Statistics Assessment

SPSS Statistics Assessment

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Statistics Assessment
Quantitative Methods in Social Research
In this assignment you will need a) to answer some general questions about quantitative data analysis and b) to answer some questions using data taken from the 2016 British Social Attitudes Survey. All questions must be answered.
1. The following questions are about measurement
a) List the different levels a variable may take and describe the properties of the levels.
b) List the level of measurement that has been used for each of the variables in the dataset (other than the serial number)? Do not use the level of measurement in the data file. They have all been set to scale.
c) How do variables’ levels of measurement affect statistical analyses? Give examples.

2. You are required to report some descriptive statistics. Report your findings using any charts or tables you think are appropriate.
a) Report two measures of dispersion and two measures of central tendency of the percentage of taxpayers that members of the sample believe have used a loophole to reduce the amount of tax they pay without breaking the law?
b) What percentage of the sample have heard of Greenpeace on radio, TV, newspapers or somewhere else? (report valid percent)
3. The following questions are about the number of hour respondents normally work each week.
a) What is the greatest number of hours a respondent reported normally working each week?
b) Recode the variable measuring how many hours respondents normally work per week into the following categories: 10-20 hours, 21- 40 hours, 41- 60 hours and more than 60 hours. Display the proportions in each category using appropriate tables and charts.
c) What percentage of respondents who work more than 60 hours agree strongly that the welfare state encourages people to stop helping each other?

4. The following question are about the age respondents expect to retire and when they left education.

a) Report the confidence interval of the mean age respondents expect to retire from their main job. Please give an interpretation of your results.
b) Is the mean age respondents said they completed continuous full time education different from 17? Please give an interpretation of your results.

5. The following question is about hypothesis testing and statistical significance.
a) In your own words, i) define the concept of a sampling distribution, and ii) describe its role in statistical inference.

6. The following questions are about behavioural and attitudinal differences between members of the sample. For each question you must select the appropriate test of significance, report relevant SPSS output and an interpretation of your results.
a) Is a respondent’s sex independent of their belief that transgender people have gone through this process because of a very superficial and temporary need? Which test did you use and was it statistically significant?
b) How does the mean number of cars and vans respondents’ households have access to differ by race? Which test did you use and was it statistically significant?
c) Produce a measure of association between respondents’ age and the measure of how wrong they think it is for adults to watch pornography? Which test did you use and was it statistically significant?
d) How does the mean per cent of hip replacement patients that respondents think will feel better after six months differ across men and women? Which test did you use and was it statistically significant?

7. The following questions are about modelling the relationship between respondents’ beliefs about the percentage of people receiving benefits who have broken the law by giving false information to increase their benefit payments and their libertarianism/authoritarianism. Please include all relevant SPSS output and interpret your results.
a) Model respondents’ beliefs about the percentage of people receiving benefits who have broken the law by giving false information to increase their benefits as a function of their libertarianism/authoritarianism. What is the expected change in the percentage of the population that respondents believe have broken the law by giving false information to increase their benefit payments with a unit change in their libertarian/authoritarian score?
b) What is the correlation between the two variables?
c) Display in a graph the relationship between the two variables.
d) What is the proportionate reduction in error in predicting respondents’ beliefs about the percentage of the population who have broken the law by giving false information to increase their benefits by modelling them as a function of their libertarian/authoritarian score?

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