Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Joint distribution of z transformations estimated from the same sample.

D C Rao

    Human Heredity
    |January 1, 1979
    PubMed
    Summary
    This summary is machine-generated.

    Related Concept Videos

    You might also read

    Related Articles

    Articles linked to this work by shared authors, journal, and citation graph.

    Sort by
    Same author

    Genome-wide meta-analysis uncovers novel loci influencing circulating leptin levels.

    Nature communications·2016
    Same author

    A Genome-wide study of blood pressure in African Americans accounting for gene-smoking interaction.

    Scientific reports·2016
    Same author

    The effects of exercise on the lipoprotein subclass profile: A meta-analysis of 10 interventions.

    Atherosclerosis·2015
    Same author

    Genomic and transcriptomic predictors of triglyceride response to regular exercise.

    British journal of sports medicine·2015
    Same author

    Genome-wide association studies suggest sex-specific loci associated with abdominal and visceral fat.

    International journal of obesity (2005)·2015
    Same author

    The Influence of Age and Sex on Genetic Associations with Adult Body Size and Shape: A Large-Scale Genome-Wide Interaction Study.

    PLoS genetics·2015
    Same journal

    Comparative profiles of pediatric Mendeliome: A Single-Centre 572-Whole-Exome Sequencing Study in Xinjiang.

    Human heredity·2026
    Same journal

    Erratum.

    Human heredity·2026
    Same journal

    Exploratory Analysis of HMGB1 Genetic Variants and Their Potential Association with Lung Cancer Susceptibility and Chemotherapy Response in a Chinese Population.

    Human heredity·2025
    Same journal

    Weighted Burden Analysis of Rare Genetic Variants Identifies Novel Genes with Effects on BMI.

    Human heredity·2025
    Same journal

    Generalized Stable Population and Agent-Based Models of Phenotypic Transmission in Human Populations, with an Application to Body Size.

    Human heredity·2025
    Same journal

    Proteinase-activated receptor 2 (PAR-2) expression and F2RL1 genetic variants are associated with asthma: a case-control study in the Chinese population.

    Human heredity·2025
    See all related articles

    Fisher's z transformations of correlations are asymptotically multivariate normal when estimated using maximum likelihood from the same sample. This finding applies to both transformed and untransformed correlation coefficients.

    Area of Science:

    • Statistics
    • Statistical inference
    • Correlation analysis

    Background:

    • Maximum likelihood estimation is a common method for estimating statistical parameters.
    • Fisher's z-transformation is used to normalize the distribution of correlation coefficients.
    • Understanding the distributional properties of correlation estimates is crucial for hypothesis testing and confidence interval construction.

    Purpose of the Study:

    • To investigate the asymptotic distribution of Fisher's z transformations of correlations.
    • To determine the distributional properties of sample correlations estimated via maximum likelihood.
    • To establish the theoretical basis for statistical inference on correlation coefficients.

    Main Methods:

    • Utilizing maximum likelihood estimation for correlation calculation.

    Related Experiment Videos

  • Applying Fisher's z-transformation to sample correlation coefficients.
  • Asymptotic distribution theory to derive the properties of the transformed correlations.

    • Main Results:

    • Fisher's z transformations of correlations are asymptotically multivariate normal.
    • The asymptotic distribution is characterized by a specific mean and dispersion matrix.
    • Sample correlations themselves also exhibit asymptotic multivariate normality under these conditions.

    Conclusions:

    • The asymptotic multivariate normality of Fisher's z transformations provides a robust foundation for statistical inference.
    • This result simplifies hypothesis testing and confidence interval estimation for correlations.
    • The findings are applicable when correlations are estimated from a single sample using maximum likelihood.