A New Type 1 Alpha Power Family of Distributions and Modeling Data with Correlation, Overdispersion, and Zero-Inflation in the Health Data Sets
Table 4
Comparison of the P, ZIP, PN, ZIPN, PG, ZIPG, PNG, and ZIPNG models.
Effect
Parameter
P
ZIP
PN
Estimate (SE.)
Estimate (SE.)
Estimate (SE.)
Intercept
1.840 (0.066)
2.179 (0.069)
1.238 (0.282)
Slope
−0.094 (0.008)
−0.089 (0.009)
−0.072 (0.009)
Inflation intercept
−1.468 (0.163)
Inflation slope
0.059 (0.015)
St. dev. RE
1.004 (0.100)
Ratio slopes
7.046 (2.362)
−14.362 (10.644)
4.996 (1.654)
−2logL
6710.6
5815.1
4058.4
AIC
6718.6
5827.1
4068.4
BIC
6737.9
5856.0
4078.8
Effect
Parameter
ZIPN
PG
ZIPG
Estimate (SE.)
Estimate (SE.)
Estimate (SE.)
Intercept
1.447 (0.271)
1.859 (0.177)
1.801 (0.179)
Slope
−0.076 (0.056)
−0.096 (0.017)
−0.086 (0.018)
NB parameter
0.648 (0.040)
1.479 (0.106)
St. dev. nonzero RE
0.944 (0.436)
Correlation RE
−0.055 (0.217)
St. dev. zero part RE
2.012 (1.321)
Inflation intercept
−3.922 (0.663)
−7.691 (2.138)
Inflation slope
0.091 (0.035)
0.317 (0.113)
Ratio slopes
16.795 (17.459)
7.663 (6.334)
11.501 (16.602)
Inverse NB parameter
1.543 (0.096)
0.676 (0.048)
−2logL
3742.2
4072.8
4070.8
AIC
3760.2
4082.8
4084.8
BIC
3778.9
4106.9
4118.5
Effect
Parameter
PNG
ZIPNG
Estimate (SE.)
Estimate (SE.)
Intercept
1.096 (0.295)
1.294 (0.287)
Slope
−0.050 (0.013)
−0.058 (0.031)
NB parameter
2.648 (0.282)
0.208 (0.028)
St. dev. nonzero RE
0.967 (0.441)
Correlation RE
0.088 (0.149)
St. dev. zero part RE
2.364 (1.658)
Inflation intercept
−4.744 (0.691)
Inflation slope
0.072 (0.034)
St. dev. RE
0.991 (0.102)
Ratio slopes
2.016 (0.822)
3.433 (1.650)
Inverse NB parameter
0.378 (0.377)
4.820 (0.641)
−2logL
3550.2
3487.3
AIC
3562.2
3507.3
BIC
3574.6
3528.1
The table summarizes the parameter estimates and standard errors (SE.) together with model comparison criteria results. The significant parameters are identified by and the slope is for covariate time.
