INTEGRATING MULTILEVEL NETWORK META-REGRESSION (ML-NMR) INTO EXCEL COST-EFFECTIVENESS MODELS USING CONDITIONAL M-SPLINE SURVIVAL CURVES
Author(s)
Christopher Fawsitt, BA, MSc, PhD1, David Aceituno, Md, PhD2, Daisy Gaunt, PhD3, David Phillippo, BSc, MSc, PhD3, Edward Kayongo, MSc4, Howard Thom, MSc, PhD3.
1Director, Clifton Insight, Cork, Ireland, 2Clifton Insight, London, United Kingdom, 3University of Bristol, Bristol, United Kingdom, 4Clifton Insight, Bristol, United Kingdom.
1Director, Clifton Insight, Cork, Ireland, 2Clifton Insight, London, United Kingdom, 3University of Bristol, Bristol, United Kingdom, 4Clifton Insight, Bristol, United Kingdom.
OBJECTIVES: Multilevel Network Meta-Regression (ML-NMR) is an increasingly utilized population-adjusted indirect treatment comparison method. However, incorporating ML-NMR into Excel-based cost-effectiveness models (CEMs) using full marginal posterior curves via G-computation across every MCMC draw is computationally infeasible. We present a streamlined approach using conditional (adjusted) M-spline survival curves evaluated at individual mean covariate values.
METHODS: Extending the simulated newly diagnosed multiple myeloma (NDMM) survival dataset from the R package multinma, we constructed a partitioned survival model comparing lenalidomide, thalidomide, and placebo. To replicate the ML-NMR framework in Excel, we utilized the multinma-estimated study-specific spline coefficients, integrated M-spline basis, covariate-specific linear predictors, and conditional log-hazard ratios at mean target covariate values. These conditional “average individual” curves were validated against population-marginalized survival curves. ML-NMR was applied to progression-free (PFS) survival. Costs, utilities, and overall survival were sourced from the literature, applying a hypothetical discount to the lenalidomide list price. Cost-effectiveness was expressed using incremental cost-effectiveness ratios (ICERs), estimated over a lifetime horizon using a UK NHS/PSS perspective.
RESULTS: In the validation analysis, the conditional curves aligned fully with the population-marginalized curves, with the largest absolute difference at any time point being 1.6 percentage points. Operationally, evaluating a single mean conditional vector instead of full G-computation loops enabled a standard 1,000-run PSA to execute within seconds in Excel. Mean costs and QALYs were £72,799 (95% CrI: £64,761, £81,780) and 4.57 (3.62, 5.51) for lenalidomide; £36,014 (£30,189, £41,858) and 3.68 (2.92, 4.47) for thalidomide; and £10,392 (£9,589, £11,259) and 3.45 (2.8, 4.09) for placebo. The estimated ICER for lenalidomide was £41,093 and £55,702 versus thalidomide and placebo, respectively. Due to simulated/hypothetical inputs, results are illustrative only.
CONCLUSIONS: Utilizing conditional M-spline survival curves at mean covariate values offers a valid and computationally efficient framework to integrate advanced Bayesian ML-NMR outputs into Excel-based CEMs.
METHODS: Extending the simulated newly diagnosed multiple myeloma (NDMM) survival dataset from the R package multinma, we constructed a partitioned survival model comparing lenalidomide, thalidomide, and placebo. To replicate the ML-NMR framework in Excel, we utilized the multinma-estimated study-specific spline coefficients, integrated M-spline basis, covariate-specific linear predictors, and conditional log-hazard ratios at mean target covariate values. These conditional “average individual” curves were validated against population-marginalized survival curves. ML-NMR was applied to progression-free (PFS) survival. Costs, utilities, and overall survival were sourced from the literature, applying a hypothetical discount to the lenalidomide list price. Cost-effectiveness was expressed using incremental cost-effectiveness ratios (ICERs), estimated over a lifetime horizon using a UK NHS/PSS perspective.
RESULTS: In the validation analysis, the conditional curves aligned fully with the population-marginalized curves, with the largest absolute difference at any time point being 1.6 percentage points. Operationally, evaluating a single mean conditional vector instead of full G-computation loops enabled a standard 1,000-run PSA to execute within seconds in Excel. Mean costs and QALYs were £72,799 (95% CrI: £64,761, £81,780) and 4.57 (3.62, 5.51) for lenalidomide; £36,014 (£30,189, £41,858) and 3.68 (2.92, 4.47) for thalidomide; and £10,392 (£9,589, £11,259) and 3.45 (2.8, 4.09) for placebo. The estimated ICER for lenalidomide was £41,093 and £55,702 versus thalidomide and placebo, respectively. Due to simulated/hypothetical inputs, results are illustrative only.
CONCLUSIONS: Utilizing conditional M-spline survival curves at mean covariate values offers a valid and computationally efficient framework to integrate advanced Bayesian ML-NMR outputs into Excel-based CEMs.
Conference/Value in Health Info
2026-11, ISPOR Europe 2026, Vienna, Austria
Value in Health, Volume 29, Issue 12S
Code
MSR252
Topic
Economic Evaluation, Methodological & Statistical Research
Disease
Oncology