In which conditions MANOVA should be used? For comparing significant differences of set of means, which statistical test LSD or Duncan Multiple Range Test should be preferred?
I am testing different isolates of Phytophthora infestans (independent variables) for variation in causing different epidemiological components (dependent variables) on potato. Should I use MANOVA?
“ANOVA” stands for “Analysis of Variance” while “MANOVA” stands for “Multivariate Analysis of Variance.”
The ANOVA method includes only one dependent variable while the MANOVA method includes multiple, dependent variables.
ANOVA uses three different models for experimentations; random-effect, fixed-effect, and multiple-effect methods to determine the differences in means which is its main objective while MANOVA determines if the dependent variables get significantly affected by changes in the independent variables.
Multivariate Analysis of Variance (MANOVA) simultaneously analyzes the
relationship of 2 or more metric dependent variables and several non‐metric independent variables. A related procedure is multivariate analysis of covariance (MANCOVA) which can be used to control factors other than the included independent variables.