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All of them express a correlation between attributes and outcomes, and that's generally the best you can do when you don't understand what causes a given outcome.
The statistically significant diagonal values in the Cholesky matrix highlight correlation between attributes making an uncorrelated specification inappropriate (matrices for models with correlation available in Appendix A).
The second assumes that that probability distributions on separate attributes are statistically independent of one another (Sharma et al., 2012), but correlation between attributes often occur.
RP techniques have failed due to lack of data on travel time variability, transport costs and available but not chosen alternatives as well as the correlation between attributes.
In DCE literature, entropy summarizes the impact of task complexity or respondent fatigue due to the number of choice alternatives; the number and correlation between attributes and attribute-levels; and similarity between the alternatives.
Pairwise correlation analysis of these 120 attributes for skipping, inclusion and non-regulated events showed significant differences between regulated and non-regulated events (Additional file 1: Figure S1), with higher correlation between attributes in regulated events compared to non-regulated events.
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bIn contrast to orthogonal experimental designs which aim to minimise correlation between attribute levels, efficient designs aim to produce data with as low as possible standard errors.
Our hope is that an understanding of what constitutes good theory will help researchers do a better job of discovering the mechanisms that cause the outcomes managers care about, and that researchers will not be satisfied with measuring the statistical significance of correlations between attributes and outcomes.
The model structures studied were: multinomial logit; mixed logit as a special case of random coefficients; mixed logit error components- considering panel effect and mixed logit error components – including possible correlations between attributes of intermodal alternatives.
To remove redundant attributes, we manually selected the subset in which all the pair-wise Pearson correlations between attributes in the subset are lower than 0.85.
Still, the problem we used in our experiment involved a certain pattern of correlations between attributes, which could have influenced outcome dimensions like decisional conflict.
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