Novel statistical methodology reveals that hip shape is associated with incident radiographic hip osteoarthritis among African American women  H. An,

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Novel statistical methodology reveals that hip shape is associated with incident radiographic hip osteoarthritis among African American women  H. An, J.S. Marron, T.A. Schwartz, J.B. Renner, F. Liu, J.A. Lynch, N.E. Lane, J.M. Jordan, A.E. Nelson  Osteoarthritis and Cartilage  Volume 24, Issue 4, Pages 640-646 (April 2016) DOI: 10.1016/j.joca.2015.11.013 Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions

Fig. 1 Mean femur curves of participants by sex and by race. Red curves correspond to the mean shape for incident RHOA cases and blue curves correspond to the mean shape for incident RHOA controls. Osteoarthritis and Cartilage 2016 24, 640-646DOI: (10.1016/j.joca.2015.11.013) Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions

Fig. 2 DiProPerm test results on African American females for the difference between incident RHOA cases and controls. The black, red and blue curves show the smoothed histograms of the entire set of African American females, incident RHOA cases, and controls, respectively. The black dots in the right panel represent the simulated mean difference (MD) statistics. The black curve shown is the smoothed histogram of the MD values, so the area under the curve equals 1. The green vertical line shown on the right side of the black curve represents the observed between-group MD value, while the P-value is the proportion of simulated MD values exceeding the observed value. Osteoarthritis and Cartilage 2016 24, 640-646DOI: (10.1016/j.joca.2015.11.013) Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions

Fig. 3 ROC curves for the DWD direction and the PC directions among African American women. (a) shows the ROC curve of the discrimination rule based on the projections on the DWD direction. (b), (c), (d) and (e) show the ROC curves of the discrimination rule based on the projections on the 1st, 2nd, 3rd and 4th PC directions, respectively. The AUC is reported on the right side of each figure. Osteoarthritis and Cartilage 2016 24, 640-646DOI: (10.1016/j.joca.2015.11.013) Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions

Fig. 4 Proximal femur shape variation between the incident RHOA cases and controls. (a) shows femur shape variation on the DWD direction (P = 0.03); (b) shows femur shape variation on the 3rd principal direction (P = 0.052). The mean shape is shown in green, incident RHOA cases in red, and incident RHOA controls in blue. Osteoarthritis and Cartilage 2016 24, 640-646DOI: (10.1016/j.joca.2015.11.013) Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions

Fig. 5 DiProPerm test result for the difference between the males (red) and females (blue) among incident RHOA cases. Osteoarthritis and Cartilage 2016 24, 640-646DOI: (10.1016/j.joca.2015.11.013) Copyright © 2015 Osteoarthritis Research Society International Terms and Conditions