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# Calculating Expected Frequencies in Two Way Tables resources

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### 02. Video Tutorials (2)

Calculating Expected Frequencies
This short video explains the meaning of expected frequencies and how to calculate them in the context of undertaking a Chi-Squared test. The video was scripted by John Marriott (Royal Statistical Society Centre for Statistical Education) and presented by Dr Alun Owen (Loughborough University). This accompanies the case study video which uses a Chi-Squared test to assess whether the type of accomodation university students live in is associated wih their year of study.
Chi-square test using SPSS, interpretation and significance (assumptions violated)
How to use SPSS to compute a chi-square test for 2-way tables and interpret the output when assumptions have been violated (use Fisher's exact or Likelihood ratio instead). Includes choosing a 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.

### 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.

### 08. Staff Resources (4)

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).