Second, many researchers believe that ANOVA should be used as a follow-up
procedure to MANOVA for interpreting and understanding the multivariate effect.
While common, this analysis strategy is based on the misconception that
results from multivariate analyses are simply additive functions of the results
from univariate analyses. As will be described below, however, the multivariate
information from a MANOVA is contained in the linear combinations of dependent
variables that are generated from the analysis. Conducting an ANOVA on
each of the dependent variables following a MANOVA completely ignores these
linear combinations. Furthermore, the conceptual meaning of the results from a
series of ANOVAs will not necessarily match the conceptual meaning of the
results from a MANOVA. In other words, the multivariate nature of the results
will not necessarily emerge from a series of univariate analyses. Techniques for
identifying and exploring the linear combinations of variables that result from a
MANOVA are therefore of critical importance.
Second, many researchers believe that ANOVA should be used as a follow-upprocedure to MANOVA for interpreting and understanding the multivariate effect.While common, this analysis strategy is based on the misconception thatresults from multivariate analyses are simply additive functions of the resultsfrom univariate analyses. As will be described below, however, the multivariateinformation from a MANOVA is contained in the linear combinations of dependentvariables that are generated from the analysis. Conducting an ANOVA oneach of the dependent variables following a MANOVA completely ignores theselinear combinations. Furthermore, the conceptual meaning of the results from aseries of ANOVAs will not necessarily match the conceptual meaning of theresults from a MANOVA. In other words, the multivariate nature of the resultswill not necessarily emerge from a series of univariate analyses. Techniques foridentifying and exploring the linear combinations of variables that result from aMANOVA are therefore of critical importance.
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