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Descriptive Tables

A two-way table with r rows and c columns contains tex2html_wrap_inline5467 sample counts. Let tex2html_wrap_inline5469 denote the number of observations in the ith row and the jth column, tex2html_wrap_inline5475 , tex2html_wrap_inline5477 . The general form of the data table giving the sample counts is as follows:

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In this table tex2html_wrap_inline5557 are the column totals and tex2html_wrap_inline5559 are the row totals. Thus,

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If the total sample size is n, then

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For most tex2html_wrap_inline5467 tables, a better understanding of the information contained in the table is obtained by examining the column proportions/ which are defined as the jth column proportion tex2html_wrap_inline5571 . The resulting entries in each column form the conditional distribution/ of the row variable given that value of the column variable. Note that the sum of the entries in each column should be 1 (making exception only for round off error). Tables giving entries as proportions of row totals are also useful. Which description to use depends upon the particular set of data being analyzed and what questions are of interest.



Jan Lethen
Wed Nov 13 16:20:46 CST 1996