Table 1.
Parameter | Base Value | Probability Distribution | Reference |
---|---|---|---|
Natural history data | |||
Relative risk of wrist fracture for each 1 SD decrease in bone density | 1.4 | Lognormal (1.4, 1.6) | 7 |
Relative increase of hip fracture for 1 each SD decrease in bone density | 2.6 | Lognormal (2, 3.5) | 7 |
Relative increase of vertebral fracture for each 1 SD decrease in bone density | 1.8 | Lognormal (1.1, 2.7) | 7 |
Relative risk of hip fracture given previous fracture | 2 | Lognormal (1.9, 2.2) | 30 |
Relative risk of wrist fracture given previous fracture | 1.9 | Lognormal (1.3, 2.8) | 30 |
Relative risk of spine fracture given previous fracture | 2 | Lognormal (1.6, 2.4) | 30 |
Relative risk of hip fracture given living in LTC | 1.5 | Lognormal (1.3, 1.7) | 31 |
Relative risk of mortality post hip fracture and living in LTC | 3.24 | Lognormal (2.37, 4.43) | 34 |
Relative risk of mortality post vertebral fracture | 1.16 | Lognormal (1.03, 1.3) | 35 |
Relative risk of mortality post hip fracture | 2.87 | Lognormal (2.52, 3.27) | 5 |
Relative risk of mortality given living in LTC | 1.16 | Lognormal (1.1, 1.2) | 17 |
Average peak bone mass | 0.857 | Normal (0.857, 0.022) | 3 |
Bone mass by age | |||
50–59 | 0.759 | Normal (0.759, 0.003) | 3 |
60–69 | 0.695 | Normal (0.695, 0.003) | 3 |
70–79 | 0.661 | Normal (0.661, 0.003) | 3 |
80+ | 0.593 | Normal (0.593, 0.006) | 3 |
Standard deviation for peak bone mass | 0.125 | 3 | |
Standard deviation of bone mass by age | |||
50–59 | 0.119 | 3 | |
60–69 | 0.110 | 3 | |
70–79 | 0.114 | 3 | |
80+ | 0.104 | 3 | |
Annual probability of vertebral fracture | |||
50–59 | 0.0018 | Beta (8.05, 4559.45) | 6 |
60–69 | 0.0015 | Beta (4.01, 2626.34) | 6 |
70–79 | 0.0039 | Beta (74.44, 18813.8) | 6 |
80+ | 0.0076 | Beta (137.16, 17832.5) | 6 |
Annual probability of wrist fracture | |||
50–59 | 0.0031 | Beta (14.08, 4550.05) | 6 |
60–69 | 0.0062 | Beta (16.18, 2613.58) | 6 |
70–79 | 0.0086 | Beta (309, 35802.22) | 6 |
80+ | 0.0076 | Beta (137.16, 17832.5) | 6 |
Annual probability of hip fracture | |||
50–59 | 0.0003 | Beta (2.12, 7215.24) | 6 |
60–69 | 0.0018 | Beta (4.84, 2623.84) | 6 |
70–79 | 0.0024 | Beta (45.71, 18834) | 6 |
80+ | 0.0064 | Beta (115.92, 17861.69) | 6 |
Proportion of women residing in LTC | |||
65–69 | 0.01 | Beta (8,952, 886,248) | 32 |
70–74 | 0.023 | Beta (15,235, 647,165) | 32 |
75–79 | 0.057 | Beta (29,372, 485,928) | 32 |
80–84 | 0.136 | Beta (57,120, 362,880) | 32 |
>85 | 0.334 | Beta (156,446, 311,954) | 32 |
Proportion of women who are osteoporotic | |||
50–59 | 0.060 | Beta (1,196, 1,273) | 3 |
60–69 | 0.183 | Beta (1,505, 1,841) | 3 |
70–79 | 0.269 | Beta (991, 1,356) | 3 |
>80 | 0.413 | Beta (184, 313) | 3 |
Mortality in general population (females) | |||
50–54 | 0.0024 | Beta (1,368,800, 1,372,100) | 33 |
55–59 | 0.0036 | Beta (1,248,734, 1,253,300) | 33 |
60–64 | 0.0057 | Beta (1,061,242, 1,067,300) | 33 |
65–69 | 0.0091 | Beta (887,055, 895,200) | 33 |
70–74 | 0.0150 | Beta (652,462, 662,400) | 33 |
75–79 | 0.0254 | Beta (502,196, 515,300) | 33 |
80–84 | 0.0443 | Beta (401,409, 420,000) | 33 |
85–89 | 0.0789 | Beta (265,173, 287,900) | 33 |
>90 | 0.1772 | Beta (148,523, 180,500) | 33 |
Proportion of vertebral fractures by treatment requirement | |||
Hospitalized | 0.09 | Dirichlet (18, 47, 132) | 6 |
Physician care | 0.24 | 6 | |
No treatment | 0.67 | 6 | |
Proportion of wrist fractures requiring hospitalization | 0.10 | Beta (3,697, 33,341) | 4 |
Treatment effectiveness | |||
Relative reduction in hip fractures | |||
Alendronate | 0.59 | Lognormal (0.29, 0.99) | 26 |
Etidronate | 1.02 | Lognormal (0.12, 3.71) | 26 |
Risedronate | 0.78 | Lognormal (0.44, 1.31) | 26 |
Denosumab | 0.67 | Lognormal (0.24, 1.46) | 26 |
Zoledronate | 0.65 | Lognormal (0.25, 1.33) | 26 |
Relative reduction in wrist fractures | |||
Alendronate | 0.93 | Lognormal (0.31, 2.51) | 26 |
Etidronate | 2.32 | Lognormal (0.26, 8.13) | 26 |
Risedronate | 0.91 | Lognormal (0.13, 3.06) | 26 |
Denosumab | 0.84 | Lognormal (0.64, 1.11) | 26 |
Relative reduction in vertebral fractures | |||
Alendronate | 0.54 | Lognormal (0.4, 0.7) | 26 |
Etidronate | 0.64 | Lognormal (0.31, 1.07) | 26 |
Risedronate | 0.66 | Lognormal (0.48, 0.81) | 26 |
Denosumab | 0.33 | Lognormal (0.23, 0.47) | 26 |
Zoledronate | 0.30 | Lognormal (0.21, 0.43) | 26 |
Treatment continuation rates | |||
Alendronate (daily) | 0.65 | Beta (65, 35) | 14 |
Etidronate | 0.57 | Beta (57, 43) | 14 |
Risedronate (daily) | 0.62 | Beta (62, 38) | 14 |
Relative reduction in noncompliance | |||
Once weekly bisphosphonates versus once daily | 0.719 | Lognormal (0.7126, 0.7265) | 27 |
Denosumab versus bisphosphonates | 0.540 | Lognormal (0.31, 0.93) | 28 |
Zoledronate versus denosumab | 1.256 | Lognormal (1.15, 1.37) | 29 |
Cost of health care events | |||
Hip fracture—living in the community | 50513.75 | Gamma (50,514, 401) | 18,19 |
Hip fracture—living in LTC | 19582.77 | Gamma (19,583, 403) | 18,19 |
Hip fracture—women who die following fracture | 12207.83 | Gamma (12,208, 1429) | 18,19 |
2nd year post hip fracture | 5134.32 | Gamma (5,134, 210) | 18,19 |
Wrist fracture—ambulatory | 411.40 | Gamma (411, 4) | 21 |
Wrist fracture—hospitalized | 8557.40 | Gamma (8,557, 435) | 20 |
Vertebral fracture—ambulatory | 612.40 | Gamma (612, 10) | 21 |
Vertebral fracture—hospitalized | 12613.40 | Gamma (12,613, 559) | 20 |
No fracture—living in LTC | 46301.57 | Gamma (46,302, 953) | 18,19 |
No fracture—living in community | 9086.38 | Gamma (9,086, 72) | 18,19 |
Annual drug costs | |||
Alendronate | 153.66 | Fixed | 22 |
Etidronate | 122.88 | Fixed | 22 |
Risedronate | 180.31 | Fixed | 22 |
Denosumab | 825.67 | Fixed | 22 |
Zoledronate | 371.06 | Fixed | 22 |
Utility values | |||
Women aged 65–69—no fracture | 0.836 | 1 − Lognormal (0.164, 0.004) | 23 |
Women aged 70–74—no fracture | 0.824 | 1 − Lognormal (0.176, 0.004) | 23 |
Women aged 75–79—no fracture | 0.792 | 1 − Lognormal (0.208, 0.005) | 23 |
Women aged >80—no fracture | 0.712 | 1 − Lognormal (0.288, 0.005) | 23 |
Hip fracture—1st year—utility multiplier | 0.7 | 1 − Lognormal (0.3, 0.033) | 24 |
Hip fracture—2nd year—utility multiplier | 0.8 | 1 − Lognormal (0.2, 0.071) | 24 |
Vertebral fracture—hospitalized—utility multiplier | 0.59 | 1 − Lognormal (0.41, 0.094) | 24 |
Wrist—utility multiplier | 0.956 | 1 − Lognormal (0.044, 0.036) | 24 |
Vertebral fracture—not hospitalized—utility multiplier | 0.909 | 1 − Lognormal (0.091, 0.043) | 25 |
LTC, long-term care; SD, standard deviation.
Beta and gamma distributions depicted by shape and scale parameters. Dirichlet distribution depicted by concentration parameters. Normal distributions depicted by mean and standard errors. Lognormal distribution depicted by upper and lower bounds of the 95% confidence interval. Costs represent CAN$ in 2017.