Theoretical Study for Adjusting ANOVA Procedures For The One- Way Random Effects Model Under Correlated Errors Within Class And Across Classes.

Autor: Jawad, Ahmed M., AL-Kaabawi, Zainab
Předmět:
Zdroj: Journal of Qadisiyah Computer Science & Mathematics; 2023, Vol. 15 Issue 2, p1-14, 14p
Abstrakt: In this study, a method was developed to adjust the procedures of analysis of variance for the one-way balanced random effects model when error limits across classes are not independent, while the assumption of independence between the error terms among the different classes is essential in the analysis of variance. The variance-covariance structure and the correlation coefficients for the error limits were defined. The ρ1 was assumed as the correlation coefficient of error terms within the class and the ρ2 is the correlation coefficient for error terms in different classes. The work performed by deriving correction factor and calculating the expectation of the mean sum of squares of errors and treatments as well as correcting the f-statistic. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index