Exam 1

1. Metainformation

   Tag	Value
   file	Assumptions_vufsw-ratio_of_variance-1377-en_vufsw-ratio_of_variance-1377-en
   name	vufsw-ratio of variance-1377-en
   section	assumptions/homogeneity of variance/ratio of variance
   type	schoice
   solution	FALSE, TRUE, FALSE, FALSE
   Type	interpreting output
   Program	calculator
   Language	English
   Level	statistical thinking

   Question

   Do your music tastes change as you get older? Field expects so and studies this by distinguishing two age groups in an experiment: young adults under 40 and older people, over 40 (variable: age). Both age groups are also randomly split into three smaller groups, and these have to listen to music by Fugazo, Abba, or Barf Grooks (variable: music). Each participant rates the music on a scale from -100 to +100 (variable: liking, a higher score means higher ‘liking’).

    

     

   The ‘variance ratio’ is a way of exploring the assumption of the homogeneity of variances. In this study, 3 is the limit for how many times larger the largest ‘within-group’ variance may be relative to the smallest ‘within-group’ variance.

   Variance ratio = largest ‘within-group variance’/ smallest within-group variance’

   According to the ‘variance ratio’, is the assumption of homogeneity of variances met?

   
   
   1. FALSE: The variance ratio is about 2.6, smaller than 3, therefore we cannot assume equal ‘within-group’ variance between groups
   2. TRUE: The variance ratio is about 2.6, smaller than 3, therefore we can assume equal ‘within-group’ variance between the groups
   3. FALSE: The variance ratio is about 1.6, smaller than 3, therefore we cannot assume equal ‘within-group’ variance between the groups
   4. FALSE: The variance ratio is about 1.6, smaller than 3, therefore we can assume equal ‘within-group’ variance between the groups
   
   
   1. False
   2. True
   3. False
   4. False