04

The CDR Index — Measurement and Data

How abstract institutional qualities are standardized into a globally comparable composite index

Learning Objectives

  • Apply the standardization formulas to convert raw country data into the [0,1] CDR variables
  • Identify the data sources for each variable and understand their limitations (e.g., C excludes privately traded capital)
  • Interpret the CDR index = CDRs (sum) + CDRp (product) decomposition

Variable Standardization Formulas

  • g = (G − Gmin) / (Gmax − Gmin)
  • C = (Cappc − Capmin) / (Capmax − Capmin)
  • D = (Drank,low − Drank) / (Drank,low − Drank,high)
  • R = (Corrrank,low − Corrrank) / (Corrrank,low − Corrrank,high)
  • N = (NRpc − NRmin) / (NRmax − NRmin)

Data Sources

  • GDPppp: IMF (constant international $2014)
  • Capitalism: Index Mundi / total market capitalization (US$)
  • Democracy: Democracy Ranking (rank-ordered, 1 = most democratic)
  • Rule of Law: Transparency International Corruption Perceptions Index (inverted)
  • Natural Resources: World Bank — total resource rents per capita
  • Latitude: La Porta et al. (1999) — instrumental variable for 2SLS
CDR Index Decomposition
CDR index = CDRs + CDRp
CDRs (sum index) = 1.53·C + 0.14·D + 0.23·R
CDRp (product index) = −1.21·C·D·R
The negative CDRp term represents democratic friction — decision-making disagreement that reduces G from its theoretical maximum. All variables standardized to [0,1]. Data: 79 countries, year 2014 baseline; re-estimated 1995–2016 with identical results (global time invariance).
CountryGDPppp ($)CDRCDR indexN

Click any column header to sort. This is the 8-country example table reproduced from the outline (P1 Tables 1–2 / P3 Table 1 contain the full 79-country panel).

Live CDR Index & Predicted GDP Calculator real OLS formula

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CDR index (CDRs+CDRp)
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Predicted ĝ (OLS)
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Predicted GDPppp
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Actual GDPppp (if example loaded)
Uses the real published OLS equation from §6: ĝ = 1.53C + 0.14D + 0.23R − 1.21·C·D·R + 0.38N, inverse-transformed with Gmax=$83,066 (Singapore) and Gmin=$1,112 as in Applied Exercise 2 (§12).
Sources
P1 · §3 Data (Tables 1 & 2: 79-country data), §4 Analysis (variable definitions), pp. 3–6 P3 · §3 CDR Index Definitions, Table 1 (21-country standardized data), Appendix A (raw data), pp. 4–6, 17 P4 · §4 Global Time Invariant CDR model (standardization), Table 1 (year panel), pp. 6–8