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Researcher Quizes R Grate obtains a significant Levene’s test. What has happened? The assumption of homogeneity of variance has been violated Quizes has found out they have an inflated chance of making a Type I error Quizes’ dependent variable was measured on an interval scale The assumption of independence has been violated

Question

Researcher Quizes R Grate obtains a significant Levene’s test. What has happened? The assumption of homogeneity of variance has been violated Quizes has found out they have an inflated chance of making a Type I error Quizes’ dependent variable was measured on an interval scale The assumption of independence has been violated

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Solution 1

The significant Levene's test indicates that the assumption of homogeneity of variance has been violated. This test is used to assess the equality of variances in different samples. If the resulting p-value of Levene's test is less than some significance level (typically 0.05), the obtained differences in sample variances are unlikely to have occurred based on random sampling from a population with equal variances. Thus, the null hypothesis of equal variances is rejected and it is concluded that there is a difference between the variances in the population.

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Solution 2

The significant Levene's test indicates that the assumption of homogeneity of variance has been violated. This means that the variances of the groups being compared are not equal.

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