• Corpus ID: 33330168

RANK TESTS FOR INDEPENDENCE — WITH A WEIGHTED CONTAMINATION ALTERNATIVE

@inproceedings{Shieh2000RANKTF,
  title={RANK TESTS FOR INDEPENDENCE — WITH A WEIGHTED CONTAMINATION ALTERNATIVE},
  author={Grace S. Shieh and Zhidong Bai},
  year={2000}
}
Two rank tests for independence of bivariate random variables against an alternative model with weighted contamination are proposed. The model may emphasize the association of X and Y on items with high ranks in one variable (say X) and generalizes an alternative in Hajek andak (1967). The model may be applied to both complete paired data and paired data which is truncated in one variable. We derive the locally most powerful rank (LMPR) test under the alter- native setting. The proposed tests… 

Figures and Tables from this paper

Rank Tests for Independence Against Weighted Alternative with Missing Values
One of the common problems of practical importance is that of determining whether there is independence between a pair of random variables. In this paper, the problem of testing independence of
Tests of Independence Based on Sign and Rank Covariances
In this paper three different concepts of bivariate sign and rank, namely marginal sign and rank, spatial sign and rank and affine equivariant sign and rank, are considered. The aim is to see whether
A New Weighted Rank Correlation
Problem Statement: There have been many cases in real life where two independent sources have ranked n objects, with the interest focused on agreement in the top rankings. Spearman's rho and
ASYMPTOTIC EFFICIENCY OF THE BLEST‐TYPE TESTS FOR INDEPENDENCE
Blest (2000, Aust. N. Z. J. Stat. 42, 101–111) proposed a new measure of rank correlation that is sensitive to discrepancies in the small ranks. This paper investigates the efficiency properties of
Testing intergroup concordance in ranking experiments with two groups of judges.
TLDR
Using the actual ranks of the items gives better results than using the pairwise comparison of rankings, and the degree of power loss depends on the missing mechanism and the method of imputing the missing data, among other factors.
Mixtures of weighted distance-based models for ranking data with applications in political studies
  • P. Lee, P. Yu
  • Computer Science
    Comput. Stat. Data Anal.
  • 2012
A WEIGHTED RANK CORRELATION
There are many cases in real life where n objects are ranked by two or more independent sources, when the interest is focused on situation when agreement in the top rankings is more important than
Two algorithms for finding optimal solutions of the Kemeny rank aggregation problem for full rankings
TLDR
A branch-and-bound algorithm is proposed to find the solution(s) even when the authors take into account a relatively large number of objects to be ranked, and the solution can be employed in different analysis of rank data such as Mallow's phi model, mixtures of distance-based models, cluster analysis and so on.
Distance-based tree models for ranking data
  • P. Lee, P. Yu
  • Computer Science
    Comput. Stat. Data Anal.
  • 2010
An R package for analyzing and modeling ranking data
  • P. Lee, P. Yu
  • Computer Science
    BMC Medical Research Methodology
  • 2013
TLDR
The R package pmr is presented, the first package for analyzing and modeling ranking data with a bundle of tools and provides insight to users through descriptive statistics of ranking data and various probability models for ranking data, allowing users to choose that which is most suitable to their specific situations.
...
...

References

SHOWING 1-10 OF 19 REFERENCES
A nonparametric comparison of the structure of two multiple-regression prediction situations
TLDR
A rank correlation coefficient is sought which gives greater weight to the observations of low rank than those of high rank, and which represents more similarity between the samples than case (b), where they disagree on the first regressor and agree instead on the last.
A nonparametric comparison of two multiple regressions by means of a weighted measure of correlation
Let (R1j,....,Rmj) j=1,2, be two rankings of m items; let Tk , k=l,...,m. be the number of items with rank ≤ k in both rankings; and let T = ∑Tk/k. Then T is a measure of rank correlation which gives
A NEW MEASURE OF RANK CORRELATION
1. In psychological work the problem of comparing two different rankings of the same set of individuals may be divided into two types. In the first type the individuals have a given order A which is
Theory of rank tests
Introduction and Coverage. Preliminaries. Elementary Theory of Rank Tests. Selected Rank Tests. Computation of Null Exact Distributions. Limiting Null Distributions. Limiting Non-Null Distributions.
Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity, and Panmixia
There are few branches of the Theory of Evolution which appear to the mathematical statistician so much in need of exact treatment as those of Regression, Heredity, and Panmixia. Round the notion of
Typical Laws of Heredity
  • Education
    Nature
  • 1877
II.FIRST let me point out a fact which Quetelet and all writers who have followed in his paths have unaccountably overlooked, and which has an intimate bearing on our work to-night. It is that,
Mathematical contributions to the theory of evolution.—On the law of reversion
  • K. Pearson
  • Geology
    Proceedings of the Royal Society of London
  • 1900
(1) Introductory.—In a memoir recently presented to the Royal Society, I have endeavoured to emphasise the importance of distinguishing between three diverse types of heredity, namely (i), Blended
A measure of top-down correlation
Many situations exist in which n objects are ranked by two or more independent sources, where interest centers primarily on agreement in the top rankings and disagreements on items at the bottom of
...
...