Bootstrap and randomization tests of some nonparametric hypotheses

By Joseph P. Romano. 1989

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Citations in the corpus

Kernel‐based tests for joint independence (2016, background): “tests, it seems likely that the permutation test for dHSIC is consistent, too. The proof of Theorem 3.9, however, cannot be easily extended. A more promising approach would be to proceed similarly to Romano (1989), as the test statistics considered there are closely related to dHSIC, see (5.1) and (”
Minimax optimality of permutation tests (2020, background): “In addition to these findings, power comparisons between permutation and bootstrap tests have been made by Romano (1989); Janssen and Pauls (2003); Janssen (2005) and among others.”
EARLY CHILDHOOD INVESTMENTS SUBSTANTIALLY BOOST ADULT HEALTH (2014, unknown): “to Romano (112) for a theoretical background.”
A Note on Conditional Versus Joint Unconditional Weak Convergence in Bootstrap Consistency Results (2017, background): “Parts of these equivalences can also be found in Dümbgen and Del Conte-Zerial (2013), Lemma 4.1, relying on ideas put forward in Hoeffding (1952) and also exploited in Romano (1989) and Chung and Romano (2013).”
Multivariate Symmetry and Asymmetry (2006, unknown): “Bootstrap tests are proposed by Romano [46].”
Randomization Tests Under an Approximate Symmetry Assumption (2017, unknown): “…to assume that j = ( j,t : t ∈ T0 ∪ T1) are independent across j, that for 1 ≤ ` ≤ 2 1 |J0|2 ∑ k∈J0 1 |T`| ∑ t∈T` ∑ s∈T` E[ k,t k,s] → 0 , (22) and that 1√ |T1| ∑ t∈T1 j,t , 1√ |T0| ∑ t∈T0 j,t : j ∈ J1 (23) satisfies a central limit theorem (see, e.g., Politis et al., 1999, Theorem B.0.1).”
Specification Curve: Descriptive and Inferential Statistics on All Reasonable Specifications (2015, unknown): “…random samples of the modified data are drawn, the test statistic of interested computed on each of them, and the resulting distribution is the estimated distribution of the test-statistic under the null (Bickel & Ren, 2001; Boos, 2003; MacKinnon, 2009; Paparoditis & Politis, 2005; Romano, 1989).”
Permutation tests for univariate or multivariate analysis of variance and regression (2001, methodology): “Also, the related approach of bootstrapping provides a test that is asymptotically equivalent to the permutation test (Romano 1988).”
Significance testing in ecological null models (2012, background): “In a greater context, previous authors (Fisher 1935; Hoeffding 1952; Kempthorne and Doerfler 1969; Romano 1989; Efron and Tibshirani 1998; Manly 1998) have demonstrated that randomization (permutation, resampling, Monte Carlo) tests and their parametric counterparts have equivalent error rates when ”
Exact and Approximate Stepdown Methods for Multiple Hypothesis Testing (2005, methodology): “Alternatively, the more general resampling approaches of Section 4 can be used; the comparison of randomization and bootstrap tests was studied by Romano (1989), who showed they are often quite close, at least when the randomization hypothesis holds.”
Approximate permutation tests and induced order statistics in the regression discontinuity design (2015, background): “Shen and Zhang (2014) propose using a rule of thumb bandwidth hSZ derived from Imbens and Kalyanaraman (2012).”