By Michael Friendly
This ebook deals many new and extra simply available graphical equipment for representing express facts utilizing SAS software program. Graphical equipment for quantitative facts are good constructed and widespread. even if, in the past with this complete therapy, few graphical tools existed for express facts. during this leading edge publication, pleasant provides many features of the relationships between variables, the adequacy of a outfitted version, and doubtless strange positive aspects of the knowledge that may top be noticeable and favored in an informative graphical reveal. full of courses and knowledge units, this booklet specializes in the use, knowing, and interpretation of effects. the place beneficial, the statistical idea with a well-written rationalization is additionally supplied. Readers also will take pleasure in the implementation of those tools within the common macros and courses which are defined within the publication.
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Reprinted by permission of John Wiley & Sons, Inc. 5 Butterfly species in Malaya In studies of the diversity of animal species, tokens (individuals) are collected and classified by species. The distribution of the number of species (types), where k = 1, 2, . . tokens were collected, forms a kind of type-token distribution. An early example of this kind of distribution was presented by Fisher, et al. (1943). 5 lists the number of tokens of each of 501 species of butterfly collected in Malaya. There were 118 species for which just a single instance was found, 74 species for which two tokens were found, down to 3 species for which 24 tokens were collected.
All rights reserved. 5 Exploring Data Tables, Trends, and Shapes, David C. Hoaglin, Frederick Mosteller, and John W. 2 Discrete Distributions This section briefly reviews the characteristics of some of the important discrete distributions encountered in practice. For each distribution, properties and generating mechanisms are described, and you see how the distribution parameters can be estimated and how to plot the frequency distribution. For more detailed information about these and other discrete distributions, Johnson, et al.
529 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 0 0 10 20 Number collected 30 0 1 2 3 4 5 6 7 Number of women 8 9 10 Chapter 2 Fitting and Graphing Discrete Distributions 49 Drawbacks Using a single plot to determine one of four common discrete distributions is advantageous, but our enthusiasm should be limited by several weaknesses in this method: • The Ord plot lacks resistance because a single discrepant frequency affects the points for both k and k + 1. • The sampling variance of k n k /n k−1 fluctuates widely (Hoaglin and Tukey, 1985; Jinkinson and Slater, 1981).
Visualizing Categorical Data by Michael Friendly