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)

Convergent calidity

by. Zencaroline
Convergent validity also requires that SMCs be equal to or greater than .5 along with pattern coeffieicnts equal to or greater than .7. Other useful assessments are composite reliability and Average Variance Extracted. Composite reliability should be equal to or greater than .7 and AVE should be greater than .5.
Convergent validity is assessed by the correlation among items which make up the scale or instrument measuring a construct (internal consistency validity)
Internal consistency is a type of convergent validity which seeks to assure there is at least moderate correlation among the indicators for a construct
Cronbach's alpha is commonly used to establish internal consistency construct validity, with .60 considered acceptable for exploratory purposes, .70 considered adequate for confirmatory purposes, and .80 considered good for confirmatory purposes.
Average variance extracted (AVE) s above 0.5 are treated as indications of convergent validity.
Convergent validity also requires that SMCs be equal to or greater than .5 along with pattern coeffieicnts equal to or greater than .7.

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http://zencaroline.blogspot.com/2007/05/convergent-validity.html

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