Appendix 3 _______________________________________
Statistical Results
TO EVALUATE THE INFLUENCE of the presidential campaign on voter decision making, we compare the effect of cross-pressures across levels of campaign exposure or in different campaign contexts. Because the dependent variable is a binary outcome (1 = voted for opposing party candidate, 0 = voted for own party candidate), we have estimated the effects in separate models. We do not estimate an interaction between cross-pressures and campaign exposure because it is not possible in nonlinear models (e.g., logit model) to evaluate an interaction effect simply by looking at the sign, magnitude, or statistical significance of the coefficient on the interaction term. For instance, see discussion in Ai and Norton, “Interaction Terms in Logit and Probit Models.” For easier interpretation of the results, we have estimated the substantive effects across all relevant models for the same respondent type (based on global means and modes) using Clarify software to calculate the 90 percent confidence bounds around those estimates. We also calculate the Wald chi-squared statistic to determine if the difference in estimated coefficients across the low-exposure and high-exposure groups is statistically significant (assuming residual variation is the same across groups).
Model Results Used to Calculate Substantive Effects Reported in Figure 4.2 | ||||||||||
Non-battle |
Battle |
No Visits |
Many Visits |
Less Attentive |
Most Attentive |
Less Aware |
Most Aware |
Non-battle (Most Attentive) |
(Most Battle Attentive) | |
Constant |
−2.64 |
−4.57 |
−3.52 |
−4.06 |
−2.24 |
−3.27 |
−2.13 |
−4.32 |
−3.5 |
−1.1 |
(.58) |
(1.08) |
(1.13) |
(.91) |
(.91) |
(.97) |
(.84) |
(.88) |
(1.16) |
(.1.73) | |
Strength of Partisanship |
−1.78 |
−2.15 |
−1.85 |
−2.40 |
−1.61 |
−2.03 |
−1.25 |
−2.27 |
−2.3 |
−3.5 |
(−.29) |
(.52) |
(0.52) |
(0.57) |
(0.54) |
(0.48) |
(0.45) |
(0.40) |
(.498) |
(1.06) | |
Age |
0.09 |
0.05 |
0.18 |
0.06 |
−0.08 |
0.03 |
−0.11 |
0.21 |
0.3 |
−0.5 |
(0.08) |
(0.11) |
(.14) |
(.10) |
(.14) |
(.12) |
(.12) |
(.09) |
(.154) |
(0.272) | |
Minority |
0.09 |
−0.86 |
0.09 |
0.02 |
−0.30 |
−0.29 |
−0.30 |
0.42 |
0.2 |
−0.9 |
(.29) |
(.69) |
(.67) |
(.59) |
(.51) |
(.61) |
(.44) |
(.44) |
(.539) |
(0.961) | |
Female |
0.12 |
−0.80 |
0.36 |
−1.08 |
0.20 |
−0.50 |
−0.10 |
0.14 |
−0.3 |
−2.2 |
(.26) |
(.42) |
(.44) |
(.39) |
(.42) |
(.48) |
(.38) |
(.33) |
(.475) |
(0.996) | |
Education |
0.03 |
0.66 |
0.20 |
0.49 |
−0.08 |
0.30 |
0.19 |
0.22 |
0.1 |
0.6 |
(.13) |
(.20) |
(.21) |
(.18) |
(.24) |
(.20) |
(.18) |
(.18) |
(.246) |
(0.417) | |
Political Knowledge |
−0.09 |
−0.07 |
−0.20 |
0.06 |
0.26 |
−0.35 |
0.06 |
−0.06 |
−0.4 |
−0.7 |
(.12) |
(.23) |
(.18) |
(.21) |
(.22) |
(.23) |
(.19) |
(.20) |
(.246) |
(0.423) | |
Cross-pressures Scale |
3.44 |
5.49 |
3.68 |
4.96 |
2.19 |
7.21 |
1.56 |
5.61 |
6.4 |
12.3 |
(.72) |
(1.09) |
(1.32) |
(.98) |
(1.32) |
(1.29) |
(1.20) |
(.86) |
(1.29) |
(3.19) | |
Wald Chi-square Statistic |
2.45 |
0.61 |
7.38 |
7.53 |
2.95 | |||||
Cross-pressured Dummy |
0.83 |
2.31 |
0.82 |
2.00 |
0.30 |
2.77 |
0.21 |
1.78 |
||
(.25) |
(.57) |
(.44) |
(.49) |
(.44) |
(.56) |
(.36) |
(.35) |
|||
Wald Chi-square Statistic |
5.75 |
3.26 |
11.98 |
9.88 |
||||||
N |
1325 |
570 |
516 |
600 |
381 |
758 |
444 |
1108 |
545 |
213 |
LR Chi-square |
74.22 |
81.82 |
31.90 |
57.89 |
15.09 |
39.09 |
15.60 |
93.30 |
65.92 |
51.10 |
Pseudo R-square |
0.14 |
0.29 |
0.16 |
0.28 |
0.08 |
0.31 |
0.03 |
0.28 |
0.31 |
0.50 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting a vote for the opposing party candidate. Sample limited to self-identified partisans only (leaners not included). Included in the table are the coefficients, standard errors, and Wald chi-square statistic for both the cross-pressures scale measure (percent of important cross-pressured issues) and the cross-pressured dummy variable (1 = greater than mean, the estimate used to calculate total effects on 2004 election outcome). Control variables and model fit statistics are reported for model with cross-pressures scale. Data source is the 2004 Blair Center Election Survey.
Model Results Used to Calculate Substantive Effects Reported in Figure 4.3 | ||||||||||
Non-battle |
Battle |
No Visits |
Many Visits |
Less Aware |
Most Aware |
Less Attentive |
Most Attentive |
Non-battle (Undecided) |
Battle (Undecided) | |
Constant |
−1.22 |
−2.45 |
−1.09 |
−1.88 |
−2.05 |
−2.90 |
−1.08 |
−2.46 |
−1.59 |
−0.28 |
(.35) |
(.55) |
(.46) |
(.40) |
(.22) |
(.50) |
(.53) |
(.67) |
(.69) |
(1.25) | |
Strength of Partisanship |
−1.79 |
−1.74 |
−1.57 |
−1.80 |
−1.86 |
−1.08 |
−1.51 |
0.05 |
−1.22 |
−2.37 |
(.17) |
(.27) |
(.21) |
(.20) |
(.17) |
(.32) |
(.32) |
(.15) |
(.41) |
(.81) | |
Age |
−0.02 |
0.05 |
0.02 |
0.00 |
0.04 |
−0.04 |
0.05 |
−0.10 |
0.05 |
−0.15 |
(.04) |
(.06) |
(.06) |
(.05) |
(.04) |
(.09) |
(.07) |
(.08) |
(.08) |
(.16) | |
Minority |
−0.34 |
−0.57 |
−0.26 |
−0.34 |
−0.64 |
0.41 |
−0.54 |
0.09 |
||
(.18) |
(.45) |
(.24) |
(.23) |
(.21) |
(.37) |
(.31) |
(.32) |
|||
Female |
0.05 |
−0.17 |
−0.04 |
−0.04 |
0.05 |
−0.15 |
0.01 |
0.33 |
0.23 |
−1.37 |
(.14) |
(.21) |
(.18) |
(.16) |
(.14) |
(.29) |
(.22) |
(.24) |
(.27) |
(.52) | |
Education |
−0.30 |
−0.11 |
−0.32 |
−0.19 |
−0.37 |
−1.75 |
−0.11 |
−0.28 | ||
(.08) |
(.13) |
(.11) |
(.09) |
(.13) |
(.25) |
(.16) |
(.31) | |||
Cross-pressures Scale |
2.51 |
3.28 |
1.37 |
3.02 |
1.74 |
3.62 |
1.75 |
3.26 |
1.95 |
4.14 |
(.28) |
(.43) |
(.28) |
(.31) |
(.23) |
(.56) |
(.40) |
(.47) |
(.55) |
(1.06) | |
Wald Chi-square Statistic |
2.27 |
15.77 |
9.73 |
6.02 |
3.35 | |||||
N |
2553 |
1176 |
1520 |
2016 |
2444 |
746 |
791 |
1280 |
344 |
145 |
LR Chi-square |
292.6 |
137.19 |
116 |
246.78 |
244.56 |
76.72 |
66.38 |
127.44 |
27.22 |
39.19 |
Pseudo R-square |
0.17 |
0.18 |
0.12 |
0.18 |
0.14 |
0.18 |
0.10 |
0.19 |
0.07 |
0.27 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting a vote for the opposing party candidates. Sample limited to self-identified partisans only (Independent leaners not included). Data source is the 2000 Knowledge Networks Election Study.
Model Results Used to Calculate Substantive Effects Reported in Figures 4.5 and 4.6. | ||||
Conventions |
Debates | |||
Transition |
Defection |
Transition |
Defection | |
Constant |
0.21 |
−1.18 |
−0.69 |
−2.09 |
(.27) |
(.67) |
(.35) |
(.93) | |
Strength of Partisanship |
−0.68 |
−1.03 |
−0.64 |
−0.85 |
(.06) |
(.31) |
(.09) |
(.42) | |
Age |
−0.02 |
−0.19 |
−0.16 |
−0.19 |
(.04) |
(.09) |
(.05) |
(.12) | |
Minority |
−0.12 |
−0.79 |
0.08 |
−0.05 |
(.17) |
(.45) |
(.26) |
(.65) | |
Female |
0.20 |
0.07 |
0.12 |
0.40 |
(.11) |
(.27) |
(.16) |
(.42) | |
Education |
−0.16 |
−0.40 |
−0.05 |
−0.28 |
0.07 |
0.16 |
0.09 |
0.22 | |
Previous Volatility |
1.40 |
2.89 | ||
(.27) |
(.67) | |||
Cross-pressured Dummy |
0.83 |
1.16 |
0.99 |
0.87 |
(.16) |
(.27) |
(.24) |
(.41) | |
N |
1918 |
1313 |
1663 |
777 |
LR Chi-square |
172.36 |
55.07 |
104.80 |
32.37 |
Pseudo R-square |
0.08 |
0.11 |
0.09 |
0.13 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting any change in vote choice (transition) or a change to support the opposing party candidate (defection) from before to after the event. Sample restricted to respondents interviewed before the event and with 10 days after the event; transition model includes partisans and Independents and defection model limited to partisans who did not already support the opposing party candidate. Previous volatility is an indicator if the individual had previously changed vote choice prior to pre-event interview. Data source is the 2000 Knowledge Networks Election Study.
Model Results Used to Calculate Substantive Effects Reported in Figure 5.1 | ||||
All White Democrats |
Southern White Democrats | |||
1960 |
1968 |
1960 |
1968 | |
Constant |
−2.13 |
−1.38 |
−0.99 |
−1.27 |
(.64) |
(.78) |
(.86) |
(.159) | |
Strength of Partisanship |
−1.33 |
−1.40 |
||
(.28) |
(.32) |
|||
Age |
0.02 |
0.01 |
0.00 |
−0.02 |
(−.01) |
(.01) |
(.01) |
(.02) | |
Female |
0.33 |
0.04 |
0.23 |
0.70 |
(.27) |
(.30) |
(.42) |
(.69) | |
Education |
0.08 |
0.13 |
0.05 |
0.24 |
(.16) |
(.18) |
(.21) |
(.33) | |
Cross-pressured, Racial Issue |
0.66 |
2.70 |
0.42 |
2.27 |
(.52) |
(.83) |
(.57) |
(1.27) | |
N |
390 |
321 |
117 |
58 |
LR Chi-square |
31.20 |
39.90 |
1.3 |
7.3 |
Pseudo R-square |
0.08 |
0.11 |
0.01 |
0.11 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting defection. Sample restricted to white Democrats (including Independent leaners). Cross-pressures measure is an indicator if the individual volunteered a racial policy dislike about the Democratic candidate or party or a racial policy like about the Republican candidate or party. Data source is the American National Election Study cumulative file.
Model Results Used to Calculate Substantive Effects Reported in Figure 5.3 | ||
1972 |
1976 | |
Constant |
−2.67 |
−3.24 |
(1.01) |
(1.15) | |
Strength of Partisanship |
−0.84 |
−0.85 |
(.31) |
(.36) | |
Age |
0.03 |
0.01 |
(.01) |
(.01) | |
Female |
−0.24 |
0.63 |
(.26) |
(.32) | |
Education |
0.00 |
0.11 |
(.01) |
(.08) | |
Political Knowledge |
0.05 |
0.14 |
(.16) |
(.18) | |
Cross-pressured, Busing |
1.80 |
0.32 |
(.57) |
(.55) | |
N |
280 |
269 |
LR Chi-square |
42.89 |
15.33 |
Pseudo R-square |
0.11 |
0.05 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting defection. Sample restricted to white Democrats (including leaners) who had the same opinion on busing in both 1972 and 1976. Cross-pressures measure is an indicator of whether the individual was opposed to busing to achieve integration. Data source is the American National Election 1972–1976 panel.
Model Results Used to Calculate Substantive Effects Reported in Figure 5.5 | |||||||||||
1964 |
1968 |
1972 |
1976 |
1980 |
1984 |
1988 |
1992 |
1996 |
2000 |
2004 | |
Constant |
−4.74 |
−0.48 |
−0.99 |
−2.62 |
−1.97 |
−3.31 |
−2.38 |
−8.07 |
−6.68 |
0.54 |
−5.42 |
(.771) |
(.705) |
(.623) |
(.843) |
(1.08) |
(1.43) |
(1.17) |
(1.62) |
(1.72) |
(1.9) |
(1.91) | |
Strength of Partisanship |
−1.39 |
−1.35 |
−1.09 |
−0.75 |
−1.86 |
−1.08 |
−2.22 |
−2.08 |
−1.42 |
−1.33 |
−1.34 |
(.319) |
(.248) |
(.236) |
(.317) |
(.408) |
(.484) |
(.584) |
(.634) |
(.659) |
(.601) |
(.635) | |
Age |
0.01 |
0.00 |
0.02 |
−0.01 |
0.00 |
0.01 |
−0.02 |
0.00 |
0.01 |
−0.03 |
−0.01 |
(.009) |
(.007) |
(.007) |
(.008) |
(.009) |
(.013) |
(.011) |
(.013) |
(.013) |
(.016) |
(.013) | |
Female |
0.11 |
−0.21 |
−0.04 |
0.38 |
0.24 |
0.37 |
0.41 |
0.84 |
−0.22 |
0.20 |
0.99 |
(.278) |
(.22) |
(.197) |
(.258) |
(.311) |
(.402) |
(.401) |
(.484) |
(.451) |
(.495) |
(.569) | |
Education |
0.53 |
−0.09 |
−0.18 |
0.26 |
0.04 |
−0.11 |
−0.13 |
0.60 |
0.49 |
−0.50 |
0.08 |
(.164) |
(.14) |
(.123) |
(.163) |
(.197) |
(.269) |
(.235) |
(.284) |
(.288) |
(.344) |
(.347) | |
Political Knowledge |
−0.02 |
−0.15 |
0.09 |
−0.15 |
0.38 |
0.19 |
0.34 |
0.22 |
−0.22 |
0.82 | |
(.11) |
(.11) |
(.144) |
(.19) |
(.266) |
(.211) |
(.262) |
(.252) |
(.232) |
(.259) | ||
Cross-pressures Scale, Racial |
0.03 |
0.02 |
0.03 |
0.02 |
0.02 |
0.02 |
0.02 |
0.02 |
0.02 |
0.01 |
0.00 |
(.004) |
(.003) |
(.004) |
(.005) |
(.005) |
(.008) |
(.006) |
(.008) |
(.008) |
(.008) |
(.009) | |
Cross-pressures Scale, Moral |
0.11 |
−0.23 |
0.02 |
0.05 |
0.02 |
0.02 |
0.03 | ||||
(.321) |
(.474) |
(.008) |
(.011) |
(.009) |
(.01) |
(.011) | |||||
N |
541 |
433 |
515 |
394 |
262 |
184 |
256 |
374 |
323 |
172 |
199 |
LR Chi-square |
49.17 |
52.08 |
74.93 |
20.25 |
38.82 |
20.61 |
30.06 |
50.62 |
20.94 |
12.98 |
37.57 |
Pseudo R-square |
0.153 |
0.11 |
0.12 |
0.05 |
0.15 |
0.14 |
0.21 |
0.29 |
0.14 |
0.13 |
0.26 |
Note: Bolded coefficients are statistically significant at p<.05. Reported are logit results of model predicting defection. Sample restricted to white Democrats (including leaners). Political knowledge is the interviewer assessment of respondent knowledge. Data source is the American National Election Study cumulative file.