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Table 4 Equations for Models 1–4 and 1I-4I

From: Density-dependent effects on the weight of female Ascaris lumbricoides infections of humans and its impact on patterns of egg production

Models Negative binomial count component Bernoulli component (zero-inflated "I" models only)
1,1I
2,2I
3,3I
4,4I
Ln ( μ Λ ) = Ln ( λ 1 ) + c Ln ( n ) + β a MathType@MTEF@1@1@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaacbaGae8xsaKKae8NBa4Mae8hkaGIaeqiVd0Maeu4MdWKae8xkaKIae8xpa0Jae8xsaKKae8NBa4Mae8hkaGIaeq4UdW2aaSbaaSqaaiabigdaXaqabaGccqGGPaqkcqGHRaWkcqWGJbWycqWFjbqscqWFUbGBcqWFOaakieGacqGFUbGBcqWFPaqkcqWFRaWkcqaHYoGycqGFHbqyaaa@46AF@
Ln ( μ Λ ) = Ln ( λ 1 ) + c Ln ( n ) + β a + γ 1 w MathType@MTEF@1@1@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaacbaGae8xsaKKae8NBa4Mae8hkaGIaeqiVd0Maeu4MdWKae8xkaKIae8xpa0Jae8xsaKKae8NBa4Mae8hkaGIaeq4UdW2aaSbaaSqaaiabigdaXaqabaGccqGGPaqkcqGHRaWkcqWGJbWycqWFjbqscqWFUbGBcqWFOaakieGacqGFUbGBcqWFPaqkcqWFRaWkcqaHYoGycqGFHbqycqGFRaWkcqaHZoWzdaWgaaWcbaGaeGymaedabeaakiabdEha3baa@4BCD@
Ln ( μ Λ ) = Ln ( λ 1 ) + c Ln ( n ) + β a + γ 1 w + γ 2 w 2 MathType@MTEF@1@1@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaacbaGae8xsaKKae8NBa4Mae8hkaGIaeqiVd0Maeu4MdWKae8xkaKIae8xpa0Jae8xsaKKae8NBa4Mae8hkaGIaeq4UdW2aaSbaaSqaaiabigdaXaqabaGccqGGPaqkcqGHRaWkcqWGJbWycqWFjbqscqWFUbGBcqWFOaakieGacqGFUbGBcqWFPaqkcqWFRaWkcqaHYoGycqGFHbqycqGFRaWkcqaHZoWzdaWgaaWcbaGaeGymaedabeaakiabdEha3jabgUcaRiabeo7aNnaaBaaaleaacqaIYaGmaeqaaOGaem4DaC3aaWbaaSqabeaacqaIYaGmaaaaaa@5214@
Ln ( μ Λ ) = Ln ( λ 1 ) + c Ln ( n ) + β a + γ 1 w + γ 2 w 2 + γ 3 w 3 MathType@MTEF@1@1@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaacbaGae8xsaKKae8NBa4Mae8hkaGIaeqiVd0Maeu4MdWKae8xkaKIae8xpa0Jae8xsaKKae8NBa4Mae8hkaGIaeq4UdW2aaSbaaSqaaiabigdaXaqabaGccqGGPaqkcqGHRaWkcqWGJbWycqWFjbqscqWFUbGBcqWFOaakieGacqGFUbGBcqWFPaqkcqWFRaWkcqaHYoGycqGFHbqycqGFRaWkcqaHZoWzdaWgaaWcbaGaeGymaedabeaakiabdEha3jabgUcaRiabeo7aNnaaBaaaleaacqaIYaGmaeqaaOGaem4DaC3aaWbaaSqabeaacqaIYaGmaaGccqGHRaWkcqaHZoWzdaWgaaWcbaGaeG4mamdabeaakiabdEha3naaCaaaleqabaGaeG4mamdaaaaa@5869@
L o g i t ( p ) = δ 0 + δ 1 a + δ 2 Ln ( n ) + δ 3 Ln ( w ) MathType@MTEF@1@1@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaacbaGae8htaWKae83Ba8Mae83zaCMae8xAaKMae8hDaqNaeiikaGIaemiCaaNaeiykaKIaeyypa0JaeqiTdq2aaSbaaSqaaiabicdaWaqabaGccqGHRaWkcqaH0oazdaWgaaWcbaGaeGymaedabeaakiabdggaHjabgUcaRiabes7aKnaaBaaaleaacqaIYaGmaeqaaOGae8xsaKKae8NBa4MaeiikaGIaemOBa4MaeiykaKIaey4kaSIaeqiTdq2aaSbaaSqaaiabiodaZaqabaGccqWFjbqscqWFUbGBcqGGOaakcqWG3bWDcqGGPaqkaaa@50E7@