# Reporting One-Way MANOVA Test in SPSS

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## How to Run One-Way MANOVA in SPSS: Explanation Step by Step

### From the SPSS menu, choose Analyze – General Linear Models – Multivariate

### From the left box transfer continuous dependent variables into the Dependent Variables box, and categorical independent variable into Fixed Factor(s) box.

### Click the Model button, and a new window will open. Choose Full factorial in the Specify Model box and Type III in Sum of squares box. Click Continue, and you will return to the previous box.

### Click the Options button, and a new window will open.

From the box Factor and Factor Interactions transfer, categorical variable into Display means for the box. In the Display box, choose Descriptive statistics, Homogeneity tests, and Estimates of effect size. Click Continue, and you will return to the previous window. Click OK.

### The one-way MANOVA results will appear in the output window.

## How to report a One-Way MANOVA results: Explanation Step by Step

### How to Report Between-Subjects Factors Table in SPSS Output?

Between-Subjects Factors table shows how categorical variable is coded and the number of observations in each group.

### How to Report Descriptive Statistics Table in SPSS Output?

The table shows the number of observations, the mean and standard deviation in each group, and total. For example, the average English test score for a male is 66.57 (M=66.57; SD=19.88), while the average English test score for a female is 69.26 (M=69.26, SD=21.38).

### How to Report Box’s test of equality of Covariance Matrices Table SPSS Output?

The following table shows the results of the Box’s test of equality of covariance matrices. That is to say, the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups.

If the p-value is greater than 0.05, then we may proceed to interpret the results of MANOVA.

In our example, the p-value is 0.368, so we fail to reject the null hypothesis.

### How to Report Multivariate Tests in SPSS output?

Multivariate tests show the results of Wilk’s Lambda test. Therefore, we should look at the results of Wilk’s Lambda test in the row for our categorical variable gender.

If the p-value is lower than 0.05. That is to say, there is a statistically significant difference in test scores (English, Maths, History) between males and females.

In our example, the p-value is 0.740, so we fail to reject the null hypothesis and conclude that there is no statistically significant difference in test scores (English, Maths, History) between males and females.

### How to report Levene’s test of equality of error Variances in SPSS Output?

The following table shows Levene’s test of equality of error variances results. That is to say, If the p-value is lower 0.05, the error variances of the dependent variable is not equal across groups. In our example, for three dependent variables p > = 0.01, so we fail to reject the null hypothesis and conclude that the error variances of the dependent variable are equal across groups.

### How to report Tests of between-subjects in SPSS Output?

Tests of between-subjects effects shows how the dependent variables (English test score, Math test score, History test score) differ for the independent variable (Gender).

### How to report Categorical Variables in SPSS Output?

The last table shows mean, standard error, and 95% confidence interval for each variable across categorical variables.

## How to Interpret a One-Way MANOVA Test Results in APA Style?

* One-way MANOVA was conducted to determine whether there is a difference between males and females on English test scores, Math test scores, and History test scores. There was non-significant difference in test scores (English, Maths and History) based on gender, F(3, 73) = 0.419, p = 0.740; Wilk’s lambda = 0.983, partial eta squared = 0.017. *

*Furthermore, there is no significant effect of gender on English test score, F(1, 75) = 0.325, p = 0.570, partial eta squared = 0.04. There is no significant effect of gender on Math test score, F(1, 75) = 0.195, p = 0.660, partial eta squared = 0.03. There is no significant effect of gender on History test score, F(1, 75) = 1.079, p = 0.302, partial eta squared = 0.014. *

*We fail to reject the null hypothesis and conclude that there is no difference between males and females on the English test score, Math test score, and History test score.*

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