Analysis and data

Analysis

Summary

Ian Gordon disagreed with Dr Johns’ analysis. Ian proposed alternative methods of assessing the weighbridge data; he suggested that the assumption that net weights were uniform over one tonne ranges was questionable, and commented on the selectivity of the analyses presented.

Hear from Ian Gordon

Questions to consider

  • Produce a graphical display that will make the problem with the weights of company 2 apparent to Council members.
  • Consider Dr Johns’ analysis. Review and comment on his assumptions.
  • Do you expect the distribution of net weights within a 1 tonne range to be uniformly distributed? Explain why or why not.
  • Draw graphical displays to describe the distribution of net weights within 1 tonne ranges for different companies.
  • Consider Dr Johns’ conclusion about unusual counts within 1 tonne net weight ranges. Propose and carry out an alternative analysis for the 7 to 8 tonne range for company 11, assuming the uniform model. Are Dr Johns’ conclusions reasonable in this case?
  • Repeat the analysis above for another weight range for company 11.
  • Dr. Johns chose subsets of the data to analyse. Is there a problem with this? How would you overcome it?
  • Has the Dr Johns provided sufficient evidence for his conclusions? Explain why or why not.
  • Is there anything wrong with the weighbridge? Write a brief report to Council.
Boxplots for companies with more than 10 weights recorded between January and June, 1997.
The figure shows boxplots for companies with more than 10 weights recorded between January and June 1997.

Data

Definition of variables in data file

Download Excel data file

Company Garbage collection contractor (Numerical codes for anonymity)
Net weight of garbage (tonnes) Net weight of garbage in tonnes