British Journal of Radiology (2003) 76, 123-128
© 2003 British Institute of Radiology
doi: 10.1259/bjr/56105358
Evaluation of calcaneus bone densitometry against hip and spine for diagnosis of osteoporosis
E D Williams, PhD, FIPEM1,2 and
T J Daymond, FRCP, D Phys Med2,3
1 Regional Medical Physics Department and3 Rheumatology Department, Sunderland Royal Hospital, Sunderland and 2 University of Sunderland, Sunderland, UK
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Abstract
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Dual X-ray absorptiometry (DXA) is now widely available as a method for assessing bone density. However, the place of peripheral bone densitometry in clinical practice for diagnosis of osteoporosis is not yet clear. To examine the potential use in our district general hospital setting, we compared calcaneus measurements with conventional DXA of the hip and spine in 100 patients referred for assessment following identification of risk factors for osteoporosis. Measurements were made on both heels and the results were found to be similar but not completely interchangeable. Use of receiver operating characteristic curves confirmed that a threshold T-score of -1.6 could be used to identify many of the high risk subjects. However, there was only moderate agreement between fracture risk classifications derived from heel T-scores, and diagnostic classification (osteoporosis/osteopenia/normal) derived from axial DXA. The specificity of heel measurements was high, but sensitivity was poorer. Heel measurements could therefore be valuable in some circumstances for finding patients for whom treatment of osteoporosis would be appropriate, such as in a population with a low prevalence of osteoporosis. They may also be of value in a population with a high prevalence of disease, particularly if there were no alternative means of bone densitometry. However, with an intermediate prevalence, the relatively high risk of false negative values would mean that false reassurance could be given to many of those classed as "low risk". This could be a major drawback in clinical practice if heel densitometry were used as the initial investigation and axial measurements were also available, since they would give conflicting results for a substantial proportion of these patients.
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Introduction
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Measurement of bone density by dual X-ray absorptiometry is the established method for diagnosing osteoporosis non-invasively and for monitoring treatment [1]. Conventional practice is to scan a hip and the lumbar spine, since the bone density in each of these areas provides the best available indicator of the risk of a fracture at the same site [2]. Fractures in either location can be severely disabling, and in particular hip fracture in the elderly is associated with a significant mortality. This project was designed to assess the utility of a new rapid method for assessing peripheral bone density, peripheral instantaneous X-ray imaging (PIXI; Lunar Corporation, Madison, WI), by direct comparison with the existing best available technique. Peripheral bone mineral assessments, using less expensive and potentially portable equipment, appear to be an attractive option for use in the community by enabling a diagnostic facility to be available more widely, for example in primary care clinics. Whilst there is an association between heel bone density and risk of fracture elsewhere [2], the accuracy of diagnosis of osteoporosis using PIXI, and hence its place in routine clinical practice, are not clear. This study was intended to gain insight into the relationships between these peripheral and the established axial bone density assessments in patients undergoing routine bone mineral assessment, and how these might guide the clinical use of such peripheral measurements. The practical issues of which heel should be scanned, and how results should be classified, were also considered.
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Methods
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Bone mineral status was assessed routinely using bone densitometry of the hip and lumbar spine with a Lunar Expert-XL dual X-ray bone densitometer (Lunar Corporation, Madison, WI). The sites assessed were L1, L2, L3 and L4 in the spine, and the femoral neck, trochanter and femoral shaft in the left hip. World Health Organization criteria [3] were used to categorize the scans as follows: a T-score of -2.5 or lower indicated osteoporosis; between -2.5 and -1, osteopenia; and greater than -1, normal bone density. Classification of osteoporosis depends upon the site used for measurement [4], so to reflect the approaches among clinical users to the diagnosis of osteoporosis from axial bone densitometry, and current recommendations [5], three ways of using T-scores to assign the subjects to diagnostic classes were considered. These were: (a) the minimum axial score from any region analysed; (b) the minimum of the scores from either the "total hip" (a region including the femoral neck, shaft and trochanter regions, also described as "total femur" [6] ) or the "L24" regions; and (c) the "total hip" score only. The reliability of the hip and spine bone density values obtained with the particular equipment used in this study, in comparison with its calibration by the manufacturer, had been assessed previously (shortly after installation) by scanning 30 male and 30 female healthy young adults. That study demonstrated correspondence between the mean and standard deviations of bone mineral density measured locally, the reference ranges provided by the manufacturer, and available published data [7] for the same manufacturer's equipment.
PIXI uses a cone X-ray beam with dual energies (55 kVp and 80 kVp) with a scintillation screen and optically coupled charge-coupled device sensor and software for automated analysis of a circular region in the calcaneus. The reference ranges supplied by the manufacturer were used by the machine to provide T-scores. The threshold T-score values used for diagnosis of osteoporosis from axial measurements were considered to be inappropriate for use with peripheral measurements [8], so the possibility was pursued of categorizing the results as indicating low (for values of T>-1), moderate (T
le;-1, >-1.6), and high (T
le;-1.6) fracture risk, in accordance with advice for Lunar equipment supplied by AuRa Scientific (Milton Ernest, UK). The potential for correspondence between these three categories, and the three used with axial densitometry, was also examined.
The study subjects were all patients who had been referred by general practitioners or hospital doctors for bone densitometry of hip and spine. Referral for investigation was based on the UK Department of Health's guidelines [9] and required the presence of at least one risk factor for osteoporosis. There was no other restriction on access to the service by all hospital doctors and general practitioners in the area served. After having the standard hip and spine scans, patients were invited to participate in the study. They were given both written and verbal explanations of the procedure, and written consent was obtained from those willing to participate. 100 subjects (6 male, 94 female; mean age 59.7 years, SD 10.8, range 4183) then had bone densitometry of both heels carried out using the PIXI. All scans were analysed in accordance with the equipment manufacturer's procedures, using semi-automated routines. This study was approved by the Sunderland Local Research Ethics Committee.
Statistical methods
The use of bone mineral density values obtained for each heel as measures of the same quantity was examined using a BlandAltman plot [8] of the differences between the heel measurements against their mean. Relationships between T-scores from the two densitometers were examined by linear regression. The kappa index was used to examine agreement between the classifications derived from them. To construct receiver operating characteristic (ROC) curves, the heel T-scores were input as a continuous variable into software that calculated maximum likelihood estimates [9] of statistical parameters of the ROC curves (ROCKIT 0.9B; C.E.Metz, University of Chicago, Chicago, IL). The "true" condition for each subject was the diagnostic classification from their axial densitometry score. The statistical test used to examine differences between the ROC curves for each heel was a z-score test of the areas under the curves.
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Results
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The distribution of patients between the diagnostic categories was broadly similar to the pattern of the larger number of patients referred for bone densitometry at this hospital in a complete year, indicating that the subjects of the study were representative of patients routinely referred for bone densitometry.
The relationship between the bone mineral density (BMD) values obtained for each heel was examined using a BlandAltman plot [10] of the differences between the heel measurements against their mean (Figure 1
). The plot shows that differences were independent of the mean value. The overall mean BMD was 0.46 g cm-2, the mean of the signed differences was 0.01 g cm-2 (SD 0.05), and that of the unsigned differences was 0.03 g cm-2 (SD 0.04). With the exception of relatively large negative values in a few subjects, indicating that these had higher bone density in their left heel compared with the right, it could be concluded that there was no systematic difference between right and left sides. ROC analysis (see below) also supported this finding.

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Figure 1. BlandAltman plot of the differences between bone mineral density measurements at each heel, against their mean. The solid regression line (y=0.015 x -0.015) has no significant slope (95% confidence limits 0.1, -0.07) and is close to the line of zero difference (broken line), indicating that there is no systematic difference between measurements, whatever the bone mineral density (BMD) value. , female; , male.
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Each of the three methods for using axial densitometry T-scores placed a different proportion of subjects in each diagnostic class (Table 1
). Comparing heel scores with these axial scores, there was a closer relationship between the heel and the total hip T-scores (Figure 2a
) than with the minimum axial T-score (Figure 2b
). Results are shown for the left heel only, but those for the right heel and for the minimum score for either heel were similar.

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Figure 2. The relationships between (a) left heel and total hip T-scores, (regression line y=0.18+0.73x, r=0.75), and (b) left heel and the minimum axial T-scores (regression line y=0.73+0.62x, r=0.66). , female; , male.
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ROC curves were plotted to examine how well heel T-scores indicated diagnosis as given by axial densitometry, and as determined by each of the three methods described above. Similar curves were obtained for each heel (Figure 3
), and also when the minimum T-score from either heel was used. For a diagnosis of osteoporosis (by axial T-score of -2.5 or less), the area under the ROC curve (Table 2
) was larger, although we cannot show statistical significance, when diagnosis was based on total hip score (method (c)) than when all regions were used (method (a)). This suggests better agreement between heel and hip measurements than between heel and all regions, as also indicated by their closer correlation (Figure 2
). For a diagnosis of "osteoporosis or osteopenia" (by axial T-score of -1 or less), the areas under the ROC curves were generally smaller, suggesting a worse ability to discriminate between these categories.

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Figure 3. Receiver operating characteristic curves for the T-scores for each heel, comparing their performance for diagnosis of osteoporosis at the hip. The points plotted (, left heel; , right heel) are categorized operating points from the original continuous data. The areas under the fitted curves for each heel (left 0.89, right 0.88) were not significantly different (p=0.6).
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Table 2. Areas under receiver operating characteristic curves for heel T-scores, according to diagnosis by axial densitometry
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The ROC curves could also provide a means for determining threshold values for the heel T-scores, since the T-score corresponding to a specified false positive fraction (FPF) can be read off from fitted ROC data. The choice of this operating point is inevitably arbitrary, but a FPF of 0.1, corresponding to a specificity of 90%, was considered suitable, and has been used by others [12]. This point gave similar discriminant values for T for all three diagnostic approaches, with a mean value of -1.6 (range -1.5 to -1.8) for osteoporosis, and -1.1 (range -1.0 to -1.3) for osteopenia. Since these were quite similar to, and therefore supported, the advised threshold values of -1.6 and -1.0, we used the latter subsequently.
Using these advised threshold values, the T-scores for the left heel placed 20 subjects in the high, 18 in the moderate and 62 in the low risk category. For the right heel the corresponding numbers were 24, 20 and 56. The right and left heel scores classified 82 of the subjects into the same fracture risk categories. The weighted kappa index was 0.80, indicating very substantial but not perfect agreement between classifications based on left and right heel measurements.
The potential for clinical use of the fracture risk categories produced from the heel measurements was assessed by comparing the results for each risk category with the "true" diagnosis obtained from axial measurements (the reference method). For this purpose the associations between the high risk category and osteoporosis, moderate risk and osteopenia, and low risk and normal bone density, were examined (Table 3
). Comparisons were made separately for each heel, and with each approach to the diagnosis of osteoporosis. Result categories were then reduced to two, i.e. denoting condition present or absent, as follows. The sensitivity and specificity were calculated first for identification of "high risk" with osteoporosis, and then for "high or moderate risk" with osteopenia or osteoporosis (Table 3
). Generally, specificity was relatively high but sensitivity was relatively low.
The agreement between assignment of each subject to the three risk categories using each diagnostic approach was assessed using the weighted kappa index, and ranged from poor for the minimum axial score to moderate for the hip (Table 4
). Results were similar for each heel.
We also considered the extent to which the single threshold T-score used for classifying osteoporosis was applicable across the whole age range of our study. Linear regression analysis showed a small decrease in BMD with increasing age of 0.8% year-1, only slightly greater than the rate in healthy females over age 50 years of 0.6% year-1, for both hip and heel, according to manufacturer's data for the equipment used. However, it is not this aspect but the relationship between heel and hip measurements that is important in our analysis. We therefore divided the patients into (a) those aged under 60 years, (b) those aged 60 years or over but under 70 years, and (c) those aged 70 years or over. The regression lines of the left heel T-scores against total hip T-score for each of these sub-groups were then used to calculate the T-value for the heel corresponding to a T-score of -2.5 at the hip. The resulting values for the threshold T-score for the heel equivalent to that used for diagnosis of osteoporosis were (a) -1.6, (b) -1.6, (c) -1.8. Thus only in the oldest age group was there any evidence of a change in the relationship between heel and hip T-scores at this critical point and we concluded that a threshold value applicable to all our subjects would lie within the range T=-1.6 to -1.8. Applying a threshold of T=-1.8 to the whole data set of heel T-scores gave a sensitivity of 57% and specificity of 92% for diagnosis of osteoporosis (based on total hip as the reference standard) compared with sensitivity 71% and specificity 89% using T=-1.6. The impact of these different values is considered in the discussion.
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Discussion
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The relationship we found between heel and axial T-scores was better for the hip alone compared with combined hip and spine sites, but the agreement between disease and risk classifications derived from these measurements was only moderate. This is in accordance with the accepted view that whilst bone density measurements at different anatomical sites all show associations with fracture risk [2], the relationship between measurements made at different sites is not sufficiently close as to enable a measurement at one site to be used reliably to predict or replace that at another.
For our whole group data, the means of measurements on either heel were not significantly different. However, for some individuals there were relatively large differences in BMD; the mean difference was 6.5% (SD 8.7%). These differences are similar to those reported from bilateral ultrasound measurements [13]. It is therefore questionable whether heel measurements should be used interchangeably as predictors of fracture risks for individuals; in only 82% of our subjects was there agreement on the resulting diagnostic category. It may therefore be prudent to measure both heels. This contrasts with hip bone density, where side-to-side differences are generally smaller, although not negligible [14].
The proportion of people diagnosed as having osteoporosis will depend upon the assessment methods used and the population studied [15]. An alternative method for determining the threshold T-score for heel BMD using similar equipment [16] gave a value of -1.3 and, for a study population similar to ours, higher sensitivity, lower specificity and lower false negative rate, as might be expected. A study of heel BMD using single X-ray absorptiometry [17] using a threshold T-value of -1.2 and a similarly aged population gave still higher sensitivity and lower specificity. Thus there is no optimum threshold level, but a choice can be made of the desired sensitivity or specificity of the test, based upon the relative values assigned to them.
The prime clinical use of bone densitometry is as an aid to making therapeutic decisions [9, 18, 19]. A possible use of heel bone densitometry in this context is as a more readily accessible first-line investigation, instead of hip and spine scans. We can assess its potential role by applying our figures (from Table 3
, means of values for both heels) for sensitivity (71%) and specificity (87%) for diagnosis of osteoporosis, using total hip measurements as the standard, to three groups with differing prior likelihood of disease. These examples are intended to provide an illustration of the changes in predictive value of scans with changing disease prevalence. The additional effects of the different sensitivity and specificity values corresponding to a threshold T-score of -1.8 rather than -1.6 on the following analyses are given in parentheses. While there are consequential small changes in the numbers of false negative and false positive cases, we consider that the conclusions described below are not changed by the use of a slightly different threshold value.
First, we considered a population with a low prevalence of osteoporosis, such as peri-menopausal women without additional risk factors. Such women would not have bone densitometry performed under existing guidelines in the UK, but might be screened if USA guidance were being used [20]. Taking a prevalence of 4% [15] as an estimate for this group, out of 100 women investigated, 15 (10) would be judged osteoporotic on heel measurements, but since we expect 12 (8) to be falsely positive, it would be reasonable to proceed to axial densitometry for all of these in order to provide convincing evidence for prophylactic treatment and lifestyle alteration, and a basis for any subsequent monitoring. There would be only one (two) false negative.
In contrast, an elderly population (women aged over 80 years) would have a much higher prevalence of osteoporosis; Kanis and Gluer [3] quote 47.5%. In such a group, of 100 women scanned we would expect to find 41 (31) in the osteoporosis group, of which 7 (4) would be falsely positive. Since the appropriate treatment in this age group is with calcium and vitamin D, which is relatively inexpensive, it would be reasonable to proceed to this treatment without performing axial densitometry. Of more concern would be the 14 (20) falsely negative results. For this reason this approach seems appropriate only where there is no alternative, for example for the residents of nursing or care homes, or other elderly people who may be unwilling to travel for an investigation.
The third category we considered had an intermediate prevalence of osteoporosis (14%), as for the subjects of our study (Table 1
), was predominantly female and approximately 60 years old. For this group, of 100 people scanned, there would be 21 (15) in the osteoporosis group, of which 10 (8) would be true positives. It would be appropriate to perform axial densitometry on all those assessed as positive, since the appropriate treatment for this age group is likely to include bisphosphonates, a relatively expensive therapy, and where it is likely that subsequent monitoring would be considered desirable. Problems are likely to arise with those assessed as negative: since it is known that they would include four (six) false negatives, it would be inappropriate to provide all with reassurance that they do not have osteoporosis. From the patient's point of view this would not be satisfactory, so some of this group are therefore likely to request axial densitometry, which would negate any economies or advantages obtained by performing the peripheral measurements. This use of hip and spine densitometry as a second line investigation could have the adverse effect that the inevitable discordance between some of the results obtained using the two techniques is likely to reduce confidence in bone densitometry among both patients and clinicians and thus reduce its value for diagnosing and treating osteoporosis. Compliance with treatment is a common medical problem and therefore important for osteoporosis where the treatment is long-term. The addition of controversy into the area of the best available objective assessment in clinical use would be unfortunate.
Thus we may conclude that peripheral densitometry can be useful for assessing fracture risk in populations with either a very low or a very high prevalence of osteoporosis, particularly where they would probably not otherwise have any densitometry performed. For those with an intermediate prevalence, and in particular where treatment with bisphosphonates is likely to be appropriate, axial densitometry is the method of choice.
Peripheral measurements are not suitable for monitoring treatment, either because they have been shown not to reflect response at other sites, as with the forearm [21], or because of lack of evidence, as with the heel. Therefore those found to have low bone density would also need axial scans in order to set a baseline for monitoring treatment [9], although there is some controversy about the value of monitoring by repeated bone density measurements [2224]. If monitoring is considered appropriate, such an approach would result in a large proportion of the patients involved ultimately having axial densitometry. Considering another approach to the subject, Baran et al [25] have recommended considering treatment for those with a peripheral T-score less than -2, to perform hip and spine densitometry for T-scores of -2 to 1, and to reassure those with a T-score above 1. For our series, this advice would mean considering treatment in 14 or 16 patients (depending which heel were measured), reassuring 15 or 12 patients, and performing hip and spine scans on the remaining 71 or 72 patients. With this approach the majority of patients could have both peripheral and axial scans.
While peripheral measurements may be better than the use of a clinical assessment alone since risk factors are poorer predictors of bone density [26], it seems prudent not to assume that they can diagnose osteoporosis [27] and to restrict their use to settings where there is no alternative, such as the high and low prevalence groups we have discussed. In an urban population such as ours, where currently the majority of demand is for scans of the intermediate prevalence group, the appropriate provision should be (and this is our aim) access to a hip and spine densitometry service, within a short travel distance and with no restrictions other than the medical decision that standard referral guidelines are met. It should then be possible to avoid the confusion and waste of resources that can be the consequence when the same population is exposed to two different assessment methods that are not interchangeable, for the same purpose.
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Acknowledgments
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We are grateful to Mr M P Bewick and Miss S Totty for their expert technical assistance, to Prof C Metz and Mr A Hildreth for statistical advice and to Mr S T Chandler for helpful comments.
Received for publication October 23, 2001.
Revision received September 9, 2002.
Accepted for publication September 19, 2002.
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