Categorical Data Analysis with SAS and SPSS Applications by Bayo Lawal

By Bayo Lawal

This ebook covers the basic elements of express info research with an emphasis on how you can enforce the types utilized in the booklet utilizing SAS and SPSS. this is often finished throughout the widespread use of examples, with correct codes and directions, which are heavily relating to the issues within the textual content. techniques are defined intimately in order that scholars can reproduce comparable effects on their lonesome. starting with bankruptcy , routines on the finish of every bankruptcy extra increase scholars' realizing of the ideas by way of requiring them to use a number of the principles expressed within the textual content in a extra complex potential. every one of these routines require in depth use of PC-based statistical software program. a number of tables with result of analyses, together with interpretations of the implications, additional advance scholars' knowing of the material.

Categorical info research With SAS(R) and SPSS Applications features:
*detailed courses and outputs of all examples illustrated within the e-book utilizing SAS(R) 8.02 and SPSS at the book's CD;

*detailed assurance of issues usually missed in different books, reminiscent of one-way class (ch. 3), the research of doubly labeled information (ch. 11), and generalized estimating equations (ch. 12); and

*coverage of SAS(R) PROC FREQ, GENMOD, LOGISTIC, PROBIT, and CATMOD, in addition to SPSS PROC CROSSTABS, GENLOG, LOGLINEAR, PROBIT, LOGISTIC, NUMREG, and PLUM.

This e-book is perfect for upper-level undergraduate or graduate-level classes on express information research taught in departments of biostatistics, information, epidemiology, psychology, sociology, political technology, and schooling. A prerequisite of 1 12 months of calculus and records is usually recommended. The ebook has been type validated through graduate scholars within the division of biometry and epidemiology on the scientific collage of South Carolina.

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EXERCISES 37 9. 31). Find the probability of X = 2 given N = 80, n = 4, and n\ — 40. Compare this answer to a binomial approximation for X with n — 4 and TT = 40/80. 10. For the binomial distribution with parameters n and 0, show, using momentgenerating function techniques that Z\ = x~n9 has asymptotically a standard normal distribution. 11. Use SAS^ software for this problem. Let X have the hypergeometric distribution. Find the probability density function of X given that TV = 80, n = 4, and n\ =40.

The above test has been referred to (Tate and Hyer 1970) as the exact multinomial test or EMT for brevity. 2) for each vector. Since the number of configurations is given by M = ( n ^_7 )' with moderate n and k therefore, the EMT may be feasible but with n and k large, the sheer number of these configurations as n or k (or both) increase can make the exact test cumbersome. 2 for instance, gives values of M for some n and k. 2: Number of possible configurations (M) consistent with given n and k From the preceeding table of possible configurations, it is realized that in order to conduct the exact multinomial test (EMT), one would need to generate all such configurations that are consistent with n and k which we have seen from the above table, that, it can be really tasking for k and n large.

E, as the sample size n increases) distribution for X 2 , while Wilks (1938) derived that of G2. Cramer (1946) had also derived the limiting distribution of X2 . Lawal (1984), Larntz (1978), Koehler and Larntz (1980), and West and Kempthorne (1972) have, among others, studied the comparative accuracies of some of the above test statistics. One advantage of G2 over other test statistics however, relates to its partioning property, which allows us to decompose the overall G2 into small components.

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