### Analysis of Covariance in SPSS - ANCOVA

Note the the One-Way ANCOVA is similar to the one-way ANCOVA only that the ANCOVA analysis incorporates a covariate variable which can also be regarded as a confounding variable. The ANCOVA model can be thought of as an augmentation of the single direction ANOVA with the control of the confounding variable. Like the single direction ANOVA, the single direction ANCOVA is utilized to decide if there are any statistically significant difference between the different groups of a categorical independent variable while controlling for the effect of the confounding factor. Before subjecting your data to the one-way ANCOVA, it is important to ensure that it meets the following assumptions.

1. The dependent variable and the covariate should be on a continuous scale.

2. The independent factor is a categorical variable with at least two levels.

3. No significant outliers.

4.

each level of the independent variable.Normal distribution of the residuals at5. There should be a linear association between the dependent and the covariate variable.

6. The homogeneity of variances assumption should be met.

7. The error term should also be uniformly distributed across the levels of the independent variable.

8. The last assumption is the

of the regression slope. This means that there is no interaction between the covariate and the independent variable. By default, SPSS Statistics does not include an interaction term between a covariate and an independent in its GLM procedure so that you can test this.homogeneityThe first step in the analysis of covariance is.

case:An analyst was keen on deciding if a six-week low-or high-force work out preparing project was best at lessening blood cholesterol fixations in moderately aged men. Both exercise projects were planned with the goal that a similar number of calories was used in the low-and high-force gatherings. All things considered, the span of activity contrasted between gatherings. The specialist expected that any decrease in cholesterol fixation inspired by the mediations would likewise rely upon the member's underlying cholesterol focus. In that capacity, the specialist needed to utilize pre-intercession cholesterol focus as a covariate when contrasting the post-mediation cholesterol fixations between the intercessions and a control gathering. Consequently, the analyst ran a single direction ANCOVA with: (a) post-intercession cholesterol focus (post) as the needy variable; (b) the control and two mediation bunches as levels of the free factor, gathering; and (c) the pre-mediation cholesterol fixations as the covariate,

pre1. Click Analyze > General Linear Model > Univariate

2. The univariate dialogue box will be presented as shown below.

3. Transfer the variables as shown below: The

factor to the dependent variable, thepostinto the fixed factor dialogue box and thegrouping variableshould be entered to the covariate box. The ANCOVA dialogue box is presented below.pre4. Click options and transfer the

to thegroup variabledisplay means for andcheck the compare main effects that will adjust the confidence interval adjustments. Ensure to check descriptive statistics, estimates of effect size, your dialogue box should be as shown below.5. Click the

OKbutton and click continue to get the output.The relevant output is displayed below.

Descriptive statistics output.

The One-Way ANCOVA results.

The test of between-subjects effects _ results.

In this example, you can see that there is a statistically significant difference between adjusted means (

p< .0005).The

can be used to assess how the covariate has adjusted the original variable.estimates table

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