nosdata

Data package containing a collection of 'near-oracle' subgroups

https://github.com/nickwkoning/nosdata

Science Score: 44.0%

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Repository

Data package containing a collection of 'near-oracle' subgroups

Basic Info

Host: GitHub
Owner: nickwkoning
License: mit
Language: R
Default Branch: main
Size: 52.7 MB

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Watchers: 1
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Open Issues: 0
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Created over 4 years ago · Last pushed about 4 years ago

Metadata Files

Readme License Citation

NOSdata

Data package containing a database of 'near-oracle' subgroups of the sign-flipping group. Each subgroup is represented as an n by m matrix, where n is the number of signs and m is the order of the group. Each column corresponds to an element of the group, under element-wise multiplication. The identity element is contained in the first column. The name of the near-oracle subgroup of order, say, m = 64 for n = 10 signs for one-sided and two-sided testing, respectively, is as follows. {r} max_abs_subgroups_n_10[[log2(64) + 1]] max_subgroups_n_10[[log2(64) + 1]]

Construction

The package also contains two files that were used to generate the near-oracle subgroups (group_construction.R, groupconstructionparallel.R). These are based on the algorithm described in Koning & Hemerik (2022) implemented in the package NOS, and can be used to construct near-oracle subgroups that are not currently stored in the database.

Installation

You can install the data package using: {r} devtools::install_github("nickwkoning/NOSdata")

Example

Suppose we have n = 10 independent observations from a sign-flipping invariant distribution with mean .1 and standard deviation 1. {r} n = 10 mu = .1 x = mu + rnorm(n) We want to test the null-hypothesis that the mean is zero against the alternative that it is non-zero at level .05. We use a sign-flipping subgroup of order 32 = 2^(6 - 1), which means it has rank 6. As we test against a two-sided alternative, we select a near-oracle subgroup whose name starts with "maxabs". ```{r} alpha = .05 rank = 6 subgroup = get(paste0("maxabssubgroupsn", n))[[rank]] To conduct the test, we compute the sign-flipped test statistics and compute the proportion of the test statistics on the sign-flipped data weakly exceed the test statistic on the actual data. The test statistic on the actual data coincides with the first element, as the identity is the first column of each subgroup. If this proportion is smaller than our level .05, we reject the null nypothesis.{r} teststats = t(subgroup) %*% x pval = mean(teststats[1] <= teststats) pval < alpha In case we would like to conduct a one-sided test, we use the following subgroup.{r} subgrouponesided = get(paste0("maxsubgroupsn_", n))[[rank]] ```

Owner

Name: Nick
Login: nickwkoning
Kind: user

Repositories: 1
Profile: https://github.com/nickwkoning

Citation (CITATION.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
  - family-names: Koning
    given-names: N.W.
title: "Database of Near Oracle Subgroups"
version: 0.1
date-released: 2022-01-25
url: "https://github.com/nickwkoning/NOSdata"

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