An I Ã J table has ordered columns and unordered rows. Ridits (Bross 1958) are data-based column

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An I × J table has ordered columns and unordered rows. Ridits (Bross 1958) are data-based column scores. The jth sample ridit is the average cumulative proportion within category j,

j-1 Σ p. P+, k=1


The sample mean ridit in row i is RÌ‚i = ˆ‘j rÌ‚j pj|i. Show that = ˆ‘j p+j rÌ‚j = 0.50 and ˆ‘i pi+RÌ‚i = 0.50. 

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