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. Author manuscript; available in PMC: 2011 May 2.
Published in final edited form as: J Drug Issues. 2010 WINTER;40(1):195–220. doi: 10.1177/002204261004000111

Table 2.

Model Parameterization Comparisons

Approach 1
Varying Variance
Approach 2
Invariant Variance
Approach 3
No Variance
Group 1: Escalators
Intercept µ 1.36 (.10) 1.22 (.15) 1.31 (.11)
Intercept σ .19 (.03) .12 (.02) = 0.00
Slope µ .30 (.05) .55 (.07) .29 (.04)
Slope σ .002 (.000) .001(.00)= 0.00
Quadratic µ −.021 (.004) −.042 (.005) −.021 (.002)
Class Proportion 24.4% 9.3% 17.6%

Group 2: Decliners
Intercept µ 3.67 (.21) 3.85 (.17) 3.97 (.19)
Intercept σ .19 (.03) .12 (.02) = 0.00
Slope µ −.32 (.05) −.31 (.05) −.23 (.07)
Slope σ .002 (.000) .001 (.00)= 0.00
Quadratic µ .013 (.003) .012 (.003) .003 (.005)
Class Proportion 11.1% 10.0% 6.9%

Group 3: Low Null Growth
Intercept µ 1.32 (.05) 1.36 (.04) 1.22 (.02)
Intercept σ .08 (.03) .12 (.02) = 0.00
Slope µ .04 (.009) .06 (.01) .05 (.01)
Slope σ .000 (.000) .001(.00)= 0.00
Quadratic µ −.004 (.001) −.005 (.001) −.004 (.001)
Class Proportion 64.5% 80.7% 57.2%

Group 4: High Escalator
Intercept µ 1.87 (.25)
Intercept σ 0.00
Slope µ .47 (.09)
Slope σ NA NA 0.00
Quadratic µ −.035 (.007)
Class Proportion 5.4%

Group 5: Low Decliner
Intercept µ 2.47 (.17)
Intercept σ 0.00
Slope µ −.10 (.06)
Slope σ NA NA 0.00
Quadratic µ 0.00(.004)
Class Proportion 13.0%
0

Fixed to zero

=

Fixed to be equal across class