Estudo comparativo de gráficos de probabilidade normal para análise de experimentos fatoriais não replicados
Two-level factorial designs are widely used in industrial experimentation. However, many factors in such a design require a large number of runs to perform the experiment, and too many replications of the treatments may not be feasible, considering limitations of resources and of time, making it...
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| Formato: | Dissertação |
| Idioma: | por |
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Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/18638 |
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| Resumo: | Two-level factorial designs are widely used in industrial experimentation. However,
many factors in such a design require a large number of runs to perform the experiment,
and too many replications of the treatments may not be feasible, considering limitations
of resources and of time, making it expensive. In these cases, unreplicated designs are
used. But, with only one replicate, there is no internal estimate of experimental error
to make judgments about the significance of the observed efects. One of the possible
solutions for this problem is to use normal plots or half-normal plots of the efects.
Many experimenters use the normal plot, while others prefer the half-normal plot and,
often, for both cases, without justification. The controversy about the use of these two
graphical techniques motivates this work, once there is no register of formal procedure
or statistical test that indicates \which one is best". The choice between the two plots
seems to be a subjective issue. The central objective of this master's thesis is, then, to
perform an experimental comparative study of the normal plot and half-normal plot
in the context of the analysis of the 2k unreplicated factorial experiments. This study
involves the construction of simulated scenarios, in which the graphics performance
to detect significant efects and to identify outliers is evaluated in order to verify the
following questions: Can be a plot better than other? In which situations? What
kind of information does a plot increase to the analysis of the experiment that might
complement those provided by the other plot? What are the restrictions on the use
of graphics? Herewith, this work intends to confront these two techniques; to examine
them simultaneously in order to identify similarities, diferences or relationships that
contribute to the construction of a theoretical reference to justify or to aid in the
experimenter's decision about which of the two graphical techniques to use and the
reason for this use. The simulation results show that the half-normal plot is better to
assist in the judgement of the efects, while the normal plot is recommended to detect
outliers in the data |
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