English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The two-sample problem for Cronbach's coefficient $\alpha_C$, as an estimateof test or composite score reliability, has attracted little attention,compared to the extensive treatment of the one-sample case. It is necessary tocompare the reliability of a test for different subgroups, for different testsor the short and long forms of a test. In this paper, we study statisticallyhow to compare two coefficients $\alpha_{C,1}$ and $\alpha_{C,2}$. The nullhypothesis of interest is $H_0 : \alpha_{C,1} = \alpha_{C,2}$, which we testagainst one-or two-sided alternatives. For this purpose, resampling-basedpermutation and bootstrap tests are proposed. These statistical tests ensure abetter control of the type I error, in finite or very small sample sizes, whenthe state-of-affairs \textit{asymptotically distribution-free} (ADF)large-sample test may fail to properly attain the nominal significance level.We introduce the permutation and bootstrap tests for the two-group multivariatenon-normal models under the general ADF setting, thereby improving on the smallsample properties of the well-known ADF asymptotic test. By proper choice of astudentized test statistic, the resampling tests are modified such that theyare still asymptotically valid, if the data may not be exchangeable. Theusefulness of the proposed resampling-based testing strategies is demonstratedin an extensive simulation study and illustrated by real data applications.

Resampling-based inference methods for comparing two coefficient alpha