Handbook Of Chemometrics And Qualimetrics by D L Massart , B G M Vandeginste , L M C Buydens Desire L

By D L Massart , B G M Vandeginste , L M C Buydens Desire L Massart

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Sample text

The value of d2 depends on the number k of sets of data used to determine the range and on the number of replicates in the set, n. The value for /: = oo is sometimes called d« or Hartley's constant. 4. 9 and a single set of data was obtained. 7 and s estimated from the range, using eq. 26. The estimation with eq. 29. The range is rarely used forn > 15. 10) In the same way as we can pool variances to obtain a common estimate of the standard deviation from a set of the standard deviations, we can pool ranges.

When n>30 (some practitioners put the limit at 25), then s as defined by eq. 18) 61 For n < 30, s is an uncertain estimate of a. 19) is the (l-a)100% confidence interval for sample sizes n < 30. The r-values are derived from tables of the t-distribution. The notation of eq. 19) is found in many statistics books. Again it should be noted that, although an ISO norm [3] exists, there is no standardization in practice. 9i5 / vn) s Often, and we will follow this practice when we consider it useful, we write down the number of degrees of freedom, for which t is determined \X = X±ta/2,(n-\)(s/^) As for the z-tables, there are many different Ntables available.

The r-distribution for 3 degrees of freedom compared with the z-distribution. 4 One-sided r-table (see also Fig.

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