Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland Page: 72
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Scree plot analysis is extremely reliable, even compared to parallel engine analysis (Patil
et al., 2007). A scree plot is a graphical method first proposed by Cattell (1966). The object is to
plot the eigenvalues for each additional component and connect them with a line. As the amount
of variance explained in each component decreases, the line will level off to the right of the plot.
To the right of this point, presumably, you find only meaningless components. The problem is
that this techinque is very subjective (Turner, 1988).
Still a third criterion is Kaiser's criterion, simply stated this is retaining all components
with eigenvalues greater than 1 (Field, 2005). Therefore, an approach using more than one
technique is preferred to a single approach for factor selection. This multiple approach, reduces
subjectivity yet allows for greater discernment by the researcher (Patil et al., 2007).
This study followed those guidelines and determined the number of principle components
to extract by a combined analysis using both Parallel Engine Analysis and Scree Plot Analysis
and additionally, Kaiser's criterion. Determination of the number of components to be used was
done initially, with no rotation procedure applied to the principle component analysis.
The goal of rotating components is to a determine pattern of loadings identifying the
variables of interest. After considering various rotation strategies, Varimax rotaion was
selected. If fit best with the purpose of the study. The goal is to maximize the variance
(variability) of the "new" variable (factor), while minimizing the variance around the new
variable. This should obtain a pattern of loadings on each factor that is as diverse as possible,
lending itself to easier interpretation (StatSoft, 2011; Field, 2005).
Communality is the squared multiple correlation for the variable as dependent using the
factors as predictors. Generally, they help to identify the measured variables for which the factor
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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/m1/83/: accessed June 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .