By Helsel, Dennis R.; Hirsch, Robert M.
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Extra resources for Statistical methods in water resources
Example text
It is symmetric. The second is a right-skewed data set with outliers. The third is a bimodal distribution, also symmetric. 63. Therefore each of the three would be represented by the same dot and line plot, shown at the right of the figure. Dot and line plots are useful only when the data are actually symmetric. If skewness or outliers are present, as with data set 2, neither the plots (or a table of means and standard deviations) indicate their presence. Even for symmetric distributions, differences such as those between data sets 1 and 3 will not be evident.
2). Iman and Conover (1983) suggest that, for a sample size of n, the number of intervals k should be the smallest integer such that 2k ≥ n. Histograms have one primary deficiency -- their visual impression depends on the number of categories selected for the plot. 2b. Both are histograms of the same data: annual streamflows for the Licking River. Comparisons of shape and similarity among these two figures and the many other possible histograms of the same data depend on the choice of bar widths and centers.
Quantiles of the wells with fractures are higher than those without, indicating generally higher yields. 22 shows that the lowest yields in each group are similar, as both data sets approach zero yield. Also seen are the similarity in the highest yield for each group, due to the outlier for the without fractures group. Comparisons between median values are simple to do -- just travel up the normal quantile = 0 line. Comparisons of spreads are more difficult -- the slopes of each data set display their spread.
