# Why does the df value decrease in SPSS if we did not pass Leuven's test example?

pedzenekO 2020-11-11 Answered
Why does the df value decrease in SPSS if we did not pass Leuven's test example?
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## Expert Answer

gwibdaithq
Answered 2020-11-12 Author has 84 answers

Null and alternative hypothesis in order to apply Levene’s test:
Levene’s test is used to test the homogeneity of variances of different populations.
Denote the variance of population-1 as ${\sigma }_{1}^{2}$ and variance of population-2 as
${\sigma }_{2}^{2}.$
The test hypotheses are given below:
Null hypothesis
That is, the variances of both the populations are equal.
Alternative hypothesis MSK That is, the variance of population-1 is significantly different from the variance of population-2.
Levene’s test will be applied by assuming the populations being compared are normal.
When Levene's Test, this would mean that the variance was different for different groups.
Therefore, The means will be equal and the variances will be different.
Levene’s test will be failed when the null hypothesis is rejected.
The null hypothesis will be rejected when the P-value is small.
The P­-value will be small when the degrees of freedom is small.
Thus, the df value will be decreases if we fail the Levene’s test.

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