Skip to main content
. 2019 Jan 30;4(1):2381468318818843. doi: 10.1177/2381468318818843

Table 1.

Parameter Estimatesa

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.

a

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.