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Table 4 Conditional logit results: Model 1 (unconstrained), Model 2 (raked and unconstrained), and Model 3 (montonicity imposed)

From: The FACT-8D, a new cancer-specific utility algorithm based on the Functional Assessment of Cancer Therapies-General (FACT-G): a Canadian valuation study

Mean   Model 1 Model 2 Model 3
Coefficienta (robust SE) Coefficienta (robust SE) Coefficienta (robust SE)
Duration Linear 0.331 (0.013)*** 0.345 (0.026)*** 0.366 (0.023)***
Pain × Durationa 2 0.003 (0.007) 0.014 (0.012) 0
3  − 0.020 (0.008)**  − 0.025 (0.018)***  − 0.021 (0.015)
4  − 0.060 (0.008)***  − 0.062 (0.015)***  − 0.072 (0.014)***
5  − 0.136 (0.007)***  − 0.148 (0.015)***  − 0.149 (0.014)***
Fatigue × Durationa 2  − 0.002 (0.007)  − 0.030 (0.013)**  − 0.020 (0.011)
3  − 0.021 (0.006)***  − 0.038 (0.013)***  − 0.028 (0.011)**
4  − 0.040 (0.007)***  − 0.048 (0.015)***  − 0.053 (0.014)***
5  − 0.050 (0.007)***  − 0.069 (0.013)***  − 0.060 (0.012)***
Nausea × Durationa 2  − 0.032 (0.006)***  − 0.036 (0.013)***  − 0.036 (0.011)***
3  − 0.044 (0.006)***  − 0.047 (0.011)***  − 0.055 (0.011)***
4  − 0.061 (0.006)***  − 0.063 (0.013)***  − 0.059 (0.012)***
5  − 0.089 (0.008)***  − 0.103 (0.015)***  − 0.109 (0.014)***
Sleep × Durationa 2 0.020 (0.006)*** 0.024 (0.012)** 0
3 0.015 (0.007)** 0.036 (0.015)** 0
4  − 0.040 (0.006)***  − 0.019 (0.013)  − 0.028 (0.008)***
5  − 0.006 (0.007) 0.010 (0.015)  − 0.028 (0.008)***
Work × Durationa 2  − 0.009 (0.008)  − 0.026 (0.016)  − 0.021 (0.014)
3  − 0.014 (0.006)**  − 0.040 (0.016)**  − 0.033 (0.011)***
4  − 0.034 (0.007)***  − 0.039 (0.013)***  − 0.033 (0.011)***
5  − 0.076 (0.006)***  − 0.088 (0.013)***  − 0.085 (0.012)***
Support × Durationa 2  − 0.023 (0.007)***  − 0.034 (0.012)***  − 0.008 (0.008)
3  − 0.001 (0.006) 0.009 (0.012)***  − 0.008 (0.008)
4  − 0.045 (0.006)***  − 0.038 (0.013)***  − 0.044 (0.012)***
5  − 0.067 (0.006)***  − 0.064 (0.011)***  − 0.072 (0.010)***
Sadness × Durationa 2  − 0.009 (0.007) 0.001 (0.012) 0
3  − 0.035 (0.007)***  − 0.050 (0.014)***  − 0.047 (0.010)***
4  − 0.038 (0.006)***  − 0.035 (0.013)***  − 0.047 (0.010)***
5  − 0.058 (0.007)***  − 0.069 (0.013)***  − 0.068 (0.012)***
Worry my health will get worse × Durationa 2  − 0.031 (0.006)***  − 0.046 (0.011)***  − 0.035 (0.010)***
3  − 0.019 (0.007)***  − 0.021 (0.012)  − 0.035 (0.010)***
4  − 0.039 (0.007)***  − 0.050 (0.014)***  − 0.043 (0.011)***
5  − 0.049 (0.007)***  − 0.033 (0.015)***  − 0.043 (0.011)***
Log-likelihood  − 15,009.31  − 14,602.54  − 14,655.46
Parameters 33 33 23
AIC 30,084.62 29,271.07 29,540.03
BIC 30,375.13 29,560.89 29,724.46
  1. aThe coefficient for each level of each dimension was estimated as the interaction of that level with duration
  2. Levels of statistical significant: ***1%; **5%
  3. AIC Akaike information criterion, BIC Bayesian information criterion