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Table 3 Linear regression models for proportion-resistant inflection and maximum levels of decreasing and peaked behaviors, respectively

From: Expanding behavior pattern sensitivity analysis with model selection and survival analysis

Behavior Mode

Behavior Pattern Measure

Most Parsimonious Model

Full Model

Standardized Input Parameters

Coefficient (Standard Error)

Fit Statistics

Fit Statistics

p r

start r

λ in

λ out

log10sr)

MIC s

δ

V LI

η LI

AIC

BIC

Adj. R2

AIC

BIC

Adj. R2

Decreasing

Inflection Level

0.091 (0.002)

 

−0.031 (0.003)

  

MIC s

−0.007 (0.005)

−0.02 (0.004)

− 0.011 (0.002)

− 0.011 (0.002)

−800

−767

0.885

− 758

−664

0.869

MIC s 2

0.008 (0.003)

MIC s 3

−0.006 (0.002)

Peaked

Max Level

0.086 (0.003)

0.022 (0.003)

−0.036 (0.003)

0.02 (0.002)

0.009 (0.002)

MIC s

−0.081 (0.003)

−0.021 (0.002)

− 0.022 (0.002)

−0.018 (0.002)

− 1706

− 1653

0.807

− 1597

−1468

0.775

MIC s 2

0.032 (0.003)

Peaked

Relative Max Level

0.06 (0.003)

−0.07 (0.003)

−0.043 (0.003)

0.02 (0.003)

 

−0.02 (0.003)

−0.068 (0.003)

− 0.022 (0.003)

−0.021 (0.003)

− 1685

− 1641

0.734

− 1709

− 1585

0.752

  1. The example mathematical model was for the proportion of tetracycline-resistant enteric Escherichia coli in a beef steer during and after administration of oral chlortetracycline. A separate linear regression model was built for each behavior pattern measure of each behavior mode. The behavior pattern measure was the dependent variable in the linear regression models. Inflection points occurred during chlortetracycline administration in 65% of decreasing behavior simulations. Simulations that did not have an inflection point were excluded from the inflection level model. A maximum proportion resistant during chlortetracycline administration could be calculated for all peaked behavior simulations. Coefficients and standard errors are listed for the standardized parameters that were included in each most parsimonious linear regression model. Full model refers to a linear regression model including all the parameters listed in Table 6 as independent variables. Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), and adjusted R2 are given for the most parsimonious and the full model