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  • 标题:Understanding Our Markov Chain Significance Test: A Reply to Cho and Rubinstein-Salzedo
  • 本地全文:下载
  • 作者:Maria Chikina ; Alan Frieze ; Wesley Pegden
  • 期刊名称:Statistics and Public Policy
  • 电子版ISSN:2330-443X
  • 出版年度:2019
  • 卷号:6
  • 期号:1
  • 页码:1-5
  • DOI:10.1080/2330443X.2019.1615396
  • 出版社:Taylor and Francis Ltd
  • 摘要:The article of Cho and Rubinstein-Salzedo seeks to cast doubt on our previous paper, which described a rigorous statistical test which can be applied to reversible Markov chains. In particular, Cho and RubinsteinSalzedo seem to suggest that the test we describe might not be a reliable indicator of gerrymandering, when the test is applied to certain redistricting Markov chains. However, the examples constructed by Cho and Rubinstein-Salzedo in fact demonstrate a different point: that our test is not the same as another class of gerrymandering tests, which Cho and Rubinstein-Salzedo prefer. But we agree and emphasized this very distinction in our original paper. In this reply, we reply to the criticisms of Cho and Rubinstein-Salzedo, and discuss, more generally, the advantages of the various tests available in the context of detecting gerrymandering of political districtings.
  • 关键词:Gerrymandering ; Markov chain ; Redistricting
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