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Table 5 Results of zero-inflation Poisson regression modelling for the offset-model (Model 1: offset if log-size of holding), for the model treating log-size as a free covariate (Model 2) and the model with a quadratic term included (Model 3) based upon the CSFS data without index cases in the case count (n = 214).

From: On the question of proportionality of the count of observed Scrapie cases and the size of holding

Model 1

coefficient

S.E.

Z = coeff./S.E.

log-likelihood (AIC, BIC)

α

-6.0402

0.0981

-61.55

-236.27

β 1

1 (fixed)

  

(476.54, 483.27)

Model 2

coefficient

S.E.

Z = coeff./S.E.

log-likelihood (AIC, BIC)

α

-4.0355

0.2789

-5.54

-232.63

β 1

0.7140

0.1043

6.84

(471.27, 481.37)

Model 3

coefficient

S.E.

Z = coeff./S.E.

log-likelihood (AIC, BIC)

α

2.1013

1.1687

1.80

-223.99

β 1

-1.3656

0.0333

5.07

(455.99. 469.45)

β 2

0.1686

0.0270

-1.24