Please read the following blurb and then answer the below questions.

A researcher is interested in the notion of cognitive flexibility, and ability to adapt cognitive skills to novel problems and situations. It is proposed that this ability is underdeveloped in younger children, but is prominently displayed when children reach around the age of XXXXXXXXXXIn order to test this, the researcher devises a test of cognitive flexibility which she administers to children of varying ages by selecting 4 grades in a comprehensive school. Grade 2 children are typically 6-7 years old, Grade 4 children 8-9, grade 6 children 10-11 and Grade 8 children 12-13 years old. Descriptive statistics gathered from random samples from each grade of n=5 children’s scores on the cognitive flexibility test from each of the 4 grades are presented below:

Descriptives

cognitive flexibility score

N Mean

Std. Dev.

XXXXXXXXXX XXXXXXXXXX

3.86618

Std. Error

XXXXXXXXXX XXXXXXXXXX

.86450

Grade 2 Grade 4 Grade 6 Grade 8

Total

XXXXXXXXXX XXXXXXXXXX

XXXXXXXXXX

Write out a set of contrasts that fully account for all of the variation between grades and which allow the researcher’s main expectation to be tested. Specify which contrast tests the main expectation.(2 marks)

What is the sample value of the contrast that assesses the main expectation of the researcher? (2 marks)

What error rate basis could the researcher select in order to perform her analysis? Briefly justify your answer. (2 marks)

Could the researcher have used an alternative analysis strategy to analyse the data, still addressing her research question? If so write out this alternative set of contrasts and again specify which contrast tests the main expectation. (2 marks)

What would the researcher write in the SPSS syntax window in order to test the contrasts generated in either (a) or (d) above? In your answer, specify if you are using the contrasts from (a) or (d). (2 marks)

Answered 32 days AfterOct 28, 2017

Solution

a. Contrasts

The contrasts used for all of the variations between grades are(0, 0, -1, 1)

N

Mean

Std. Dev

Std. E

o

Grade 2

5

2

2.23607

1.00000

Grade 4

5

3

2.23607

1.00000

Grade 6

5

5

2.64575

1.18322

Grade 8

5

10

2.54951

1.14018

Total

20

5

3.86618

0.86450

Here, the contrast test for Grade 8 is the main expectation

. The sample value of the contrast that can assess the main expectation of the researcher is (0, 0,...

a. Contrasts

The contrasts used for all of the variations between grades are(0, 0, -1, 1)

N

Mean

Std. Dev

Std. E

o

Grade 2

5

2

2.23607

1.00000

Grade 4

5

3

2.23607

1.00000

Grade 6

5

5

2.64575

1.18322

Grade 8

5

10

2.54951

1.14018

Total

20

5

3.86618

0.86450

Here, the contrast test for Grade 8 is the main expectation

. The sample value of the contrast that can assess the main expectation of the researcher is (0, 0,...

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