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. 2018 Dec 26;13(12):e0209344. doi: 10.1371/journal.pone.0209344

Table 2. Estimation results for C-TTO, DCE, and hybrid models (for full sample).

C-TTO DCE Hybrid
Independent variables Tobit GLS model censored at -1 Conditional logistic model, rescaled using theta derived from hybrid-Tobit model censored at -1 With C-TTO values censored at -1
without considering heteroscedasticity and constant
Mobility (MO)
    No to slight problem 0.1054 (0.0132) 0.0796 (0.0162) 0.1076 (0.0112)
    Slight to moderate problems 0.1204 (0.0148) 0.0939 (0.0170) 0.0920 (0.0124)
    Moderate to severe problems 0.1336 (0.0163) 0.1631 (0.0158) 0.1656 (0.0125)
    Severe to extreme problems 0.0967 (0.0159) 0.1517 (0.0168) 0.1115 (0.0122)
Self-care (SC)
    No to slight problem 0.0816 (0.0127) 0.0111 (0.0176) 0.0757 (0.0110)
    Slight to moderate problems 0.0947 (0.0158) 0.0557 (0.0175) 0.0565 (0.0127)
    Moderate to severe problems 0.0714 (0.0161) 0.1604 (0.0174) 0.1322 (0.0129)
    Severe to extreme problems 0.0718 (0.0142) 0.0749 (0.0162) 0.0597 (0.0117)
Usual Activities (UA)
    No to slight problem 0.0569 (0.0133) 0.0489 (0.0161) 0.0726 (0.0111)
    Slight to moderate problems 0.0883 (0.0151) 0.0117 (0.0163) 0.0508 (0.0119)
    Moderate to severe problems 0.1504 (0.0163) 0.1794 (0.0165) 0.1568 (0.0124)
    Severe to extreme problems 0.0283 (0.0158) 0.1005 (0.0170) 0.0703 (0.0124)
Pain/Discomfort (PD)
    No to slight problem 0.0790 (0.0118) 0.0764 (0.0167) 0.0868 (0.0108)
    Slight to moderate problems 0.1006 (0.0164) 0.0342 (0.0166) 0.0710 (0.0124)
    Moderate to severe problems 0.1636 (0.0155) 0.2038 (0.0167) 0.1824 (0.0124)
    Severe to extreme problems 0.0901 (0.0169) 0.1681 (0.0175) 0.1132 (0.0127)
Anxiety/depression (AD)
    No to slight problem 0.0579 (0.0134) 0.0322 (0.0173) 0.0637 (0.0113)
    Slight to moderate problems 0.1480 (0.0157) 0.1143 (0.0166) 0.1192 (0.0125)
    Moderate to severe problems 0.1406 (0.0150) 0.1453 (0.0176) 0.1572 (0.0124)
    Severe to extreme problems 0.0790 (0.0140) 0.1013 (0.0170) 0.0811 (0.0119)
Range of possible values [-0.9583, 1] [-1.0065, 1] [-1.0259, 1]
Log likelihood -6180.705 -3076.2541 -11197.917
AIC 12405.410 6192.5083 22439.834
BIC 12564.038 6328.5166 22609.660
RMSE 0.4729 NA NA
MAE 0.3601 NA NA

Model estimates are presented as coefficient (SE).

p value <0.01.

AIC, Akaike information criteria; BIC, Bayesian information criteria; GLS, generalized least squares; MAE, mean absolute error; OLS, ordinary least squares; RMSE, root mean square error.