Question

In: Statistics and Probability

A developmental psychologist suspects that first-born children tend to develop language skills faster than their younger...

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.    

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