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Davis S, Martyn-St James M, Sanderson J, et al. A systematic review and economic evaluation of bisphosphonates for the prevention of fragility fractures. Southampton (UK): NIHR Journals Library; 2016 Oct. (Health Technology Assessment, No. 20.78.)

Cover of A systematic review and economic evaluation of bisphosphonates for the prevention of fragility fractures

A systematic review and economic evaluation of bisphosphonates for the prevention of fragility fractures.

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Appendix 8Parameter distributions used in the probabilistic sensitivity analysis

TABLE 51

Distributions assigned to the parameters used in the model

Parameter descriptionDistributionMeanStandard errorParameter 1Parameter 2Source(s)
Patients hospitalised
Following vertebral fractureBeta0.40NAα = 587β = 884Gutierrez et al.234
Following wrist or forearm fractureBeta0.29NAα = 2081β = 4989Gutierrez et al.234
Following humerus fractureBeta0.35NAα = 894β = 1651Gutierrez et al.234
Following hip fractureFixed1.00NANANAGutierrez et al.233
A&E visits
Following vertebral fractureBeta0.11NAα = 171β = 1300Gutierrez et al.234
Following wrist or forearm fractureBeta0.21NAα = 1489β = 5581Gutierrez et al.234
Following humerus fractureBeta0.18NAα = 469β = 2076Gutierrez et al.234
Following hip fractureBeta0.18NAα = 442β = 1985Gutierrez et al.233
GP visits
Following vertebral fractureBeta0.97NAα = 1425β = 46Gutierrez et al.234
Following wrist or forearm fractureBeta0.95NAα = 6689β = 381Gutierrez et al.234
Following humerus fractureBeta0.94NAα = 2385β = 160Gutierrez et al.234
Following hip fractureBeta0.88NAα = 2141β = 286Gutierrez et al.233
Referral visits
Following vertebral fractureBeta0.50NAα = 730β = 741Gutierrez et al.234
Following wrist or forearm fractureBeta0.37NAα = 2623β = 4447Gutierrez et al.234
Following humerus fractureBeta0.34NAα = 875β = 1670Gutierrez et al.234
Following hip fractureBeta0.33NAα = 805β = 1622Gutierrez et al.233
Patient deaths
Following vertebral fractureBeta0.09NAα = 131β = 1340Gutierrez et al.234
Following wrist or forearm fractureBeta0.04NAα = 271β = 6799Gutierrez et al.234
Following humerus fractureBeta0.07NAα = 197β = 2348Gutierrez et al.234
Following hip fractureBeta0.08NAα = 197β = 2230Gutierrez et al.233
Patients hospitalised
Matched controls for vertebral fractureBeta0.17NAα = 245β = 1226Gutierrez et al.234
Matched controls for wrist or forearm fractureBeta0.13NAα = 895β = 6175Gutierrez et al.234
Matched controls for humerus fractureBeta0.15NAα = 383β = 2162Gutierrez et al.234
Matched controls for hip fractureBeta0.18NAα = 432β = 1995Gutierrez et al.233
A&E visits
Matched controls for vertebral fractureBeta0.04NAα = 64β = 1407Gutierrez et al.234
Matched controls for wrist or forearm fractureBeta0.03NAα = 208β = 6862Gutierrez et al.234
Matched controls for humerus fractureBeta0.03NAα = 82β = 2463Gutierrez et al.234
Matched controls for hip fractureBeta0.04NAα = 95β = 2332Gutierrez et al.233
GP visits
Matched controls for vertebral fractureBeta0.90NAα = 1319β = 152Gutierrez et al.234
Matched controls for wrist or forearm fractureBeta0.89NAα = 6268β = 802Gutierrez et al.234
Matched controls for humerus fractureBeta0.91NAα = 2305β = 240Gutierrez et al.234
Matched controls for hip fractureBeta0.91NAα = 2200β = 227Gutierrez et al.233
Referral visits
Matched controls for vertebral fractureBeta0.32NAα = 475β = 996Gutierrez et al.234
Matched controls for wrist or forearm fractureBeta0.28NAα = 1988β = 5082Gutierrez et al.234
Matched controls for humerus fractureBeta0.29NAα = 749β = 1796Gutierrez et al.234
Matched controls for hip fractureBeta0.32NAα = 775β = 1652Gutierrez et al.233
Difference in medications prescribed between patients with a previous fracture and those without
Following vertebral fractureNormal22.352.16µ = 2.35σ = 2.16Gutierrez et al.234
Following wrist or forearm fractureNormal4.610.61µ = 4.61σ = 0.61Gutierrez et al.234
Following humerus fractureNormal4.610.61µ = 4.61σ = 0.61Gutierrez et al.234
Following hip fractureNormal12.341.72µ = 2.34σ = 1.72Gutierrez et al.233
Utility multipliers in year of fracture
Hip fractureBeta0.690.016α = 575.84β = 258.71Ström et al.226
Vertebral fractureBeta0.570.035α = 113.48β = 85.61Ström et al.226
Humerus fractureBeta0.860.085α = 13.47β = 2.19Ström et al.226
Wrist or forearm fractureBeta0.880.015α = 412.13β = 56.20Zethraeus et al.220
Utility multiplier in subsequent years
Hip fractureBeta0.850.016α = 422.49β = 74.56Ström et al.226
Vertebral fractureBeta0.660.035α = 120.24β = 61.94Strom et al.226
Humerus fractureFixed1.00NANANAZethraeus et al. 220
Wrist or forearm fractureBeta0.980.015α = 84.39β = 1.72Ström et al.226
Patient admitted to nursing homeBeta0.630.191α = 3.38β = 2.03Tidermark et al.225
Life expectancy for patient suffering a fatal hip fractureFixed0.25NANANAAssumption
RR of mortality following hip fracture for patients admitted to a nursing homeLog-normal0.570.074µ = –0.56212σ = 0.13150Smith et al.157
Duration of treatment (years)
Alendronic acid/risedronic acid/ibandronic acid (oral)Normal0.5040.028µ = 0.504σ = 0.028Imaz et al.128
ibandronic acid (i.v. preparation)Normal1.1000.041µ = 1.100σ = 0.041Curtis et al. 2012170
Zoledronic acidNormal1.7000.018µ = 1.700σ = 0.018Curtis et al. 2012170
Annual cost of treatment
Alendronic acidFixed£14.73NANANADrug tariff151
Risedronic acidFixed£16.43NANANADrug tariff151
ibandronic acid (oral preparation)Fixed£13.58NANANADrug tariff151
ibandronic acid (i.v. preparation)Fixed£221.52NANANAeMIT152
Zoledronic acidFixed£339.67NANANAeMIT152
Patient admitted to nursing homeFixed£36,608.00NANANACare Quality Commission236 and Curtis26
Hours of home help per week in first 4 months after fracture
Hip fractureNormal1.870.30µ = 1.87σ = 0.30Borgström et al.207
Vertebral fractureNormal1.880.50µ = 1.88σ = 0.50Borgström et al.207
Humerus/wrist or forearm fractureNormal0.210.10µ = 0.21σ = 0.10Borgström et al.207
Hours of home help per week in months 8–12 following fracture
Hip fractureNormal1.420.21µ = 1.42σ = 0.21Borgström et al.207
Vertebral fractureNormal2.560.61µ = 2.56σ = 0.61Borgström et al.207
Humerus/wrist or forearm fractureNormal0.070.04µ = 0.07σ = 0.04Borgström et al.207

NA, not available.

TABLE 52

Distributions used in the PSA for the increased risk of fracture following incident fracture

DescriptionDistributionMid-pointStandard errorParameter 1Parameter 2Source
HR for future hip fracture given
Prior hip fractureLog-normal2.30.561µ = 0.832909σ = 0.230323Klotzbuecher et al.149
Prior vertebral fractureLog-normal2.30.204µ = 0.832909σ = 0.085835Klotzbuecher et al.149
Prior humerus fractureLog-normal2.00.077µ = 0.693147σ = 0.037399Klotzbuecher et al.149
Prior wrist/forearm fractureLog-normal1.90.153µ = 0.641854σ = 0.081238Klotzbuecher et al.149
HR for future vertebral fracture given
Prior hip fractureLog-normal2.50.434µ = 0.916291σ = 0.169637Klotzbuecher et al.149
Prior vertebral fractureLog-normal4.40.459µ = 1.481605σ = 0.103435Klotzbuecher et al.149
Prior humerus fractureLog-normal2.00.204µ = 0.693147σ = 0.103435Klotzbuecher et al.149
Prior wrist/forearm fractureLog-normal1.70.179µ = 0.530628σ = 0.103435Klotzbuecher et al.149
HR for future humerus fracture given
Prior hip fractureLog-normal2.14.337µ = 0.741937σ = 1.034357Warriner et al.213
Prior vertebral fractureLog-normal1.60.587µ = 0.470004σ = 0.371247Warriner et al.213
Prior humerus fractureLog-normal2.14.337µ = 0.741937σ = 1.034357Klotzbuecher et al.149
Prior wrist/forearm fractureLog-normal2.52.449µ = 0.916291σ = 0.722759Warriner et al.213
HR for future wrist/forearm fracture given
Prior hip fractureLog-normal3.01.327µ = 1.098612σ = 0.410571Warriner et al.213
Prior vertebral fractureLog-normal1.40.128µ = 0.336472σ = 0.088854Klotzbuecher et al.149
Prior humerus fractureLog-normal1.90.383µ = 0.641854σ = 0.195728Klotzbuecher et al.149
Prior wrist/forearm fractureLog-normal3.30.383µ = 1.193922σ = 0.142759Klotzbuecher et al.149

TABLE 53

Distributions used in the PSA for the probability of mortality following hip fracture

DescriptionDistributionMeanStandard errorParameter 1Parameter 2Source
Female patients, age (years)
30–39Fixed0.000NANANAvan Staa et al.141
40–49Fixed0.000NANANAvan Staa et al.141
50–59Beta0.024NAα = 21.649β = 880.386van Staa et al.141
60–69Beta0.044NAα = 109.383β = 2376.587van Staa et al.141
70–79Beta0.075NAα = 301.095β = 3713.504van Staa et al.141
80–89Beta0.114NAα = 433.698β = 3370.667van Staa et al.141
90–99Beta0.136NAα = 139.921β = 888.912van Staa et al.143
Male patients, age (years)
30–39NA0.000NANANA
40–49NA0.000NANANA
50–59NA0.037NANANA
60–69NA0.072NANANA
70–79NA0.134NANANA
80–89NA0.181NANANA
90–99NA0.200NANANA

NA, not available.

Note

For male patients the values sampled for female patients are multiplies by a sex–mortality ratio taken from Roberts and Goldacre.189

TABLE 54

Distributions used in the PSA for the probability of nursing home admission following fracture

DescriptionDistributionMeanStandard errorParameter 1Parameter 2Source
Overall rate of new admission to nursing home across all ages and sexBeta20%NAα = 274β = 1370Najayan et al.206
Female patients
Age 30–39 yearsNot sampled0.000NANANANajayan et al.206
Age 40–49 years0.000NANANANajayan et al.206
Age 50–59 years0.035NANANANajayan et al.206
Age 60–69 years0.064NANANANajayan et al.206
Age 70–79 years0.113NANANANajayan et al.206
Age 80–89 years0.192NANANANajayan et al.206
Age 90–99 years0.307NANANANajayan et al.206
Male patients
Age 30–39 yearsNot sampled0.000NANANANajayan et al.206
Age 40–49 years0.000NANANANajayan et al.206
Age 50–59 years0.057NANANANajayan et al.206
Age 60–69 years0.102NANANANajayan et al.206
Age 70–79 years0.175NANANANajayan et al.206
Age 80–89 years0.284NANANANajayan et al.206
Age 90–99 years0.425NANANANajayan et al.206

NA, not available.

TABLE 55

Distributions used in the PSA for the probability of mortality following vertebral fracture

DescriptionDistributionMeanStandard errorParameter 1Parameter 2Source
All patients
Age 30–39 yearsFixed0.000NANANAvan Staa et al.141
Age 40–49 yearsFixed0.000NANANAvan Staa et al.141
Age 50–59 yearsBeta0.023NAα = 85.581β = 3635.314van Staa et al.141
Age 60–69 yearsBeta0.035NAα = 247.105β = 6813.048van Staa et al.141
Age 70–79 yearsBeta0.052NAα = 378.597β = 6902.117van Staa et al.141
Age 80–89 yearsBeta0.067NAα = 285.369β = 3973.865van Staa et al.141
Age 90–99 yearsBeta0.066NAα = 53.757β = 760.736van Staa et al.141

NA, not available.

TABLE 56

Distributions used in the PSA for A&E treatment in the year after fracture

Service code, currency code and descriptionNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
T02 A, VB07Z emergency medicine, category 2 investigation with category 2 treatment patient admitted34,92094£28Gammaκ = 382,885.49θ = 0.0002
T02NA, VB07Z emergency medicine, category 2 investigation with category 2 treatment patient not admitted24,83582£39Gammaκ = 109,477.62θ = 0.0007

Source was 2013/14 NHS reference costs.150

TABLE 57

Distributions used in the PSA for referrals in the year after fracture

Service code, currency code and descriptionNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
WF01B, 302 non-consultant-led outpatient appointments, first attendance, not admitted, face to face, endocrinology109,162186.5466Gammaκ = 955.04θ = 0.20
WF01 A, 302 non-consultant-led outpatient appointments, follow-up attendance, not admitted, face to face, endocrinology353,215133.0047Gammaκ = 989.53θ = 0.13

Source was 2013/14 NHS reference costs.150

TABLE 58

Distributions used in the PSA for hospitalisation for humerus fracture in the year after fracture

Currency code and descriptionNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
Non-elective inpatient procedures, long stay
HA61B major shoulder or upper arm procedures for trauma, with cc95171941931Gammaκ = 1943.78θ = 3.7
HA61C major shoulder or upper arm procedures for trauma, without cc188043051270Gammaκ = 1618.63θ = 2.66
HA62Z intermediate shoulder or upper arm procedures for trauma24936541613Gammaκ = 549.10θ = 6.65
HA63Z minor shoulder or upper arm procedures for trauma6112520944Gammaκ = 947.75θ = 2.66
HA69Z minimal shoulder or upper arm procedures for trauma1323NAFixedNANA
Non-elective inpatient procedures, long stay, excess bed-day
HA61B major shoulder or upper arm procedures for trauma, with cc1,622276.43110Gammaκ = 421.63θ = 0.66
HA61C major shoulder or upper arm procedures for trauma, without cc3010312.6289Gammaκ = 1607.77θ = 0.19
HA62Z intermediate shoulder or upper arm procedures for trauma1158294.37114Gammaκ = 380.05θ = 0.77
HA63Z minor shoulder or upper arm procedures for trauma2155244.8986Gammaκ = 800.88θ = 0.31

cc, complications and comorbidities; NA, not available.

Source was 2013/14 NHS reference costs.150

TABLE 59

Distributions used in the PSA for hospitalisation for wrist fracture in the year after fracture

Currency code and descriptionNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
Non-elective inpatient procedures, long stay
HA71B major elbow or lower arm procedures for trauma, with cc135638351196Gammaκ = 186.41θ = 7.27
HA71C major elbow or lower arm procedures for trauma, without cc74942913888Gammaκ = 10,408.22θ = 0.72
HA72Z intermediate elbow or lower arm procedures for trauma84525851026Gammaκ = 87.52θ = 9.66
HA73B minor elbow or lower arm procedures for trauma, 18 years and under8691637492Gammaκ = 369.14θ = 2.19
HA73C minor elbow or lower arm procedures for trauma, 19 years and over9631481704Gammaκ = 254.31θ = 3.79
HA79Z minimal elbow or lower arm procedures for trauma1371NAFixedNANA
Non-elective inpatient procedures, long stay, excess bed-day
HA71B major elbow or lower arm procedures for trauma, with cc2475291£88Gammaκ = 993.96θ = 0.29
HA71C major elbow or lower arm procedures for trauma, without cc3716314£120Gammaκ = 974.53θ = 0.32
HA72Z intermediate elbow or lower arm procedures for trauma975256£101Gammaκ = 531.39θ = 0.48
HA73B minor elbow or lower arm procedures for trauma, 18 years and under110379£144Gammaκ = 152.54θ = 2.48
HA73C minor elbow or lower arm procedures for trauma, 19 years and over2703265£93Gammaκ = 943.70θ = 0.28

cc, complications and comorbidities; NA, not available.

Source was 2013/14 NHS reference costs.150

TABLE 60

Distributions used in the PSA for hospitalisation for hip fracture (procedure costs) in the year after fracture

Currency code and descriptionNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
Non-elective inpatient procedures, long stay
HA11 A major hip procedures for trauma, category 2, with major cc71313,4084678Gammaκ = 1117.05θ = 12.00
HA11B major hip procedures for trauma, category 2, with intermediate cc31987913503Gammaκ = 680.27θ = 12.92
HA11C major hip procedures for trauma, category 2, without cc77373371847Gammaκ = 2051.83θ = 3.58
HA12B major hip procedures for trauma, category 1, with cc19,08082101786Gammaκ = 3064.35θ = 2.68
HA12C major hip procedures for trauma, category 1, without cc989064171159Gammaκ = 4507.56θ = 1.42
HA13A intermediate hip procedures for trauma, with major cc10,21282371997Gammaκ = 2415.09θ = 3.41
HA13B intermediate hip procedures for trauma, with intermediate cc535565701726Gammaκ = 2057.28θ = 3.19
HA13C intermediate hip procedures for trauma, without cc967355511129Gammaκ = 3528.05θ = 1.57
HA14A minor hip procedures for trauma, with major cc24973123737Gammaκ = 398.07θ = 18.37
HA14B minor hip procedures for trauma, with intermediate cc21649052020Gammaκ = 595.70θ = 8.23
HA14C minor hip procedures for trauma, without cc64539391064Gammaκ = 1904.04θ = 2.07
HA19Z minimal hip procedures for trauma17790NAFixedNANA

cc, complications and comorbidities; NA, not available.

Source was 2013/14 NHS reference costs.150

TABLE 61

Distributions used in the PSA for hospitalisation for hip fracture (excess bed-day costs) in the year after fracture

Currency codeNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
Non-elective inpatient procedures, long stay, excess bed-day
HA11 A major hip procedures for trauma, category 2, with major cc140431284Gammaκ = 410.74θ = 0.76
HA11B major hip procedures for trauma, category 2, with intermediate cc307299115Gammaκ = 177.30θ = 1.69
HA11C major hip procedures for trauma, category 2, without cc39431189Gammaκ = 296.08θ = 1.05
HA12B major hip procedures for trauma, category 1, with cc16,31028288Gammaκ = 1376.53θ = 0.20
HA12C major hip procedures for trauma, category 1, without cc446326798Gammaκ = 886.70θ = 0.30
HA13A intermediate hip procedures for trauma, with major cc863029088Gammaκ = 1176.62θ = 0.25
HA13B intermediate hip procedures for trauma, with intermediate cc250229295Gammaκ = 746.43θ = 0.39
HA13C intermediate hip procedures for trauma, without cc367426269Gammaκ = 1715.15θ = 0.15
HA14A minor hip procedures for trauma, with major cc466256120Gammaκ = 86.67θ = 2.95
HA14B minor hip procedures for trauma, with intermediate cc198339226Gammaκ = 45.04θ = 7.53
HA14C minor hip procedures for trauma, without cc962317159Gammaκ = 232.60θ = 1.37

cc, complications and comorbidities.

Source was 2013/14 NHS reference costs.150

TABLE 62

Distributions used in the PSA for vertebral fracture hospitalisations in the year after fracture

Currency codeNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
Non-elective inpatient procedures, long stay
HC20D vertebral column injury without procedure, with a cc score of ≥ 6160954792858Gammaκ = 543.85θ = 10.07
HC20E vertebral column injury without procedure, with a cc score of 3–5245937321648Gammaκ = 758.57θ = 4.92
HC20F vertebral column injury without procedure, with a cc score of 1–2261129711136Gammaκ = 1031.87θ = 2.88
HC20G vertebral column injury without procedure, with a cc score of 019042265646Gammaκ = 1806.58θ = 1.25
Non-elective inpatient procedures, long stay, excess bed-day
HC20D vertebral column injury without procedure, with a cc score of ≥ 62317328.19128Gammaκ = 347.54θ = 0.94
HC20E vertebral column injury without procedure, with a cc score of 3–53772260.82125Gammaκ = 393.07θ = 0.66
HC20F vertebral column injury without procedure, with a cc score of 1–22363266.9976Gammaκ = 1171.35θ = 0.23
HC20G vertebral column injury without procedure, with a cc score of 02047282.03117Gammaκ = 599.23θ = 0.47

cc, complications and comorbidities.

Source was 2013/14 NHS reference costs.150

TABLE 63

Distributions used in the PSA for administration of i.v. bisphosphonates

Currency codeNumber of patients treatedMean unit cost (£)SD (£)DistributionParameter 1Parameter 2
WF01 A, 302, non-admitted face-to-face attendance, follow-up, endocrinology353,215133114.37Gammaκ = 989.48θ = 0.13
DCRDN, SB12Z, deliver simple parenteral chemotherapy at first attendance, day case and regular day/night222,98124546.70Gammaκ = 583.60θ = 0.42

Source was 2013/14 NHS reference costs.150

Copyright © Queen’s Printer and Controller of HMSO 2016. This work was produced by Davis et al. under the terms of a commissioning contract issued by the Secretary of State for Health. This issue may be freely reproduced for the purposes of private research and study and extracts (or indeed, the full report) may be included in professional journals provided that suitable acknowledgement is made and the reproduction is not associated with any form of advertising. Applications for commercial reproduction should be addressed to: NIHR Journals Library, National Institute for Health Research, Evaluation, Trials and Studies Coordinating Centre, Alpha House, University of Southampton Science Park, Southampton SO16 7NS, UK.

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