Question: 55 For 2 x 2 tables. gamma simplifies to a measure first proposed about 1900 by the statis- tician G. Udny Yule, who also introduced

55 For 2 x 2 tables. gamma simplifies to a measure first proposed about 1900 by the statis- tician G. Udny Yule, who also introduced the odds ratio. In that special case, gamma is called Yule's Q.

a) Show that for a genenc table with counts

(a.

b) in row 1 and

(c.

d) in row 2, the number of concordant pairs equals ad, the number of discordant paurs equals bc, and Q=(ad-br)/(ad+lic).

b) Show that the absolute value of garuma equals I for any 2 x 2 table in which one of the cell frequencies is 0.

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