Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland Page: 77
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After the regression analysis, the relative predictive importance of the independent
variables will be established by comparing beta weights. All predictor and dependent variables
were interval due to the optimal scaling process that was employed earlier in the analysis. This
analysis was conducted using SPSS 18.0.
Garson (2011 c) explains that all statistical procedures have underlying assumptions.
Sometimes violations of these assumptions can be tolerated without changing substantive
research conclusions. In other cases, violation of assumptions is critical to meaningful research.
Every effort was made to adhere to relevant assumptions in order to assure the ability to draw
* Error was checked for normal distribution, using histograms and (P-P) plots.
* Residual analysis was undertaken to check for lack of homoscedasticity and presence of
outliers, ensuring stability across the accepted model.
* Multicollinearity was assessed to ensure that it is not present. Correlations were visually
assessed; VIF and Tolerance test were employed.
* Robust techniques were employed to ensure that all data would fit with linearity
assumption (see section on optimal scaling).
* Leaving variables out of the model when literature suggests they should be included is a
serious deviation from data assumptions. When constructing the most parsimonious
model, literature was has implicated independent variables of importance far beyond
those in the model. The regression model is, in part, an attempt to discern which
areas/variables are, in fact the most important for obtain sustainable rangeland
Careful application of multiple regression methods requires that the regression weights be
cross-validated on a different population (Stockburger, 2006). Field (2005) explains cross
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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/m1/88/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .