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As people tend to generally consider accuracy and precision as having one and the same meaning, it is important to highlight the distinct difference between these two terms in order to comprehend the discussion on precision engineering
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Fig 11: McKeown s chart showing the scale of things: where microtechnology and nanotechnology fit [3]*
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Fang and Venkatesh [4] have generated a nanosurface on silicon with Ra = 1 nm, which is suggested as a possibility for aluminium in the above chart
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The term accuracy simply refers to the degree of agreement of the measured dimension with its true magnitude or, in other words, it is the ability to hit what is aimed at, whereas the term precision refers to the degree to which an instrument can give the same value when repeated measurements of the same standard are made In short, precision pertains to the repeatability of a process [5, 6, 7] The distinct difference between accuracy and precision is explained here from two different perspectives: To understand the first perspective, let us consider a marksman who has fired twenty shots to hit the centre of a Fig 12: AFM-3D analysis of a micromachined silicon target, the bull s eye, which is represented by surface showing a smooth surface with a large the area within the circle shown in Figure number T of ductile streaks [4] 13 [7] The figure shows the possible outcomes of the exercise illustrating the difference between the terms accuracy and precision It is worth noting that measuring instruments do not give a true reading because of problems pertaining
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Fig 13: The difference between accuracy and precision The dots in the circles represent places in the circles
where the shots had hit The cross + represents the centre of the target (the bull s eye) [7]
Precision Engineering
to accuracy and precision Similarly, a marksman may not hit his desired target for the same reason given earlier in the case of measurements The + sign represents the centre of the target (the bull s eye) Figure 13 (a) shows a series of repeated shots that are accurate because their average is close to the central point of the circle There is no precision because the process has too much of scatter In Figure 13 (b), the repeated shots in the series are seen to be precise (very close to one another) indicating the repeatability of the process, even though the shots had not been hit exactly at the centre of the circle; hence, in this case, there is no accuracy The marksman had aimed poorly at the target However, such a process can be improved Figure 13 (c) shows the series of repeated shots tightly compacted around the true shot (at the centre of the circle), and these shots are both accurate and precise This is an example of an inherently good process, and such a condition is vital to precision engineering The second perspective of accuracy and precision can be understood when we consider a certain dimension of a part machined to length, l A sample group of these machined parts were measured with a sufficiently accurate instrument, and the results are approximated to get a normal curve as shown in Figure 14 (a) The accuracy of the measurement is defined in terms of the difference, dm, between the mean value, N , and the specified (or nominal) dimension called the bias The smaller the bias, the higher is the accuracy Precision, on the other hand, is measured in terms of the degree of the smallness of the dispersion, e, from the mean value From the statistical point of view, a process with 1s is the most precise when compared with that with 2s and 3s, and a process with 2s more precise than one with 3s This is clearly evident in Figure 14 (b)
Fig 14: (a) Frequency distribution showing measurements of parts machined to a length [1] and (b) the normal
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