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A Simple Regression That Predicts Multiparty Vote Shares As Well As Katz‑King
Insights from the Field
vote shares
SUR
Katz-King
multiparty elections
Clarify
Methodology
Pol. An.
Dataverse
An Easy & Accurate Regression Model for Multiparty Electoral Data was authored by Michael Tomz, Joshua A. Tucker and Jason Wittenberg. It was published by Cambridge in Pol. An. in 2002.

🔎 Why OLS Falls Short

Katz and King previously argued that ordinary least squares (OLS) is inappropriate when the dependent variable measures each party's share of the vote, and they proposed a specialized alternative (the Katz‑King model). That model aims to respect the compositional nature of vote shares and to improve prediction of vote distributions and parliamentary composition.

⚠️ Practical Limits of the Katz‑King Approach

The Katz‑King model, while statistically principled, requires substantial statistical expertise and becomes computationally demanding when the number of parties exceeds three.

⚙️ A Practical Alternative: Seemingly Unrelated Regression (SUR)

Seemingly unrelated regression (SUR) is offered as a sophisticated yet convenient alternative that preserves the key advantages of Katz‑King while lowering the barriers to use. Key features include:

  • Nearly as easy to apply as OLS
  • Comparable predictive performance to the Katz‑King model for the distribution of votes and the composition of parliament
  • Straightforward scalability to an arbitrarily large number of parties

🧾 How Performance Is Used

SUR is evaluated in terms of its ability to predict vote shares and parliamentary composition; results indicate performance on par with the Katz‑King model without the same computational or expertise costs.

💻 Where To Access It

The SUR implementation has been incorporated into Clarify, a freely available statistical suite on the Internet, making the method immediately accessible to researchers and analysts.

Why It Matters

This approach lowers technical barriers to accurate modeling of multiparty electoral data, enabling wider use of appropriate regression techniques for vote‑share analysis and institutional outcomes.

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