Computational and Mathematical Methods in Medicine
Volume 9 (2008), Issue 2, Pages 105-119
Original Article

A Simple Mathematical Standardized Measurement of Acetabulum Anteversion after Total Hip Arthroplasty

1Department of Orthopaedics, Tao-Yuan General Hospital, Taiwan
2Department of Orthopaedics, College of Medicine, National Taiwan University and Hospital, Taiwan
3Taipei City Hospital, Renai Branch, Taipei, Taiwan
4Institute of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan

Received 27 August 2007; Accepted 12 December 2007

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We invented a standardization method to measure the cup's anteversion after total hip arthroplasty without the influence of patient's position. We measured 68 radiographs of 10 patients after total hip replacement (THR) and calculated the error of each measurement, defined as the difference with the average of the same measuring method on the same patient. We also calculated the repeatability standard deviation (RSD) of each method according to the American Society for Testing and Materials, ASTM E691.

Mean absolute inter-examination angle error, defined as the average of the absolute deviations, was 0.75° for standardized anteversion (range 0.03–2.51°), as compared with those without standardization, 2.30° (range 0.04–13.04°). The inter-examination measurement reliability (precision), defined as one RSD, was 0.99° for standardized anteversion, as compared with those without standarization, 3.50°. There is no difference between patients four and five without (p = 0.097). There is a significant difference with standardization (p < 0.0001).

Our study demonstrated that this mathematical method is a precise tool to measure the anteversion of the acetabular cup. We hope that it can be used widely in the future.