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Table 4 Comparison of sum score, health-state estimates based on Rasch (holistic MAPR) model, MAPR model (LLTM). The absolute differences in outcome between the Rasch model (holistic MAPR) and the LLTM (MAPR) model are due to scaling and should be ignored

From: A preference-based item response theory model to measure health: concept and mathematics of the multi-attribute preference response model

EQ-5D-3 L health statea Sum score Rasch (Holistic MAPR) model MAPR (LLTM) model
11111 2 b 0.000
11211 57 4.761 −0.548
21111 60 4.555 −0.274
11121 63 4.358 −0.752
11112 76 3.575 − 1.527
12111 79 3.406 −1.626
11113 122 0.956 −3.006
11131 129 0.482 −3.548
11113 130 0.410 −3.352
13311 142 −0.605 −4.306
22222 142 −0.605 −4.728
32211 151 −1.733 −5.083
11133 152 −1.903 −6.900
32313 156 −2.780 −9.366
33323 157 −3.087 −12.045
23232 157 −3.087 −9.451
32223 159 −3.960 −9.187
33333 160 −4.742 −14.841
  1. aCode is representing the five attributes, each with three levels, of the EQ-5D-3 L instrument
  2. bNo estimate is obtained since the data matrix is ill-conditioned when this state is included