(a) Calculate the sensitivity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results. (b) Calculate the specificity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results.

(a) Calculate the sensitivity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results. (b) Calculate the specificity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Rothenberg et al. (A-13) investigated the effectiveness of using the Hologic Sahara Sonometer, a portable device that measures bone mineral density (BMD) in the ankle, in predicting a fracture. They used a Hologic estimated bone mineral density value of .57 as a cutoff. The results of the investigation yielded the following data:

Confirmed Fracture

BMD 1⁄4 :57ðTÞ BMD > :57ðT"Þ

Total

Present (D) 214

73 287

Not Present ðD" Þ Total 670 884

330 403 1000 1287

Source: Data provided courtesy of Ralph J. Rothenberg, M.D., Joan L. Boyd, Ph.D., and John P. Holcomb, Ph.D.

(a) Calculate the sensitivity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results.

(b) Calculate the specificity of using a BMD value of .57 as a cutoff value for predicting fracture and interpret your results.

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