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Influence of the Fitted Straight Line for Confidence Bands Algorithm in Q-Q Plots

Influence of the Fitted Straight Line for Confidence Bands Algorithm in Q-Q Plots
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摘要 Confidence bands in a Normal Q-Q Plot allow us to detect non-normality of a data set rigorously, and in such a way that the conclusion does not depend on the subjectivity of the observer of the graph. In the construction of the graph, it is usual to fit a straight line to the plotted points, which serves both to check the hypothesis of normality (linear configuration of the plotted points) and to produce estimates of the parameters of the distribution. We can opt for dif-ferent types of lines. In this paper, we study the influence of five types of fitted straight lines in a Normal Q-Q Plot used for construction the confidence bands based on the exact distribution of the order statistics. Confidence bands in a Normal Q-Q Plot allow us to detect non-normality of a data set rigorously, and in such a way that the conclusion does not depend on the subjectivity of the observer of the graph. In the construction of the graph, it is usual to fit a straight line to the plotted points, which serves both to check the hypothesis of normality (linear configuration of the plotted points) and to produce estimates of the parameters of the distribution. We can opt for dif-ferent types of lines. In this paper, we study the influence of five types of fitted straight lines in a Normal Q-Q Plot used for construction the confidence bands based on the exact distribution of the order statistics.
作者 Sonia Castillo-Gutiérrez María Dolores Estudillo-Martínez Emilio Damián Lozano-Aguilera Sonia Castillo-Gutiérrez;María Dolores Estudillo-Martínez;Emilio Damián Lozano-Aguilera(Department of Statistics and Operations Research, University of Jaén, Jaén, Spain)
出处 《Open Journal of Statistics》 2021年第6期925-930,共6页 统计学期刊(英文)
关键词 Normal Q-Q Plot Confidence Bands Fitted Straight Line Goodness of Fit Normal Q-Q Plot Confidence Bands Fitted Straight Line Goodness of Fit
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