A Classification of Multivariate Techniques

There are two kind of multivariate techniques; such as

1. Dependence technique- as one in which a variable or set of variable is identified as the dependent variable to be predicted or explained by other variables known as independent variables. for example; regression analysis, SEM, canocical, conjoint, MANOVA, and discrmininant analysis

2. Independent technique- is one in which no single variable or group of variables is defined as being independent or dependent. rather the procedure involves the simultaneous analysis pf all variables in the set. for example: factor analysis, CFA, cluster analysis, correspondence analysis.

Tthe Relationship between Multivariate Dependence Methods

canocical
Y1+Y2+Y3+...+Yn = X1+X2+X3+...+Xn
(METRIC, NON METRIC) (METRIC,NONMETRIC)

Multivariate analysis of variance
Y1+Y2+Y3+...+Yn = X1+X2+X3+...+Xn
(METRIC) (NONMETRIC)

ANOVA
Y1 = X1+X2+X3+...+Xn
(METRIC) (NONMETRIC)


Multiple discriminant analysis
Y1 = X1+X2+X3+...+Xn
(NONMETRIC) (METRIC)

Multiple Regression analysis
Y1 = X1+X2+X3+...+Xn
(METRIC) (METRIC,NONMETRIC)

conjoint analysis
Y1 = X1+X2+X3+...+Xn
(METRIC,NON METRIC) (NONMETRIC)

SEM
Y1 = X11+X12+X13+...+X1n
Y2 = X21+X22+X23+...+X2n
Y3 = X31+X32+X33+...+X3n
(METRIC) (METRIC,NONMETRIC)

REFERENCES: Hair et al. (2006)