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# Chi-Squared Tests for Two-Way (Contingency) Tables resources

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### 01. Case Study Videos (1)

Case Study Using Chi-squared tests for Contingency Tables
In this case study video, a Chi-Squared test is used to assess whether the type of accomodation university students live in is associated wih their year of study. The video was scripted by John Marriott (Royal Statistical Society Centre for Statistical Education) and presented by Dr Alun Owen (Loughborough University) and Steve Joiner and Nick Blenkin (both Coventry University). There are also two accompanying video resources listed with this case study; one which explains the Problem Sovling Approach (PSA) used to handle this type of problem; and another which looks in more detail at how to caclulate expected frequencies when undertaking Chi-Squared tests.

### 02. Video Tutorials (1)

Chi-square test using SPSS, interpretation and significance (assumptions NOT violated)
How to use SPSS to compute a chi-square test for 2-way tables and interpret the output (including coefficient, effect size and corresponding p-value). This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Cheryl Voake-Jones, University of Bath. It was developed with sigma resource development funding.

### 03. Teach Yourself Worksheets (4)

Chi-Squared Tests of Association (Worksheet)
This teach yourself worksheet will show you how to perform a Chi-Squared test for association when you have a contingency table formed from two categorical variables. The focus is on hand calculation but also includes some nots on how to do this using SPSS.
Chi-Squared tests of Association Using SPSS (Worksheet)
This yourself worksheet provides an introduction to undertaking chi-sqaured tests of associaton for a two-way contingency table using SPSS. Note that the SPSS data set colours.sav referred to in the worksheet is also available here.
Chi-Squared tests of Association Using SPSS (Worksheet) Data Set colours.sav
This is a zip file containing the SPSS data set called colours.sav for use with Chi-Squared tests of Association Using SPSS (Worksheet). Note: please save this file to your PC before extracting its contents.
Introduction to Hypothesis Testing (Worksheet)
This teach yourself worksheet provides an overview of the framework used in hypothesis (significance) testing.

### 04. Tests and Quizzes (1)

Business Statistics 5 - Numbas
3 questions. 1. Uses the chi-squared test to see if there is any significant difference in preferences. 2. Find out whether the data presented in this question follows a Poisson distribution. Uses the chi-squared test. 3. The human resources department of a large finance company is attempting to determine if an employee's performance is influenced by their undergraduate degree subject. Personnel ratings are used to judge performance and the task is to use expected frequencies and the chi-squared statistic to test the null hypothesis that there is no association. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

### 07. Community Project (2)

9 Nonparametric testing (Workshop SOURCE)
This PowerPoint workshop provides an introduction to nonparametric testing. This resource has been contributed to the statstutor Community Project by Peter Samuels, Birmingham City University under a Creative Commons licence CC-BY-SA and reviewed by Ellen Marshall, University of Sheffield. The zip file contains two associated data files, the source file and the associated statstutor metadata spreadsheet.
Chi-squared test SOURCE
A Quick Reference worksheet on the Chi-squared test for Two-Way Tables. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and Peter Samuels, Birmingham City under a Creative Commons licence CC-BY-SA and reviewed by Ellen Marshall, University of Sheffield. The zip file contains two data files, the source file and the associated statstutor metadata spreadsheet.

### 08. Staff Resources (5)

Data for SPSS Workbook for New Statistics Tutors (Excel file)
Data sets for the self-study training resource for new statistics tutors entitled "SPSS Workbook for New Statistics Tutors". These were developed by Ellen Marshall (University of Sheffield) and reviewed by Jean Russell (University of Sheffield).
Introductory Statistics and Hypothesis Testing (PowerPoint Workshop)
These slides are aimed to be used in a workshop to train mathematics (or new statistics) tutors who need to provide statistics support. They cover key topics including hypothesis testing and choosing the right test. These slides were developed and contributed to the statstutor Community Project by Alun Owen (University of Worcester) and Ellen Marshall (University of Sheffield) and reviewed by Ruth Fairclough (University of Wolverhampton).
Solutions for SPSS Workbook for New Statistics Tutors
Solutions to the self-study training resource for new statistics tutors entitled "SPSS Workbook for New Statistics Tutors". These were developed and contributed to the statstutor Community Project by Ellen Marshall (University of Sheffield) and reviewed by Jean Russell (University of Sheffield).
SPSS Workbook for New Statistics Tutors
This is a paper-based scenario aimed to be used as part of the tutor training workshop using the resource entitled "Introductory Statistics and Hypothesis Testing". This was developed and contributed to the statstutor Community Project by Alun Owen (University of Worcester) and Ellen Marshall (University of Sheffield) and reviewed by Jean Russell (University of Sheffield).
The Statistics Tutor's Quick Guide to Commonly Used Statistical Tests
A handy quick guide to statistical tests and techniques for those providing statistics support. This covers when to use each technique along with the interpretation of results, checking assumptions and what to do if the assumptions are not met. This was developed by the MASH Centre at the University of Sheffield and contributed to the statstutor Community Project by Ellen Marshall (University of Sheffield) and Alun Owen (University of Worcester) and reviewed by Jean Russell and Nick Fieller, (University of Sheffield).

### 10. Workshops (1)

9 Nonparametric testing (Workshop)
This PowerPoint workshop provides an introduction to nonparametric testing. This resource has been contributed to the statstutor Community Project by Peter Samuels, Birmingham City University and reviewed by Ellen Marshall, University of Sheffield. The zip file contains two associated data files.

### 11. Quick reference worksheet (1)

Chi-squared test
A Quick Reference worksheet on the Chi-squared test for Two-Way Tables. The zip file contains the pdf worksheet and two Excel data files that accompany it. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and Peter Samuels, Birmingham City University and reviewed by Ellen Marshall, University of Sheffield. The zip file contains two associated data files.

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