# t-tests and Comparing Means resources

### 02. Video Tutorials (5)

Compute z-scores for variables in SPSS

How to use SPSS to compute z-scores for a variable. Choose one of two available methods. This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Tim Sparks, Coventry University. It was developed with sigma resource development funding.

Interpret SPSS output for a paired t-test

How to interpret SPSS output for a paired t-test. Includes the p-value and confidence intervals for the mean difference. This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Jonathan Gillard, Cardiff University. It was developed with sigma resource development funding.

Interpret SPSS output for an independent t-test

How to interpret SPSS output for an independent t-test (also known as a two-sample t-test). Includes Levene's test for homogeneity of variance, p-value and confidence intervals for the mean difference. This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Jonathan Gillard, Cardiff University. It was developed with sigma resource development funding.

Run a paired t-test in SPSS

How to use SPSS to run a paired t-test This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Jonathan Gillard, Cardiff University. It was developed with sigma resource development funding.

Run an independent t-test in SPSS

How to use SPSS to run an independent two sample t-test. This resource from the "SPSS Tutorial Series" is contributed to the statstutor Community project by Christine Pereira, Brunel University and reviewed by Jonathan Gillard, Cardiff University. It was developed with sigma resource development funding.

### 04. Tests and Quizzes (8)

A suite of statistics e-Assessments - Stand-alone resources

DEWIS statistics e-Assessments Learning Modules are concerned with the application of SPSS to the appropriate one sample location test of a data set; t-test, Wilcoxon signed-rank test or Binomial (Sign) test. You may choose examples from a variety of scenarios across a range of disciplines.

A suite of statistics e-Assessments with supporting materials

These DEWIS Learning Modules are concerned with the application of SPSS to the appropriate one sample location test of a data set; t-test, Wilcoxon signed-rank test or Binomial (Sign) test.
You may choose examples from a variety of scenarios across a range of disciplines.
The accompanying notes (http://dewisprod.uwe.ac.uk/projects/sigma/PDF/DEWIS_intro.pdf) describe the process of initially exploring your data and then identifying the recommended test. You may choose to complete these modules in the natural order of an analysis, but you may also attempt modules independently in any order if desired. You are not restricted either to only performing the recommended appropriate test, however you will be told at the beginning of a test module whether it is the recommended test or not.
You will be given a data set to download which has a reference number. You can log out of DEWIS and return at a later date to complete modules after telling DEWIS the reference number of the data set you wish to be tested on. Each data set is generated randomly and thus you can have multiple attempts at the same scenario with a variety of data sets that will cover the various experiences that you will encounter when analysing data; i.e. data that is appropriate for any one of the three tests and that may or may not have a significant effect.
It is recommended that before you use the e-Assessments you download the accompanying notes (http://dewisprod.uwe.ac.uk/projects/sigma/PDF/DEWIS_intro.pdf) and watch this video (http://dewisprod.uwe.ac.uk/projects/sigma/DEWISdemo/DEWISdemo.htm) that demonstrates the use of the learning modules. In particular please note that the e-Assessment marks to the accuracy that SPSS outputs various summary statistics when the data is displayed in the Data View to the recorded accuracy.
Click here (http://dewisprod.uwe.ac.uk/projects/sigma-stats.html) to access DEWIS.
The feedback within DEWIS provides links to videos and pdf instruction pamphlets. These are also available as stand-alone resources from here (http://dewisprod.uwe.ac.uk/projects/sigma/info/index.html).
These resources have been made available under a Creative Commons licence by Iain Weir, Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol and reviewed by Nadarajah Ramesh, University of Greenwich following a sigma Resource Development Grant.

A suite of statistics e-Assessments with supporting materials - Notes

DEWIS statistics e-Assessments Learning Modules are concerned with the application of SPSS to the appropriate one sample location test of a data set; t-test, Wilcoxon signed-rank test or Binomial (Sign) test.
You may choose examples from a variety of scenarios across a range of disciplines.
These notes describe the process of initially exploring your data and then
identifying the recommended test. You may choose to complete these modules in the natural
order of an analysis, but you may also attempt modules independently in any order if
desired. You are not restricted either to only performing the recommended appropriate test,
however you will be told at the beginning of a test module whether it is the recommended
test or not.

A suite of statistics e-Assessments with supporting materials - Video transcripts

Transcripts for the videos included in the suite of statistics e-Assessment resources. These DEWIS Learning Modules are concerned with the application of SPSS to the appropriate one sample location test of a data set; t-test, Wilcoxon signed-rank test or Binomial (Sign) test. You may choose examples from a variety of scenarios across a range of disciplines. These resources have been made available under a Creative Commons licence by Iain Weir, Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol and reviewed by Nadarajah Ramesh, University of Greenwich.

Business Statistics 4 - Numbas

5 questions. 1. Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included. 2. Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included. 3. Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis. 4. Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis. 5. Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation. Link to use of t tables and p-values in Show steps. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

Business statistics 4 - Numbas

5 questions on confidence intervals and hypothesis testing. Population variance given, z-test. Not given, t-test. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christain Perfect, School of Mathematics & Statistics at Newcastle University.

Hypothesis testing with the Student t-distribution - Numbas

Three questions on using the Student $t$ distribution to perform hypothesis tests.

Parametric hypothesis testing for psychology - Numbas

Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christain Perfect, School of Mathematics & Statistics at Newcastle University.

### 07. Community Project (4)

8 Parametric Testing (Workshop SOURCE)

This PowerPoint workshop provides an introduction to parametric testing using SPSS. 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 an associated data file, the source file and the associated statstutor metadata spreadsheet.

Independent samples t-test SOURCE

A Quick Reference worksheet on an introduction to the independent samples t-test. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and 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 the source file and the associated statstutor metadata spreadsheet.

Paired samples t-test SOURCE

A Quick Reference worksheet on the paired samples t-test. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and 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 the source file and the associated statstutor metadata spreadsheet.

Statistical hypothesis testing SOURCE

A Quick Reference worksheet on an introduction to statistical hypothesis testing. This resource has been contributed to the statstutor Community Project by Mollie Gilchrist and 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 the source file and the associated statstutor metadata spreadsheet.

### 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).

### 10. Workshops (1)

8 Parametric testing (Workshop)

This PowerPoint workshop provides an introduction to parametric testing using SPSS. 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 an associated data file.

### 11. Quick reference worksheet (3)

Independent samples t-test

A Quick Reference worksheet on an introduction to the independent samples t-test. 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.

Paired samples t-test

A Quick Reference worksheet on the paired samples t-test. 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.

Statistical hypothesis testing

A Quick Reference worksheet on an introduction to statistical hypothesis testing. 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.