When can we know that a manova, mancova and ancova is used in the analysis of research
situation based on the variables used?
Understanding when to use MANOVA, MANCOVA, and ANCOVA involves examining the
types of variables and the research questions at hand:
MANOVA (Multivariate Analysis of Variance)
Use When: You have two or more dependent variables that are continuous and you want
to see if their means differ across groups defined by one or more categorical independent
variables.
Example Situation: Testing the effect of different teaching methods (independent
variable) on students' scores in math, science, and literature (dependent variables).
MANCOVA (Multivariate Analysis of Covariance)
Use When: Similar to MANOVA, but you also want to control for the effects of one or
more continuous covariates.
Example Situation: Assessing the impact of different diets (independent variable) on
weight loss, cholesterol, and blood pressure (dependent variables), while controlling for
initial weight (covariate).
ANCOVA (Analysis of Covariance)
Use When: You have one dependent variable that is continuous and you want to compare
means across groups defined by one or more categorical independent variables,
controlling for one or more continuous covariates.
Example Situation: Evaluating the effect of a training program (independent variable)
on employee performance scores (dependent variable), while controlling for age and
years of experience (covariates).
Summary
MANOVA: Multiple dependent variables, no covariates.
MANCOVA: Multiple dependent variables, with covariates.
ANCOVA: One dependent variable, with covariates.