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Through the tool of indicator function and the idea of semifoldover, we propose two simple and effective techniques to produce designs with partially replicated points in general two-level FF designs, whether they are regular or not.
Most fractional factorial designs have no replicated points and thus do not provide a reliable estimate for experimental error.
It is empirically shown that the error of the approximation of the parameter variance by the inverse of the Fisher information is reduced as the number of replicated points is increased.
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We used Bayesian hierarchical models to estimate occupancy for 63 breeding bird species, while accounting for variable detection with data collected from 1941 temporally replicated point count stations.
Two replicated tissue points were sampled from each HCC patient.
Error bars represent the standard deviation, n = 4 8 replicate points.
Two important practical limitations of these designs are (1) the lack of replicate points from which experimental error might be directly assessed, and (2) the potential for serious estimation bias if interactions among the experimental factors are present.
Within each selected quadrat, 3 replicate points were randomly chosen to photograph.
For studies of viral pathogenesis and hematopoietic reconstitution, a relatively small number of animals can generate sufficient replicate points for analysis.
Finally, the calibration curve replicate points were run adjacently.
At each location, three replicate points were designated, adjacent to and 1 m at either side of the transect marker.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com