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9 - Interpretation

Published online by Cambridge University Press:  07 September 2011

D. R. Cox
Affiliation:
University of Oxford
Christl A. Donnelly
Affiliation:
Imperial College London
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Summary

Interpretation is here concerned with relating as deeply as is feasible the conclusions of a statistical analysis to the underlying subjectmatter. Often this concerns attempts to establish causality, discussion of which is a main focus of the chapter. A more specialized aspect involves the role of statistical interaction in this setting.

Introduction

We may draw a broad distinction between two different roles of scientific investigation. One is to describe an aspect of the physical, biological, social or other world as accurately as possible within some given frame of reference. The other is to understand phenomena, typically by relating conclusions at one level of detail to processes at some deeper level.

In line with that distinction, we have made an important, if rather vague, distinction in earlier chapters between analysis and interpretation. In the latter, the subject-matter meaning and consequences of the data are emphasized, and it is obvious that specific subject-matter considerations must figure strongly and that in some contexts the process at work is intrinsically more speculative. Here we discuss some general issues.

Specific topics involve the following interrelated points.

  • To what extent can we understand why the data are as they are rather than just describe patterns of variability?

  • How generally applicable are such conclusions from a study?

  • Given that statistical conclusions are intrinsically about aggregates, to what extent are the conclusions applicable in specific instances?

  • […]

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2011

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  • Interpretation
  • D. R. Cox, University of Oxford, Christl A. Donnelly, Imperial College London
  • Book: Principles of Applied Statistics
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9781139005036.010
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  • Interpretation
  • D. R. Cox, University of Oxford, Christl A. Donnelly, Imperial College London
  • Book: Principles of Applied Statistics
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9781139005036.010
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Interpretation
  • D. R. Cox, University of Oxford, Christl A. Donnelly, Imperial College London
  • Book: Principles of Applied Statistics
  • Online publication: 07 September 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9781139005036.010
Available formats
×