Module title: Research Methods and Analysis 2 Module code: 4PS046 Level 4 Resit details CW2: Portfolio of statistical exercises (40% weighting) Note the details of the assessment are as for the first...

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Module title: Research Methods and Analysis 2
Module code: 4PS046
Level 4
Resit details
CW2: Portfolio of statistical exercises (40% weighting)
Note the details of the assessment are as for the first sit, with the exception that you will need to obtain a new dataset. Details of the username and password for the resit dataset can be found in this document.
Assesses Learning outcomes 3 & 4
Preamble
For the assignment you have been given brief background details of a research project and you are required to produce a portfolio of short reports. Portfolios are to be worked on individually and each of you will receive a unique set of data. To access your data you will need to click into the datagenerator and then add a new dataset( details of username and password for the dataset can be found below) .
You should analyse the dataset and report your findings in a format suitable for publication in a journal. You should include relevant SPSS printouts with your report. Inclusion of the SPSS output is a pass/fail element of the assignment
Note that the reports you will produce are very short, but they are designed to test your understanding and interpretation of statistical analyses. For this reason the module team will not help you with queries specific to the assignment (‘What test should I use for question 3?’ etc) but will give generic help (‘If I want to explore the relationship between two variables what test should I use?’)
Background Information
A developmental psychologist was interested in children’s construction play and the factors which determined the ease with which children are able to construct models. He designed a study in which children were tested for Spatial Working Memory and then presented with a series of Lego models of varying complexity to build at age 8 and retested when they were 12 years old. Spatial Working Memory scores at age 8 were used to categorise the children as having either high or low spatial ability.

As the psychological literature suggests that there are sex differences in spatial ability he also noted the sex of each of his participants. During both Lego tasks all participants were presented with 8 models in random order, which were designed to be of varying difficulty and a mean time taken to assemble the models was calculated. Data were collected across a range of variables, some of which are presented here.
Sex: Male or Female
SWM8: Score on spatial working memory task aged 8
SWM12: Score on spatial working memory task aged 12
SpAb8: Participants designated as either high or low in spatial ability aged 8
MeanTim8: Mean time taken across all models aged 8
MeanTim12: Mean time taken across all models aged 12
The data collected can be accessed via the data generator page
http://psychology.derby.ac.uk/system/dataset/index.php
You will need to add the following dataset
Username: RMAS2010RESIT
Password: falcon
For each of the following questions you should:
• Produce a testable hypothesis,
• Perform an appropriate statistical analysis
• Report the findings of your analysis in the correct format
• State what can be concluded from the analysis

Research Questions
1. Is there any support for the idea that there are sex differences in high and low spatial ability at age 8?
2. Is there any difference in the mean time taken by those of high and low spatial ability to build the Lego models when tested at age 8?
3. Is there any difference in the mean time taken to build the Lego Models at age 8 and age 12?
4. Is there a relationship between Spatial Working Memory scores at age 8 and Spatial Working Memory scores at age 12?
5. Does Spatial Working Memory score at age 8 predict the mean time taken to build the Lego models at age 12?
Answered Same DayDec 20, 2021

Answer To: Module title: Research Methods and Analysis 2 Module code: 4PS046 Level 4 Resit details CW2:...

Robert answered on Dec 20 2021
121 Votes
A1) Here we will use the chi square test of independence.
HO: There is no relation between sex category and spatial ability at age.

H1:There is a relation between sex category and spatial ability at age.
Test statistic: 


i i
ii
e
eo 22 )(
The SPSS output is attached:
Sex * SpAb8 Crosstabulation
Count
SpAb8
Total High Low
Sex Female 21 19 40
Male 20 20 40
Total 41 39 80
Chi-Square Tests
Value df
Asymp. Sig. (2-
sided)
Exact Sig. (2-
sided)
Exact Sig. (1-
sided)
Pearson Chi-Square .050
a
1 .823
Continuity Correction
b
.000 1 1.000
Likelihood Ratio .050 1 .823
Fisher's Exact Test 1.000 .500
Linear-by-Linear Association .049 1 .824
N of Valid Cases
b
80
a. 0 cells (.0%) have expected count less than 5. The minimum expected count is 19.50.
b. Computed only for a 2x2 table

From the chi-Square Tests table, we can see that the p value is 0.823, which is more than 0.05, thus
we conclude that there is no support for the idea that there are sex differences in high and low
spatial ability at age 8.
A2) Here we will use the independent sample t test .
Let
1 be the population mean time taken by those with high spatial ability and 2 be the mean
time taken by those with low spatial ability.
H0: 1 = 2
H1:
1  2
Test...
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