Statistical experimental design for

Figure 11.7. Experimental combinations in statistical experimental design for three variables.

Muir, B., Quick, S., Slater, B J. et al. (2005) Analysis of chemical warfare agents II. Use of thiols and statistical experimental design for the trace level determination of vesicant compounds in air samples. Journal of Chromatography A, 1068(2), 315-26. 

Statistical Experimental Designs for First-Order Models... 

Worksheet illustrating a statistical experimental design for evaluating the effect on the dissolution of variations of the test conditions in an in vitro dissolution method. 

We are applying the principles of statistical experimental design to the development of low-density polymer foams for use as direct-drive high-gain targets for Laser Inertial Confinement Fusion (ICF). Both polystyrene (PS) and resorcinol-formaldehyde (RF) foams are being developed. 

The statistical mixture design for 5-components was carried out by using Design Expert, D-Optimal criterion (Version 6.10, Stat-Easy Inc., Minneapolis USA). In this study, there are restriction on the component proportions Xj that take the form of lower Lj and upper Uj constraint as Lj experimental results of the previous study [2,5]... 

Blunders must be eliminated, and all specified data must be collected. The efficiency of these experimental designs has another side effect any missing or defective data has a disproportionate effect relative to the amount of information that can be extracted from the final data set. When simpler experimental designs are used, where each piece of data is collected for the sole purpose of determining the effect of one variable, loss of that piece of data results in the loss of only that one result. When the more efficient statistical experimental designs are used, each piece of data contributes to more than one of the final results, thus each one is used the equivalent of many times and any missing piece of data causes the loss of all the results that are dependent upon it. 

This efficient statistical test requires the minimum data collection and analysis for the comparison of two methods. The experimental design for data collection has been shown graphically in Chapter 35 (Figure 35-2), with the numerical data for this test given in Table 38-1. Two methods are used to analyze two different samples, with approximately five replicate measurements per sample as shown graphically in the previously mentioned figure. 

In order to cover these nine variables adequately, a statistical experimental design was calculated. The statistical experimental design requires the use of 15 simulations for each plenum size. Simulations were repeated using 3 and 10 plenums. 

Adequate resolution of the components of a mixture in the shortest possible time is nearly always a principal goal. Establishing the optimum conditions by trial and error is inefficient and relies heavily on the expertise of the analyst. The development of computer-controlled HPLC systems has enabled systematic automated optimization techniques, based on statistical experimental design and mathematical resolution functions, to be exploited. The basic choices of column (stationary phase) and detector are made first followed by an investigation of the mobile phase composition and possibly other parameters. This can be done manually but computer-controlled optimization has the advantage of releasing the analyst for other... 

Gad, S. (1999). Statistics and Experimental Design for Toxicologists, CRC Press, Boca Raton, FL. 

Gad SC, Weil CS (1986) Data analysis applications in toxicology. In Gad SC, Weil CS (eds) Statistics and experimental design for toxicologists. Telford, Caldwell, NJ, pp 429-444... 

R. H. Lochner, J.E. Matar, Designing for quality an introduction to the best of Taguchi and western methods of statistical experimental design. Chapman and Hall, London-Madras, 1990. 

For our validations, a CVp is a pooled estimate calculated from the particular type of statistical data set (36 samples) described earlier in the Statistical Experimental Design section of this report. A statistical procedure is given in Hald JL for determining an upper confidence limit for the coefficient of variation. This general theory had o be adapted appropriately for application to a pooled CVp estimate. For this design, and under the stated assumptions, there is a one-to-one correspondence between values of CVp and upper confidence limits for CVp. Therefore, the confidence limit criterion given above is equivalent to another criterion based on the relationship of CVp and its critical value. The... 

We have presented a statistical experimental design and a protocol to use in evaluating laboratory data to determine whether the sampling and analytical method tested meets a defined accuracy criterion. The accuracy is defined relative to a single measurement from the test method rather than for a mean of several replicate test results. Accuracy here is the difference between the test result and the "true value, and thus, must combine the two sources of measurement error ... 

A. Dijkstra, and L. Kaufman, Evaluation and Optimization of Laboratory Methods and Analytical Procedures (Amsterdam Elsevier, 1978) G. E. P. Box, W. G. Hunter, and J. S. Hunter, Statistics for Experimenters An Introduction to Design Data Analysis and Model Building (New York Wiley, 1978) R. S. Strange, Introduction to Experimental Design for Chemists, J. Chem. Ed. 1990,67. 113. 

Can you find an experimental design such that the off-diagonal elements of Equation 8.45 are all equal to zero What would be the covariance between b ) and fej, between b0 and bn, and between bl and bn for such a design [See, for example, Box, G.E.P., and Hunter, J.S. (1957). Multi-Factor Experimental Designs for Exploring Response Surfaces, Ann. Math. Statist., 28, 195.)... 

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