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Methods Appendix

Published online by Cambridge University Press:  18 December 2013

Justin Grimmer
Affiliation:
Stanford University, California
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Summary

This appendix provides methodological details for the statistical model introduced in Chapter 4. It also details the data-generation process for latent Dirichlet allocation (Blei et al. 2003) used in Chapter 2 to examine the articles that cite Fenno (1978).

STATISTICAL MODEL AND ESTIMATION

Suppose that each senator i during each year in which he or she is in Congress t (t = 2005, 2006, 2007) can allocate attention to K (k = 1, …, K) issues in his or her press releases. Represent the attention senator i allocates to issue k during legislative session t as πitk· πitk is the expected proportion of press releases from senator i that is about the kth issue. Collect the attention a senator allocates to all K issues during a session into the vector πit = (πit1, …, πit K).

The attention a senator allocates to the issues probabilistically determines the topic of each press release. Suppose that each press release j (j = 1,…, Dit)from senator i in the tth session has only one topic, which I represent with τitj:if τitjk = 1, then the press release is about the kth topic, and the other K – 1elements of τitj are equal to zero. It follows that τitj is a draw from a multinomial distribution:

τijtπit ∼ multinomial(1, πit)

Given the topic of each press release, I draw its content. As a result of the preprocessing steps, I represent the jth press release from senator i in the tth legislative session as a count vector yijt, where typical element yijtz counts the number of times the zth word appears in press release yijt.

Type
Chapter
Information
Representational Style in Congress
What Legislators Say and Why It Matters
, pp. 171 - 182
Publisher: Cambridge University Press
Print publication year: 2013

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  • Methods Appendix
  • Justin Grimmer, Stanford University, California
  • Book: Representational Style in Congress
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139207782.011
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  • Methods Appendix
  • Justin Grimmer, Stanford University, California
  • Book: Representational Style in Congress
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139207782.011
Available formats
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Save book to Google Drive

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.

  • Methods Appendix
  • Justin Grimmer, Stanford University, California
  • Book: Representational Style in Congress
  • Online publication: 18 December 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139207782.011
Available formats
×