# stats10 - Monday, October 18 POLS4150 RESEARCH METHODS IN...

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Monday, October 18 http://emwilk.myweb.uga.edu/POLS4150.html Course Webpage: POLS4150 – RESEARCH METHODS IN POLITICAL SCIENCE (90595) This Week: Cross-Tabs Hypothesis Testing: Chi-Square

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Chapter 12 Bivariate statistics – examines the relationship between 2 variables Cross Tabulation (Cross-Tab) – frequency distribution of two variables (IVAR & DVAR)
Example: Congressional vote choice House Vote (Y) Rep Ideology (X) Lib. Con. Dem Mod. N= 1,264 247 70 232 160 195 360 317 392 555 674 590 % % % Cross-tabs

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Cross-tabs Marginal Relative Frequencies – distribution for each variable Distribution for House Vote % of Democrat = 674 / 1,264 = 53.3% % = (ƒ/n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % %
Cross-tabs Marginal Relative Frequencies – distribution for each variable Distribution for House Vote % of Republican = 590 / 1,264 = 46.7% % = (ƒ/n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7%

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Cross-tabs Marginal Relative Frequencies – distribution for each variable Distribution for Ideology % Liberal = 317 / 1,264 = 25.1% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7%
Cross-tabs Marginal Relative Frequencies – distribution for each variable % Moderate = 392 / 1,264 = 31.0% % = (ƒ/n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1%

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Cross-tabs Marginal Relative Frequencies – distribution for each variable Distribution for Ideology % Conservative = 555 / 1,264 = 43.9% % = (ƒ/n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0%
Cross-tabs Marginal Relative Frequencies – distribution for each variable House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9%

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Cross-tabs Ideology (X) Joint relative frequencies – percentage of cases that take on a particular value of the IVAR and a particular value of the DVAR % Liberal AND Vote Dem = 247 / 1,264 = 19.5% % = (ƒ /n) X 100% House Vote (Y) Rep Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9% 19.5%
Cross-tabs Joint relative frequencies – percentage of cases that take on a particular value of the IVAR and a particular value of the DVAR % Moderate AND Vote Dem = 232 / 1,264 = 18.4% % = (ƒ /n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9% 19.5% 18.4%

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Cross-tabs Joint relative frequencies – percentage of cases that take on a particular value of the IVAR and a particular value of the DVAR % Conservative AND Vote Dem = 195 / 1,264 = 15.4% % = (ƒ /n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9% 19.5% 18.4% 15.4%
Cross-tabs Joint relative frequencies – percentage of cases that take on a particular value of the IVAR and a particular value of the DVAR % Liberal AND Vote Rep = 70 / 1,264 = 5.5% % = (ƒ /n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9% 19.5% 18.4% 15.4% 5.5%

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Cross-tabs Joint relative frequencies – percentage of cases that take on a particular value of the IVAR and a particular value of the DVAR % Moderate AND Vote Rep = 160 / 1,264 = 12.7% % = (ƒ /n) X 100% House Vote (Y) Rep Ideology (X) Dem N= 1,264 247 70 232 160 195 360 317 392 555 674 590 53.3% Lib. Con. Mod. % % % 46.7% 25.1% 31.0% 43.9% 19.5% 18.4% 15.4% 5.5% 12.7%
Cross-tabs Joint relative frequencies – percentage of cases that take on a particular

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## This note was uploaded on 10/25/2010 for the course POLI 4150 taught by Professor Wilk during the Fall '10 term at University of Georgia Athens.

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stats10 - Monday, October 18 POLS4150 RESEARCH METHODS IN...

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