The generation of the experimental design
Department of Mathematics and Statistics, Federal University of Pelotas, Pelotas, RS, Brazil.
Research Article
International Journal of Scientific Research Updates, 2022, 03(02), 064–069.
Article DOI: 10.53430/ijsru.2022.3.2.0043
Publication history:
Received on 12 April 2022; revised on 16 May 2022; accepted on 19 May 2022
Abstract:
Texts and teaching of Experimental Statistics emphasize the statistical analysis of experiments and make only references to the conceptual foundation of experimental research. Basic concepts are vaguely and incompletely defined, and experimental designs are presented as a set of recipes from which one must be chosen for each particular experiment. Consequently, inferences derived from the experiment are often biased. A conceptual basis for the experimental research is considered and a rational procedure for generating the experimental design is suggested. The generation of the experimental design is based on the separate definitions of the structures of the experimental factors and the unit factors, and the association of these two structures by randomization and presence of the experimental factors in the sample. This approach leads to the clear identification of the confounding of the effects from these two structures and of the experimental errors that affect the effects of the experimental factors.
Keywords:
Experiment; Experimental Research; Experimental Factor; Treatment Factor; Intrinsic Factor; Condition Structure; Unit Structure; Randomization; Experiment Structure
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