Introduction to Between-Subjects Analysis of Variance: Preliminaries (1 of
4)
Analysis of variance (ANOVA) is used to
test
hypotheses about differences between two or more means. The
t-test based on the standard error of the
difference between two means can only be used to test differences
between two means. When there are more than two means, it is possible
to compare each mean with each other mean using t-tests. However,
conducting multiple t-tests can lead to severe inflation of the
Type I error
rate. (Click
here to see why) Analysis
of variance can be used to test differences among several means for
significance without increasing the Type I
error rate. This chapter covers designs with
between-subject variables. The next chapter covers designs with
within-subject variables.
Consider a hypothetical
experiment on the effect of the intensity of distracting background noise on
reading comprehension. Subjects were randomly assigned to one of three groups.
Subjects in Group 1 were given 30 minutes to read a story without any background
noise. Subjects in Group 2 read the story with moderate background noise,
and subjects in Group 3 read the story in the presence of loud
background noise.