USING DUMMY VARIABLES OUTLINE 1 Types of relationship

USING DUMMY VARIABLES

OUTLINE 1. Types of relationship: spurious, enhancement, specification (interactive) 2. Creating “dummy” variables 3. Using dummy variables: ü In enhancement relationships (change of intercept but not of slope) ü In interactive relationships (change of slope as well as of intercept) 4. Illustration: Religion, Wealth, and Politics

TYPES OF RELATIONSHIP • Spurious (relationship between Y and X 1 vanishes in presence of X 2) • Enhancement (inclusion of X 2 yields higher R 2 than equation with just X 1—i. e. , affects strength of relationship) • Specification--or “interaction” (inclusion of X 2 affects form of relationship between Y and X 1)

CREATING “DUMMY” VARIABLES • Transform categorical variables into intervalscale variables • Coding convention: 0, 1 • Binary form for each permutation: e. g. , North (0, 1), South (0, 1), East (0, 1), West (0, 1)

ILLUSTRATION 1: RELIGION, WEALTH, AND POLITICS Y = support for Democratic Party (%) X 1 = per capita wealth X 2 = predominant religion (0 = non-Catholic, 1 = Catholic; 0 = non-Jewish, 1 = Jewish; 0 = non-Protestant, 1 = Protestant)

ILLUSTRATION 2: GOVERNMENTAL PERFORMANCE AND POLITICAL REGIMES

PROBLEMS AND QUESTIONS Disenchantment with democracy in Latin America—are popular judgments fair? 1. How to assess democratic performance in Latin America? 2. What comparison group for Latin America? 3. How to measure democratic vs. nondemocratic performance across comparison group?

BASIC HYPOTHESES • H 1: The greater the prevalence of democratic rule, the greater the provision of material benefits. • H 2: The greater the prevalence of undemocratic (authoritarian) rule, the greater the provision of material benefits. • H 3: The prevalence of democratic or undemocratic rule bears no systematic relationship to the relative provision of material benefits.

DATA AND VARIABLES • Universe=Middle income countries— 55 in lower-middle, 41 in upper-middle, N=96 • Time frame=1990 -2004 • Units of analysis=country-years • Dependent variables= – Annual GDP growth rate (%) – Infant Mortality (per 1, 000) – Primary School Enrollment (%)

INDEPENDENT VARIABLES • Region @ World Bank (0, 1) • Democracy @ Freedom House (0, 1) • Level of democracy @ Smith, Ziegler: – Liberal (0, 1) – Illiberal (0, 1) – Semidemocratic (0, 1) – Nondemocratic (0, 0) • Note: Use of dummy variables

CONTROL VARIABLES • Wealth: – Upper/lower income bracket (0, 1) – GDP per capita (1990, 2000) • Structure: – Manufacturing as % GDP (1990, 2000)

FORMAT FOR REGRESSIONS Ŷ = a + b 1 Wealth + b 2 Structure + bi. Regioni … bk. Regionk Ŷ = a + b 1 Wealth + b 2 Structure + b 3 Democracy

POLITICAL DETERMINANTS __Growth__ (1, 088) Democracy (0, 1) Nondemocracy (0, 0) Constant: R 2 . 4206 ----- __Mortality__ __Schooling__ (277) (369) -10. 1158* ---- 6. 0896* ---- 3. 9562* 84. 2483* 77. 0707* . 0822 . 5336 . 1758 *Significant at. 001 level or better.

DEMOCRACY BY REGION __ Growth__ (1, 032) __ Mortality__ (266) __ Schooling__ (346) Latin American & Caribbean Democracy (0, 1) . 2373 -11. 8388* 8. 5104* Other Democracy (0, 1) . 3569 -10. 4353* 4. 5804* Nondemocracy (0, 0) ---- Constant: 3. 9008* R 2 . 0690 *Significant at. 01 level or better. ---- 83. 8488* 76. 6599* . 5336 . 2027

IMPLICATIONS… #1. Democratic governments in Latin America and elsewhere have performed at least as well as authoritarian regimes in promoting economic growth. #2. Democratic governments in Latin America and elsewhere have consistently outperformed authoritarian regimes with regard to infant mortality and school attendance. #3. The deeper the democracy, the greater the provision of fundamental social benefits. [not shown here]

… AND CAVEATS Analysis of variance around the mean does not resolve legitimate public concern about the level of the mean: Average growth is 3. 2% not 8. 2%. Mean infant mortality is 30 per 1, 000 not 10. Average primary school attendance is 89% instead of 99%. And so on.