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1 results

  • Exact Interval Estimation, Power Calculation, and Sample Size Determination in Normal Correlation Analysis

  • Gwowen Shieh
  • Journal:
    Psychometrika / Volume 71 / Issue 3 / September 2006
    Published online by Cambridge University Press:
    01 January 2025, pp. 529-540

  • This paper considers the problem of analysis of correlation coefficients from a multivariate normal population. A unified theorem is derived for the regression model with normally distributed explanatory variables and the general results are employed to provide useful expressions for the distributions of simple, multiple, and partial-multiple correlation coefficients. The inversion principle and monotonicity property of the proposed formulations are used to describe alternative approaches to the exact interval estimation, power calculation, and sample size determination for correlation coefficients.