Simulation Study of the Asymptotic and Relative Efficiencies of the Conventional Biserial, the Brogden's, and the Lord-Clemans' Correlation Coefficients in Normal and Nonnormal Populations

• Main Author: Tungsomworapongs, Manop
• Other Authors: Brookshire, William K.
• Format: Others
• Language: English
• Published: North Texas State University 1983
• Subjects: biserial correlation statistics; conventional biserial coefficients; Brogden's biserial coefficients; Lord-Clemans' biserial coefficients; Correlation (Statistics); Population research.
• Online Access: https://digital.library.unt.edu/ark:/67531/metadc332417/

The problem of the study was related to the asymptotic and relative efficiencies of the conventional biserial correlation coefficients and the two modified biserial correlation coefficients proposed by Brogden (1) and Lord-Clemans (2; 15). These were determined under some selected cutting points (p), and various sizes of samples (n) randomly drawn from the; simulated bivariate populations of four different shapes—normal, lognormal, double exponential, and the contaminated normal, and of various degrees in population parameter (p).