IL LCR Manova
IL Political Extremism
Amir Freund
2025-08-08
wave_var <- "Wave"
wave_order <- c("First", "Second", "Third", "Fourth", "Fifth", "Sixth")
community_var <- "pe_left_center_right"
community_title <- "Political Orientation"
community_order <- c("left", "center", "right") # Set "center" as the reference level since it is the 'neutral' level.
dimension_vars <- c("Ideology" = "pe_ideology", "Violence" = "pe_violence","Intolerance" = "pe_intolerance")
demographic_vars <- c("gender", "age_group") # , "education"
respondent_id_var <- "respondent_id"
event_var <- "event_occurred"
event_names = c("Inland Terror", "Bennet Gov. Fall", "Judicial Reform", "Gallant Dismissal", "Oct. 7th War")
# Read the data from indices_table.txt
df <- as.data.frame(readRDS("Israel Survey/data/il_pe.RDS"))
# Calculate the Political Extremism Gauge Indices
indices_result <- af_gauge_indices(df, pop_var1 = wave_var, comm_var1 = community_var)
df <- indices_result$df1 Pairwise Analysis
m1 <- af_manova_model(data = df, wave_pair = c("First", "Second"), is_panel = FALSE,
extremism_vars = dimension_vars, wave_var = wave_var,
group_var = community_var, control_vars = demographic_vars,
id_var = respondent_id_var, event_var = event_var)
m2 <- af_manova_model(data = df, wave_pair = c("Second", "Third"), is_panel = FALSE,
extremism_vars = dimension_vars, wave_var = wave_var,
group_var = community_var, control_vars = demographic_vars,
id_var = respondent_id_var, event_var = event_var)
m3 <- af_manova_model(data = df, wave_pair = c("Third", "Fourth"), is_panel = TRUE,
extremism_vars = dimension_vars, wave_var = wave_var,
group_var = community_var, control_vars = demographic_vars,
id_var = respondent_id_var, event_var = event_var)
m4 <- af_manova_model(data = df, wave_pair = c("Fourth", "Fifth"), is_panel = FALSE,
extremism_vars = dimension_vars, wave_var = wave_var,
group_var = community_var, control_vars = demographic_vars,
id_var = respondent_id_var, event_var = event_var)
m5 <- af_manova_model(data = df, wave_pair = c("Fifth", "Sixth"), is_panel = FALSE,
extremism_vars = dimension_vars, wave_var = wave_var,
group_var = community_var, control_vars = demographic_vars,
id_var = respondent_id_var, event_var = event_var)
r1 <- af_manova_results(m1, group_legend_title = community_title, plot_title = event_names[1])
r2 <- af_manova_results(m2, group_legend_title = community_title, plot_title = event_names[2])
r3 <- af_manova_results(m3, group_legend_title = community_title, plot_title = event_names[3])
r4 <- af_manova_results(m4, group_legend_title = community_title, plot_title = event_names[4])
r5 <- af_manova_results(m5, group_legend_title = community_title, plot_title = event_names[5])
plot_list <- list (r1$profile_plot, r2$profile_plot, r3$profile_plot, r4$profile_plot, r5$profile_plot)
title <- "Events Impact on Extremism Dimensions by Political Orientation"
subtitle <- "Pairwise multivariate ANOVA (MANOVA) analysis"
note <- "models 1,2,4,5 include cross-sectional survey waves, model 3 includes panel survey waves."
y_title <- "Mean Scores"
combined_plot <- af_combine_manova_plots(
plot_list = plot_list, main_title = title, subtitle = subtitle, note = note, y_axis_title = y_title)
print(combined_plot)
1.1 Inland Terror
Type III MANOVA Tests:
Sum of squares and products for error:
pe_ideology pe_violence pe_intolerance
pe_ideology 10981.3193 -696.3135 144.3300
pe_violence -696.3135 2907.8640 959.1213
pe_intolerance 144.3300 959.1213 6414.8861
------------------------------------------
Term: (Intercept)
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 7555.819 3314.650 7542.454
pe_violence 3314.650 1454.098 3308.787
pe_intolerance 7542.454 3308.787 7529.113
Multivariate Tests: (Intercept)
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.6853927 2325.983 3 3203 < 2.22e-16 ***
Wilks 1 0.3146073 2325.983 3 3203 < 2.22e-16 ***
Hotelling-Lawley 1 2.1785662 2325.983 3 3203 < 2.22e-16 ***
Roy 1 2.1785662 2325.983 3 3203 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 80.74783 -31.163465 -23.938914
pe_violence -31.16347 12.027093 9.238881
pe_intolerance -23.93891 9.238881 7.097053
Multivariate Tests: event_occurred
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0107042 11.5522 3 3203 1.572e-07 ***
Wilks 1 0.9892958 11.5522 3 3203 1.572e-07 ***
Hotelling-Lawley 1 0.0108200 11.5522 3 3203 1.572e-07 ***
Roy 1 0.0108200 11.5522 3 3203 1.572e-07 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 252.83967 -18.909131 -139.8934
pe_violence -18.90913 5.361815 52.0852
pe_intolerance -139.89337 52.085200 516.2625
Multivariate Tests: pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0978791 54.95704 6 6408 < 2.22e-16 ***
Wilks 2 0.9035655 55.53018 6 6406 < 2.22e-16 ***
Hotelling-Lawley 2 0.1051279 56.10326 6 6404 < 2.22e-16 ***
Roy 2 0.0866842 92.57874 3 3204 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: gender
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 255.8700441 78.9899000 -0.759273691
pe_violence 78.9899000 24.3850519 -0.234396149
pe_intolerance -0.7592737 -0.2343961 0.002253083
Multivariate Tests: gender
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0352332 38.9911 3 3203 < 2.22e-16 ***
Wilks 1 0.9647668 38.9911 3 3203 < 2.22e-16 ***
Hotelling-Lawley 1 0.0365199 38.9911 3 3203 < 2.22e-16 ***
Roy 1 0.0365199 38.9911 3 3203 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: age_group
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 50.87196 -23.75719 37.14001
pe_violence -23.75719 28.39269 -47.78936
pe_intolerance 37.14001 -47.78936 81.48543
Multivariate Tests: age_group
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 0.0314536 11.31967 9 9615.000 < 2.22e-16 ***
Wilks 3 0.9686313 11.41743 9 7795.411 < 2.22e-16 ***
Hotelling-Lawley 3 0.0322968 11.48930 9 9605.000 < 2.22e-16 ***
Roy 3 0.0293085 31.31124 3 3205.000 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred:pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 35.61209 -13.931134 -26.33292
pe_violence -13.93113 5.486435 10.00659
pe_intolerance -26.33292 10.006587 21.83676
Multivariate Tests: event_occurred:pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0073738 3.952186 6 6408 0.00059880 ***
Wilks 2 0.9926284 3.957075 6 6406 0.00059145 ***
Hotelling-Lawley 2 0.0074240 3.961959 6 6404 0.00058419 ***
Roy 2 0.0071046 7.587759 3 3204 4.6942e-05 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
1.2 Bennet Gov. Fall
Type III MANOVA Tests:
Sum of squares and products for error:
pe_ideology pe_violence pe_intolerance
pe_ideology 6867.35866 -524.5048 20.87414
pe_violence -524.50482 2386.0624 741.03880
pe_intolerance 20.87414 741.0388 5125.00075
------------------------------------------
Term: (Intercept)
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 5158.019 2781.156 5852.324
pe_violence 2781.156 1499.573 3155.518
pe_intolerance 5852.324 3155.518 6640.086
Multivariate Tests: (Intercept)
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.7150793 2075.562 3 2481 < 2.22e-16 ***
Wilks 1 0.2849207 2075.562 3 2481 < 2.22e-16 ***
Hotelling-Lawley 1 2.5097480 2075.562 3 2481 < 2.22e-16 ***
Roy 1 2.5097480 2075.562 3 2481 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 2.390096 2.265898 5.270528
pe_violence 2.265898 2.148155 4.996654
pe_intolerance 5.270528 4.996654 11.622323
Multivariate Tests: event_occurred
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0031309 2.597418 3 2481 0.050748 .
Wilks 1 0.9968691 2.597418 3 2481 0.050748 .
Hotelling-Lawley 1 0.0031408 2.597418 3 2481 0.050748 .
Roy 1 0.0031408 2.597418 3 2481 0.050748 .
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 329.48267 -67.05813 -331.6678
pe_violence -67.05813 28.52099 149.6096
pe_intolerance -331.66784 149.60957 787.1407
Multivariate Tests: pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.1747714 79.21980 6 4964 < 2.22e-16 ***
Wilks 2 0.8287895 81.41308 6 4962 < 2.22e-16 ***
Hotelling-Lawley 2 0.2022823 83.61002 6 4960 < 2.22e-16 ***
Roy 2 0.1781666 147.40317 3 2482 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: gender
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 208.39212 68.23992 -31.521768
pe_violence 68.23992 22.34579 -10.322094
pe_intolerance -31.52177 -10.32209 4.768039
Multivariate Tests: gender
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0460056 39.88137 3 2481 < 2.22e-16 ***
Wilks 1 0.9539944 39.88137 3 2481 < 2.22e-16 ***
Hotelling-Lawley 1 0.0482241 39.88137 3 2481 < 2.22e-16 ***
Roy 1 0.0482241 39.88137 3 2481 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: age_group
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 95.63705 -25.12365 46.20348
pe_violence -25.12365 31.62212 -40.89030
pe_intolerance 46.20348 -40.89030 57.62548
Multivariate Tests: age_group
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 0.0419780 11.74563 9 7449.000 < 2.22e-16 ***
Wilks 3 0.9583368 11.83472 9 6038.253 < 2.22e-16 ***
Hotelling-Lawley 3 0.0431460 11.88751 9 7439.000 < 2.22e-16 ***
Roy 3 0.0333643 27.61455 3 2483.000 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred:pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 18.6344266 -0.6357863 7.806405
pe_violence -0.6357863 0.7568399 2.692659
pe_intolerance 7.8064052 2.6926588 15.180429
Multivariate Tests: event_occurred:pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0057064 2.367308 6 4964 0.027592 *
Wilks 2 0.9943001 2.367041 6 4962 0.027609 *
Hotelling-Lawley 2 0.0057261 2.366772 6 4960 0.027625 *
Roy 2 0.0041530 3.435914 3 2482 0.016267 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
1.3 Judicial Reform
Type III MANOVA Tests:
Sum of squares and products for error:
pe_ideology pe_violence pe_intolerance
pe_ideology 3653.53584 -263.4479 -12.16402
pe_violence -263.44787 1132.1982 299.64894
pe_intolerance -12.16402 299.6489 2974.11061
------------------------------------------
Term: (Intercept)
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 2308.418 1200.5620 2650.462
pe_violence 1200.562 624.3884 1378.452
pe_intolerance 2650.462 1378.4524 3043.188
Multivariate Tests: (Intercept)
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.682026 950.9107 3 1330 < 2.22e-16 ***
Wilks 1 0.317974 950.9107 3 1330 < 2.22e-16 ***
Hotelling-Lawley 1 2.144911 950.9107 3 1330 < 2.22e-16 ***
Roy 1 2.144911 950.9107 3 1330 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 0.01397858 -0.1694271 -0.04529566
pe_violence -0.16942711 2.0535379 0.54900512
pe_intolerance -0.04529566 0.5490051 0.14677432
Multivariate Tests: event_occurred
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0018233 0.8098173 3 1330 0.48842
Wilks 1 0.9981767 0.8098173 3 1330 0.48842
Hotelling-Lawley 1 0.0018267 0.8098173 3 1330 0.48842
Roy 1 0.0018267 0.8098173 3 1330 0.48842
------------------------------------------
Term: pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 154.0407 -33.99090 -158.57989
pe_violence -33.9909 10.07508 46.57252
pe_intolerance -158.5799 46.57252 215.33734
Multivariate Tests: pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.1046494 24.49650 6 2662 < 2.22e-16 ***
Wilks 2 0.8960533 25.00905 6 2660 < 2.22e-16 ***
Hotelling-Lawley 2 0.1152208 25.52140 6 2658 < 2.22e-16 ***
Roy 2 0.1079561 47.89651 3 1331 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: gender
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 152.76377 54.727708 24.470573
pe_violence 54.72771 19.606233 8.766597
pe_intolerance 24.47057 8.766597 3.919836
Multivariate Tests: gender
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0631004 29.85861 3 1330 < 2.22e-16 ***
Wilks 1 0.9368996 29.85861 3 1330 < 2.22e-16 ***
Hotelling-Lawley 1 0.0673502 29.85861 3 1330 < 2.22e-16 ***
Roy 1 0.0673502 29.85861 3 1330 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: age_group
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 109.12662 -33.14113 29.34509
pe_violence -33.14113 37.90901 -20.08097
pe_intolerance 29.34509 -20.08097 16.74445
Multivariate Tests: age_group
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 0.0673814 10.20158 9 3996.000 1.0968e-15 ***
Wilks 3 0.9335516 10.30644 9 3237.021 7.9428e-16 ***
Hotelling-Lawley 3 0.0701798 10.36062 9 3986.000 5.7450e-16 ***
Roy 3 0.0510979 22.68748 3 1332.000 2.5101e-14 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred:pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 0.63911481 -0.08173498 0.1043172
pe_violence -0.08173498 6.59379216 -0.7907546
pe_intolerance 0.10431721 -0.79075456 0.1088301
Multivariate Tests: event_occurred:pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0063987 1.424005 6 2662 0.201355
Wilks 2 0.9936024 1.424976 6 2660 0.200985
Hotelling-Lawley 2 0.0064377 1.425943 6 2658 0.200617
Roy 2 0.0062575 2.776245 3 1331 0.040095 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
1.4 Gallant Dismissal
Type III MANOVA Tests:
Sum of squares and products for error:
pe_ideology pe_violence pe_intolerance
pe_ideology 6721.3933 -447.1900 -147.6616
pe_violence -447.1900 1958.5432 478.3327
pe_intolerance -147.6616 478.3327 5054.3931
------------------------------------------
Term: (Intercept)
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 2947.947 1463.9190 3389.280
pe_violence 1463.919 726.9665 1683.080
pe_intolerance 3389.280 1683.0803 3896.684
Multivariate Tests: (Intercept)
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.6097896 1150.683 3 2209 < 2.22e-16 ***
Wilks 1 0.3902104 1150.683 3 2209 < 2.22e-16 ***
Hotelling-Lawley 1 1.5627199 1150.683 3 2209 < 2.22e-16 ***
Roy 1 1.5627199 1150.683 3 2209 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 9.477481 2.2029277 -1.1054014
pe_violence 2.202928 0.5120444 -0.2569374
pe_intolerance -1.105401 -0.2569374 0.1289280
Multivariate Tests: event_occurred
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0018994 1.401218 3 2209 0.2406
Wilks 1 0.9981006 1.401218 3 2209 0.2406
Hotelling-Lawley 1 0.0019030 1.401218 3 2209 0.2406
Roy 1 0.0019030 1.401218 3 2209 0.2406
------------------------------------------
Term: pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 230.53549 -15.386354 -207.255724
pe_violence -15.38635 2.506649 3.717557
pe_intolerance -207.25572 3.717557 255.470549
Multivariate Tests: pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0801917 30.77106 6 4420 < 2.22e-16 ***
Wilks 2 0.9203320 31.20875 6 4418 < 2.22e-16 ***
Hotelling-Lawley 2 0.0859954 31.64629 6 4416 < 2.22e-16 ***
Roy 2 0.0787716 58.02839 3 2210 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: gender
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 208.458219 92.256367 5.9826152
pe_violence 92.256367 40.829463 2.6476977
pe_intolerance 5.982615 2.647698 0.1716972
Multivariate Tests: gender
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0559363 43.62817 3 2209 < 2.22e-16 ***
Wilks 1 0.9440637 43.62817 3 2209 < 2.22e-16 ***
Hotelling-Lawley 1 0.0592506 43.62817 3 2209 < 2.22e-16 ***
Roy 1 0.0592506 43.62817 3 2209 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: age_group
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 82.37454 -31.09623 44.26317
pe_violence -31.09623 31.64215 -35.71754
pe_intolerance 44.26317 -35.71754 49.55744
Multivariate Tests: age_group
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 0.0396330 9.866846 9 6633.000 3.6370e-15 ***
Wilks 3 0.9606080 9.946311 9 5376.276 2.7849e-15 ***
Hotelling-Lawley 3 0.0407568 9.997483 9 6623.000 2.1294e-15 ***
Roy 3 0.0334432 24.647674 3 2211.000 1.0997e-15 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred:pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 18.380618 -4.278467 -8.537851
pe_violence -4.278467 1.130429 1.784352
pe_intolerance -8.537851 1.784352 4.272206
Multivariate Tests: event_occurred:pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0037405 1.380331 6 4420 0.218437
Wilks 2 0.9962600 1.380801 6 4418 0.218245
Hotelling-Lawley 2 0.0037534 1.381270 6 4416 0.218054
Roy 2 0.0036024 2.653741 3 2210 0.047084 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
1.5 Oct. 7th War
Type III MANOVA Tests:
Sum of squares and products for error:
pe_ideology pe_violence pe_intolerance
pe_ideology 8357.2436 -541.8413 -261.9729
pe_violence -541.8413 2401.0483 575.1074
pe_intolerance -261.9729 575.1074 6144.8528
------------------------------------------
Term: (Intercept)
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 5459.225 2712.203 6027.581
pe_violence 2712.203 1347.452 2994.569
pe_intolerance 6027.581 2994.569 6655.108
Multivariate Tests: (Intercept)
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.6965669 2009.432 3 2626 < 2.22e-16 ***
Wilks 1 0.3034331 2009.432 3 2626 < 2.22e-16 ***
Hotelling-Lawley 1 2.2956196 2009.432 3 2626 < 2.22e-16 ***
Roy 1 2.2956196 2009.432 3 2626 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 0.01331587 -0.01323362 -0.2962955
pe_violence -0.01323362 0.01315187 0.2944654
pe_intolerance -0.29629553 0.29446535 6.5929646
Multivariate Tests: event_occurred
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0010786 0.9451729 3 2626 0.41785
Wilks 1 0.9989214 0.9451729 3 2626 0.41785
Hotelling-Lawley 1 0.0010798 0.9451729 3 2626 0.41785
Roy 1 0.0010798 0.9451729 3 2626 0.41785
------------------------------------------
Term: pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 197.988429 1.3765715 -234.984413
pe_violence 1.376572 0.5315731 -9.383015
pe_intolerance -234.984413 -9.3830145 393.932021
Multivariate Tests: pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0829274 37.87898 6 5254 < 2.22e-16 ***
Wilks 2 0.9175072 38.50364 6 5252 < 2.22e-16 ***
Hotelling-Lawley 2 0.0894360 39.12826 6 5250 < 2.22e-16 ***
Roy 2 0.0837825 73.36550 3 2627 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: gender
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 175.55221 90.800794 -15.415967
pe_violence 90.80079 46.964854 -7.973594
pe_intolerance -15.41597 -7.973594 1.353740
Multivariate Tests: gender
Df test stat approx F num Df den Df Pr(>F)
Pillai 1 0.0451116 41.35318 3 2626 < 2.22e-16 ***
Wilks 1 0.9548884 41.35318 3 2626 < 2.22e-16 ***
Hotelling-Lawley 1 0.0472428 41.35318 3 2626 < 2.22e-16 ***
Roy 1 0.0472428 41.35318 3 2626 < 2.22e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: age_group
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 98.32895 -42.90311 52.51452
pe_violence -42.90311 24.15415 -32.16636
pe_intolerance 52.51452 -32.16636 47.34359
Multivariate Tests: age_group
Df test stat approx F num Df den Df Pr(>F)
Pillai 3 0.0300046 8.849857 9 7884.000 2.2418e-13 ***
Wilks 3 0.9700720 8.921462 9 6391.145 1.7415e-13 ***
Hotelling-Lawley 3 0.0307725 8.974162 9 7874.000 1.3510e-13 ***
Roy 3 0.0279726 24.503987 3 2628.000 1.2340e-15 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
------------------------------------------
Term: event_occurred:pe_left_center_right
Sum of squares and products for the hypothesis:
pe_ideology pe_violence pe_intolerance
pe_ideology 5.073683 5.856826 2.295252
pe_violence 5.856826 7.440281 4.314510
pe_intolerance 2.295252 4.314510 5.118435
Multivariate Tests: event_occurred:pe_left_center_right
Df test stat approx F num Df den Df Pr(>F)
Pillai 2 0.0046517 2.041398 6 5254 0.056849 .
Wilks 2 0.9953504 2.042114 6 5252 0.056761 .
Hotelling-Lawley 2 0.0046693 2.042828 6 5250 0.056673 .
Roy 2 0.0041835 3.663331 3 2627 0.011894 *
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1