| Literature DB >> 28104610 |
Noa Dagan1,2, Chandra Cohen-Stavi3, Maya Leventer-Roberts3,4, Ran D Balicer3,5.
Abstract
OBJECTIVE: To directly compare the performance and externally validate the three most studied prediction tools for osteoporotic fractures-QFracture, FRAX, and Garvan-using data from electronic health records.Entities:
Mesh:
Year: 2017 PMID: 28104610 PMCID: PMC5244817 DOI: 10.1136/bmj.i6755
Source DB: PubMed Journal: BMJ ISSN: 0959-8138

Fig 1 Population flowchart for comparative and tool specific external validation analyses (FRAX external validation population is same as population used for comparative analysis)
Characteristics of comparative analysis population, by each of the input variables included in QFracture, FRAX, and Garvan
| Input variables* | No (%) in study population | Major osteoporotic fracture† | Hip fracture† | QFracture | FRAX | Garvan |
|---|---|---|---|---|---|---|
| Overall | 1 054 815 (100) | 81 564 (7.7) | 28 091 (2.7) | |||
| Age group (years): | ||||||
| 50-59 | 401 035 (38.0) | 15 324 (3.8) | 1994 (0.5) | V | V | V |
| 60-69 | 299 305 (28.4) | 17 634 (5.9) | 3689 (1.2) | |||
| 70-79 | 222 475 (21.1) | 25 871 (11.6) | 9465 (4.3) | |||
| 80-89 | 132 000 (12.5) | 22 735 (17.2) | 12 943 (9.8) | |||
| Sex: | ||||||
| Men | 478 825 (45.4) | 23 268 (4.9) | 8996 (1.9) | V | V | V |
| Women | 575 990 (54.6) | 58 296 (10.1) | 19 095 (3.3) | |||
| Ethnicity: | ||||||
| Black African | 12 813 (1.2) | 540 (4.2) | 135 (1.1) | V | – | – |
| White | 1 042 002 (98.8) | 81 024 (7.8) | 27 956 (2.7) | |||
| Nursing home residency: | ||||||
| No | 1 041 516 (98.7) | 80 155 (7.7) | 27 191 (2.6) | V | – | – |
| Yes | 13 299 (1.3) | 1409 (10.6) | 900 (6.8) | |||
| Body mass index category: | ||||||
| Obese | 309 128 (29.3) | 24 417 (7.9) | 6833 (2.2) | V | V | V‡ |
| Overweight | 405 416 (38.4) | 30 296 (7.5) | 10 101 (2.5) | |||
| Normal | 276 206 (26.2) | 23 190 (8.4) | 9467 (3.4) | |||
| Underweight | 9216 (0.9) | 1113 (12.1) | 601 (6.5) | |||
| Missing | 54 849 (5.2) | 2548 (4.6) | 1089 (2.0) | |||
| Smoking category: | ||||||
| Non-smoker | 681 698 (64.6) | 57 859 (8.5) | 20 033 (2.9) | V | V | – |
| Former smoker | 163 185 (15.5) | 11 427 (7.0) | 3901 (2.4) | |||
| Current smoker | 175 011 (16.6) | 10 171 (5.8) | 3130 (1.8) | |||
| Missing | 34 921 (3.3) | 2107 (6.0) | 1027 (2.9) | |||
| Alcoholism: | ||||||
| No | 1 043 558 (98.9) | 80 487 (7.7) | 27 623 (2.6) | V | V | – |
| Yes | 11 257 (1.1) | 1077 (9.6) | 468 (4.2) | |||
| Parental hip fracture: | ||||||
| No | 1 036 081 (98.2) | 80 698 (7.8) | 27 949 (2.7) | V | V | – |
| Yes | 18 734 (1.8) | 866 (4.6) | 142 (0.8) | |||
| Parental osteoporotic fracture: | ||||||
| No | 990 039 (93.9) | 79 026 (8.0) | 27 776 (2.8) | V | – | – |
| Yes | 64 776 (6.1) | 2538 (3.9) | 315 (0.5) | |||
| Major osteoporotic fracture: | ||||||
| No | 984 128 (93.3) | 60 562 (6.2) | 19 208 (2.0) | V | V | – |
| Yes | 70 687 (6.7) | 21 002 (29.7) | 8883 (12.6) | |||
| No of fractures after age 50 years: | ||||||
| 0 | 898 475 (85.2) | 50 897 (5.7) | 15 932 (1.8) | – | – | V |
| 1 | 119 329 (11.3) | 19 766 (16.6) | 7408 (6.2) | |||
| 2 | 27 171 (2.6) | 7307 (26.9) | 3111 (11.4) | |||
| ≥3 | 9840 (0.9) | 3594 (36.5) | 1640 (16.7) | |||
| History of a fall: | ||||||
| No | 990 681 (93.9) | 68 371 (6.9) | 21 406 (2.2) | V | – | – |
| Yes | 64 134 (6.1) | 13 193 (20.6) | 6685 (10.4) | |||
| No of falls in past year: | ||||||
| 0 | 1 031 443 (97.8) | 76 082 (7.4) | 25 320 (2.5) | – | – | V |
| 1 | 9746 (0.9) | 2292 (23.5) | 1214 (12.5) | |||
| 2 | 9986 (0.9) | 2272 (22.8) | 1106 (11.1) | |||
| ≥3 | 3640 (0.3) | 918 (25.2) | 451 (12.4) | |||
| Secondary osteoporosis§: | ||||||
| No | 984 123 (93.3) | 74 259 (7.5) | 25 408 (2.6) | – | V | – |
| Yes | 70 692 (6.7) | 7305 (10.3) | 2683 (3.8) | |||
| Dementia: | ||||||
| No | 1 030 739 (97.7) | 78 019 (7.6) | 25 885 (2.5) | V | – | – |
| Yes | 24 076 (2.3) | 3545 (14.7) | 2206 (9.2) | |||
| Parkinson’s disease: | ||||||
| No | 1 032 213 (97.9) | 78 322 (7.6) | 26 305 (2.5) | V | – | – |
| Yes | 22 602 (2.1) | 3242 (14.3) | 1786 (7.9) | |||
| Epilepsy: | ||||||
| No | 996 622 (94.5) | 74 672 (7.5) | 25 450 (2.6) | V | – | – |
| Yes | 58 193 (5.5) | 6892 (11.8) | 2641 (4.5) | |||
| Type 1 diabetes: | ||||||
| No | 1 053 791 (99.9) | 81 448 (7.7) | 28 046 (2.7) | V | – | – |
| Yes | 1024 (0.1) | 116 (11.3) | 45 (4.4) | |||
| Type 2 diabetes: | ||||||
| No | 765 591 (72.6) | 54 814 (7.2) | 17 451 (2.3) | V | – | – |
| Yes | 289 224 (27.4) | 26 750 (9.2) | 10 640 (3.7) | |||
| Other endocrine disorders: | ||||||
| No | 1 005 799 (95.4) | 76 155 (7.6) | 26 060 (2.6) | V | – | – |
| Yes | 49 016 (4.6) | 5409 (11.0) | 2031 (4.1) | |||
| Cancer history: | ||||||
| No | 913 510 (86.6) | 66 605 (7.3) | 22 106 (2.4) | V | – | – |
| Yes | 141 305 (13.4) | 14 959 (10.6) | 5985 (4.2) | |||
| Obstructive airways disease: | ||||||
| No | 893 999 (84.8) | 65 236 (7.3) | 22 149 (2.5) | V | – | – |
| Yes | 160 816 (15.2) | 16 328 (10.2) | 5942 (3.7) | |||
| Cardiovascular disease: | ||||||
| No | 756 649 (71.7) | 50 090 (6.6) | 14 494 (1.9) | V | – | – |
| Yes | 298 166 (28.3) | 31 474 (10.6) | 13 597 (4.6) | |||
| Malabsorption: | ||||||
| No | 1 042 869 (98.9) | 80 355 (7.7) | 27 671 (2.7) | V | – | – |
| Yes | 11 946 (1.1) | 1209 (10.1) | 420 (3.5) | |||
| Chronic liver disease: | ||||||
| No | 1 033 492 (98.0) | 79 269 (7.7) | 27 250 (2.6) | V | – | – |
| Yes | 21 323 (2.0) | 2295 (10.8) | 841 (3.9) | |||
| Chronic renal disease: | ||||||
| No | 971 965 (92.1) | 72 096 (7.4) | 23 396 (2.4) | V | – | – |
| Yes | 82 850 (7.9) | 9468 (11.4) | 4695 (5.7) | |||
| Rheumatoid arthritis: | ||||||
| No | 1 028 482 (97.5) | 78 045 (7.6) | 26 828 (2.6) | V | V | – |
| Yes | 26 333 (2.5) | 3519 (13.4) | 1263 (4.8) | |||
| Systemic lupus erythematosus: | ||||||
| No | 1 052 835 (99.8) | 81 296 (7.7) | 28 003 (2.7) | V | – | – |
| Yes | 1980 (0.2) | 268 (13.5) | 88 (4.4) | |||
| Drug purchases¶: | ||||||
| Glucocorticoids: | ||||||
| No | 1 027 475 (97.4) | 77 593 (7.6) | 26 745 (2.6) | V | V | – |
| Yes | 27 340 (2.6) | 3971 (14.5) | 1346 (4.9) | |||
| Antidepressants: | ||||||
| No | 951 080 (90.2) | 67 760 (7.1) | 22 351 (2.4) | V | – | – |
| Yes | 103 735 (9.8) | 13 804 (13.3) | 5740 (5.5) | |||
| Hormone replacement therapy: | ||||||
| Yes | 8663 (0.8) | 416 (4.8) | 70 (0.8) | V | – | – |
| No | 1 046 152 (99.2) | 81 148 (7.8) | 28 021 (2.7) |
V=variables used as input information for specified tool.
*Values within each input variable are sorted by predicted fracture rate—ie, variable’s value that has lowest predicted risk (as defended by prediction tools) appears first.
†Fracture rate during follow-up period (2010-14), within population of each subgroup.
‡Garvan uses a weight instead of body mass index.
§Defined by any of following: type 1 diabetes, osteogenesis imperfecta, hyperthyroidism, hypogonadism, premature menopause, malabsorption, and chronic liver disease.
¶Numbers were calculated using QFracture’s definition of drug purchase—at least two purchase records in six months before index date. In the case of glucocorticoid use, which is also used by FRAX, the calculation is based on a history of at least 90 days of use (extracted by number of days covered by past purchase records) and resultant numbers, which were similar to those of the QFracture variable, are not presented.
Comparison of discriminatory measures between QFracture, FRAX, and Garvan of top 10% and 20% high risk score cut-offs by each tool. Values are percentages unless stated otherwise
| Discriminatory measures* | Denominator | QFracture | FRAX | Garvan | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Top 10% risk | Top 20% risk | Measure for top 10% risk | Measure for top 20% risk | Measure for top 10% risk | Measure for top 20% risk | Measure for top 10% risk | Measure for top 20% risk | ||||
| Hip fractures: | |||||||||||
| AUC | NA | NA | 82.7 | 81.5 | 77.8 | ||||||
| Absolute risk cut-off | NA | NA | 4.0 | 1.8 | 4.3 | 2.6 | 2.7 | 1.1 | |||
| Sensitivity | 28 091 | 28 091 | 45.1 (12 679.6) | 68.9 (19 347.8) | 43.6 (12 257.4) | 65.7 (18 469.8) | 36.9 (10 363.9) | 57.1 (16 048.6) | |||
| Specificity | 1 026 724 | 1 026 724 | 91.0 (933 922.6) | 81.3 (835 108.8) | 90.9 (933 500.3) | 81.3 (834 230.8) | 90.7 (931 606.8) | 81.0 (831 809.6) | |||
| PPV | 105 481 | 210 963 | 12.0 (12 679.6) | 9.2 (19 347.8) | 11.6 (12 257.4) | 8.8 (18 469.8) | 9.8 (10 363.9) | 7.6 (16 048.6) | |||
| NPV | 949 334 | 843 852 | 98.4 (933 922.6) | 99.0 (835 108.8) | 98.3 (933 500.3) | 98.9 (834 230.8) | 98.1 (931 606.8) | 98.6 (831 809.6) | |||
| Accuracy | 1 054 815 | 1 054 815 | 89.7 (946 602.2) | 81.0 (854 456.6) | 89.7 (945 757.7) | 80.8 (852 700.5) | 89.3 (941 970.7) | 80.4 (847 858.2) | |||
| Error | 1 054 815 | 1 054 815 | 10.3 (108 212.8) | 19.0 (200 358.4) | 10.3 (109 057.3) | 19.2 (202 114.5) | 10.7 (112 844.3) | 19.6 (206 956.8) | |||
| Major osteoporotic fractures | |||||||||||
| AUC | NA | NA | 71.2 | 71.4 | – | – | |||||
| Absolute risk cut-off | NA | NA | 6.7 | 3.9 | 8.5 | 5.5 | – | – | |||
| Sensitivity | 81 564 | 81 564 | 26.7 (21 777.0) | 46.4 (37 879.9) | 29.0 (23 628.9) | 47.1 (38 446.9) | – | – | |||
| Specificity | 973 251 | 973 251 | 91.4 (889 547.0) | 82.2 (800 167.8) | 91.6 (891 398.9) | 82.3 (800 734.9) | – | – | |||
| PPV | 105 481 | 210 963 | 20.7 (21 777.0) | 18.0 (37 879.9) | 22.4 (23 628.9) | 18.2 (38 446.9) | – | – | |||
| NPV | 949 334 | 843 852 | 93.7 (889 547.0) | 94.8 (800 167.8) | 93.9 (891 398.9) | 94.9 (800 734.9) | – | – | |||
| Accuracy | 1 054 815 | 1 054 815 | 86.4 (911 324.0) | 79.4 (838 047.7) | 86.7 (915 027.8) | 79.6 (839 181.8) | – | – | |||
| Error | 1 054 815 | 1 054 815 | 13.6 (143 491.0) | 20.6 (216 767.3) | 13.3 (139 787.2) | 20.4 (215 633.2) | – | – | |||
NA=not applicable; AUC=area under receiver operating characteristic curve (C statistic); PPV=positive predictive value; NPV=negative predictive value.
Analyses comparing performance for predicting major osteoporotic fractures were conducted only between QFracture and FRAX because Garvan’s definition for major osteoporotic fractures is much broader than either tool.
Numbers in parentheses are numerators for measure; numbers contain a decimal component because they are averaged between imputed datasets.
*Assessed with five years of follow-up.

Fig 2 Receiver operating curves of QFracture, FRAX, and Garvan predictive tools for hip and major osteoporotic fractures during five years of follow-up in comparative and tool specific external validation analyses
Reclassification analysis* for QFracture compared with FRAX
| Hip fractures | Major osteoporotic fractures | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| QFracture | FRAX | Reclassification measures | QFracture | FRAX | Reclassification measure | |||||
| 1 054 815 (total population) | Low risk†, 949 332 (90% of population) | High risk†, 105 483 (10% of population) | 1 054 815 (total population) | Low risk†, 949 332 (90% of population) | High risk†, 105 483 (10% of population) | |||||
| Low risk†, 949 332 (90% of population) | 898 268‡ (I) (correctly classified by both models) | 35 654‡ (II) (correctly reclassified) | NRI-ne (SE) | 0.04% (0.03%) | Low risk†, 949 332 (90% of population) | 856 412‡ (I) (correctly classified by both models) | 33 123‡ (II) (correctly reclassified) | NRI-ne (SE) | −0.19% (0.03%) | |
| 12 759§ (III) (misclassified by both models) | 2651§ (IV) (incorrectly reclassified) | NRI-e (SE) | 1.50% (0.27%) | 51 863§ (III) (misclassified by both models) | 7934§ (IV) (incorrectly reclassified) | NRI-e (SE) | −2.31% (0.14%) | |||
| High risk†, 105 483 (10% of population) | 3072§ (V). (correctly reclassified) | 9609§ (VI) (correctly classified by both models); | NRI (SE) | 1.54% (0.27%) | High risk†, 105 483 (10% of population) | 6051§ (V) (correctly reclassified) | 15 716§ (VI) (correctly classified by both models) | NRI (SE) | −2.50% (0.15%) | |
| 35 233‡ (VII) (incorrectly reclassified) | 57 569‡ (VIII) (misclassified by both models) | WNRI (SE) | 0.08% (0.05%) | 35 006‡ (VII) (incorrectly reclassified) | 48 710‡ (VIII) (misclassified by both models) | WNRI (SE) | −0.36% (0.05%) | |||
NRI=net reclassification index; NRI-e=net reclassification for events; NRI-ne=net reclassification for non-events; WNRI=weighted net reclassification index; SE=standard error.
NRI calculated as NRI-e+NRI-ne.
NRI-ne calculated as (V−IV)/(III+IV+V+VI.
NRI-e calculated as (II−VI)/(I+II+VII+VIII).
WNRI calculated as NRI-e×((III+IV+V+VI)/IX)+NRI-ne×((I+II+VII+VIII)/IX).
*Calculated with five years of follow-up.
†High risk group defined by each model as study participants who received a risk score in top 10% of risk, and the low risk as the 90% who did not.
‡Non-events.
§Events (people who sustained a fracture).
Calibration* of observed versus predicted hip fracture rates, by sex and age groups
| Age range | Women | Men | |||||||
|---|---|---|---|---|---|---|---|---|---|
| No of people | Hip fracture rate (%) (No with first hip fracture) | Mean (SD) predicted probability (%) | Observed to predicted ratio | No of people | Hip fracture rate (%) (No with first hip fracture) | Mean (SD) predicted probability (%) | Observed to predicted ratio | ||
| QFracture: | |||||||||
| 50-54 | 103 964 | 0.4 (389) | 0.1 (0.002) | 3.7 | 93 755 | 0.4 (415) | 0.1 (0.007) | 3.5 | |
| 55-59 | 106 372 | 0.6 (657) | 0.2 (0.004) | 3.0 | 96 944 | 0.5 (533) | 0.2 (0.005) | 3.2 | |
| 60-64 | 93 166 | 1.0 (954) | 0.4 (0.004) | 2.4 | 84 365 | 0.8 (689) | 0.3 (0.007) | 2.9 | |
| 65-69 | 65 419 | 2.0 (1284) | 0.9 (0.012) | 2.2 | 56 355 | 1.4 (762) | 0.6 (0.015) | 2.4 | |
| 70-74 | 67 229 | 3.7 (2520) | 1.9 (0.023) | 2.0 | 53 706 | 2.3 (1250) | 1.2 (0.026) | 2.0 | |
| 75-79 | 58 911 | 6.8 (4025) | 3.9 (0.050) | 1.7 | 42 629 | 3.9 (1670) | 2.6 (0.052) | 1.5 | |
| 80-84 | 49 633 | 10.6 (5241) | 7.5 (0.087) | 1.4 | 31 830 | 6.4 (2044) | 5.3 (0.088) | 1.2 | |
| 85-89 | 31 296 | 12.9 (4025) | 11.9 (0.122) | 1.1 | 19 241 | 8.5 (1633) | 9.6 (0.133) | 0.9 | |
| FRAX: | |||||||||
| 50-54 | 103 964 | 0.4 (389) | 0.2 (0.002) | 1.8 | 93 755 | 0.4 (415) | 0.1 (0.001) | 3.0 | |
| 55-59 | 106 372 | 0.6 (657) | 0.4 (0.003) | 1.7 | 96 944 | 0.5 (533) | 0.3 (0.002) | 2.2 | |
| 60-64 | 93 166 | 1.0 (954) | 0.7 (0.005) | 1.6 | 84 365 | 0.8 (689) | 0.4 (0.003) | 1.9 | |
| 65-69 | 65 419 | 2.0 (1284) | 1.2 (0.010) | 1.6 | 56 355 | 1.4 (762) | 0.8 (0.006) | 1.7 | |
| 70-74 | 67 229 | 3.7 (2520) | 2.4 (0.019) | 1.6 | 53 706 | 2.3 (1250) | 1.5 (0.011) | 1.6 | |
| 75-79 | 58 911 | 6.8 (4025) | 4.3 (0.030) | 1.6 | 42 629 | 3.9 (1670) | 2.5 (0.017) | 1.6 | |
| 80-84 | 49 633 | 10.6 (5241) | 6.0 (0.036) | 1.8 | 31 830 | 6.4 (2044) | 3.4 (0.019) | 1.9 | |
| 85-89 | 31 296 | 12.9 (4025) | 6.8 (0.037) | 1.9 | 19 241 | 8.5 (1633) | 3.8 (0.020) | 2.3 | |
| Garvan: | |||||||||
| 50-54 | 103 964 | 0.4 (389) | 0.1 (0.001) | 6.9 | 93 755 | 0.4 (415) | 0.1 (0.001) | 5.2 | |
| 55-59 | 106 372 | 0.6 (657) | 0.1 (0.002) | 5.6 | 96 944 | 0.5 (533) | 0.2 (0.002) | 2.9 | |
| 60-64 | 93 166 | 1.0 (954) | 0.2 (0.004) | 5.2 | 84 365 | 0.8 (689) | 0.4 (0.004) | 2.1 | |
| 65-69 | 65 419 | 2.0 (1284) | 0.4 (0.009) | 5.6 | 56 355 | 1.4 (762) | 0.8 (0.008) | 1.6 | |
| 70-74 | 67 229 | 3.7 (2520) | 0.6 (0.016) | 5.8 | 53 706 | 2.3 (1250) | 1.6 (0.016) | 1.4 | |
| 75-79 | 58 911 | 6.8 (4025) | 1.3 (0.033) | 5.2 | 42 629 | 3.9 (1670) | 3.5 (0.033) | 1.1 | |
| 80-84 | 49 633 | 10.6 (5241) | 2.6 (0.057) | 4.1 | 31 830 | 6.4 (2044) | 7.1 (0.065) | 0.9 | |
| 85-89 | 31 296 | 12.9 (4025) | 4.7 (0.093) | 2.7 | 19 241 | 8.5 (1633) | 13.9 (0.109) | 0.6 | |
*Assessed with five years of follow-up.
Calibration* of observed versus predicted hip fracture rates, by sex and 10ths of risk groups
| Risk 10th | Women | Men | |||||||
|---|---|---|---|---|---|---|---|---|---|
| No of people | Hip fracture rate %) (No with first hip fracture†) | Mean (SD) predicted probability (%) | Observed to predicted ratio | No of people | Hip fracture rate (%) (No with first hip fracture†) | Mean (SD) predicted probability (%) | Observed to predicted ratio | ||
| QFracture: | |||||||||
| 1 | 57 599 | 0.2 (109.8) | 0.1 (0.0002) | 3.3 | 47 882 | 0.2 (108.4) | 0.0 (0.0001) | 5.6 | |
| 2 | 57 599 | 0.4 (207.2) | 0.1 (0.0001) | 3.5 | 47 883 | 0.3 (130.5) | 0.1 (0.0001) | 4.0 | |
| 3 | 57 599 | 0.4 (237.6) | 0.2 (0.0002) | 2.7 | 47 883 | 0.4 (176.0) | 0.1 (0.0001) | 3.7 | |
| 4 | 57 599 | 0.6 (364.8) | 0.2 (0.0003) | 2.7 | 47 882 | 0.4 (195.0) | 0.1 (0.0001) | 2.9 | |
| 5 | 57 599 | 0.9 (495.1) | 0.4 (0.0005) | 2.4 | 47 882 | 0.5 (258.8) | 0.2 (0.0002) | 2.8 | |
| 6 | 57 599 | 1.5 (860.0) | 0.6 (0.0009) | 2.5 | 47 883 | 0.9 (421.9) | 0.3 (0.0003) | 3.1 | |
| 7 | 57 599 | 2.5 (1450.9) | 1.0 (0.0017) | 2.5 | 47 883 | 1.3 (629.3) | 0.4 (0.0006) | 2.9 | |
| 8 | 57 599 | 4.5 (2618.4) | 1.8 (0.0032) | 2.5 | 47 882 | 2.1 (1022.8) | 0.8 (0.0014) | 2.7 | |
| 9 | 57 599 | 8.2 (4751.2) | 3.6 (0.0077) | 2.3 | 47 882 | 4.0 (1937.7) | 1.6 (0.0040) | 2.5 | |
| 10 | 57 599 | 13.9 (8000.2) | 13.4 (0.1132) | 1.0 | 47 883 | 8.6 (4115.8) | 9.2 (0.1166) | 0.9 | |
| FRAX: | |||||||||
| 1 | 57 599 | 0.3 (150.9) | 0.1 (0.0003) | 2.7 | 47 882 | 0.3 (132.6) | 0.1 (0.0002) | 4.1 | |
| 2 | 57 599 | 0.4 (239.0) | 0.2 (0.0002) | 2.3 | 47 883 | 0.4 (168.0) | 0.1 (0.0002) | 2.8 | |
| 3 | 57 599 | 0.5 (306.0) | 0.3 (0.0004) | 2.0 | 47 883 | 0.4 (183.0) | 0.2 (0.0002) | 2.1 | |
| 4 | 57 599 | 0.6 (358.6) | 0.4 (0.0003) | 1.6 | 47 882 | 0.5 (243.5) | 0.2 (0.0002) | 2.1 | |
| 5 | 57 599 | 1.1 (657.1) | 0.6 (0.0010) | 1.8 | 47 882 | 0.7 (330.4) | 0.3 (0.0005) | 2.0 | |
| 6 | 57 599 | 1.7 (956.2) | 0.9 (0.0017) | 1.8 | 47 883 | 0.9 (444.6) | 0.5 (0.0006) | 1.9 | |
| 7 | 57 599 | 2.6 (1502.0) | 1.5 (0.0024) | 1.7 | 47 883 | 1.5 (698.5) | 0.8 (0.0009) | 1.8 | |
| 8 | 57 599 | 4.3 (2494.5) | 2.6 (0.0032) | 1.7 | 47 882 | 2.3 (1120.3) | 1.3 (0.0024) | 1.8 | |
| 9 | 57 599 | 7.9 (4533.5) | 4.2 (0.0053) | 1.9 | 47 882 | 3.8 (1838.0) | 2.2 (0.0036) | 1.8 | |
| 10 | 57 599 | 13.7 (7897.4) | 8.8 (0.0354) | 1.6 | 47 883 | 8.0 (3837.3) | 4.4 (0.0202) | 1.8 | |
| Garvan: | |||||||||
| 1 | 57 599 | 0.4 (239.4) | 0.0 (0.0001) | 21.2 | 47 882 | 0.3 (145.8) | 0.1 (0.0001) | 4.7 | |
| 2 | 57 599 | 0.5 (262.8) | 0.0 (0.0001) | 11.3 | 47 883 | 0.4 (170.7) | 0.1 (0.0001) | 3.8 | |
| 3 | 57 599 | 0.6 (329.6) | 0.1 (0.0001) | 9.5 | 47 883 | 0.4 (206.2) | 0.1 (0.0001) | 3.1 | |
| 4 | 57 599 | 0.8 (469.7) | 0.1 (0.0001) | 9.8 | 47 882 | 0.5 (251.0) | 0.2 (0.0002) | 2.6 | |
| 5 | 57 599 | 1.0 (591.4) | 0.1 (0.0001) | 8.8 | 47 882 | 0.7 (320.6) | 0.3 (0.0003) | 2.3 | |
| 6 | 57 599 | 1.6 (943.5) | 0.2 (0.0002) | 9.6 | 47 883 | 0.9 (408.4) | 0.5 (0.0007) | 1.9 | |
| 7 | 57 599 | 2.4 (1404.4) | 0.3 (0.0004) | 9.3 | 47 883 | 1.4 (673.9) | 0.8 (0.0014) | 1.8 | |
| 8 | 57 599 | 4.2 (2427.9) | 0.4 (0.0007) | 9.6 | 47 882 | 2.2 (1039.3) | 1.5 (0.0027) | 1.5 | |
| 9 | 57 599 | 7.2 (4173.0) | 0.9 (0.0020) | 8.4 | 47 882 | 3.7 (1762.5) | 3.1 (0.0073) | 1.2 | |
| 10 | 57 599 | 14.3 (8253.6) | 5.9 (0.0868) | 2.4 | 47 883 | 8.4 (4017.8) | 10.8 (0.0921) | 0.8 | |
*Assessed with five years of follow-up.
†Case numbers contain a decimal component because they are averaged between imputed datasets.

Fig 3 Calibration plot of hip fracture predictions for QFracture, FRAX, and Garvan in the comparative analysis: five year observed risk and average predicted probabilities by probability 10ths (each mark represents approximately a 10th of the cohort belonging to the same probability 10th)
Tool specific external validation of original tools: discriminatory measures* of QFracture, FRAX, and Garvan when evaluated in populations of the same age ranges as the original tools. Values in parentheses are nominators/denominators
| Tools | Hip fractures | Major osteoporotic fractures | |||||
|---|---|---|---|---|---|---|---|
| Overall | Men | Women | Overall | Men | Women | ||
| QFracture—30-100 years: | |||||||
| AUC (%) | 88.0 | 85.6 | 88.6 | 75.4 | 68.6 | 77.4 | |
| Sensitivity† (%) | 61.4 (19 471.1/31 709) | 59.9 (6294.8/10 517) | 58.3 (12 362.9/21 192) | 35.7 (35 379.2/99 058) | 31.4 (10 129.5/32 209) | 32.7 (21 849.5/66 849) | |
| Specificity† (%) | 90.9 (1 694 534.1/1 864 704) | 90.6 (794 409.8/876 852) | 91.0 (899310.8/987852) | 91.4 (1 643 093.2/1 797 355) | 90.8 (776 552.4/855 160) | 91.6 (863 140.4/942 195) | |
| FRAX—50-90 years: | |||||||
| AUC (%) | 81.5 | 79.6 | 81.5 | 71.4 | 68.4 | 69.8 | |
| Sensitivity† (%) | 43.6 (12 257.4/28 091) | 42.7 (3836.8/8996) | 41.3 (7894.3/19 095) | 29.0 (23 628.9/81 564) | 28.0 (6521.5/23 268) | 25.3 (14 770.3/58 296) | |
| Specificity† (%) | 90.9 (933 500.3/1 026 724) | 90.6 (425 782.8/469 829) | 91.1 (507 190.2/556 895) | 91.6 (891 398.9/973 251) | 90.9 (414 195.5/455 557) | 91.7 (474 865.3/517 694) | |
| Garvan—60-95 years‡: | |||||||
| AUC (%) | 71.2 | 76.5 | 75.7 | ||||
| Sensitivity† (%) | 28.7 (8013.7/27 897) | 35.6 (3050.1/8571) | 33.1 (6392.3/19 326) | ||||
| Specificity† (%) | 90.8 (583 508.7/642 538) | 90.8 (259 335.0/285 713) | 91.2 (325 602.3/356 825) | ||||
AUC=area under receiver operating characteristic curve (C statistic).
*Assessed with five years of follow-up and calculated for cut-off of top 10% risk for each tool.
†Numerator case numbers contain a decimal component because they are averaged between imputed datasets.
‡Analyses comparing performance for predicting major osteoporotic fractures were only conducted between QFracture and FRAX because Garvan’s definition for major osteoporotic fractures is much broader than those for QFracture and FRAX.