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We tested the effects of climatic variables (temperature, precipitation), landscape attributes (number of patches, mean inter-patch isolation distance, matrix modification index) and patch size on the population density using linear models and the Akaike information criterion.
The modification index and expected parameter change statistics could clearly point to this style of problematic coefficient.
After all the insignificant paths in the hypothesized model had been dropped, paths were added at each step to improve the goodness-of-fit statistics based on the modification index and pre-set assumptions.
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Particularly high modification indices and therefore high residual correlations (often greater than 0.30) were observed for Australia, Canada, Denmark, Estonia, Finland, South Korea, Netherlands, Sweden, UK, and USA.
We then carried out post hoc re-specification of the best fitting factor structures, adding three error covariance terms (items 1 2, 4 5 and 17 19), based on modification indices and semantic similarity between items, to yield model 6.
The size of a modification index should be considered with respect to other modification indices and also the magnitude of the chi-square statistic [ 24].
To identify possible sources for this, we examined the model modification indices, and considered item loadings and content.
Post-hoc modelling identified some structural refinements based on modification indices and a slightly revised model was proposed.
Further structural refinements were identified based on consideration of modification indices and a slightly revised model proposed (see results).
Releasing parameter restrictions based on modification indices and expected change is a data driven procedure, and susceptible to capitalization on chance characteristics of the data [ 58].
Following the factor loadings, modification indices, and the internal consistency check of each subscale, the stepwise procedure resulted in elimination of 13 items.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com