Blocking Method of 2nFactorial and Fractional Factorial Designs in Blocks of Size Two by Using Defining Contrast
نویسندگان
چکیده
منابع مشابه
Designing Two-level Fractional Factorial Experiments in Blocks of Size Two
We need extra runs to design two-level factorial experiments in blocks of size two to estimate all the available effects, as is possible in experiments without blocking. The number of runs suggested is (n − p)2n−p for 2n−p fractional factorial experiments. In designing such an experiment, two issues need to be considered. First, the precision of estimates is usually different because different ...
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Two designs for a fractional factorial experiment are equivalent if one can be obtained from the other by reordering the treatment combinations, relabeling the factors and relabeling the factor levels. Designs can be viewed as sets of points in pdimensional space, where p is the number of factors. It is shown that, in this setting, two designs are equivalent if the Hamming distances between the...
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The joint use of counting functions, Hilbert basis and Markov basis allows to define a procedure to generate all the fractions that satisfy a given set of constraints in terms of orthogonality. The general case of mixed level designs, without restrictions on the number of levels of each factor (like primes or power of primes) is studied. This new methodology has been experimented on some signif...
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Multicomponent interventions composed of behavioral, delivery, or implementation factors in addition to medications are becoming increasingly common in health sciences. A natural experimental approach to developing and refining such multicomponent interventions is to start with a large number of potential components and screen out the least active ones. Factorial designs can be used efficiently...
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ژورنال
عنوان ژورنال: Communications for Statistical Applications and Methods
سال: 2008
ISSN: 2287-7843
DOI: 10.5351/ckss.2008.15.4.497