Abstract
There are two reasons to compare different orders:
1. From (X, IB), a linear or weak order, called O poset, can be derived, applying methods rendered in Chapter 9. By calculation of an index (Chapter 7), another linear or weak order can be obtained, which we call O Γ. As there are the same set of indicators, IB, and the same set of objects, X, O poset, and O Γ should ideally be coincident. As can be suspected, this is not necessarily the case and we need measures to quantify the degree of coincidence between O poset and O Γ.
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Reference
Patil, G.P. (2005). Cross-disciplinary class room notes. Center for Statistical Ecology and Environmental Statistics, Penn State University.
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Brüggemann, R., Patil, G.P. (2011). Comparison of Partial, Linear, and Weak Orders. In: Ranking and Prioritization for Multi-indicator Systems. Environmental and Ecological Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8477-7_10
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DOI: https://doi.org/10.1007/978-1-4419-8477-7_10
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