(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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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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