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Table 1 Ten hypotheses of mineral influences on treponeme-associated hoof disease (TAHD) in elk. We evaluated multiple models to address independent a priori hypotheses and post hoc models on hoof health minerals and toxicants’ influence on TAHD diagnosis and severity of disease (i.e., “Status” and “Grade_Severity”, respectively) using the dataset without outliers. Model formulas are in italics beside a shorthand for their motivating hypotheses

From: Associations between hair trace mineral concentrations and the occurrence of treponeme-associated hoof disease in elk (Cervus canadensis)

Model

Formula

A priori hypotheses

 A. Hoof health minerals

Status ~ Co + Cu + Mo + Se + Zn

 B. Hoof health minerals with sex adjustment

Status ~ Co + Cu + Mo + Se + Sex + Zn

 C. Hoof health minerals with “Longitude” a adjustment

Status ~ Co + Cu + Mo + Long. + Se + Zn

 D. Toxicant hypothesis

Status ~ As + Co + Cr + Pb

 E. Toxicants with “Longitude” adjustment

Status ~ As + Co + Cr + Long.+ Pb

 F. Severity of disease and hoof health minerals

Grade_Severity ~ Co + Cu + Mo + Se + Zn

 G. Severity of disease affected by toxicants and “Longitude”

Grade_Severity ~ As + Co + Cr + Long.+ Pb

Post hoc models

 H. Interactionb of “Longitude” and Se

Status ~ Co + Cu + Mo + Se * Long. + Zn

 I. Se with toxicants and “Longitude” adjustment

Status ~ As + Co + Cr + Long.+ Pb + Se

 J. Cr (as possible toxicant) exacerbating Se deficiency

Status ~ Co + Cu + Mo + Se * Cr + Zn

 K. Co removed and substituted with Mn from Model C

Status ~ Cu + Long. + Mo + Mn + Se + Zn

  1. aLongitude category = “west” or “east” assigned from available location information (see Methods)
  2. bInteraction term was applied with releveling longitude under two sub-models: H1 and H2