First-born children tend to develop language skills faster than their younger siblings. One possible explanation for this phenomenon is that first-borns have undivided attention from their parents. If this explanation is correct, then it is also reasonable that twins should show slower language development than single children and that triplets should be even slower. Davis (1937) found exactly this result. The following hypothetical data demonstrate the relationship. The dependent variable is a measure of language skill at age 3 for each child. Single Child Twin Triplet 8 6 5 7 4 5 10 6 8 6 7 3 9 4 5 8 9 4 a. Use an ANOVA with α = .05 to determine whether there are any significant mean differences among the three groups of children.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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First-born children tend to develop language skills faster than their younger siblings. One possible explanation for this phenomenon is that first-borns have undivided attention from their parents. If this explanation is correct, then it is also reasonable that twins should show slower language development than single children and that triplets should be even slower. Davis (1937) found exactly this result. The following hypothetical data demonstrate the relationship. The dependent variable is a measure of language skill at age 3 for each child.

Single Child

Twin

Triplet

8

6

5

7

4

5

10

6

8

6

7

3

9

4

5

8

9

4

a. Use an ANOVA with α = .05 to determine whether there are any significant mean differences among the three groups of children.

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