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Multivariate analysis

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Page 1: Multivariate analysis

DEFINATION:

“A collection of procedure for analyzing the association between two or more sets of measurement that were made of each object in one or more sample of objects”.

{Paul E Green}

Page 2: Multivariate analysis

These technique are empirical in nature. They analysis complex data collected from real life.

This technique crystallize large volume of data into smaller and more meaning scores that convey all relevant information.

This technique involves complex calculation.

Page 3: Multivariate analysis

Metric data:

Data measurement in An interval or ratio scale.

Non- Metric data:

Data measurement in nominal or ordinal scale.

Dependence Technique:

These are the technique that are used in situation where one or more then one variable are dependent on independent variables.

Page 4: Multivariate analysis

Interdependence Technique.

Explanatory variable and criterion variable.

Observable variable and latent variable.

Dummy Variable.

Page 5: Multivariate analysis

TYPE OF MULTIVARIATE TECHNIQUE

Page 6: Multivariate analysis

•Multivariate Regression Technique

•Multiple Discriminate Analyze

•Multiple Analysis of Variance

Page 7: Multivariate analysis

•LISREL

•Canonical Correlation Analysis

•Conjoint Analysis

Page 8: Multivariate analysis

•Factor Analysis

•Cluster Analysis

•Multidimensional Scaling

Page 9: Multivariate analysis

Latent Structure analysis

Page 10: Multivariate analysis

MRA is a measure of relationship and it involve a single dependent variable and two or more then two independent variable.

Form of multiple regression analysis modal is:

Y= a+ b 1 X1+ b2 X2 + b3 X3 +………….+b k X k +E

Y= Dependent Variable

X1, X2,………= Independent Variable

b1,…………….=Parameters

A=Constant

E= Error

Page 11: Multivariate analysis

Discriminate analysis is used for used for following purposes:

Classification of a group of people .

Examining if there are any significant differences between the group created.

Develop discriminate function that explain between the different categories.

Lastly to evaluate how accurate the classification has been.

Page 12: Multivariate analysis

The groups must be mutually exclusive with every case belonging to only one group.

All cases must be independent.

Group sizes of the dependent variable are not grossly different.

Independent variable are interval.

There should be absence of multi co linearity.

Page 13: Multivariate analysis

The discriminate function is represented by the following linear equation…….

Di = b0 +b1 X1 + b2 X 2 +……….+b k X k

Di = Score on discriminate function I .

b1, b 2…..= Discriminate coefficients.

b0 …..=Constant

X1, X2…..= Independent variable.

Page 14: Multivariate analysis