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MANOVA Test in SPSS

MANOVA Test in SPSS

The one-way Multivariate Analysis of Variance (one-way MANOVA) is used to examine the effects of one or more independent variables on multiple dependent variables.

Assumption:

  1. Two or more dependent variables should be continuous.

  2. Dependent variables are multivariates that are normally distributed within each group of the factor variable.

  3. Each observation should be sampled from the population randomly and independently.

  4. There should be homogeneity of variance-covariance matrices.

  5. There should be no outliers.

Three dependent variables, namely, Administrative Procedures and Regulations, Curriculum, and Leadership commitment, are considered. Three independent variables, namely, Faculty Support, Infrastructure and Facilities, and Faculty Welfare Schemes, are considered.

Administrative procedures and regulations, curriculum and leadership commitment are the components of governance and administration and faculty support, infrastructure and facilities and faculty welfare schemes are the components of administration. Here, we are finding the impact of administrative factors on governance factors.

In SPSS, MANOVA test is found in Analyze > General Linear Model > Multivariate

We will get ‘Multivariate’ dialog box.

Add the dependent variables, (Administrative Procedures and Regulations, Curriculum and Leadership Commitment) in the ‘Dependent Variables’ box and add the independent variables (Faculty Support, Infrastructure and Facilities and Faculty Welfare Schemes) in the ‘Covariate(s)’ box.

In the ‘Multivariate: Model’ window, add the independent variables and select effects under ‘Build Term(s): Type’. Here we are considering only the ‘Main effects’. If we want to study the interaction effects of independent variables, then we have to select the ‘Interaction’ option.

Click on ‘Continue’.

In the ‘Multivariate: Options’ window, add ‘Overall’ in ‘Display Means for:’ box and then click on ‘Descriptive statistics’. Click on ‘Continue’ and then on ‘Ok’.

Output of MANOVA test

We will get ‘Descriptive Statistics’ table for the dependent variables.

Then, we will get ‘Multivariate Tests’ table.

Check the ‘Wilks’ Lambda’ row and determine whether the MANOVA is statistically significant by checking the ‘Sig.’ column. It can be observed that the three components of administrative factors (Faculty Support, Infrastructure and Facilities and Faculty Welfare Schemes) had a significant effect on governance and administration.

In order to find the effect of each variable of administrative factors on each individual factor of governance and administration, the ‘Tests of Between-Subjects Effects’ table needs to  be checked.

It can be observed from the above table that faculty support had a significant impact on the three dimensions of governance and administration (Administrative Procedures and Regulations: F=68.160; p<0.001; Curriculum: F=26.108; p<0.001; Leadership Commitment: F=49.122; p<0.001). Similarly, Faculty Welfare Schemes had a significant effect on Administrative Procedures and Regulations (F=45.15; p<0.001), Curriculum (F=79.08; p<0.001), and Leadership Commitment (F=77.87; p<0.001). However, Infrastructure and Facilities exerted a significant influence on Administrative Procedures and Regulations (F=19.60; p<0.001) and Leadership Commitment (F=31.23; p<0.001) but not on Curriculum (F=0.15; p>0.05).

Therefore, it could be inferred that administrative factors have a significant impact on governance and administration

Data: MANOVA_Data.sav

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