PSY248 Assignment 2 2017

Due 5pm Friday 3rd November 2017

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 23 days AfterNov 07, 2017PSY248

a) The variation in dispersion between grades is measured by the value of standard deviation. From the table given below I observed that the standard deviation of cognitive flexibility score for grade 2, 4, 6 and 8 is approximately the same. Hence the assumption of homogeneity of variance between different groups seems satisfied for the application of one way ANOVA.

The main measure of variation in central tendency is mean cognitive flexibility score between the grades. I use one way ANOVA to test this. Consider the null hypothesis that there is no significant difference between the main cognitive flexibility score between Grade 2, 4, 6 and 8. This is tested against and alternative hypothesis that at least one of the main cognitive flexibility score between Grade 2, 4, 6 and 8 differ significantly.

It is prefe

ed to use one way ANOVA and then apply Post Hoc analysis to test which pair differs significantly.

) The sample value of mean cognitive flexibility score between different grades that assesses the main expectation of the researcher is given below.

mean...

The main measure of variation in central tendency is mean cognitive flexibility score between the grades. I use one way ANOVA to test this. Consider the null hypothesis that there is no significant difference between the main cognitive flexibility score between Grade 2, 4, 6 and 8. This is tested against and alternative hypothesis that at least one of the main cognitive flexibility score between Grade 2, 4, 6 and 8 differ significantly.

It is prefe

ed to use one way ANOVA and then apply Post Hoc analysis to test which pair differs significantly.

) The sample value of mean cognitive flexibility score between different grades that assesses the main expectation of the researcher is given below.

mean...

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