Intrinsically Ties Adjusted Sign Test by Ranks

Minimum ranks of sign patterns via sign vectors and duality

A sign pattern matrix is a matrix whose entries are from the set {+,−, 0}. The minimum rank of a sign pattern matrix A is the minimum of the ranks of the real matrices whose entries have signs equal to the corresponding entries of A. It is shown in this paper that for any m×n sign pattern A with minimum rank n− 2, rational realization of the minimum rank is possible. This is done using a new ap...

Confidence Intervals for Population Ranks in the Presence of Ties and near Ties

Frequentist confidence intervals for population ranks and their statistical justifications are not well established, even though there is a great need for such procedures in practice. How do we assign confidence bounds for the ranks of health care facilities, schools and financial institutions based on data that do not clearly separate the performance of different entities apart? The commonly u...

The statistical sign test.

Ties That Bind: Characterizing Classes by Attributes and Social Ties

Given a set of attributed subgraphs known to be from different classes, how can we discover their differences? There are many cases where collections of subgraphs may be contrasted against each other. For example, they may be assigned ground truth labels (spam/not-spam), or it may be desired to directly compare the biological networks of different species or compound networks of different chemi...

Confidence intervals for ranks of age-adjusted rates across states or counties.

Health indices provide information to the general public on the health condition of the community. They can also be used to inform the government's policy making, to evaluate the effect of a current policy or healthcare program, or for program planning and priority setting. It is a common practice that the health indices across different geographic units are ranked and the ranks are reported as...