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By J. Mandel, L. F. Nanni

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347 , and ent , they will l1 Ch. 6 Grant , for further discussions). that conditions within show up between When tests on patient samples are performed at regular intervals using standard laboratory equipment, the subgroup becomes automatically de- fined, since control samples are, or should be , included in each run. Otherwise, tests on control samples should be run at regular intervals during the day in order to detect possible changes in environmental conditions, reagents , calibrations , technicians, etc.

The errors ei should, on the average, be zero, but each one departs from zero by a random amount. e. O"e. " = ~ Formulas for linear regression The fitting process is known in the statistical literature as the " linear and S e, x. on regression of We will denote the estimates of 13, (T e by /3, and respectively. 31) = I(Yi - ji)2 (4. 33) ji) In terms of these three quantities, we have the formulas: a=y- j3i /3 = (4. 35) Se I (4. 36) N- Sp vV Sa For the data of Table 4. 9, the calculations result in the following values: = 0.

The formula leading to the desired value of percent Mn is ( mg v(ml) . Percent Mn = 100 200 (mt) 15(mt) w(mg) the titer is derived from taking an aliquot of the volume of reagent, and where w is the weight of the sample, of the reagent, and the factor 200/15 ml from a total volume of 200 ml. For a particular titration , the values and their standard errors are found to be: 0040 = 23. 41122 200 (Tt (T (T == 939. (J"w = 0. 000015 = 0. 0040 = 0. 0040 = 0. are read on the balance or on the burettes and pipettes; their standard errors are estimated on the basis of previous experience.

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