Political Science 552. Qualitative Variables. Dichotomous Predictor. Dummy Variables-Gender. Qualitative Variables March 3, 2004

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1 Qualtatve Varables Marh, Poltal See 55 Qualtatve Varables Dhotomous Predtor Y PID Geder ( male, female) Y ( ) Y Y Y Y Dummy Varables-Geder. FT-BUSH PID GENDER. ge geder(v9). regress v6 v5 geder v6 Coef. Std. Err. t P> t [95% Cof. Iterval] v geder _os redt yhatg (oto xb assumed; ftted values). twoway (satter v6 v5, jtter()) (le yhatg v5 f geder >, sort) (le yhatg v5 f geder!, sort)

2 Qualtatve Varables Marh, Kx. Party ID summary C/C.T. Thermometer George W Bush t-test equvaley. ttest v6, by(v9) Two-samle t test wth equal varaes Grou Obs Mea Std. Err. Std. Dev.. MALE FEMAL ombed dff Degrees of freedom: 57 Ha: dff < Ha: dff! Ha: dff > t.95 t.95 t.95 P < t.897 P > t.6 P > t.7. ge geder(v9). regress v6 geder v6 Coef. Std. Err. t P> t geder _os Three or More Categores Y 5 5 Y 5 5 5

3 Qualtatve Varables Marh, Mult-Category Examle. x: regress v6 v5.rego v6 Coef. Std. Err. t P>t v _Irego_ _Irego_ _Irego_ _os redt yhat (oto xb assumed; ftted values) ( mssg values geerated). twoway (lft yhat v5 f rego) (lft yhat v5 f rego) > (lft yhat v5 f rego) (lft yhat v5 f rego) Plot of Mult-Category Kx. Party ID summary ANOVA o Rego. reode v79 (/9 "East")(/9 "Mdwest")(/59 "South/Border > ")(6/79 "West")(96.),ge(rego) oeway v6 rego, tabulate Summary of C/C.T. Thermometer George W Bush rego Mea Std. Dev. Freq East Mdwest South/Bor West Total Aalyss of Varae Soure SS df MS F Prob > F Betwee grous Wth grous Total

4 Qualtatve Varables Marh, Rego as Dummy Varable. x: regress v6.rego.rego _Irego_- (aturally oded; _Irego_ omtted) Soure SS df MS Number of obs F(, 5).5 Model Prob > F. Resdual R-squared Adj R-squared.85 Total Root MSE.75 v6 Coef. Std. Err. t P> t _Irego_ _Irego_ _Irego_ _os Modfyg Omtted Category. har rego[omt]. x: regress v6.rego.rego _Irego_- (aturally oded; _Irego_ omtted) Soure SS df MS Number of obs F(, 5).5 Model Prob > F. Resdual R-squared Adj R-squared.85 Total Root MSE.75 v6 Coef. Std. Err. t P> t _Irego_ _Irego_ _Irego_ _os Effet Codg. reode _Irego ( -) f (rego). regress v6 _Irego Soure SS df MS Number of obs 57 F(, 5).5 Model Prob > F. Resdual R-squared. Adj R-squared.85 Total Root MSE.75 v6 Coef. Std. Err. t P>t _Irego_ _Irego_ _Irego_ _os

5 Qualtatve Varables Marh, Effet Codg: Dhotomy. ge geder(v9). regress v6 geder v6 Coef. Std. Err. t P> t geder _os hage geder to effet odg. reode geder (-) (geder: 67 hages made). regress v6 geder,oheader v6 Coef. Std. Err. t P>t geder _os Two Nomal Varables. format v6 %6.f. table rego geder, >otets( mea v6 ) geder rego East Mdwest South/Border West x: regress v6.geder.rego,oheader v6 Coef. Std. Err. t _Igeder_ _Irego_ _Irego_ _Irego_ _os FT F E FT F S Wth Iterato Terms. format v6 %6.f. table rego geder, >otets( mea v6 ) geder rego East Mdwest South/Border West x: regress v6.geder.rego v6 Coef. Std. Err. t _Igeder_ _Irego_ _Irego_ _Irego_ _Igereg_~ _Igereg_~ _Igereg_~ _os FT F E b bgeder beast b5geder East FT F E

6 Qualtatve Varables Marh, Sloe Dummes Y Y Y ( ) ( ) Sloe Dummy Examle. ge blak( v) f v!.. ge dv5. x: regress v.blakd,oheader.blak _Iblak_- (aturally oded; _Iblak_ omtted).blakd _Iblad_# (oded as above) v Coef. Std. Err. t P>t _Iblak_ d _Iblad_ _os test d _Iblad_ ( ) d _Iblad_ [d _Iblad_ -.58] F(, 7).6 Prob > F.7 Sloe Dummy Grah twoway (lft v d f blak, rage( 6.)) (lft v d f blak) d 6

7 Qualtatve Varables Marh, Multle Classfato Aalyss ad Automat Iterato Detetor m j Y j Y m j b j k b j j j Lear Probablty Model P. ge vote(v9) f v9<5 (5 mssg values geerated). regress vote d geder,oheader vote Coef. Std. Err. t P>t d geder _os σ Heterosedastty { P} P ( P) σ σ P σ P{ } ( E{ }) P{ } P P{ } P E{ } P ( P) ( P)( P) ( P P P ) ( P P ) σ ( P P ) σ P ( P) P P P(-P)

8 Qualtatve Varables Marh, 8 Dsrmat Futo D... ( ) s D D D ( ) ( ) Dsrmat Futo, D D ( ) D R D ( ) ( ), R R F Dsrmat Futo ad Lear Regresso b j j x x

9 Qualtatve Varables Marh, Dsrmat Futo Examle. dsrm vote d geder,redt Dhotomous Dsrmat Aalyss Observatos Obs Grou 57 Ide varables Obs Grou 587 Cetrod -.88 R-square.5988 Cetrod.566 Mahalaobs Grad Ctd -.7 Egevalue.98 Wlk's Lambda. Cao. Corr..779 Ch-square.e Eta Squared.5988 Sg Ch. Dsrmat Futo Examle, otued Dsrm Futo Ustadardzed Varable Coeffets Coeffets LearProb d geder ostat Predted Atual Grou Grou Total Grou Grou Total Corretly redted 87.7 % Model sestvty % Model sefty 86. % False ostve.8 % False egatve 9.8 % 9

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