,080 feet it is. ;) /Splitting of hairs Later, Tom S. Woodstock, CT ---------- "My rod and my reel - they comfort me." St. Pete, 12 Lb. Test |
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#3
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"Wayne.B" wrote in message ... The concepts being wrestled with here are "precision" and "accuracy". Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. Accuracy implies the correct answer in absolute terms. ================================================== === On Sun, 18 Jan 2004 11:37:42 GMT, Short Wave Sportfishing wrote: On Sun, 18 Jan 2004 03:28:28 -0500, "Gary Warner" wrote: "Joe Parsons" wrote: A nautical mile is also, precisely, 6,076.12 feet. [HAIRSPLITTING=ON] That's not precise--that's rounded to two decimals. A nautical mile is, by definition, precisely 1,852 meters, as mentioned above. That converts to 6,076.11549 feet (which still is not precise!). [HAIRSPLITTING=OFF] [HAIRSPLITTING = ON AGAIN] Actually, the statement, "A nautical mile is also, precisely, 6,076.12 feet." IS precise. It may not be exact, but it is precise. [HAIRSPLITTING = OFF] Spliting of hairs Actually, precision is how you define precision - it is a fairly flexible term. One can be precise to two places or ten places - it all depends on how the number is used. Thus, I choose to be precise to 3.88451 feet - 6,080 feet it is. ;) /Splitting of hairs Later, Tom S. Woodstock, CT ---------- "My rod and my reel - they comfort me." St. Pete, 12 Lb. Test Not exactly. Precision can be described to how many decimal places you go out. Accuracy is how good is the data. 3.88451 is a precision of 5 decimal places and an accuracy of 4 decimal places. The number can be from 3.884505 to 3.884514 And multiplying does not increase precision, only continues the precision of the input values. 3.21 x 3.21 != 10.3041 is only accurate to 10.30. The rest of the numbers are noise / garbage. |
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#4
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3.21 x 3.21 != 10.3041 is only accurate to 10.30.
correct me if I am wrong, but as I remember it 3.21 x 3.21 is only accurate to one decimal because the factors are accurate to only 1 place. I am pretty sure of that but it has been a while since I worried about "precision" and "double precision" numbers. |
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#5
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Actually meant to post only 2 place precision. Yes is only accurate to 1
decimal place. Bill "JAXAshby" wrote in message ... 3.21 x 3.21 != 10.3041 is only accurate to 10.30. correct me if I am wrong, but as I remember it 3.21 x 3.21 is only accurate to one decimal because the factors are accurate to only 1 place. I am pretty sure of that but it has been a while since I worried about "precision" and "double precision" numbers. |
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#6
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#7
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On Sun, 18 Jan 2004 11:53:25 -0500, Wayne.B
wrote: The concepts being wrestled with here are "precision" and "accuracy". Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. That is true. Accuracy implies the correct answer in absolute terms. Accuracy is related to how good (accurate) the data set is. For example, "accurate within 3 meters" is not an absolute - it could be dead on, or three meters off. Now if the phrase stated "accurate to within 2.987654321 =/- .0000000001 meters" - that is precise - you will always know that you will be within 2.987654321 +/- .0000000001 meters of any mark rather than somewhere within the accuracy range of 0 to 3 meters. Now I have a headache. Later, Tom S. Woodstock, CT ---------- "My rod and my reel - they comfort me." St. Pete, 12 Lb. Test |
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#8
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snip
The concepts being wrestled with here are "precision" and "accuracy". Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. That is true. Accuracy implies the correct answer in absolute terms. Accuracy is related to how good (accurate) the data set is. For example, "accurate within 3 meters" is not an absolute - it could be dead on, or three meters off. Now if the phrase stated "accurate to within 2.987654321 =/- .0000000001 meters" - that is precise - you will always know that you will be within 2.987654321 +/- .0000000001 meters of any mark rather than somewhere within the accuracy range of 0 to 3 meters. snip I work with precision measuring devices and find that these are slippery concepts for most people. The shoddy day-to-day usage and close relationship between the two words does not make things any easier. See: http://www.ieee-uffc.org/freqcontrol...g/vigaccur.htm for a nice intuitive explanation of the difference between accuracy and precision. Mark Browne |
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#9
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"Mark Browne" wrote in message news:xcEOb.80651$sv6.188571@attbi_s52... snip The concepts being wrestled with here are "precision" and "accuracy". Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. That is true. Accuracy implies the correct answer in absolute terms. Accuracy is related to how good (accurate) the data set is. For example, "accurate within 3 meters" is not an absolute - it could be dead on, or three meters off. Now if the phrase stated "accurate to within 2.987654321 =/- .0000000001 meters" - that is precise - you will always know that you will be within 2.987654321 +/- .0000000001 meters of any mark rather than somewhere within the accuracy range of 0 to 3 meters. snip I work with precision measuring devices and find that these are slippery concepts for most people. The shoddy day-to-day usage and close relationship between the two words does not make things any easier. See: http://www.ieee-uffc.org/freqcontrol...g/vigaccur.htm for a nice intuitive explanation of the difference between accuracy and precision. Mark Browne Really bad when I make the mistake on an explanation posting. Used to teach Digital Signal Processing and programming for Texas Instrument fixpoint DSP's. Bill |
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#10
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On Sun, 18 Jan 2004 22:58:41 GMT, "Mark Browne"
wrote: snip The concepts being wrestled with here are "precision" and "accuracy". Precision implies repeatable results to some number of decimal places plus or minus an uncertainty factor. That is true. Accuracy implies the correct answer in absolute terms. Accuracy is related to how good (accurate) the data set is. For example, "accurate within 3 meters" is not an absolute - it could be dead on, or three meters off. Now if the phrase stated "accurate to within 2.987654321 =/- .0000000001 meters" - that is precise - you will always know that you will be within 2.987654321 +/- .0000000001 meters of any mark rather than somewhere within the accuracy range of 0 to 3 meters. snip I work with precision measuring devices and find that these are slippery concepts for most people. The shoddy day-to-day usage and close relationship between the two words does not make things any easier. See: http://www.ieee-uffc.org/freqcontrol...g/vigaccur.htm for a nice intuitive explanation of the difference between accuracy and precision. That was interesting - I was going to use rifle accuracy as an example. Actually, I was bored stiff yesterday and wanted to play with the concept a little. Oh well - back to the grind. :) It's tough being retired. Later, Tom S. Woodstock, CT ---------- "My rod and my reel - they comfort me." St. Pete, 12 Lb. Test |
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