منابع مشابه
Factorial and Fractional Factorial Designs with Randomization Restrictions - a Projective Geometric Approach
Two-level factorial and fractional factorial designs have played a prominent role in the theory and practice of experimental design. Though commonly used in industrial experiments to identify the significant effects, it is often undesirable to perform the trials of a factorial design (or, fractional factorial design) in a completely random order. Instead, restrictions are imposed on the randomi...
متن کاملModelling Relations between Instrumental and Sensory Measurements in Factorial Experiments Modelling Relations between Instrumental and Sensory Measurements in Factorial Experiments
In connection to sensory evaluations of foods, chemical or physical measurements of the relevant sensory properties are often searched for. The data available for testing whether some such instrumental measurement is linearly related to a sensory variable usually stem from a factorial experiment rather than from some random sub-population. Thus, to calibrate the two variables properly and to te...
متن کاملModel-averaged confidence intervals for factorial experiments
We consider the coverage rate of model-averaged confidence intervals for the treatment means in a factorial experiment, whenwe use a normal linearmodel in the analysis.Modelaveraging provides a useful compromise between using the full model (containing all main effects and interactions) and a ‘‘best model’’ obtained by some model-selection process. Use of the full model guarantees perfect cover...
متن کاملOptimal Factorial Designs for Cdna Microarray Experiments
We consider cDNA microarray experiments when the cell populations have a factorial structure, and investigate the problem of their optimal designing under a baseline parametrization where the objects of interest differ from those under the more common orthogonal parametrization. First, analytical results are given for the 2× 2 factorial. Since practical applications often involve a more complex...
متن کاملComparison of the Results of Factorial Experiments, Fractional Factorial Experiments, Regression Trees and MARS for Fuel Consumption Data
In this study effects that are significant on the fuel consumption of F-4 aircrafts are analyzed by using different statistical methods and the results of those different methods are compared. The response variable of every possible combination of factors and interactions are analyzed to provide information about main effect(s) and interaction effect(s). MARS is applied in order to find the rel...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1961
ISSN: 0003-4851
DOI: 10.1214/aoms/1177705159