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. 2023 Apr 3;32(8):2403–2413. doi: 10.1007/s11136-023-03402-4

Table 3.

AAQ item characteristics

Item Monoto-nicity GRM fit GRM item parametersa
Item ID Item description Hi S-X2
p-valueb
a b1 b2 b3 b4 b5
AAQ_01 Ascending stairs 0.613 0.369 2.743 0.126 0.960 1.954 2.798
AAQ_02 Descending stairs 0.580 0.232 2.386  − 0.191 0.698 1.802 2.275 3.096
AAQ_03 Walking outside on a flat surface 0.628 0.030 2.857 0.130 1.168 1.443 2.193 3.259
AAQ_04 Walking outside on uneven terrain 0.634 0.667 2.964 0.156 1.079 1.429 2.444
AAQ_05 Walking inside: starting walking after at least 15 min sitting 0.629 0.069 2.467  − 0.526 0.879 2.173 3.363
AAQ_06 Ascending a bridge 0.657 0.499 3.453 0.087 1.326 2.123 2.928
AAQ_07 Descending a bridge 0.648 0.035 3.132 0.005 1.406 2.221 3.092
AAQ_08 Picking up an object from floor 0.584 0.030 2.260 0.092 1.033 1.710 2.869
AAQ_09 Rising from the floor 0.560 0.073 1.983  − 0.240 0.987 1.859
AAQ_10 Rising from a chair 0.630 0.284 2.693  − 0.346 1.230 2.024 3.526
AAQ_11 Sitting down on a chair 0.620 0.480 2.734  − 0.105 1.312 1.823 3.690
AAQ_12 Rising from a sofa 0.669 0.158 2.789  − 0.886 0.590 1.553 2.629
AAQ_13 Sitting down on a sofa 0.633 0.012 2.779  − 0.400 0.898 1.606 2.800
AAQ_14 Rising from a toilet 0.633 0.385 2.964 0.072 0.929 2.002 3.195
AAQ_15 Sitting down on a toilet 0.622 0.751 2.727 0.186 1.126 2.234 3.430
AAQ_16 Putting on shoes 0.499 0.654 1.403  − 1.561  − 0.259 1.433 3.055
AAQ_17 Taking off shoes 0.461 0.008 1.289  − 0.461 0.505 3.144

Hi Loevinger’s Homogeneity coefficient (on item level), GRM graded response model

aIn GRMs, one slope and several (number of response options minus 1) threshold parameters are estimated for each item. While the slope parameter (a) specifies how strong an item is associated with the latent trait, threshold parameters (bj) define the locations on the latent trait continuum at which an item responses are most informative

bS-X2 item fit statistics were evaluated after adjusting for multiple testing (p < 0.003)