Reply: Birnbaum’s (2012) statistical tests of independence have unknown Type-I error rates and do not replicate within participant

Birnbaum (2011, 2012) questioned the iid (independent and identically distributed) sampling assumptions used by state-of-the-art statistical tests in Regenwetter, Dana and Davis-Stober’s (2010, 2011) analysis of the “linear order model”. Birnbaum (2012) cited, but did not use, a test of iid by Smith...

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Bibliographic Details
Main Authors: Yun-shil Cha, Michelle Choi, Ying Guo, Michel Regenwetter, Chris Zwilling
Format: Article
Language:English
Published: Cambridge University Press 2013-01-01
Series:Judgment and Decision Making
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S1930297500004502/type/journal_article
Description
Summary:Birnbaum (2011, 2012) questioned the iid (independent and identically distributed) sampling assumptions used by state-of-the-art statistical tests in Regenwetter, Dana and Davis-Stober’s (2010, 2011) analysis of the “linear order model”. Birnbaum (2012) cited, but did not use, a test of iid by Smith and Batchelder (2008) with analytically known properties. Instead, he created two new test statistics with unknown sampling distributions.
ISSN:1930-2975