Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland Page: 74
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For the purpose of this study, loading equal to, or more extreme than + or - 0.6 are
described as high; loadings (both positive and negative between 0.6 and 0.4 are considered
moderate, and those less than + or- 0.4 are considered low.
Sampling Adequacy and Bartlett's Test
Recommended procedures for accepting that the PCA has yielded reliable factors are a
check of Kaiser-Meyer-Olkin (KMO) measure of sampling adequacy and Bartlett's test of
sphericity. Kaiser (1974) recommends accepting values greater than 0.5. If values are found to
be lower, then rethinking which variables to include or collection more data may be a good idea
Bartlettt's Test of sphericity tests the null hypothesis that the original correlation matrix
is an identity matrix. A significant result (p < .05) indicates the matrix is not an identity matrix,
and thus factor analysis would be appropriate (Field, 2005).
Bayesian Model Averaging
Bayesian model averaging (BMA) is a robust statistical technique which was useful for
selecting regression models (Raftery, 1995). It is the most appropriate model for comparison and
model fit statistics (Schwarz, 1978; Moore 2008). The BMA package/library (Raftery et al.,
2011) was used to select variables, as predictors for input into ordinary least squares regression.
These variables originated from Sections 1, 3, 6, and also included the variables from Sections 2,
4, and 5 which did not become part of the sustainability indices. These potential sustainability
predictors addressed respondents land management philosophy, native rangeland management
practices, and personal characteristics.
Specifically, the "bicreg" function was used. This function accounts for the model
uncertainty, which is inherent in the variable selection process. It does this by first selecting
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Becker, Wayne. Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland, dissertation, December 2011; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc103289/m1/85/: accessed February 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .