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Depression is associated with high impact on health-related quality of life (HRQoL). Health state valuations are used for cost-effectiveness analysis to provide results for health-policy interventions.
Objectives
The study aims to estimate a population-based value set of depression described by Patient Health Questionnaire (PHQ-9). We intend to assess vignettes describing PHQ-9 health states to estimate utility values
Methods
Current research elicited direct utility scores using time trade-off (TTO) method obtained from the Hungarian general population (N=2,000). TTO vignettes were created to describe hypothetical health states of depression based on the nine items of PHQ-9. The hypothetical health states were sorted orthogonally in 11 blocks, each containing 4 vignettes (combinations of no; mild; moderate; severe depression). All respondents valued the four health states of one randomly given block. Conventional TTO method was applied, using a 10-year timeframe, while the first iteration step was randomized to 1,3 and 5 year. Preference weights were estimated using regression model fitted to TTO utility results.
Results
Altogether 1,999 respondents valued overall 34 different health states. The mean age was 47.3 (16.9) years, the majority was female (57.2%). Nearly half of the respondents were secondary educated 45.4%, 27.3% higher educated and 27.2% completed primary school. The mean TTO utility of selected mild, moderate and severe depression was: 0.83; 0.82 and 0.77 respectively.
Conclusions
Our results constitute the first population-based value set for PHQ-9. Utility scores give useful information for cost-effectiveness assessments. Estimates provide preference-based quality of life weights for the Hungarian population.
We give a corrected version of our previous lower bound on the value set of binomials (Canad. Math. Bull., v.63, 2020, 187–196). The other results are not affected.
We obtain a new lower bound on the size of the value set $\mathscr{V}(f)=f(\mathbb{F}_{p})$ of a sparse polynomial $f\in \mathbb{F}_{p}[X]$ over a finite field of $p$ elements when $p$ is prime. This bound is uniform with respect to the degree and depends on some natural arithmetic properties of the degrees of the monomial terms of $f$ and the number of these terms. Our result is stronger than those that can be extracted from the bounds on multiplicities of individual values in $\mathscr{V}(f)$.
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