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An EQ-5D-5L value set for England 
Nancy Devlin & Ben van Hout 
on behalf of the OHE & ScHARR research team 
OHE seminar 
London • October 30th 2014
This report is independent research commissioned and funded 
by the NIHR/ Department of Health Policy Research 
Programme (‘EQ-5D-5L Value Set for England’ - 070/0073). 
The views expressed in this publication are those of the 
author(s) and not necessarily those of the Department of 
Health. 
Additional data have been used from the PRET study, funded 
by the MRC-NIHR Research Methodology Programme, and the 
PRET-AS study, funded by the EuroQol Group. 
Views expressed in the paper are those of the authors, and 
not the funding bodies. 
An EQ-5D-5L value set for England 
October 30th 2014 
Disclaimer
An EQ-5D-5L value set for England 
October 30th 2014 
Content 
1. Background 
2. Aims 
3. Study design 
4. Data 
5. Modelling 
6. Key results and implications 
7. Remaining research questions
An EQ-5D-5L value set for England 
October 30th 2014 
Background 
• EQ-5D-5L: 3,125 states cf. 243 in the EQ-5D 
• Requests for 5L use now supersedes 3L: an important 
instrument 
• Interim utilities available by mapping 5L states to 3L 
states, and using existing 3L value sets 
• But ultimately, ‘bespoke’ value sets required for 5L 
states 
• Values are generally required to be based on 
preferences of the general public (e.g. NICE 2013) 
• Using ‘stated preferences’ research methods
3L 5L Would we 
expect 
underlying 
values to be the 
same? 
11111 11111 Yes 
33333 55555 Not necessarily – 
mobility ‘extreme’ 
vs. ‘confined to 
bed’ 
22222 33333 Not necessarily – 
‘some’ vs. 
‘moderate’ 
An EQ-5D-5L value set for England 
October 30th 2014
An EQ-5D-5L value set for England 
October 30th 2014 
Aims 
Aim: To produce a set of values for the EQ-5D-5L health state 
descriptive system, based on the preferences of the general public 
in England, for use in decisions based on EQ-5D-5L data 
We investigated the following questions: 
• What is the best method to generate an EQ-5D-5L Value Set 
which reflects the stated preferences of the English general 
public? 
• How can conceptually different types of preference data – Time 
Trade Off (TTO) and Discrete Choice Experiment (DCE) – be 
combined in modelling health state values? 
• How are extreme negative opinions about health states best 
handled? 
• How do people differ in their stated preferences for quality of life; 
and life and death?
An EQ-5D-5L value set for England 
October 30th 2014 
Study design 
• Research protocol developed by the EuroQol Group: EQ-VT 
• Stated preference data collected in face-to-face computer-assisted 
personal interviews 
• n = 1000 members of the adult general public of England, 
selected at random from residential postcodes 
• Sample recruitment sub-contracted to Ipsos MORI 
• Each participant valued 10 health states using TTO, randomly 
assigned from 86 health states in an underlying design; and 
seven DCE tasks, randomly assigned from 196 pairs of states 
• ‘Composite’ TTO approach: conventional TTO for values > 0 and 
‘lead time’ TTO for values < 0 
• The EuroQol Group’s Valuation Technology software (EQ-VT) was 
used to present the tasks and to capture participants’ responses
An EQ-5D-5L value set for England 
October 30th 2014
U(Hi) = (x/t) 
where t = 10 
years 
An EQ-5D-5L value set for England 
October 30th 2014 
TTO for values > 0 (states better 
than dead) 
Example 
shown: 
U(Hi) = 0.5
Where t = 10 years, and 
lead time = 10 years, 
U(Hi) = (x-10)/20-10) 
and min value = -1 
Example shown: 
U(Hi) = -0.5 
An EQ-5D-5L value set for England 
October 30th 2014 
TTO for values < 0 (states worse 
than dead)
An EQ-5D-5L value set for England 
October 30th 2014 
DCE task
An EQ-5D-5L value set for England 
October 30th 2014 
Data 
• Interviews conducted between Nov 2012 and May 2013 
• 996 completed the valuation questionnaire (response rate 
approx. 40%) 
• Close attention paid to data quality: daily monitoring of 
uploaded data and follow-up with interviewers 
• Sample broadly representative of English adult general 
public, although a somewhat larger proportion of retired 
individuals and a smaller proportion of younger individuals 
• In modelling, we also incorporated DCE data from a 
methodological study (‘PRET’)
Proportions choosing A and B based on relative 
An EQ-5D-5L value set for England 
October 30th 2014 
DCE data 
100% 
90% 
80% 
70% 
60% 
50% 
40% 
30% 
20% 
10% 
0% 
severities of A and B 
-10 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 
Misery index of state A minus misery index of state B 
% B 
% A 
0 1 
-10 -5 0 5 10 
delta sum of scores 
dif in misery
An EQ-5D-5L value set for England 
October 30th 2014 
TTO data 
• Fewer values < 0 (worse than dead) compared to Dolan 
(1997) value set – as expected. 
• Clusters of values at -1, 0, 0.5 and 1 
• Logical inconsistencies (e.g. 55555 > than other states) 
• ‘Unusual’ valuations e.g. mild states being valued < 0 
• Interviewer effects apparent
1 3 4 5 6 7 8 
An EQ-5D-5L value set for England 
October 30th 2014 
-0.10 -0.05 0.00 
misery coefficient 
group 
TTO groups 
group N 
all at 1 18 
0<all<1 217 
-1<all<1 113 
-1=<all<1 53 
0<all<=1 194 
-1<all<=1 55 
-1=<all<=1 52
An EQ-5D-5L value set for England 
October 30th 2014 
11121 mean= 0.876 
value 
density 
-1.0 0.0 0.5 1.0 
0 20 40 
12111 mean= 0.868 
value 
density 
-1.0 0.0 0.5 1.0 
0 20 40 
11211 mean= 0.866 
value 
density 
-1.0 0.0 0.5 1.0 
0 20 40 
11221 mean= 0.862 
value 
density 
-1.0 0.0 0.5 1.0 
0 10 20 
21111 mean= 0.83 
value 
density 
-1.0 0.0 0.5 1.0 
0 20 40 
12121 mean= 0.823 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 15 
11112 mean= 0.815 
value 
density 
-1.0 0.0 0.5 1.0 
0 20 40 
11122 mean= 0.806 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 15 
11212 mean= 0.801 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 15 
Distributions, by state
An EQ-5D-5L value set for England 
October 30th 2014 
54231 mean= 0.473 
value 
density 
-1.0 0.0 0.5 1.0 
0 4 8 12 
33253 mean= 0.465 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 15 
12334 mean= 0.463 
value 
density 
-1.0 0.0 0.5 1.0 
0 4 8 
23514 mean= 0.46 
value 
density 
-1.0 0.0 0.5 1.0 
0 4 8 12 
43514 mean= 0.443 
value 
density 
-1.0 0.0 0.5 1.0 
0 4 8 
15151 mean= 0.436 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 10 15 
23152 mean= 0.435 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 15 
31525 mean= 0.428 
value 
density 
-1.0 0.0 0.5 1.0 
0 5 10 
31524 mean= 0.423 
value 
density 
-1.0 0.0 0.5 1.0 
0 2 4 6 8 
Distributions, by state
An EQ-5D-5L value set for England 
October 30th 2014 
Distributions, by state 
21444 mean= 0.148 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
0 10 20 
53244 mean= 0.148 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
0 5 15 
52455 mean= 0.12 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
0 5 10 
43555 mean= 0.119 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
0 5 10 15 
55555 mean= 0.016 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
0 100 
NA mean= NA 
value 
density 
-1.0 -0.5 0.0 0.5 1.0 
-1.0 0.0 1.0
An EQ-5D-5L value set for England 
October 30th 2014 
Descriptive statistics 
minimum value 
minv 
Frequency 
-1.0 -0.5 0.0 0.5 1.0 
0 50 100 150 
maximum value 
maxv 
Frequency 
0.0 0.2 0.4 0.6 0.8 1.0 
0 200 400 
standard deviation of values 
(varv^0.5) 
Frequency 
0.0 0.2 0.4 0.6 0.8 1.0 
0 50 100 150 
range of values used 
range 
Frequency 
0.0 0.5 1.0 1.5 2.0 
0 50 100 150
• Overall, English 5L valuation data have acceptable ‘face validity’: 
the worse the health state, the lower the mean and median value 
An EQ-5D-5L value set for England 
October 30th 2014 
Face validity of the data
An EQ-5D-5L value set for England 
October 30th 2014 
Interpretation of the data 
• Evidence from this study suggests that it is harder 
to imagine, differentiate between, and value health 
states described in terms of 5L rather than 3L 
• More subtle differences between states 
• Cognitive burden 
• Initial model results suggested respondents did not 
differentiate between ‘severe’ (level 4) and 
‘extreme’ (level 5) problems on the dimension 
anxiety/depression
Interpretation of the data 
• Our process for examining the individual-level 
An EQ-5D-5L value set for England 
October 30th 2014 
data: 
• Let’s look at all our respondents 
• Put expected value according to DCE on x axis 
• Put values on Y axis 
• And stare at 1,000 graphs
An EQ-5D-5L value set for England 
October 30th 2014 
Examination of individual-level data
An EQ-5D-5L value set for England 
October 30th 2014 
Examination of individual-level data
An EQ-5D-5L value set for England 
October 30th 2014 
Real or censored???
An EQ-5D-5L value set for England 
October 30th 2014 
Interviewer effects 
Interviewer 
Completed 
interviews 
Exhaust lead time 
(value = -1) 
State worse than dead 
(value < 0) 
State equal to dead 
(value = 0) 
Non-trade 
(value = 1) 
UK15354 33 6% 14% 15% 15% 
UK12790 30 1% 5% 22% 3% 
UK05524 29 0% 1% 6% 8% 
UK03958 28 3% 10% 25% 10% 
UK04526 28 1% 16% 8% 2% 
UK04512 26 6% 20% 10% 3% 
UK13185 25 0% 3% 24% 8% 
UK14661 25 4% 12% 14% 36% 
UK04523 24 2% 10% 9% 20% 
UK02515 22 1% 7% 6% 5% 
UK15247 20 5% 12% 27% 13% 
UK12648 19 5% 14% 17% 27% 
UK15835 19 12% 19% 2% 42% 
UK02957 18 3% 6% 12% 2% 
UK03921 16 0% 0% 4% 20% 
UK04405 16 13% 33% 13% 4% 
UK06347 16 6% 11% 27% 19% 
UK12499 16 0% 2% 6% 17% 
UK04587 15 2% 5% 7% 13%
An EQ-5D-5L value set for England 
October 30th 2014 
Decisions regarding the data 
• Excluded 23 respondents who gave all 10 health states 
the same value; and 61 respondents who valued 55555 
(misery score = 25) no lower than the value they gave to 
the mildest health state included in their block (misery 
score = 6) 
• The core modelling dataset includes 912 respondents, 
with 10 TTO observations for each 
• Censored 105 individuals/477 zeros with >2 states at 
zero (that is out of 1,315 zeros) 
• Censored 68 individuals/142 data points with inconsistent 
negative data
An EQ-5D-5L value set for England 
October 30th 2014 
Modelling 
• The main specifications included models with 5, 9, 10 and 
20 parameters (four parameters for each of the five 
dimensions reflecting a utility decrement for each severity 
level) 
• All models were estimated for both TTO and DCE data, and 
‘hybrids’ of the these 
• Heterogeneity explored via random coefficient models, 
which estimate value functions for every individual 
member of the sample 
• Values at -1 treated as censored
An EQ-5D-5L value set for England 
October 30th 2014 
The hybrid likelihood 
General 
• You have a statistical model 
that generates the data, 
holding unknown 
parameters 
• You have the data 
• You calculate for every set 
of parameters the 
probability that the data 
occur 
• The likelihood is the product 
of all probabilities 
• You calculate the 
parameters at which this 
product of probabilities 
(likelihood) is highest 
Specific 
• There is a likelihood for the 
DCE-data 
– Assuming normal errors 
• There is a likelihood for the 
TTO-data 
– Assuming normal errors 
• The combined likelihood is 
the product of both 
likelihoods
5 parameters 9 parameters 10 parameters 20 parameters 
mobility 
self-care 
usual activities 
pain/discomfort 
anxiety/ 
depression 
An EQ-5D-5L value set for England 
October 30th 2014 
Initial model results, DCE only 
mobility 0.337 (0.306 - 0.369) 1.574 (0.884 - 2.334) 0.278 (0.185 - 0.398) slight 0.349 (0.235 - 0.460) 
self-care 0.241 (0.214 - 0.268) 1.222 (0.689 - 1.805) 0.217 (0.144 - 0.315) moderate 0.441 (0.310 - 0.577) 
usual activities 0.203 (0.175 - 0.232) 0.994 (0.555 - 1.474) 0.176 (0.117 - 0.257) severe 1.132 (1.002 - 1.269) 
pain/discomfort 0.406 (0.377 - 0.436) 1.793 (1.017 - 2.655) 0.312 (0.208 - 0.446) unable 1.441 (1.298 - 1.590) 
anxiety/depression 0.394 (0.364 - 0.424) 1.777 (1.002 - 2.619) 0.309 (0.205 - 0.442) slight 0.268 (0.145 - 0.388) 
slight 0.214 (0.132 - 0.358) 1.187 (0.758 - 1.753) moderate 0.406 (0.272 - 0.541) 
moderate 0.256 (0.159 - 0.426) 1.425 (0.929 - 2.106) severe 1.007 (0.874 - 1.145) 
severe 0.788 (0.503 - 1.294) 4.385 (2.961 - 6.234) unable 1.049 (0.920 - 1.180) 
unable/extreme 0.912 (0.583 - 1.496) 5.006 (3.357 - 7.127) slight 0.213 (0.102 - 0.326) 
extreme 5.134 (3.450 - 7.351) moderate 0.216 (0.096 - 0.335) 
severe 0.796 (0.672 - 0.923) 
unable 0.816 (0.689 - 0.949) 
slight 0.328 (0.212 - 0.446) 
moderate 0.376 (0.248 - 0.499) 
severe 1.198 (1.065 - 1.331) 
extreme 1.587 (1.449 - 1.731) 
slight 0.331 (0.205 - 0.454) 
moderate 0.376 (0.252 - 0.506) 
severe 1.355 (1.220 - 1.494) 
extreme 1.470 (1.329 - 1.611) 
Deviance 7750 (7745 - 7757) 7516 (7510 - 7525) 7516 (7510 - 7527) Deviance 7502 (7492 - 7516) 
DIC 7755 7517 7523 DIC 7522
5 parameters 9 parameters 10 parameters 20 parameters 
constant 1.109 (1.086 - 1.131) 0.874 (0.858 - 0.889) 0.884 (0.870 - 0.899) constant 0.832 (0.816 - 0.837) 
mobility 0.037 (0.030 - 0.045) 0.266 (0.215 - 0.323) 0.209 (0.176 - 0.257) slight -0.021 -(0.039 - -0.015) 
self-care 0.035 (0.028 - 0.042) 0.273 (0.222 - 0.337) 0.208 (0.175 - 0.255) moderate 0.008 -(0.018 - 0.017) 
usual activities 0.040 (0.033 - 0.048) 0.252 (0.208 - 0.308) 0.194 (0.162 - 0.241) severe 0.141 (0.108 - 0.153) 
pain/discomfort 0.072 (0.063 - 0.081) 0.401 (0.334 - 0.485) 0.323 (0.275 - 0.392) unable 0.210 (0.175 - 0.221) 
anxiety/depression 0.057 (0.049 - 0.065) 0.312 (0.253 - 0.382) 0.261 (0.223 - 0.317) slight -0.005 -(0.027 - 0.002) 
slight 0.111 (0.080 - 0.150) 0.159 (0.120 - 0.202) moderate 0.031 (0.003 - 0.041) 
moderate 0.225 (0.175 - 0.279) 0.282 (0.221 - 0.344) severe 0.102 (0.068 - 0.114) 
severe 0.644 (0.539 - 0.756) 0.838 (0.678 - 0.953) unable 0.196 (0.166 - 0.207) 
unable/extreme 0.802 (0.670 - 0.935) 1.094 (0.901 - 1.258) slight 0.000 -(0.019 - 0.007) 
extreme 0.981 (0.789 - 1.125) moderate 0.020 -(0.006 - 0.029) 
severe 0.123 (0.093 - 0.134) 
unable 0.158 (0.124 - 0.170) 
slight -0.004 -(0.022 - 0.002) 
moderate 0.047 (0.022 - 0.056) 
severe 0.269 (0.233 - 0.282) 
extreme 0.304 (0.260 - 0.320) 
slight 0.016 -(0.003 - 0.022) 
moderate 0.060 (0.031 - 0.072) 
severe 0.246 (0.211 - 0.259) 
extreme 0.235 (0.202 - 0.247) 
mobility 
self-care 
usual activities 
pain/ 
discomfort 
anxiety/ 
depression 
sigma 1.510 (1.235 - 1.775) 3.074 (2.659 - 3.567) 3.131 (2.664 - 3.650) sigma 0.931 (0.805 - 1.073) 
Deviance 3153 (2914 - 3422) -3448 -(3967 - -2970) -4673 -(5200 - -4104) Deviance -11006 -(11860 - -10200) 
DIC 4534 -989 -2704 DIC -4951 
An EQ-5D-5L value set for England 
October 30th 2014 
Initial model results, TTO only 
• DIC lowest for 10-parameter model 
• Unexpected coefficient for level 5 on anxiety/depression
5 parameters 9 parameters 10 parameters 20 parameters 
constant 1.180 (1.150 -1.209) 0.890 (0.863 -0.913) 0.892 (0.866 -0.917) constant 0.881 (0.853 -0.912) 
mobility -0.054 -(0.059 --0.050) 0.249 (0.154 -0.333) 0.157 (0.097 -0.271) slight -0.051 -(0.068 --0.035) 
self-care -0.038 -(0.043 --0.032) 0.191 (0.117 -0.256) 0.118 (0.073 -0.205) moderate -0.065 -(0.085 --0.047) 
mobility 
usual activities -0.035 -(0.040 --0.029) 0.163 (0.100 -0.222) 0.101 (0.062 -0.175) severe -0.180 -(0.198 --0.162) 
pain/discomfort -0.070 -(0.076 --0.065) 0.301 (0.186 -0.399) 0.198 (0.121 -0.338) unable -0.228 -(0.248 --0.210) 
anxiety/depression -0.067 -(0.073 --0.063) 0.287 (0.177 -0.382) 0.188 (0.116 -0.326) slight -0.041 -(0.058 --0.025) 
slight -0.201 -(0.310 --0.138) -0.323 -(0.504 --0.174) moderate -0.063 -(0.082 --0.045) 
self-care 
moderate -0.267 -(0.407 --0.188) -0.428 -(0.658 --0.234) severe -0.150 -(0.168 --0.131) 
severe -0.800 -(1.216 --0.574) -1.276 -(1.932 --0.696) unable -0.169 -(0.187 --0.152) 
unable/extreme -0.914 -(1.388 --0.658) -1.522 -(2.308 --0.822) slight -0.038 -(0.054 --0.021) 
extreme -1.414 -(2.138 --0.775) moderate -0.039 -(0.058 --0.021) 
usual 
activities 
pain/ 
discomfort 
anxiety/ 
depression 
An EQ-5D-5L value set for England 
October 30th 2014 
Initial results from the hybrid model 
• Before addressing censoring at 1 
severe -0.132 -(0.150 --0.114) 
unable -0.136 -(0.154 --0.117) 
slight -0.050 -(0.067 --0.032) 
moderate -0.062 -(0.080 --0.044) 
severe -0.206 -(0.225 --0.186) 
extreme -0.258 -(0.279 --0.239) 
slight -0.057 -(0.075 --0.039) 
moderate -0.075 -(0.094 --0.056) 
severe -0.230 -(0.252 --0.209) 
extreme -0.238 -(0.259 --0.219) 
constant DCE 0.023 -(0.077 -0.096) -0.119 -(0.174 --0.063) -0.120 -(0.170 --0.066) constant DCE -0.119 -(0.175 --0.064) 
slope DCE 5.535 (4.223 -7.404) -5.936 -(6.325 --5.558) -5.935 -(6.324 --5.542) slope DCE -6.055 -(6.497 --5.632) 
Deviance 21241 (21230 -21250) 20934 (20930 -20950) 20932 (20920 -20940) Deviance 17806 (17790 -17820) 
DIC 21249 20917 20877 DIC 17830
An EQ-5D-5L value set for England 
October 30th 2014 
Issues with the TTO results 
• Lower parameter for anxiety-depression level 
5 than for anxiety/depression level 4 
• Brute force 
• Heterogeneity 
• Latent distributions 
• Low value of the intercept 
• Error distributions
Heterogeneity 
• The coefficients beta which reflect weights for 
dimensions and levels are normally distributed 
over the population 
• The shape of the value as a function of x’beta 
An EQ-5D-5L value set for England 
October 30th 2014 
follows a: 
– Normal distribution 
– Lognomal distribution 
– Multinomial distribution 
– (3 latent classes) 
1 
0.5 
0 
-0.5 
-1 
-1.5 
value 
x'beta
An EQ-5D-5L value set for England 
October 30th 2014 
Parameter estimates 
0.300 
0.250 
0.200 
0.150 
0.100 
0.050 
0.000 
0.350 
0.300 
0.250 
0.200 
0.150 
0.100 
0.050 
0.000 
-0.050 
slope ~ normal 
slight moderate severe unable/extreme 
0.600 
0.500 
0.400 
0.300 
0.200 
0.100 
0.000 
-0.100 
slope ~ lognormal 
slight moderate severe unable/extreme 
3.500 
3.000 
2.500 
2.000 
1.500 
1.000 
0.500 
0.000 
-0.500 
slope ~ multinomial 
slight moderate severe unable/extreme 
-0.050 
homogeneous TTO 
slight moderate severe unable/extreme
An EQ-5D-5L value set for England 
October 30th 2014 
The low value of the constant
Are (have) we (been) doing this 
correctly? 
An EQ-5D-5L value set for England 
October 30th 2014 
• Variation is caused by: 
• Differences of opinion 
• Errors 
• You can value at 0.5 or 0, but you can’t value 
at 1.5 or 2 
• If it is errors, and not opinions, which are 
driving the lower values, the mean may not be 
the right measure to reflect ‘average’ opinion 
• There is error-censoring at 1
An EQ-5D-5L value set for England 
October 30th 2014 
The low value of the constant
An EQ-5D-5L value set for England 
October 30th 2014 
TTO value by number of moves 
-1 -0.95 -0.9 -0.85 -0.8 -0.7 -0.65 -0.6 -0.55 -0.5 -0.5 -0.4 -0.4 -0.3 -0.3 -0.2 -0.2 -0.1 -0.1 0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1 1 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 223 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 596 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 222 0 0 0 0 0 0 0 0 0 865 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 123 0 0 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 275 0 0 0 279 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 48 0 0 0 14 0 0 0 0 0 0 0 6 0 2 0 0 0 242 0 0 44 0 48 0 0 337 0 0 0 0 0 0 
0 0 0 0 0 55 0 0 10 0 5 0 0 8 0 0 0 0 0 0 1 0 0 187 0 0 43 2 0 67 0 5 52 0 0 385 0 0 0 0 
0 0 0 0 20 0 5 2 0 7 0 0 6 0 0 17 0 0 0 1 0 89 1 0 20 4 0 33 7 0 6 37 0 17 36 0 0 313 0 0 
0 0 30 0 0 1 0 3 1 0 0 3 0 1 2 0 0 11 0 0 71 0 18 7 1 19 4 2 3 28 3 1 5 18 0 16 42 0 457 0 
0 71 0 1 0 2 2 0 0 2 0 0 1 0 0 0 2 0 11 45 0 13 0 20 1 1 2 8 5 13 0 7 3 3 5 19 0 40 0 645 
305 0 1 0 1 0 0 1 0 0 0 2 0 0 0 2 0 4 0 29 7 7 1 2 0 5 2 1 0 11 0 4 1 7 2 7 2 4 105 0 
0 1 0 0 0 1 1 0 0 2 0 0 0 2 0 1 0 0 2 1 3 3 1 0 1 2 0 2 1 5 3 2 1 5 0 3 1 12 2 18 
4 0 2 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 2 6 0 2 1 3 1 3 0 1 1 3 0 3 0 0 0 7 0 4 12 8 
2 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 5 0 2 0 0 0 1 1 2 1 2 0 0 0 1 0 0 0 5 6 4 
0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 3 1 0 0 0 0 3 0 1 0 0 1 2 0 1 1 1 0 4 3 2 
0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 0 1 0 6 0 2 0 2 0 0 0 0 2 15 
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 0 1 1 0 0 0 0 4 0 
6 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 
0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 2 0 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
An EQ-5D-5L value set for England 
October 30th 2014 
The final EQ- 
5D-5L value 
set model 
EQ-5D-5L value set for England 
constant 1.003 
Mobility slight 0.057 
moderate 0.074 
severe 0.207 
unable 0.255 
Self care slight 0.059 
moderate 0.083 
severe 0.176 
unable 0.208 
Usual activities slight 0.048 
moderate 0.067 
severe 0.165 
unable 0.165 
Pain/discomfort slight 0.059 
moderate 0.079 
severe 0.244 
extreme 0.298 
Anxiety/depression slight 0.072 
moderate 0.099 
severe 0.282 
extreme 0.282
An EQ-5D-5L value set for England 
October 30th 2014 
EQ-5D-5L value set for England Example: the value for health state 23245 
constant 1.000 Constant =1.000 
Mobility = 2 0.057 Minus MO level 2 -0.057 
Mobility = 3 0.074 
Mobility = 4 0.207 
Mobility = 5 0.255 
Self care = 2 0.059 
Self care = 3 0.083 Minus SC level 3 -0.083 
Self care = 4 0.176 
Self care = 5 0.208 
Usual activities = 2 0.048 Minus UA level 2 -0.048 
Usual activities = 3 0.067 
Usual activities = 4 0.165 
Usual activities = 5 0.165 
Pain/discomfort = 2 0.059 
Pain/discomfort = 3 0.079 
Pain/discomfort = 4 0.244 Minus PD level 4 -0.244 
Pain/discomfort = 5 0.298 
Anxiety/depression = 2 0.072 
Anxiety/depression = 3 0.099 
Anxiety/depression = 4 0.282 
Anxiety/depression = 5 0.282 Minus AD level 5 -0.282 
State 23245 =0.286 
Calculating 
values: 
a worked 
example
An EQ-5D-5L value set for England 
October 30th 2014 
Comparison with 3L and crosswalk 
5L value set Crosswalk value set 3L value set 
% health states 
worse than dead 
3.2% (100 out of 
3,125) 
26.66% (833 out of 
3,125) 
34.57% (84 out of 
243) 
Preferences 
regarding 
dimensions (from 
the most important 
to the least 
important) 
Pain/Discomfort Pain/Discomfort Pain/Discomfort 
Anxiety/Depression Mobility Mobility 
Mobility Anxiety/Depression Anxiety/Depression 
Self-care Self-care Self-care 
Usual Activities Usual Activities Usual Activities 
Value of 55555 
(33333) 
-0.208 -0.49 -0.594 
Value of 11112* 0.928 0.879 0.848 
Value of 11121* 0.941 0.837 0.796 
Value of 11211* 0.952 0.906 0.883 
Value of 12111* 0.941 0.846 0.815 
Value of 21111* 0.943 0.877 0.850 
Minimum value -0.208 -0.49 -0.594 
Maximum value 1 1 1 
Range of values [-0.208, 1] [-0.594, 1] [-0.594, 1]
3L crosswalk 
An EQ-5D-5L value set for England 
October 30th 2014 
Distributions of values 
1 
1.5 
.5 
0 
Density 
-.5 0 .5 1 
value 
2 
1 
1.5 
.5 
0 
Density 
1 
.5 
-.5 0 .5 1 
value 
2 
0 
1.5 
Density 
-.5 0 .5 1 
value 
5L
3L crosswalk 
An EQ-5D-5L value set for England 
October 30th 2014 
Values and ‘misery scores’ 
-.5 
1 
.5 
0 
5 10 15 
misery 
eq5d3l Fitted values 
-.5 
1 
.5 
0 
5 10 15 20 25 
misery 
eq5d5l Fitted values 
-.5 
1 
.5 
0 
5 10 15 20 25 
misery 
eq5d5l Fitted values 
5L
An EQ-5D-5L value set for England 
October 30th 2014 
Comparing 3L and 5L data 
3L value set 5L value set 
% logical 
inconsistencies 
4.89% 
(166 out of 3,395) 
8.43% 
(84 out of 996) 
% who do not give 
their lowest value to 
the worst health state 
29.19% 
(991 out of 3,395) 
28.92% 
(288 out of 996)
An EQ-5D-5L value set for England 
October 30th 2014 
Implications of the results 
• The 5L Value set for England has a lower range of values than 
the current UK EQ-5D value set 
• Higher minimum value for 55555 (5L) (-0.208) than 33333 
(3L) (-0.56): as expected, given known issues with the Dolan 
(1997) value set 
• The proportion of health states with negative values is 
considerably lower 
• No ‘N3’ term – it did not improve the model 
• Implies treatments for very severe conditions may have lower 
QALY gains than at present 
• The greater descriptive sensitivity of the EQ-5D-5L will be 
somewhat counteracted by the nature of the 5L value set 
compared to the previous 3L value set
An EQ-5D-5L value set for England 
October 30th 2014 
Implications of the results 
• For two dimensions, anxiety/depression and usual 
activities, the TTO results did not differentiate between 
levels 4 and 5 
• e.g. interventions that reduce the level of 
anxiety/depression from extreme to severe will show few 
QALY gains 
• Potential implications for other applications of the value 
set e.g. in the PROMs programme, where it is used to 
measure hospital performance
An EQ-5D-5L value set for England 
October 30th 2014 
Remaining research questions 
• This presentation has focussed on the value set for 
England – we have also collected data for Scotland, Wales 
and NI, and will be estimating a UK value set 
• How do values compare with other countries? Over a 
dozen 5L value set studies underway internationally, using 
a consistent methodology 
• Many remaining methodological issues…for example, 
– the effect of valuation full health vs. 11111 in the TTO 
– Describing health states ‘in context’ of the full health 
state descriptive system 
– DCE with duration 
– Remodelling the 3L value set with the new methods

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An EQ-5D-5L Value Set for England- Nancy Devlin and Ben Van Hout

  • 1. An EQ-5D-5L value set for England Nancy Devlin & Ben van Hout on behalf of the OHE & ScHARR research team OHE seminar London • October 30th 2014
  • 2. This report is independent research commissioned and funded by the NIHR/ Department of Health Policy Research Programme (‘EQ-5D-5L Value Set for England’ - 070/0073). The views expressed in this publication are those of the author(s) and not necessarily those of the Department of Health. Additional data have been used from the PRET study, funded by the MRC-NIHR Research Methodology Programme, and the PRET-AS study, funded by the EuroQol Group. Views expressed in the paper are those of the authors, and not the funding bodies. An EQ-5D-5L value set for England October 30th 2014 Disclaimer
  • 3. An EQ-5D-5L value set for England October 30th 2014 Content 1. Background 2. Aims 3. Study design 4. Data 5. Modelling 6. Key results and implications 7. Remaining research questions
  • 4. An EQ-5D-5L value set for England October 30th 2014 Background • EQ-5D-5L: 3,125 states cf. 243 in the EQ-5D • Requests for 5L use now supersedes 3L: an important instrument • Interim utilities available by mapping 5L states to 3L states, and using existing 3L value sets • But ultimately, ‘bespoke’ value sets required for 5L states • Values are generally required to be based on preferences of the general public (e.g. NICE 2013) • Using ‘stated preferences’ research methods
  • 5. 3L 5L Would we expect underlying values to be the same? 11111 11111 Yes 33333 55555 Not necessarily – mobility ‘extreme’ vs. ‘confined to bed’ 22222 33333 Not necessarily – ‘some’ vs. ‘moderate’ An EQ-5D-5L value set for England October 30th 2014
  • 6. An EQ-5D-5L value set for England October 30th 2014 Aims Aim: To produce a set of values for the EQ-5D-5L health state descriptive system, based on the preferences of the general public in England, for use in decisions based on EQ-5D-5L data We investigated the following questions: • What is the best method to generate an EQ-5D-5L Value Set which reflects the stated preferences of the English general public? • How can conceptually different types of preference data – Time Trade Off (TTO) and Discrete Choice Experiment (DCE) – be combined in modelling health state values? • How are extreme negative opinions about health states best handled? • How do people differ in their stated preferences for quality of life; and life and death?
  • 7. An EQ-5D-5L value set for England October 30th 2014 Study design • Research protocol developed by the EuroQol Group: EQ-VT • Stated preference data collected in face-to-face computer-assisted personal interviews • n = 1000 members of the adult general public of England, selected at random from residential postcodes • Sample recruitment sub-contracted to Ipsos MORI • Each participant valued 10 health states using TTO, randomly assigned from 86 health states in an underlying design; and seven DCE tasks, randomly assigned from 196 pairs of states • ‘Composite’ TTO approach: conventional TTO for values > 0 and ‘lead time’ TTO for values < 0 • The EuroQol Group’s Valuation Technology software (EQ-VT) was used to present the tasks and to capture participants’ responses
  • 8. An EQ-5D-5L value set for England October 30th 2014
  • 9. U(Hi) = (x/t) where t = 10 years An EQ-5D-5L value set for England October 30th 2014 TTO for values > 0 (states better than dead) Example shown: U(Hi) = 0.5
  • 10. Where t = 10 years, and lead time = 10 years, U(Hi) = (x-10)/20-10) and min value = -1 Example shown: U(Hi) = -0.5 An EQ-5D-5L value set for England October 30th 2014 TTO for values < 0 (states worse than dead)
  • 11. An EQ-5D-5L value set for England October 30th 2014 DCE task
  • 12. An EQ-5D-5L value set for England October 30th 2014 Data • Interviews conducted between Nov 2012 and May 2013 • 996 completed the valuation questionnaire (response rate approx. 40%) • Close attention paid to data quality: daily monitoring of uploaded data and follow-up with interviewers • Sample broadly representative of English adult general public, although a somewhat larger proportion of retired individuals and a smaller proportion of younger individuals • In modelling, we also incorporated DCE data from a methodological study (‘PRET’)
  • 13. Proportions choosing A and B based on relative An EQ-5D-5L value set for England October 30th 2014 DCE data 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% severities of A and B -10 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 Misery index of state A minus misery index of state B % B % A 0 1 -10 -5 0 5 10 delta sum of scores dif in misery
  • 14. An EQ-5D-5L value set for England October 30th 2014 TTO data • Fewer values < 0 (worse than dead) compared to Dolan (1997) value set – as expected. • Clusters of values at -1, 0, 0.5 and 1 • Logical inconsistencies (e.g. 55555 > than other states) • ‘Unusual’ valuations e.g. mild states being valued < 0 • Interviewer effects apparent
  • 15. 1 3 4 5 6 7 8 An EQ-5D-5L value set for England October 30th 2014 -0.10 -0.05 0.00 misery coefficient group TTO groups group N all at 1 18 0<all<1 217 -1<all<1 113 -1=<all<1 53 0<all<=1 194 -1<all<=1 55 -1=<all<=1 52
  • 16. An EQ-5D-5L value set for England October 30th 2014 11121 mean= 0.876 value density -1.0 0.0 0.5 1.0 0 20 40 12111 mean= 0.868 value density -1.0 0.0 0.5 1.0 0 20 40 11211 mean= 0.866 value density -1.0 0.0 0.5 1.0 0 20 40 11221 mean= 0.862 value density -1.0 0.0 0.5 1.0 0 10 20 21111 mean= 0.83 value density -1.0 0.0 0.5 1.0 0 20 40 12121 mean= 0.823 value density -1.0 0.0 0.5 1.0 0 5 15 11112 mean= 0.815 value density -1.0 0.0 0.5 1.0 0 20 40 11122 mean= 0.806 value density -1.0 0.0 0.5 1.0 0 5 15 11212 mean= 0.801 value density -1.0 0.0 0.5 1.0 0 5 15 Distributions, by state
  • 17. An EQ-5D-5L value set for England October 30th 2014 54231 mean= 0.473 value density -1.0 0.0 0.5 1.0 0 4 8 12 33253 mean= 0.465 value density -1.0 0.0 0.5 1.0 0 5 15 12334 mean= 0.463 value density -1.0 0.0 0.5 1.0 0 4 8 23514 mean= 0.46 value density -1.0 0.0 0.5 1.0 0 4 8 12 43514 mean= 0.443 value density -1.0 0.0 0.5 1.0 0 4 8 15151 mean= 0.436 value density -1.0 0.0 0.5 1.0 0 5 10 15 23152 mean= 0.435 value density -1.0 0.0 0.5 1.0 0 5 15 31525 mean= 0.428 value density -1.0 0.0 0.5 1.0 0 5 10 31524 mean= 0.423 value density -1.0 0.0 0.5 1.0 0 2 4 6 8 Distributions, by state
  • 18. An EQ-5D-5L value set for England October 30th 2014 Distributions, by state 21444 mean= 0.148 value density -1.0 -0.5 0.0 0.5 1.0 0 10 20 53244 mean= 0.148 value density -1.0 -0.5 0.0 0.5 1.0 0 5 15 52455 mean= 0.12 value density -1.0 -0.5 0.0 0.5 1.0 0 5 10 43555 mean= 0.119 value density -1.0 -0.5 0.0 0.5 1.0 0 5 10 15 55555 mean= 0.016 value density -1.0 -0.5 0.0 0.5 1.0 0 100 NA mean= NA value density -1.0 -0.5 0.0 0.5 1.0 -1.0 0.0 1.0
  • 19. An EQ-5D-5L value set for England October 30th 2014 Descriptive statistics minimum value minv Frequency -1.0 -0.5 0.0 0.5 1.0 0 50 100 150 maximum value maxv Frequency 0.0 0.2 0.4 0.6 0.8 1.0 0 200 400 standard deviation of values (varv^0.5) Frequency 0.0 0.2 0.4 0.6 0.8 1.0 0 50 100 150 range of values used range Frequency 0.0 0.5 1.0 1.5 2.0 0 50 100 150
  • 20. • Overall, English 5L valuation data have acceptable ‘face validity’: the worse the health state, the lower the mean and median value An EQ-5D-5L value set for England October 30th 2014 Face validity of the data
  • 21. An EQ-5D-5L value set for England October 30th 2014 Interpretation of the data • Evidence from this study suggests that it is harder to imagine, differentiate between, and value health states described in terms of 5L rather than 3L • More subtle differences between states • Cognitive burden • Initial model results suggested respondents did not differentiate between ‘severe’ (level 4) and ‘extreme’ (level 5) problems on the dimension anxiety/depression
  • 22. Interpretation of the data • Our process for examining the individual-level An EQ-5D-5L value set for England October 30th 2014 data: • Let’s look at all our respondents • Put expected value according to DCE on x axis • Put values on Y axis • And stare at 1,000 graphs
  • 23. An EQ-5D-5L value set for England October 30th 2014 Examination of individual-level data
  • 24. An EQ-5D-5L value set for England October 30th 2014 Examination of individual-level data
  • 25. An EQ-5D-5L value set for England October 30th 2014 Real or censored???
  • 26. An EQ-5D-5L value set for England October 30th 2014 Interviewer effects Interviewer Completed interviews Exhaust lead time (value = -1) State worse than dead (value < 0) State equal to dead (value = 0) Non-trade (value = 1) UK15354 33 6% 14% 15% 15% UK12790 30 1% 5% 22% 3% UK05524 29 0% 1% 6% 8% UK03958 28 3% 10% 25% 10% UK04526 28 1% 16% 8% 2% UK04512 26 6% 20% 10% 3% UK13185 25 0% 3% 24% 8% UK14661 25 4% 12% 14% 36% UK04523 24 2% 10% 9% 20% UK02515 22 1% 7% 6% 5% UK15247 20 5% 12% 27% 13% UK12648 19 5% 14% 17% 27% UK15835 19 12% 19% 2% 42% UK02957 18 3% 6% 12% 2% UK03921 16 0% 0% 4% 20% UK04405 16 13% 33% 13% 4% UK06347 16 6% 11% 27% 19% UK12499 16 0% 2% 6% 17% UK04587 15 2% 5% 7% 13%
  • 27. An EQ-5D-5L value set for England October 30th 2014 Decisions regarding the data • Excluded 23 respondents who gave all 10 health states the same value; and 61 respondents who valued 55555 (misery score = 25) no lower than the value they gave to the mildest health state included in their block (misery score = 6) • The core modelling dataset includes 912 respondents, with 10 TTO observations for each • Censored 105 individuals/477 zeros with >2 states at zero (that is out of 1,315 zeros) • Censored 68 individuals/142 data points with inconsistent negative data
  • 28. An EQ-5D-5L value set for England October 30th 2014 Modelling • The main specifications included models with 5, 9, 10 and 20 parameters (four parameters for each of the five dimensions reflecting a utility decrement for each severity level) • All models were estimated for both TTO and DCE data, and ‘hybrids’ of the these • Heterogeneity explored via random coefficient models, which estimate value functions for every individual member of the sample • Values at -1 treated as censored
  • 29. An EQ-5D-5L value set for England October 30th 2014 The hybrid likelihood General • You have a statistical model that generates the data, holding unknown parameters • You have the data • You calculate for every set of parameters the probability that the data occur • The likelihood is the product of all probabilities • You calculate the parameters at which this product of probabilities (likelihood) is highest Specific • There is a likelihood for the DCE-data – Assuming normal errors • There is a likelihood for the TTO-data – Assuming normal errors • The combined likelihood is the product of both likelihoods
  • 30. 5 parameters 9 parameters 10 parameters 20 parameters mobility self-care usual activities pain/discomfort anxiety/ depression An EQ-5D-5L value set for England October 30th 2014 Initial model results, DCE only mobility 0.337 (0.306 - 0.369) 1.574 (0.884 - 2.334) 0.278 (0.185 - 0.398) slight 0.349 (0.235 - 0.460) self-care 0.241 (0.214 - 0.268) 1.222 (0.689 - 1.805) 0.217 (0.144 - 0.315) moderate 0.441 (0.310 - 0.577) usual activities 0.203 (0.175 - 0.232) 0.994 (0.555 - 1.474) 0.176 (0.117 - 0.257) severe 1.132 (1.002 - 1.269) pain/discomfort 0.406 (0.377 - 0.436) 1.793 (1.017 - 2.655) 0.312 (0.208 - 0.446) unable 1.441 (1.298 - 1.590) anxiety/depression 0.394 (0.364 - 0.424) 1.777 (1.002 - 2.619) 0.309 (0.205 - 0.442) slight 0.268 (0.145 - 0.388) slight 0.214 (0.132 - 0.358) 1.187 (0.758 - 1.753) moderate 0.406 (0.272 - 0.541) moderate 0.256 (0.159 - 0.426) 1.425 (0.929 - 2.106) severe 1.007 (0.874 - 1.145) severe 0.788 (0.503 - 1.294) 4.385 (2.961 - 6.234) unable 1.049 (0.920 - 1.180) unable/extreme 0.912 (0.583 - 1.496) 5.006 (3.357 - 7.127) slight 0.213 (0.102 - 0.326) extreme 5.134 (3.450 - 7.351) moderate 0.216 (0.096 - 0.335) severe 0.796 (0.672 - 0.923) unable 0.816 (0.689 - 0.949) slight 0.328 (0.212 - 0.446) moderate 0.376 (0.248 - 0.499) severe 1.198 (1.065 - 1.331) extreme 1.587 (1.449 - 1.731) slight 0.331 (0.205 - 0.454) moderate 0.376 (0.252 - 0.506) severe 1.355 (1.220 - 1.494) extreme 1.470 (1.329 - 1.611) Deviance 7750 (7745 - 7757) 7516 (7510 - 7525) 7516 (7510 - 7527) Deviance 7502 (7492 - 7516) DIC 7755 7517 7523 DIC 7522
  • 31. 5 parameters 9 parameters 10 parameters 20 parameters constant 1.109 (1.086 - 1.131) 0.874 (0.858 - 0.889) 0.884 (0.870 - 0.899) constant 0.832 (0.816 - 0.837) mobility 0.037 (0.030 - 0.045) 0.266 (0.215 - 0.323) 0.209 (0.176 - 0.257) slight -0.021 -(0.039 - -0.015) self-care 0.035 (0.028 - 0.042) 0.273 (0.222 - 0.337) 0.208 (0.175 - 0.255) moderate 0.008 -(0.018 - 0.017) usual activities 0.040 (0.033 - 0.048) 0.252 (0.208 - 0.308) 0.194 (0.162 - 0.241) severe 0.141 (0.108 - 0.153) pain/discomfort 0.072 (0.063 - 0.081) 0.401 (0.334 - 0.485) 0.323 (0.275 - 0.392) unable 0.210 (0.175 - 0.221) anxiety/depression 0.057 (0.049 - 0.065) 0.312 (0.253 - 0.382) 0.261 (0.223 - 0.317) slight -0.005 -(0.027 - 0.002) slight 0.111 (0.080 - 0.150) 0.159 (0.120 - 0.202) moderate 0.031 (0.003 - 0.041) moderate 0.225 (0.175 - 0.279) 0.282 (0.221 - 0.344) severe 0.102 (0.068 - 0.114) severe 0.644 (0.539 - 0.756) 0.838 (0.678 - 0.953) unable 0.196 (0.166 - 0.207) unable/extreme 0.802 (0.670 - 0.935) 1.094 (0.901 - 1.258) slight 0.000 -(0.019 - 0.007) extreme 0.981 (0.789 - 1.125) moderate 0.020 -(0.006 - 0.029) severe 0.123 (0.093 - 0.134) unable 0.158 (0.124 - 0.170) slight -0.004 -(0.022 - 0.002) moderate 0.047 (0.022 - 0.056) severe 0.269 (0.233 - 0.282) extreme 0.304 (0.260 - 0.320) slight 0.016 -(0.003 - 0.022) moderate 0.060 (0.031 - 0.072) severe 0.246 (0.211 - 0.259) extreme 0.235 (0.202 - 0.247) mobility self-care usual activities pain/ discomfort anxiety/ depression sigma 1.510 (1.235 - 1.775) 3.074 (2.659 - 3.567) 3.131 (2.664 - 3.650) sigma 0.931 (0.805 - 1.073) Deviance 3153 (2914 - 3422) -3448 -(3967 - -2970) -4673 -(5200 - -4104) Deviance -11006 -(11860 - -10200) DIC 4534 -989 -2704 DIC -4951 An EQ-5D-5L value set for England October 30th 2014 Initial model results, TTO only • DIC lowest for 10-parameter model • Unexpected coefficient for level 5 on anxiety/depression
  • 32. 5 parameters 9 parameters 10 parameters 20 parameters constant 1.180 (1.150 -1.209) 0.890 (0.863 -0.913) 0.892 (0.866 -0.917) constant 0.881 (0.853 -0.912) mobility -0.054 -(0.059 --0.050) 0.249 (0.154 -0.333) 0.157 (0.097 -0.271) slight -0.051 -(0.068 --0.035) self-care -0.038 -(0.043 --0.032) 0.191 (0.117 -0.256) 0.118 (0.073 -0.205) moderate -0.065 -(0.085 --0.047) mobility usual activities -0.035 -(0.040 --0.029) 0.163 (0.100 -0.222) 0.101 (0.062 -0.175) severe -0.180 -(0.198 --0.162) pain/discomfort -0.070 -(0.076 --0.065) 0.301 (0.186 -0.399) 0.198 (0.121 -0.338) unable -0.228 -(0.248 --0.210) anxiety/depression -0.067 -(0.073 --0.063) 0.287 (0.177 -0.382) 0.188 (0.116 -0.326) slight -0.041 -(0.058 --0.025) slight -0.201 -(0.310 --0.138) -0.323 -(0.504 --0.174) moderate -0.063 -(0.082 --0.045) self-care moderate -0.267 -(0.407 --0.188) -0.428 -(0.658 --0.234) severe -0.150 -(0.168 --0.131) severe -0.800 -(1.216 --0.574) -1.276 -(1.932 --0.696) unable -0.169 -(0.187 --0.152) unable/extreme -0.914 -(1.388 --0.658) -1.522 -(2.308 --0.822) slight -0.038 -(0.054 --0.021) extreme -1.414 -(2.138 --0.775) moderate -0.039 -(0.058 --0.021) usual activities pain/ discomfort anxiety/ depression An EQ-5D-5L value set for England October 30th 2014 Initial results from the hybrid model • Before addressing censoring at 1 severe -0.132 -(0.150 --0.114) unable -0.136 -(0.154 --0.117) slight -0.050 -(0.067 --0.032) moderate -0.062 -(0.080 --0.044) severe -0.206 -(0.225 --0.186) extreme -0.258 -(0.279 --0.239) slight -0.057 -(0.075 --0.039) moderate -0.075 -(0.094 --0.056) severe -0.230 -(0.252 --0.209) extreme -0.238 -(0.259 --0.219) constant DCE 0.023 -(0.077 -0.096) -0.119 -(0.174 --0.063) -0.120 -(0.170 --0.066) constant DCE -0.119 -(0.175 --0.064) slope DCE 5.535 (4.223 -7.404) -5.936 -(6.325 --5.558) -5.935 -(6.324 --5.542) slope DCE -6.055 -(6.497 --5.632) Deviance 21241 (21230 -21250) 20934 (20930 -20950) 20932 (20920 -20940) Deviance 17806 (17790 -17820) DIC 21249 20917 20877 DIC 17830
  • 33. An EQ-5D-5L value set for England October 30th 2014 Issues with the TTO results • Lower parameter for anxiety-depression level 5 than for anxiety/depression level 4 • Brute force • Heterogeneity • Latent distributions • Low value of the intercept • Error distributions
  • 34. Heterogeneity • The coefficients beta which reflect weights for dimensions and levels are normally distributed over the population • The shape of the value as a function of x’beta An EQ-5D-5L value set for England October 30th 2014 follows a: – Normal distribution – Lognomal distribution – Multinomial distribution – (3 latent classes) 1 0.5 0 -0.5 -1 -1.5 value x'beta
  • 35. An EQ-5D-5L value set for England October 30th 2014 Parameter estimates 0.300 0.250 0.200 0.150 0.100 0.050 0.000 0.350 0.300 0.250 0.200 0.150 0.100 0.050 0.000 -0.050 slope ~ normal slight moderate severe unable/extreme 0.600 0.500 0.400 0.300 0.200 0.100 0.000 -0.100 slope ~ lognormal slight moderate severe unable/extreme 3.500 3.000 2.500 2.000 1.500 1.000 0.500 0.000 -0.500 slope ~ multinomial slight moderate severe unable/extreme -0.050 homogeneous TTO slight moderate severe unable/extreme
  • 36. An EQ-5D-5L value set for England October 30th 2014 The low value of the constant
  • 37. Are (have) we (been) doing this correctly? An EQ-5D-5L value set for England October 30th 2014 • Variation is caused by: • Differences of opinion • Errors • You can value at 0.5 or 0, but you can’t value at 1.5 or 2 • If it is errors, and not opinions, which are driving the lower values, the mean may not be the right measure to reflect ‘average’ opinion • There is error-censoring at 1
  • 38. An EQ-5D-5L value set for England October 30th 2014 The low value of the constant
  • 39. An EQ-5D-5L value set for England October 30th 2014 TTO value by number of moves -1 -0.95 -0.9 -0.85 -0.8 -0.7 -0.65 -0.6 -0.55 -0.5 -0.5 -0.4 -0.4 -0.3 -0.3 -0.2 -0.2 -0.1 -0.1 0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 0.6 0.6 0.7 0.7 0.8 0.8 0.9 0.9 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 223 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 596 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 222 0 0 0 0 0 0 0 0 0 865 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 123 0 0 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 275 0 0 0 279 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 48 0 0 0 14 0 0 0 0 0 0 0 6 0 2 0 0 0 242 0 0 44 0 48 0 0 337 0 0 0 0 0 0 0 0 0 0 0 55 0 0 10 0 5 0 0 8 0 0 0 0 0 0 1 0 0 187 0 0 43 2 0 67 0 5 52 0 0 385 0 0 0 0 0 0 0 0 20 0 5 2 0 7 0 0 6 0 0 17 0 0 0 1 0 89 1 0 20 4 0 33 7 0 6 37 0 17 36 0 0 313 0 0 0 0 30 0 0 1 0 3 1 0 0 3 0 1 2 0 0 11 0 0 71 0 18 7 1 19 4 2 3 28 3 1 5 18 0 16 42 0 457 0 0 71 0 1 0 2 2 0 0 2 0 0 1 0 0 0 2 0 11 45 0 13 0 20 1 1 2 8 5 13 0 7 3 3 5 19 0 40 0 645 305 0 1 0 1 0 0 1 0 0 0 2 0 0 0 2 0 4 0 29 7 7 1 2 0 5 2 1 0 11 0 4 1 7 2 7 2 4 105 0 0 1 0 0 0 1 1 0 0 2 0 0 0 2 0 1 0 0 2 1 3 3 1 0 1 2 0 2 1 5 3 2 1 5 0 3 1 12 2 18 4 0 2 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 2 6 0 2 1 3 1 3 0 1 1 3 0 3 0 0 0 7 0 4 12 8 2 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 0 5 0 2 0 0 0 1 1 2 1 2 0 0 0 1 0 0 0 5 6 4 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 3 1 0 0 0 0 3 0 1 0 0 1 2 0 1 1 1 0 4 3 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 1 1 1 1 0 1 0 6 0 2 0 2 0 0 0 0 2 15 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 0 1 1 0 0 0 0 4 0 6 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  • 40. An EQ-5D-5L value set for England October 30th 2014 The final EQ- 5D-5L value set model EQ-5D-5L value set for England constant 1.003 Mobility slight 0.057 moderate 0.074 severe 0.207 unable 0.255 Self care slight 0.059 moderate 0.083 severe 0.176 unable 0.208 Usual activities slight 0.048 moderate 0.067 severe 0.165 unable 0.165 Pain/discomfort slight 0.059 moderate 0.079 severe 0.244 extreme 0.298 Anxiety/depression slight 0.072 moderate 0.099 severe 0.282 extreme 0.282
  • 41. An EQ-5D-5L value set for England October 30th 2014 EQ-5D-5L value set for England Example: the value for health state 23245 constant 1.000 Constant =1.000 Mobility = 2 0.057 Minus MO level 2 -0.057 Mobility = 3 0.074 Mobility = 4 0.207 Mobility = 5 0.255 Self care = 2 0.059 Self care = 3 0.083 Minus SC level 3 -0.083 Self care = 4 0.176 Self care = 5 0.208 Usual activities = 2 0.048 Minus UA level 2 -0.048 Usual activities = 3 0.067 Usual activities = 4 0.165 Usual activities = 5 0.165 Pain/discomfort = 2 0.059 Pain/discomfort = 3 0.079 Pain/discomfort = 4 0.244 Minus PD level 4 -0.244 Pain/discomfort = 5 0.298 Anxiety/depression = 2 0.072 Anxiety/depression = 3 0.099 Anxiety/depression = 4 0.282 Anxiety/depression = 5 0.282 Minus AD level 5 -0.282 State 23245 =0.286 Calculating values: a worked example
  • 42. An EQ-5D-5L value set for England October 30th 2014 Comparison with 3L and crosswalk 5L value set Crosswalk value set 3L value set % health states worse than dead 3.2% (100 out of 3,125) 26.66% (833 out of 3,125) 34.57% (84 out of 243) Preferences regarding dimensions (from the most important to the least important) Pain/Discomfort Pain/Discomfort Pain/Discomfort Anxiety/Depression Mobility Mobility Mobility Anxiety/Depression Anxiety/Depression Self-care Self-care Self-care Usual Activities Usual Activities Usual Activities Value of 55555 (33333) -0.208 -0.49 -0.594 Value of 11112* 0.928 0.879 0.848 Value of 11121* 0.941 0.837 0.796 Value of 11211* 0.952 0.906 0.883 Value of 12111* 0.941 0.846 0.815 Value of 21111* 0.943 0.877 0.850 Minimum value -0.208 -0.49 -0.594 Maximum value 1 1 1 Range of values [-0.208, 1] [-0.594, 1] [-0.594, 1]
  • 43. 3L crosswalk An EQ-5D-5L value set for England October 30th 2014 Distributions of values 1 1.5 .5 0 Density -.5 0 .5 1 value 2 1 1.5 .5 0 Density 1 .5 -.5 0 .5 1 value 2 0 1.5 Density -.5 0 .5 1 value 5L
  • 44. 3L crosswalk An EQ-5D-5L value set for England October 30th 2014 Values and ‘misery scores’ -.5 1 .5 0 5 10 15 misery eq5d3l Fitted values -.5 1 .5 0 5 10 15 20 25 misery eq5d5l Fitted values -.5 1 .5 0 5 10 15 20 25 misery eq5d5l Fitted values 5L
  • 45. An EQ-5D-5L value set for England October 30th 2014 Comparing 3L and 5L data 3L value set 5L value set % logical inconsistencies 4.89% (166 out of 3,395) 8.43% (84 out of 996) % who do not give their lowest value to the worst health state 29.19% (991 out of 3,395) 28.92% (288 out of 996)
  • 46. An EQ-5D-5L value set for England October 30th 2014 Implications of the results • The 5L Value set for England has a lower range of values than the current UK EQ-5D value set • Higher minimum value for 55555 (5L) (-0.208) than 33333 (3L) (-0.56): as expected, given known issues with the Dolan (1997) value set • The proportion of health states with negative values is considerably lower • No ‘N3’ term – it did not improve the model • Implies treatments for very severe conditions may have lower QALY gains than at present • The greater descriptive sensitivity of the EQ-5D-5L will be somewhat counteracted by the nature of the 5L value set compared to the previous 3L value set
  • 47. An EQ-5D-5L value set for England October 30th 2014 Implications of the results • For two dimensions, anxiety/depression and usual activities, the TTO results did not differentiate between levels 4 and 5 • e.g. interventions that reduce the level of anxiety/depression from extreme to severe will show few QALY gains • Potential implications for other applications of the value set e.g. in the PROMs programme, where it is used to measure hospital performance
  • 48. An EQ-5D-5L value set for England October 30th 2014 Remaining research questions • This presentation has focussed on the value set for England – we have also collected data for Scotland, Wales and NI, and will be estimating a UK value set • How do values compare with other countries? Over a dozen 5L value set studies underway internationally, using a consistent methodology • Many remaining methodological issues…for example, – the effect of valuation full health vs. 11111 in the TTO – Describing health states ‘in context’ of the full health state descriptive system – DCE with duration – Remodelling the 3L value set with the new methods