Question

During last year’s budget crunch, several deserving employees of the Bureau of Procedures (BP) were denied promotions. This year, an unusual number of BP employees retired. The bureau chief suspects that the denial of promotions resulted in increased retirements. Of the 115 employees denied promotion, 32 retired. Of the 58 employees promoted, 9 retired. Present a contingency table, and analyze this information.

Answer 1

This question belongs to theory of attributes. So to familiarise yourself with the concepts and notations first go through it. If you have already done that then it's easy. I have calculated the coefficient of association by Yule to check the degree of association between attributes. Also presented the data in a contingency table.

Attributes N=173 - nof promoted not retired 115 (2) (2B) 283 promoted (A) -nol retired 58 CB2 retired (2B) = 32 rehred (AB)=49 CB) (AB) =q this in a rough presentation situation. Attribute bifurcates promoted & not promoted. of into

C B + Bifurcates into retired not retired. Attribute A Total B 9 32 41 B 49 83 132 Toral 58 115 173 This is your contingency table Yule's coefficient of association - Q- CAB(29) – CA$ CQB] (AB) Ca B2 + ( AB) (2B) - q x 83 -49 X 32 9 x 83 + 49832 = -0.35464 so Promotion responsible for or non promotion is not retirement.