By J. N. Miller, J. C. Miller
This renowned textbook provides a transparent account of the rules of the most statistical tools utilized in smooth analytical laboratories. Such tools underpin top of the range analyses in parts reminiscent of the security of nutrition, water and drugs, environmental tracking, and chemical production. The remedy all through emphasises the underlying statistical principles, and no distinctive wisdom of arithmetic is needed. there are various labored examples, together with using Microsoft Excel and Minitab, and a number of scholar workouts, a lot of them according to examples from the analytical literature.
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Extra resources for Statistics and Chemometrics for Analytical Chemistry, 6th Edition
6 Confidence limits of the mean for large samples Now that we know the form of the sampling distribution of the mean we can return to the problem of using a sample to define a range which we may reasonably assume includes the true value. ) Such a range is known as a confidence interval and the extreme values of the interval are called the confidence limits. e. a certain probability, that the confidence interval does include the true value. The size of the confidence interval will obviously depend on how certain we want to be that it includes the true value: the greater the certainty, the greater the interval required.
It recommends that the term ‘sample’ is confined to its statistical concept. Other words should be used to describe the material on which measurements are being made, in each case preceded by ‘test’, for example test solution or test extract. We can then talk unambiguously of a sample of measurements on a test extract, or a sample of tablets from a batch. A test portion from a population which varies with time, such as a river or circulating blood, should be described as a specimen. Unfortunately this practice is by no means usual, so the term ‘sample’ remains in use for two related but distinct purposes.
64 From Eq. 05). 88) is less than the critical value so the null hypothesis is retained: there is no evidence that the refluxing time affects the amount of tin found. 5. For the present, it is sufficient to consider only the two-tail values. 399.
Statistics and Chemometrics for Analytical Chemistry, 6th Edition by J. N. Miller, J. C. Miller