Cohn S H, Aloia J F, Vaswani A N, Yuen K, Yasumura S, Ellis K J
Calcif Tissue Int. 1986 Jan;38(1):9-15. doi: 10.1007/BF02556588.
With stepwise multiple logistic regression (MLR), probabilistic classification equations were developed to identify asymptomatic women who are at risk for development of fracture of the spine. Clinically normal women with low TBCa/square root H ratios can be classified as at risk for osteoporosis prior to their developing spinal compression fractures. With receiver operating characteristic (ROC) analysis, it was possible to verify the accuracy of the MLR model to discriminate "normal" women at risk, with high sensitivity and specificity. With the MLR model, discrimination of osteoporotic women (50-59 years) was made correctly for 86.2% of the total osteoporotic subjects with the TBCa data. Similar models were derived from the photon absorptiometry data. From the spinal density (BDs) data, correct classification in the 50-59 year group was 55.6% of the total osteoporosis subjects; from the radius density (BMCr) data, the corresponding value was 31%. The highest probability of identifying osteoporosis in all age categories was, therefore, on the basis of TBCa data. Similar, but less accurate discrimination was achieved with the BDs and BMCr data. These conclusions were confirmed by the application of receiver operating characteristic (ROC) analysis. Correct identification of the population at risk permits the timely and efficient application of therapeutic programs prior to onset of fracture. In a serial study of 104 peri-menopausal women, for example, it was possible to determine the P value for individuals measured annually over a 3-10 year period and thus to predict normal individuals at risk for developing osteoporosis each year.
通过逐步多元逻辑回归(MLR),建立了概率分类方程,以识别有脊柱骨折风险的无症状女性。TBCa/平方根H比值低的临床正常女性在发生脊柱压缩性骨折之前可被归类为有骨质疏松风险。通过受试者工作特征(ROC)分析,可以验证MLR模型区分有风险的“正常”女性的准确性,具有高敏感性和特异性。使用MLR模型,根据TBCa数据,对86.2%的骨质疏松症患者(50 - 59岁)正确识别为骨质疏松症患者。从光子吸收测定数据中也得出了类似的模型。根据脊柱密度(BDs)数据,50 - 59岁组中正确分类的占骨质疏松症患者总数的55.6%;根据桡骨密度(BMCr)数据,相应的值为31%。因此,在所有年龄类别中,基于TBCa数据识别骨质疏松症的概率最高。使用BDs和BMCr数据也实现了类似但准确性较低的判别。这些结论通过受试者工作特征(ROC)分析得到了证实。正确识别有风险的人群可以在骨折发生前及时有效地应用治疗方案。例如,在一项对104名围绝经期女性的系列研究中,可以确定在3 - 10年期间每年测量的个体的P值,从而预测每年有患骨质疏松症风险的正常个体。