Testing of multivariate repeated measures data with block exchangeable covariance structure

Ivan Zezula, Daniel Klein, Anuradha Roy*

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    10 Citations (Scopus)

    Abstract

    A new hypothesis testing of equality of mean vectors in two populations using statistic for multivariate repeated measures data on q response variables at p sites or time points in a block exchangeable covariance matrix setting is proposed. The minimum sample size needed for our new test is only , unlike in Hotelling's test. The new test is very efficient in small sample scenario, when the number of observations is not adequate to estimate the dimensional unknown unstructured variance-covariance matrix. Some simulation studies are performed to compare the power of the new test and the existing test. The performance of the proposed test is demonstrated with the two medical data sets.

    Original languageEnglish
    Pages (from-to)360-378
    Number of pages19
    JournalTEST
    Volume27
    Issue number2
    DOIs
    Publication statusPublished - Jun-2018

    Keywords

    • BT2 statistic
    • D-2 statistic
    • Hotelling's T-2 statistic
    • Lawley-Hotelling trace distribution
    • DISTRIBUTED ERRORS
    • LINEAR-MODELS
    • MATRIX
    • PRODUCTS

    Cite this