1994
DOI: 10.2116/analsci.10.881
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Uncertainty Structure of Dilution with Pipette and Volumetric Flask

Abstract: Indeterminate error of dilution with pipette and flask is studied based on experiments, statistics, Monte Carlo simulation and probability theory. Equations which describe the error of sample concentration after the dilution are probabilistically derived and verified experimentally and statistically. The uncertainty structure of dilution is shown to be different for the pipette-pipette dilution and the pipette-flask dilution. The theory for dilution error developed here will be a basis to predict the precision… Show more

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Cited by 11 publications
(6 citation statements)
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“…From our calculation, droplet dispensing can control the random errors to be within 5%, compared with 4%-12% random errors of micropipettes in the range of 100 nl to 500 nl. 1,10,[30][31][32][33] As we expected, the random errors of volume using Dotette have a decreasing trend with increasing dispensing volumes [Fig. 4(d)].…”
Section: Characterization Studies Of Droplet Dispensingmentioning
confidence: 76%
“…From our calculation, droplet dispensing can control the random errors to be within 5%, compared with 4%-12% random errors of micropipettes in the range of 100 nl to 500 nl. 1,10,[30][31][32][33] As we expected, the random errors of volume using Dotette have a decreasing trend with increasing dispensing volumes [Fig. 4(d)].…”
Section: Characterization Studies Of Droplet Dispensingmentioning
confidence: 76%
“…The uncertainty factors described above are themselves entirely independent, and equation (4) consists only of multiplicands and divisors. Thus, according to the law of error propagation, the combined RSD 2 is the sum of the squares of the individual RSDs [18], [19]. As a result, the relative combined standard uncertainty is 9.03-16.3% for the 29 isomers.…”
Section: Estimating and Combining The Uncertaintiesmentioning
confidence: 99%
“…the preparation, must be taken into account [7]. The theoretical expression for the response is shown in equation (1).…”
Section: Data Processingmentioning
confidence: 99%
“…We chose to validate the use of diluters in HPLC analyses by comparison with traditional, reliable and well-tried methods using a Pipette and Volumetric Flask, methods of which dispersion characteristics had been studied in depth [1]. An alternate method using a burette instead of pipettes was also evaluated.…”
Section: Introductionmentioning
confidence: 99%