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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