Exam 1

1. Metainformation

   Tag	Value
   file	Assumptions_vufsw-levene's_test-1050-en_vufsw-levene's_test-1050-en
   name	vufsw-levene's test-1050-en
   section	assumptions/homogeneity of variance/levene's test
   type	schoice
   solution	TRUE, FALSE, FALSE, FALSE, FALSE, FALSE
   Type	conceptual
   Program	NA
   Language	English
   Level	statistical literacy

   Question

   You run a MANOVA with 3 dependent variables and equal group sizes for the categories of the independent variable.

   There are 3 Levene’s tests performed. If one of them is statistically [–I–], you can conclude that the assumption of ‘equality of covariance matrices’ is [–II–].

   
   
   1. TRUE: I. significant II. violated
   2. FALSE: I. significant II. not violated
   3. FALSE: I. significant II. not possible to be tested
   4. FALSE: I. insignificant II. violated
   5. FALSE: I. insignificant II. not violated
   6. FALSE: I. insignificant II. not possible to be tested
   
   

   Solution

   In MANOVA there is one Levene’s test performed for every dependent variable. Therefore, there are 3 Levene’s tests done in this case. If one of them is statistically significant, this means that the variances cannot be assumed equal across groups for one of the dependent variables. Therefore, the assumption of the homogeneity of the covariance matrices (which is another word for the equality of variances and covariances) is violated.

   
   
   1. True
   2. False
   3. False
   4. False
   5. False
   6. False