In: Statistics and Probability
A developmental psychologist suspects that first-born children
tend to develop language skills faster than their younger siblings.
An explanation for the phenomenon is that first-borns have
undivided attention from their parents. As such, it is reasonable
that twins and triplets have slower language development than
single children. The psychologist collects measures of language
skills for each child at age 3 in participating families. The data
are below. What can the psychologist conclude with an α of
0.05?
single | twins | triplets |
---|---|---|
9 8 7 10 9 7 6 7 9 7 6 10 |
6 4 10 5 8 6 2 8 7 8 4 8 |
5 7 4 11 4 5 6 4 6 4 8 4 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
p-value = ; Decision: ---Select---
Reject H0 Fail to reject H0
c) Using the SPSS results,
compute the corresponding effect size(s) and indicate
magnitude(s).
η2 = ; ---Select--- na trivial
effect small effect medium effect large effect
d) Make an interpretation based on the
results.
At least one family type (i.e., single, twins, or triplets) is different on language skills.None of the family types (i.e., single, twins, or triplets) differed on language skills.