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# Writing a Statistical Report

 Writing up a report Review of what is needed Worksheet and answers on two examples of conclusions (link to mathstatsfacilitators web site) Research Class notes, Blank notes What is needed (handout) Check list (reduced) Example

### AS 2.9 Inference Checklist

Problem/Question (INTRODUCTION)
General introduction statement - what the report is about
- Variables defined with units
- Groups are defined.
- Population defined (and any assumptions)
- Formed a Comparative Research Question (Variable, groups, 'median', direction, population)
- A prediction is make: ‘I think that...’
- Reason why making your prediction: Why ‘I think that...’

Plan
Use iNZight to:
- Take a random sample,
- Analyse the sample
- Make a box & dot plot
- Display the informal confidence interval bars (save the display image)

Data / Display
- Did you have to ‘clean’ the data’ (discuss)
- Comment on the sampling method,
- Comment on the appropriateness of the sample size.

Analysis / Discussion
Discussion of the SAMPLE:
- Sample statistics comparing two groups.
- Distribution (dot plots) of the two groups symmetry, skew, outliers, gaps, clusters
- Box plots (Initial interpretation, Shape, Centre (middle 50%), Unusual aspects, Spread, Shift / Overlap)

The discussion needs be in context at all levels.
Also consider possible reasons or causes of these features (in the context)
‘I notice ... I expected ... I was surprised that...’

Discussing of sampling variability, including the variability of estimates (ESSENTIAL for Achieve)

Informal Confidence Intervals
- Discussion of what each informal confidence interval means
- Discussion of informal confidence interval overlap / or not
(in context & referring back to the population and how sure you are)
'I can be reasonably sure that...'

Conclusion
- Make a conclusion about the population medians based on their samples taken from the population.
- Discuss errors, bias, omissions, improvements, further research...

- Discuss sampling variability, including the variability of the population estimates.
- An understanding relating to sampling variability and variability of estimates must be evident.
- Discuss the effect of different sample sizes

- Be sure to be clear when you are discussing the sample and when you are discussing the population estimate.