1 SPSS Textbook Examples Applied Regression Analysis by John Fox Chapter 15: Logit and probit models page 440 Figure 15.1 Scatterplot of voting intention (1 represents yes, 0 represents no) by a scale of support for the status quo, for a sample of Chilean voters surveyed prior to the 1988 plebiscite. The points are jittered vertically to minimize overlapping. The solid straight line shows the linear least-squares fit; the solid curved line shows the fit of the logistic regression model; the broken line represents a lowess nonparametric regression. NOTE: SPSS will not allow the multiple regression lines to be placed on a single graph. Also, we do not know how to do a lowess non-parametric regression in SPSS. GET FILE='D:\chile.sav'. if intvote = 1 voting = 1. if intvote = 2 voting = 0. IGRAPH /X1 = VAR(statquo) /Y = VAR (voting) /FITLINE METHOD = REGRESSION LINEAR LINE = TOTAL /SCATTER COINCIDENT = NONE. page 452 Table 15.1 Deviances (-2 log likelihood) for several models fit to the women's labor force participation data. The following code is used for terms in the models: C constant; I husband's income; K presence of children; R region. The 2 column labeled K + 1 gives the number of regressors in the model, including the constant. GET FILE='D:\womenlf.sav'. if workstat = 1 or workstat = 2 ws = 1. if workstat = 0 ws = 0. compute ik = husbinc*chilpres. compute cons = 1. compute rgn1 = 0. if region = "Atlantic" rgn1 = 1. compute rgn2 = 0. if region = "BC" rgn2 = 1. compute rgn3 = 0. if region = "Ontario" rgn3 = 1. compute rgn4 = 0. if region = "Prairie" rgn4 = 1. compute rgn5 = 0. if region = "Quebec" rgn5 = 1. execute. model 0 with C: NOTE: SPSS will not allow a regression without a predictor. (i.e., just the constant). Therefore, you need to create a variable - here we created const. Then we entered our constant with the /noconst subcommand, which, in effect, gives us a model with just a constant. LOGISTIC REGRESSION VAR=ws /METHOD=ENTER cons /noconst. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b,c) Predicted WS Observed .00 1.00 Percentage Correct .00 0 155 .0Step 0 WS 1.00 0 108 100.0 3 Overall Percentage 41.1 a No terms in the model. b Initial Log-likelihood Function: -2 Log Likelihood = 364.595 c The cut value is .500 Variables not in the Equation Score df Sig. Variables CONS 8.399 1 .004 Step 0 Overall Statistics 8.399 1 .004 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 8.445 1 .004 Block 8.445 1 .004Step 1 Model 8.445 1 .004 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 356.151 .032 .042 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 1 Overall Percentage 58.9 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 1(a) CONS -.361 .125 8.308 1 .004 .697 a Variable(s) entered on step 1: CONS. model 1 with C, I, K, R, I*K: LOGISTIC REGRESSION VAR=ws /METHOD=ENTER husbinc chilpres rgn2 rgn3 rgn4 rgn5 ik. Case Processing Summary 4 Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 CHILPRES 31.599 1 .000 RGN2 1.530 1 .216 RGN3 .008 1 .929 RGN4 .244 1 .622 RGN5 .242 1 .623 Variables IK 25.164 1 .000 Step 0 Overall Statistics 38.657 7 .000 Omnibus Tests of Model Coefficients 5 Chi-square df Sig. Step 39.609 7 .000 Block 39.609 7 .000Step 1 Model 39.609 7 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 316.542 .140 .188 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 135 20 87.1 WS 1.00 58 50 46.3Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.068 .034 4.094 1 .043 .934 CHILPRES -2.139 .692 9.567 1 .002 .118 RGN2 .331 .585 .320 1 .571 1.392 RGN3 .183 .466 .154 1 .694 1.201 RGN4 .469 .557 .709 1 .400 1.599 RGN5 -.203 .502 .163 1 .686 .816 IK .036 .041 .755 1 .385 1.037 Step 1(a) Constant 1.625 .698 5.414 1 .020 5.078 a Variable(s) entered on step 1: HUSBINC, CHILPRES, RGN2, RGN3, RGN4, RGN5, IK. model 2 with C, I, K, R: LOGISTIC REGRESSION VAR=ws /METHOD=ENTER husbinc chilpres rgn2 rgn3 rgn4 rgn5. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 6 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 CHILPRES 31.599 1 .000 RGN2 1.530 1 .216 RGN3 .008 1 .929 RGN4 .244 1 .622 Variables RGN5 .242 1 .623 Step 0 Overall Statistics 37.765 6 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 38.850 6 .000 Block 38.850 6 .000Step 1 Model 38.850 6 .000 Model Summary 7 Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 317.301 .137 .185 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 132 23 85.2 WS 1.00 55 53 49.1Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.045 .021 4.857 1 .028 .956 CHILPRES -1.604 .302 28.245 1 .000 .201 RGN2 .342 .585 .342 1 .559 1.408 RGN3 .188 .468 .161 1 .688 1.207 RGN4 .472 .557 .718 1 .397 1.603 RGN5 -.173 .500 .120 1 .729 .841 Step 1(a) Constant 1.268 .553 5.256 1 .022 3.553 a Variable(s) entered on step 1: HUSBINC, CHILPRES, RGN2, RGN3, RGN4, RGN5. model 3 with C, I, K, I*K: LOGISTIC REGRESSION VAR=ws /METHOD=ENTER husbinc chilpres ik. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 8 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 CHILPRES 31.599 1 .000Variables IK 25.164 1 .000 Step 0 Overall Statistics 36.471 3 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 37.027 3 .000 Block 37.027 3 .000Step 1 Model 37.027 3 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.124 .131 .177 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 133 22 85.8Step 1 WS 1.00 59 49 45.4 9 Overall Percentage 69.2 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.062 .033 3.604 1 .058 .940 CHILPRES -2.046 .677 9.134 1 .003 .129 IK .032 .041 .605 1 .437 1.032 Step 1(a) Constant 1.640 .558 8.646 1 .003 5.153 a Variable(s) entered on step 1: HUSBINC, CHILPRES, IK. model 4 with C, I, R: LOGISTIC REGRESSION VAR=ws /METHOD=ENTER husbinc rgn2 rgn3 rgn4 rgn5. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) 10 Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 RGN2 1.530 1 .216 RGN3 .008 1 .929 RGN4 .244 1 .622 Variables RGN5 .242 1 .623 Step 0 Overall Statistics 8.011 5 .156 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 8.302 5 .140 Block 8.302 5 .140Step 1 Model 8.302 5 .140 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 347.849 .031 .042 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 141 14 91.0 WS 1.00 87 21 19.4Step 1 Overall Percentage 61.6 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.045 .019 5.435 1 .020 .956 RGN2 .858 .545 2.476 1 .116 2.359 RGN3 .458 .444 1.060 1 .303 1.580 RGN4 .466 .535 .760 1 .383 1.594 RGN5 .204 .469 .190 1 .663 1.227 Step 1(a) Constant -.093 .463 .040 1 .841 .911 11 a Variable(s) entered on step 1: HUSBINC, RGN2, RGN3, RGN4, RGN5. model 5: with C, K, R: LOGISTIC REGRESSION VAR=ws /METHOD=ENTER chilpres rgn2 rgn3 rgn4 rgn5. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. CHILPRES 31.599 1 .000 RGN2 1.530 1 .216 RGN3 .008 1 .929 Step 0 Variables RGN4 .244 1 .622 12 RGN5 .242 1 .623 Overall Statistics 33.493 5 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 33.724 5 .000 Block 33.724 5 .000Step 1 Model 33.724 5 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 322.427 .120 .162 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 129 26 83.2 WS 1.00 55 53 49.1Step 1 Overall Percentage 69.2 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) CHILPRES -1.603 .298 28.905 1 .000 .201 RGN2 .241 .576 .174 1 .676 1.272 RGN3 .042 .457 .008 1 .927 1.043 RGN4 .492 .550 .798 1 .372 1.635 RGN5 -.156 .493 .100 1 .752 .856 Step 1(a) Constant .672 .476 1.988 1 .159 1.958 a Variable(s) entered on step 1: CHILPRES, RGN2, RGN3, RGN4, RGN5. page 452 Table 15.2 Analysis of deviance table for terms in the logit model fit to the women's labor force participation data. NOTE: To get the G**2 terms, subtract the deviances. Model 0 versus model 1: 356.16 - 316.54 = 39.62. Model 2 versus model 1: 317.30 - 316.54 = .76. Model 5 versus model 2: 322.44 - 317.30 = 5.14. Model 4 versus model 2: 347.86 - 317.30 = 30.56. Model 3 versus model 1: 319.12 - 316.54 = 2.58. page 453 Figure 15.4 Fitted probability of young married women working outside the home, as a function of husband's income and presence of children. The solid line 13 shows the logit model fit by maximum likelihood; the broken line shows the linear least-squares fit. NOTE: The four lines in Figure 15.4 have been done in separate graphs. logistic regression var = ws /method=enter chilpres husbinc /save pre. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. CHILPRES 31.599 1 .000 Variables HUSBINC 4.928 1 .026Step 0 Overall Statistics 35.714 2 .000 14 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 36.418 2 .000 Block 36.418 2 .000Step 1 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 132 23 85.2 WS 1.00 55 53 49.1Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) CHILPRES -1.576 .292 29.065 1 .000 .207 HUSBINC -.042 .020 4.575 1 .032 .959Step 1(a) Constant 1.336 .384 12.116 1 .000 3.803 a Variable(s) entered on step 1: CHILPRES, HUSBINC. regression /dep = ws /method=enter chilpres husbinc /save pre. Variables Entered/Removed(b) Model Variables Entered Variables Removed Method 1 Husband's income, $1000, Children present(a) . Enter a All requested variables entered. b Dependent Variable: WS Model Summary(b) Model R R Square Adjusted R Square Std. Error of the Estimate 1 .369(a) .136 .129 .45996 a Predictors: (Constant), Husband's income, $1000, Children present b Dependent Variable: WS 15 ANOVA(b) Model Sum of Squares df Mean Square F Sig. Regression 8.643 2 4.322 20.427 .000(a) Residual 55.007 260 .2121 Total 63.650 262 a Predictors: (Constant), Husband's income, $1000, Children present b Dependent Variable: WS Coefficients(a) Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta t Sig. (Constant) .794 .077 10.350 .000 Children present -.367 .062 -.342 -5.934 .0001 Husband's income, $1000 -8.538E-03 .004 -.125 -2.170 .031 a Dependent Variable: WS Residuals Statistics(a) Minimum Maximum Mean Std. Deviation N Predicted Value .0421 .7851 .4106 .18163 263 Residual -.7510 .8981 .0000 .45820 263 Std. Predicted Value -2.029 2.062 .000 1.000 263 Std. Residual -1.633 1.953 .000 .996 263 a Dependent Variable: WS if chilpres = 1 pw1 = pre_1. if chilpres = 0 pw2 = pre_1. if chilpres = 1 lw1 = pre_2. if chilpres = 0 lw2 = pre_2. execute. SORT CASES BY husbinc (A). IGRAPH /X1 = VAR(husbinc) /Y = VAR(pw1) /LINE(MEAN) STYLE = LINE INTERPOLATE = STRAIGHT. 16 IGRAPH /X1 = VAR(husbinc) /Y = VAR(pw2) /LINE(MEAN) STYLE = LINE INTERPOLATE = STRAIGHT. 17 IGRAPH /X1 = VAR(husbinc) /Y = VAR(lw1) /LINE(MEAN) STYLE = LINE INTERPOLATE = STRAIGHT. 18 IGRAPH /X1 = VAR(husbinc) /Y = VAR(lw2) /LINE(MEAN) STYLE = LINE INTERPOLATE = STRAIGHT. 19 page 459 Figure 15.5 Partial-residual plot for husband's income in the women's labor force participation data. The broken line gives the logit fit; the solid line shows a lowess smooth of the plot. Note the four bands due to the four combinations of values of the dichotomous dependent variable and the dichotomous independent variable presence of children. Because husband's income is also discrete, many points are overplotted. NOTE: SPSS does not do lowess smoothing in IGRAPH, so that line is not done. The other two are done on separate graphs. NOTE: Leverage, studentized residuals and dfbetas are being saved here so that this regression only has to be run once. logistic regression var=ws /method=enter chilpres husbinc /save pre lev sre dfbeta. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 20 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. CHILPRES 31.599 1 .000 Variables HUSBINC 4.928 1 .026Step 0 Overall Statistics 35.714 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 36.418 2 .000 Block 36.418 2 .000Step 1 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 21 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 132 23 85.2 WS 1.00 55 53 49.1Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) CHILPRES -1.576 .292 29.065 1 .000 .207 HUSBINC -.042 .020 4.575 1 .032 .959Step 1(a) Constant 1.336 .384 12.116 1 .000 3.803 a Variable(s) entered on step 1: CHILPRES, HUSBINC. NOTE: pre_3 is generated here. compute par = (ws-pre_3)/(pre_3*(1-pre_3)) - .0423*husbinc. regression /dep=par /method=enter husbinc /save pre. Variables Entered/Removed(b) Model Variables Entered Variables Removed Method 1 Husband's income, $1000(a) . Enter a All requested variables entered. b Dependent Variable: PAR Model Summary(b) Model R R Square Adjusted R Square Std. Error of the Estimate 1 .100(a) .010 .006 2.25325 a Predictors: (Constant), Husband's income, $1000 b Dependent Variable: PAR ANOVA(b) Model Sum of Squares df Mean Square F Sig. Regression 13.494 1 13.494 2.658 .104(a) Residual 1325.132 261 5.0771 Total 1338.626 262 a Predictors: (Constant), Husband's income, $1000 b Dependent Variable: PAR 22 Coefficients(a) Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta t Sig. (Constant) -.140 .316 -.443 .658 1 Husband's income, $1000 -3.141E-02 .019 -.100 - 1.630 .104 a Dependent Variable: PAR Casewise Diagnostics(a) Case Number Std. Residual PAR 260 3.138 5.74 261 3.138 5.74 a Dependent Variable: PAR Residuals Statistics(a) Minimum Maximum Mean Std. Deviation N Predicted Value -1.5536 -.1717 -.6037 .22694 263 Residual -3.9922 7.0705 .0000 2.24895 263 Std. Predicted Value -4.186 1.904 .000 1.000 263 Std. Residual -1.772 3.138 .000 .998 263 a Dependent Variable: PAR IGRAPH /X1 = VAR(husbinc) /Y = VAR(pre_4) /LINE(MEAN) STYLE = LINE INTERPOLATE = STRAIGHT. 23 GRAPH /SCATTERPLOT(BIVAR)=husbinc WITH par. 24 page 461 Figure 15.6 Plot of studentized residuals versus hat values for the logit model fit to the women's labor force participation data. Vertical lines are drawn at twice and three times the average hat value. Many points are overplotted. logistic regression var=ws /method=enter chilpres husbinc /save lev sre dfbeta. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 25 Classification Table(a,b) Predicted WS Observed .00 1.00 Percentage Correct .00 155 0 100.0 WS 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. CHILPRES 31.599 1 .000 Variables HUSBINC 4.928 1 .026Step 0 Overall Statistics 35.714 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 36.418 2 .000 Block 36.418 2 .000Step 1 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 Classification Table(a) Predicted WS Observed .00 1.00 Percentage Correct .00 132 23 85.2 WS 1.00 55 53 49.1Step 1 Overall Percentage 70.3 a The cut value is .500 26 Variables in the Equation B S.E. Wald df Sig. Exp(B) CHILPRES -1.576 .292 29.065 1 .000 .207 HUSBINC -.042 .020 4.575 1 .032 .959Step 1(a) Constant 1.336 .384 12.116 1 .000 3.803 a Variable(s) entered on step 1: CHILPRES, HUSBINC. compute pr = (ws - pre_3)/sqrt(pre_3*(1 - pre_3)). GRAPH /SCATTERPLOT(BIVAR)=lev_1 WITH sre_1. page 462 Figure 15.7 Index plots of approximate influence of each observation on the coefficients of husband's income and presence of children. Panel (a) GRAPH /SCATTERPLOT(BIVAR)=obs WITH dfb2_1. 27 Panel (b) GRAPH /SCATTERPLOT(BIVAR)=obs WITH dfb1_1. 28 page 469 Figure 15.8 Fitted probabilities for the polytomous logit model, showing women's labor force participation as a function of husband's income and presence of children. The upper panel is for children present, the lower panel for children absent. NOTE: The scaling of the x-axis is very different than in the text. Panel (a) GET FILE='D:\womenlf.sav'. compute w0 = 0. if workstat = 0 w0 = 1. compute w1 = 0. if workstat = 1 w1 = 1. compute w2 = 0. if workstat = 2 w2 = 1. execute. logistic regression var=w0 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 29 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted W0 Observed .00 1.00 Percentage Correct .00 0 108 .0 W0 1.00 0 155 100.0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant .361 .125 8.308 1 .004 1.435 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 Variables CHILPRES 31.599 1 .000Step 0 Overall Statistics 35.714 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 36.418 2 .000 Block 36.418 2 .000Step 1 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 30 Classification Table(a) Predicted W0 Observed .00 1.00 Percentage Correct .00 53 55 49.1 W0 1.00 23 132 85.2Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC .042 .020 4.575 1 .032 1.043 CHILPRES 1.576 .292 29.065 1 .000 4.834Step 1(a) Constant -1.336 .384 12.116 1 .000 .263 a Variable(s) entered on step 1: HUSBINC, CHILPRES. USE ALL. COMPUTE filter_$=(chilpres=1). VARIABLE LABEL filter_$ 'chilpres=1 (FILTER)'. VALUE LABELS filter_$ 0 'Not Selected' 1 'Selected'. FORMAT filter_$ (f1.0). FILTER BY filter_$. EXECUTE. Children present / not working. graph /scatterplot(bivar) = husbinc with pre_1. 31 Children present / part-time. logistic regression var=w1 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(b) N Percent Included in Analysis 184 100.0 Missing Cases 0 .0Selected Cases(a) Total 184 100.0 Unselected Cases 0 .0 Total 184 100.0 a The variable Children present is constant for all selected cases. Since a constant was requested in the model, it will be removed from the analysis. b If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 32 Classification Table(a,b) Predicted W1 Observed .00 1.00 Percentage Correct .00 149 0 100.0 W1 1.00 35 0 .0Step 0 Overall Percentage 81.0 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -1.449 .188 59.473 1 .000 .235 Variables not in the Equation Score df Sig. Variables HUSBINC .757 1 .384 Step 0 Overall Statistics .757 1 .384 Omnibus Tests of Model Coefficients Chi-square df Sig. Step .732 1 .392 Block .732 1 .392Step 1 Model .732 1 .392 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 178.314 .004 .006 Classification Table(a) Predicted W1 Observed .00 1.00 Percentage Correct .00 149 0 100.0 W1 1.00 35 0 .0Step 1 Overall Percentage 81.0 a The cut value is .500 33 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC .022 .025 .751 1 .386 1.022 Step 1(a) Constant -1.783 .437 16.626 1 .000 .168 a Variable(s) entered on step 1: HUSBINC. graph /scatterplot(bivar) = husbinc with pre_2. Children present / full-time. logistic regression var=w2 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(b) N Percent Included in Analysis 184 100.0 Missing Cases 0 .0Selected Cases(a) Total 184 100.0 Unselected Cases 0 .0 Total 184 100.0 a The variable Children present is constant for all selected cases. Since a constant was requested in the model, it will be removed from the analysis. 34 b If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted W2 Observed .00 1.00 Percentage Correct .00 164 0 100.0 W2 1.00 20 0 .0Step 0 Overall Percentage 89.1 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -2.104 .237 78.923 1 .000 .122 Variables not in the Equation Score df Sig. Variables HUSBINC 8.720 1 .003 Step 0 Overall Statistics 8.720 1 .003 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 11.063 1 .001 Block 11.063 1 .001Step 1 Model 11.063 1 .001 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 115.448 .058 .117 Classification Table(a) Predicted 35 W2 Observed .00 1.00 Percentage Correct .00 164 0 100.0 W2 1.00 20 0 .0Step 1 Overall Percentage 89.1 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.141 .047 9.019 1 .003 .869 Step 1(a) Constant -.309 .573 .290 1 .590 .734 a Variable(s) entered on step 1: HUSBINC. graph /scatterplot(bivar) = husbinc with pre_3. Panel (b) GET FILE='D:\womenlf.sav'. compute w0 = 0. if workstat = 0 w0 = 1. compute w1 = 0. if workstat = 1 w1 = 1. 36 compute w2 = 0. if workstat = 2 w2 = 1. execute. logistic regression var=w0 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted W0 Observed .00 1.00 Percentage Correct .00 0 108 .0 W0 1.00 0 155 100.0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant .361 .125 8.308 1 .004 1.435 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 Variables CHILPRES 31.599 1 .000Step 0 Overall Statistics 35.714 2 .000 Omnibus Tests of Model Coefficients 37 Chi-square df Sig. Step 36.418 2 .000 Block 36.418 2 .000Step 1 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 Classification Table(a) Predicted W0 Observed .00 1.00 Percentage Correct .00 53 55 49.1 W0 1.00 23 132 85.2Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC .042 .020 4.575 1 .032 1.043 CHILPRES 1.576 .292 29.065 1 .000 4.834Step 1(a) Constant -1.336 .384 12.116 1 .000 .263 a Variable(s) entered on step 1: HUSBINC, CHILPRES. USE ALL. COMPUTE filter_$=(chilpres=0). VARIABLE LABEL filter_$ 'chilpres=1 (FILTER)'. VALUE LABELS filter_$ 0 'Not Selected' 1 'Selected'. FORMAT filter_$ (f1.0). FILTER BY filter_$. EXECUTE. Children absent / not working. graph /scatterplot(bivar) = husbinc with pre_1. 38 Children absent / part-time. logistic regression var=w1 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(b) N Percent Included in Analysis 79 100.0 Missing Cases 0 .0Selected Cases(a) Total 79 100.0 Unselected Cases 0 .0 Total 79 100.0 a The variable Children present is constant for all selected cases. Since a constant was requested in the model, it will be removed from the analysis. b If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 39 Classification Table(a,b) Predicted W1 Observed .00 1.00 Percentage Correct .00 72 0 100.0 W1 1.00 7 0 .0Step 0 Overall Percentage 91.1 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -2.331 .396 34.657 1 .000 .097 Variables not in the Equation Score df Sig. Variables HUSBINC .576 1 .448 Step 0 Overall Statistics .576 1 .448 Omnibus Tests of Model Coefficients Chi-square df Sig. Step .543 1 .461 Block .543 1 .461Step 1 Model .543 1 .461 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 46.747 .007 .015 Classification Table(a) Predicted W1 Observed .00 1.00 Percentage Correct .00 72 0 100.0 W1 1.00 7 0 .0Step 1 Overall Percentage 91.1 a The cut value is .500 40 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC .037 .049 .568 1 .451 1.038 Step 1(a) Constant -2.894 .886 10.661 1 .001 .055 a Variable(s) entered on step 1: HUSBINC. graph /scatterplot(bivar) = husbinc with pre_2. Children absent / full-time. logistic regression var=w2 /method=enter husbinc chilpres /save pre. Case Processing Summary Unweighted Cases(b) N Percent Included in Analysis 79 100.0 Missing Cases 0 .0Selected Cases(a) Total 79 100.0 Unselected Cases 0 .0 Total 79 100.0 a The variable Children present is constant for all selected cases. Since a constant was requested in the model, it will be removed from the analysis. b If weight is in effect, see classification table for the total number of cases. 41 Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted W2 Observed .00 1.00 Percentage Correct .00 0 33 .0 W2 1.00 0 46 100.0Step 0 Overall Percentage 58.2 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant .332 .228 2.120 1 .145 1.394 Variables not in the Equation Score df Sig. Variables HUSBINC 5.299 1 .021 Step 0 Overall Statistics 5.299 1 .021 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 5.396 1 .020 Block 5.396 1 .020Step 1 Model 5.396 1 .020 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 101.973 .066 .089 Classification Table(a) Predicted W2 Percentage Correct 42 Observed .00 1.00 .00 9 24 27.3 W2 1.00 6 40 87.0Step 1 Overall Percentage 62.0 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.074 .033 4.877 1 .027 .929 Step 1(a) Constant 1.406 .542 6.734 1 .009 4.079 a Variable(s) entered on step 1: HUSBINC. graph /scatterplot(bivar) = husbinc with pre_3. page 473 calculations in the middle of page 473 and the top of 474. NOTE: The R-squared values given by SPSS are different from those in the text. GET FILE='D:\womenlf.sav'. compute nwk = 1. if workstat = 0 nwk = 0. execute. 43 logistic regression var=nwk /method=enter husbinc chilpres. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 263 100.0 Missing Cases 0 .0Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted NWK Observed .00 1.00 Percentage Correct .00 155 0 100.0 NWK 1.00 108 0 .0Step 0 Overall Percentage 58.9 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant -.361 .125 8.308 1 .004 .697 Variables not in the Equation Score df Sig. HUSBINC 4.928 1 .026 Variables CHILPRES 31.599 1 .000Step 0 Overall Statistics 35.714 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 1 Step 36.418 2 .000 44 Block 36.418 2 .000 Model 36.418 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 319.733 .129 .174 Classification Table(a) Predicted NWK Observed .00 1.00 Percentage Correct .00 132 23 85.2 NWK 1.00 55 53 49.1Step 1 Overall Percentage 70.3 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.042 .020 4.575 1 .032 .959 CHILPRES -1.576 .292 29.065 1 .000 .207Step 1(a) Constant 1.336 .384 12.116 1 .000 3.803 a Variable(s) entered on step 1: HUSBINC, CHILPRES. if workstat = 1 ptime = 0. if workstat = 2 ptime = 1. execute. logistic regression var=ptime /method=enter husbinc chilpres. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 108 41.1 Missing Cases 155 58.9Selected Cases Total 263 100.0 Unselected Cases 0 .0 Total 263 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 45 Classification Table(a,b) Predicted PTIME Observed .00 1.00 Percentage Correct .00 0 42 .0 PTIME 1.00 0 66 100.0Step 0 Overall Percentage 61.1 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant .452 .197 5.243 1 .022 1.571 Variables not in the Equation Score df Sig. HUSBINC 7.602 1 .006 Variables CHILPRES 28.882 1 .000Step 0 Overall Statistics 35.149 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 39.847 2 .000 Block 39.847 2 .000Step 1 Model 39.847 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 104.495 .309 .419 Classification Table(a) Predicted PTIME Observed .00 1.00 Percentage Correct .00 33 9 78.6 PTIME 1.00 11 55 83.3Step 1 Overall Percentage 81.5 a The cut value is .500 46 Variables in the Equation B S.E. Wald df Sig. Exp(B) HUSBINC -.107 .039 7.506 1 .006 .898 CHILPRES -2.651 .541 24.013 1 .000 .071Step 1(a) Constant 3.478 .767 20.554 1 .000 32.387 a Variable(s) entered on step 1: HUSBINC, CHILPRES. page 480 Figure 15.13 Empirical logits for voter turnout by intensity of partisan preference and perceived closeness of the election, for the . 1956 U.S. presidential election. data list list / logv1 logvc inten. begin data. .847 .9 0 .904 1.318 1 .981 2.084 2 end data. execute. One-sided IGRAPH /X1 = VAR(inten) /Y = VAR(logv1) /LINE(MEAN) STYLE = DOTLINE INTERPOLATE = STRAIGHT. 47 Close. IGRAPH /X1 = VAR(inten) /Y = VAR(logvc) /LINE(MEAN) STYLE = DOTLINE INTERPOLATE = STRAIGHT. 48 page 482 Table 15.4 Deviances for models fit to the American voter data. Terms: alpha - perceived closeness; beta - intensity of preference; gamma - closeness by preference interaction. The column labeled k + 1 gives the number of parameters in the model, including the constant mu. data list list / perclose inten1 inten2 voted wv. begin data. 0 0 0 1 91 0 0 0 0 39 0 1 0 1 121 0 1 0 0 49 0 0 1 1 64 0 0 1 0 24 1 0 0 1 214 1 0 0 0 87 1 1 0 1 284 1 1 0 0 76 1 0 1 1 201 1 0 1 0 25 end data. execute. weight by wv. compute clspref1 = perclose*inten1. compute clspref2 = perclose*inten2. execute. 49 Model 1: logistic regression var=voted /method=enter perclose inten1 inten2 clspref1 clsp ref2. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. PERCLOSE 8.828 1 .003 INTEN1 .002 1 .969 INTEN2 14.539 1 .000 CLSPREF1 1.631 1 .202 Variables CLSPREF2 23.730 1 .000 Step 0 Overall Statistics 31.884 5 .000 50 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 34.832 5 .000 Block 34.832 5 .000Step 1 Model 34.832 5 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1356.434 .027 .041 Classification Table(a) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) PERCLOSE .053 .230 .053 1 .818 1.054 INTEN1 .057 .256 .049 1 .824 1.058 INTEN2 .134 .306 .190 1 .663 1.143 CLSPREF1 .362 .313 1.331 1 .249 1.435 CLSPREF2 1.051 .394 7.121 1 .008 2.860 Step 1(a) Constant .847 .191 19.599 1 .000 2.333 a Variable(s) entered on step 1: PERCLOSE, INTEN1, INTEN2, CLSPREF1, CLSPREF2. Model 2: logistic regression var=voted /method=enter perclose inten1 inten2. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 a If weight is in effect, see classification table for the total number of cases. 51 Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. PERCLOSE 8.828 1 .003 INTEN1 .002 1 .969Variables INTEN2 14.539 1 .000 Step 0 Overall Statistics 27.142 3 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 27.713 3 .000 Block 27.713 3 .000Step 1 Model 27.713 3 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1363.553 .022 .032 Classification Table(a) 52 Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) PERCLOSE .407 .140 8.427 1 .004 1.502 INTEN1 .302 .148 4.165 1 .041 1.352 INTEN2 .800 .189 17.958 1 .000 2.224 Step 1(a) Constant .607 .141 18.457 1 .000 1.835 a Variable(s) entered on step 1: PERCLOSE, INTEN1, INTEN2. Model 3: logistic regression var=voted /method=enter perclose clspref1 clspref2. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 53 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. PERCLOSE 8.828 1 .003 CLSPREF1 1.631 1 .202Variables CLSPREF2 23.730 1 .000 Step 0 Overall Statistics 31.667 3 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 34.641 3 .000 Block 34.641 3 .000Step 1 Model 34.641 3 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1356.625 .027 .040 Classification Table(a) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) PERCLOSE -.002 .169 .000 1 .991 .998 CLSPREF1 .418 .181 5.324 1 .021 1.519 Step 1(a) CLSPREF2 1.184 .247 22.942 1 .000 3.269 54 Constant .902 .112 64.806 1 .000 2.464 a Variable(s) entered on step 1: PERCLOSE, CLSPREF1, CLSPREF2. Model 4: logistic regression var=voted /method=enter inten1 inten2 clspref1 clspref2. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. INTEN1 .002 1 .969 INTEN2 14.539 1 .000 CLSPREF1 1.631 1 .202 Step 0 Variables CLSPREF2 23.730 1 .000 55 Overall Statistics 31.823 4 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 34.779 4 .000 Block 34.779 4 .000Step 1 Model 34.779 4 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1356.487 .027 .041 Classification Table(a) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) INTEN1 .020 .200 .010 1 .920 1.020 INTEN2 .097 .262 .137 1 .712 1.102 CLSPREF1 .414 .213 3.784 1 .052 1.513 CLSPREF2 1.104 .320 11.909 1 .001 3.015 Step 1(a) Constant .884 .106 69.683 1 .000 2.421 a Variable(s) entered on step 1: INTEN1, INTEN2, CLSPREF1, CLSPREF2. Model 5: logistic regression var=voted /method=enter perclose. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 56 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 a Constant is included in the model. b The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. Variables PERCLOSE 8.828 1 .003 Step 0 Overall Statistics 8.828 1 .003 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 8.608 1 .003 Block 8.608 1 .003Step 1 Model 8.608 1 .003 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1382.658 .007 .010 Classification Table(a) Predicted 57 VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) PERCLOSE .411 .139 8.764 1 .003 1.509 Step 1(a) Constant .902 .112 64.806 1 .000 2.464 a Variable(s) entered on step 1: PERCLOSE. Model 6: logistic regression var=voted /method=enter inten1 inten2. Case Processing Summary Unweighted Cases(a) N Percent Included in Analysis 12 100.0 Missing Cases 0 .0Selected Cases Total 12 100.0 Unselected Cases 0 .0 Total 12 100.0 a If weight is in effect, see classification table for the total number of cases. Dependent Variable Encoding Original Value Internal Value .00 0 1.00 1 Classification Table(a,b) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 0 Overall Percentage 76.5 a Constant is included in the model. b The cut value is .500 58 Variables in the Equation B S.E. Wald df Sig. Exp(B) Step 0 Constant 1.179 .066 318.704 1 .000 3.250 Variables not in the Equation Score df Sig. INTEN1 .002 1 .969 Variables INTEN2 14.539 1 .000Step 0 Overall Statistics 18.756 2 .000 Omnibus Tests of Model Coefficients Chi-square df Sig. Step 19.428 2 .000 Block 19.428 2 .000Step 1 Model 19.428 2 .000 Model Summary Step -2 Log likelihood Cox & Snell R Square Nagelkerke R Square 1 1371.838 .015 .023 Classification Table(a) Predicted VOTED Observed .00 1.00 Percentage Correct .00 0 300 .0 VOTED 1.00 0 975 100.0Step 1 Overall Percentage 76.5 a The cut value is .500 Variables in the Equation B S.E. Wald df Sig. Exp(B) INTEN1 .292 .147 3.920 1 .048 1.338 INTEN2 .804 .188 18.246 1 .000 2.234Step 1(a) Constant .884 .106 69.683 1 .000 2.421 a Variable(s) entered on step 1: INTEN1, INTEN2. page 482 Table 15.5 Analysis of deviance table for the American voter data, showing alternative likelihood ratio tests for the main effects of perceived closeness of the election and intensity of partisan preference. 59 NOTE: To get the G**2 terms, subtract the deviances. Model 6 versus model 2: 1371.838 - 1363.552 = 8.286. Model 4 versus model 1: 1368.554 - 1356.434 = 12.120. Model 5 versus model 2: 1382.658 - 1363.552 = 19.106. Model 3 versus model 1: 1368.042 - 1356.434 = 11.608. Model 2 versus model 1: 1363.552 - 1356.434 = 7.118.