| Literature DB >> 35959026 |
Ayline Heller1, Oliver Decker2, Vera Clemens3, Jörg M Fegert3, Scarlett Heiner1, Elmar Brähler1,4, Peter Schmidt1,5.
Abstract
Modern theories of authoritarianism have stressed the importance of threat to the expression of authoritarian attitudes and intolerance. Arguably, authoritarian tendencies may have increased during COVID-19 pandemic, a major threat to life and security. One issue arising when comparing mean scores is that of measurement invariance. Meaningful comparisons are only possible, if latent constructs are similar between groups and/or across time. This prerequisite is rarely ever tested in research on authoritarianism. In this study, we aim to analyze the short scale for authoritarianism KSA-3 by investigating its measurement invariance on two levels (three first-order and one second-order factors) and latent mean changes using two German representative samples (N = 4,905). Specifically, we look at differences before and during the pandemic (2017 vs. 2020). While measurement invariance holds across both levels in all conditions, we find a decrease in latent means in 2020, contrary to expectations and established theories. Moreover, latent means differ with regard to gender, education, and east-west Germany. We conclude that analyses of latent means and measurement invariance instead of mean comparisons with composites should become the standard. Future studies should focus on threat as a moderator between authoritarianism and intolerance, and on possible interactions with context variables.Entities:
Keywords: authoritarianism; latent mean differences; measurement invariance; repeated cross sections; second-order factors
Year: 2022 PMID: 35959026 PMCID: PMC9358451 DOI: 10.3389/fpsyg.2022.941466
Source DB: PubMed Journal: Front Psychol ISSN: 1664-1078
Sociodemographic characteristics of the final sample stratified by year.
| 2017/18 | 2020 | Total | |
|---|---|---|---|
|
| |||
| Female | 1,369 (55.5) | 1,290 (52.9) | 2,659 (54.2) |
| Male | 1,096 (44.5) | 1,149 (47.1) | 2,245 (45.8) |
| Missing | 1 | 1 | |
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| |||
|
|
|
| |
| Age, years | 48.64 (17.88) | 46.03 (17.73) | 47.34 (17.85) |
| Age range | 14–93 | 14–91 | 14–93 |
| Age groups | |||
| 14–29 years | 465 (18.9) | 546 (22.4) | 1,011 (20.6) |
| 30–39 years | 355 (14.4) | 400 (16.4) | 755 (15.4) |
| 40–49 years | 388 (15.7) | 365 (15.0) | 753 (15.4) |
| 50–59 years | 511 (20.7) | 524 (21.5) | 1,035 (21.1) |
| 60–69 years | 421 (17.1) | 373 (15.3) | 794 (16.2) |
| ≥70 years | 325 (13.2) | 232 (9.5) | 557 (11.4) |
|
| |||
| Married/living together | 1,042 (42.3) | 954 (39.1) | 1996 (40.7) |
| Married/separated | 63 (2.6) | 69 (2.8) | 132 (2.7) |
| Unmarried | 795 (32.3) | 966 (39.6) | 1761 (35.9) |
| Divorced | 336 (13.6) | 290 (11.9) | 626 (12.8) |
| Widowed | 218 (8.8) | 147 (6.0) | 365 (7.4) |
| Missing | 11 (0.4) | 14 (0.6) | 25 (0.5) |
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| ≤9 years | 770 (31.2) | 552 (22.6) | 1,322 (27) |
| 10 years | 1,108 (44.9) | 1,066 (43.7) | 2,174 (44.3) |
| ≥11 years | 519 (21.1) | 741 (30.4) | 1,260 (25.7) |
| Still in school | 60 (2.4) | 74 (3.0) | 134 (2.7) |
| Missing | 8 (0.3) | 7 (0.3) | 15 (0.3) |
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| Education/training | 200 (8.1) | 240 (9.8) | 440 (8.9) |
| Working | 1,319 (53.5) | 1,360 (55.7) | 2,679 (54.6) |
| Unemployed/working <15 h per week | 204 (8.2) | 223 (9.1) | 427 (8.7) |
| Voluntary service, maternity leave, etc. | 26 (1.1) | 23 (0.9) | 49 (1.0) |
| House wife/man | 78 (3.2) | 71 (2.9) | 149 (3.0) |
| Retired | 624 (25.3) | 492 (20.2) | 1,116 (22.8) |
| Missing | 14 (0.6) | 31 (1.3) | 45 (0.9) |
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| German | 2,365 (95.9) | 2,342 (96.0) | 4,707 (96.0) |
| Non-German | 100 (4.1) | 90 (3.7) | 190 (3.9) |
| Missing | 8 (0.3) | 8 (0.2) | |
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| 0 | 146 (5.9) | 173 (7.1) | 319 (6.5) |
| 0–500 | 93 (3.8) | 123 (5.0) | 216 (4.4) |
| 500–649 | 78 (3.2) | 65 (2.7) | 143 (2.9) |
| 650–749 | 122 (4.9) | 86 (3.5) | 208 (4.2) |
| 750–899 | 150 (6.1) | 125 (5.1) | 275 (5.6) |
| 900–999 | 145 (5.9) | 109 (4.5) | 254 (5.2) |
| 1,000–1,149 | 158 (6.4) | 139 (5.7) | 297 (6.1) |
| 1,150–1,249 | 186 (7.5) | 131 (5.4) | 317 (6.5) |
| 1,250–1,499 | 347 (14.1) | 289 (11.8) | 636 (13.0) |
| 1,500–1999 | 488 (19.8) | 395 (16.2) | 883 (18.0) |
| 2000–2,499 | 275 (11.2) | 331 (13.6) | 606 (12.4) |
| 2,500–3,499 | 146 (5.9) | 246 (10.1) | 392 (8.0) |
| 3,500–4,999 | 61 (2.5) | 246 (10.1) | 144 (2.9) |
| 5,000 + | 14 (0.6) | 43 (1.8) | 57 (1.2) |
| Missing | 56 (2.3) | 102 (4.2) | 158 (3.2) |
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| Protestant | 920 (37.3) | 626 (25.7) | 1,546 (31.5) |
| Catholic | 740 (30) | 678 (27.8) | 1,418 (28.9) |
| Muslim | 60 (2.4) | 114 (4.7) | 174 (3.5) |
| Others | 47 (1.9) | 95 (3.9) | 142 (2.9) |
| No confession | 601 (24.4) | 883 (36.2) | 1,484 (30.3) |
| Missing | 97 (3.9) | 44 (1.8) | 141 (2.9) |
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| West | 2014 (81.7) | 1949 (79.9) | 3,963 (80.8) |
| East | 451 (18.3) | 491 (20.1) | 942 (19.2) |
Steps of measurement invariance in models with a second-order factor following Rudnev et al. (2018).
| First-order factors | Second-order factor | ||||
|---|---|---|---|---|---|
| Factor loadings | Item intercepts | Latent means/intercepts | Factor loadings | Latent means | |
| 1. Configural | Free, but one per factor is fixed to 1 | Free, but one per factor is fixed to 0 | Free | Free, but one per factor is fixed to 1 | Fixed to 0 |
| 2. First-order metric | Set equal across groups and one per factor is fixed to 1 | Free, but one per factor is fixed to 0 | Free | Free, but one per factor is fixed to 1 | Fixed to 0 |
| 3. First- and second-order metric | Set equal across groups and one per factor is fixed to 1 | Free, but one per factor is fixed to 0 | Free | Set equal across groups and one per factor is fixed to 1 | Fixed to 0 |
| 4. First-order scalar | Set equal across groups and one per factor is fixed to 1 | Set equal across groups and one per factor is fixed to 0 | Free | Set equal across groups and one per factor is fixed to 1 | Fixed to 0 |
| 5. First- and second-order scalar | Set equal across groups and one per factor is fixed to 1 | Set equal across groups and one per factor is fixed to 0 | Set equal across groups | Set equal across groups and one per factor is fixed to 1 | Free, but fixed to 0 in one group |
Figure 1Structure tested in CFA and factor loadings for each dimension.
Tests for invariance across time of measurement, region of Germany, gender, age groups and education.
| χ2
| Δ χ2 (Δ |
|
| Δ |
|
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| |
|---|---|---|---|---|---|---|---|---|
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| ||||||||
| Model 1 | 609.837 (46) | 0.974 | 0.071 | 0.031 | 118155.695 | |||
| Model 2 | 628.259 (52) | 18.422 (6) | 0.005 | 0.974 | <0.001 | 0.067 | 0.034 | 118162.117 |
| Model 3 | 637.755 (54) | 9.469 (2) | 0.009 | 0.973 | 0.001 | 0.066 | 0.035 | 118167.613 |
| Model 4 | 843.842 (60) | 206.087 (6) | <0.001 | 0.964 | 0.009 | 0.073 | 0.040 | 118352.699 |
| Model 5 | 855.621 (62) | 11.779 (2) | 0.003 | 0.964 | <0.001 | 0.072 | 0.041 | 118369.479 |
|
| ||||||||
| Model 1 | 631.685 (46) | 0.973 | 0.072 | 0.032 | 118292.687 | |||
| Model 2 | 647.763 (52) | 16.078 (6) | 0.013 | 0.972 | 0.001 | 0.068 | 0.035 | 118296.764 |
| Model 3 | 649.737 (54) | 1.974 (2) | 0.372 | 0.972 | <0.001 | 0.067 | 0.035 | 118294.739 |
| Model 4 | 682.805 (60) | 33.068 (6) | <0.001 | 0.971 | 0.001 | 0.065 | 0.036 | 118315.806 |
| Model 5 | 693.832 (62) | 11.027 (2) | 0.004 | 0.970 | 0.001 | 0.064 | 0.036 | 118322.834 |
|
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| Model 1 | 622.723 (46) | 0.974 | 0.072 | 0.031 | 118463.860 | |||
| Model 2 | 636.855 (52) | 14.132 (6) | 0.028 | 0.973 | 0.001 | 0.068 | 0.034 | 118465.992 |
| Model 3 | 637.602 (54) | 0.747 (2) | 0.688 | 0.973 | <0.001 | 0.066 | 0.034 | 118462.739 |
| Model 4 | 643.909 (60) | 6.307 (6) | 0.390 | 0.973 | <0.001 | 0.063 | 0.034 | 118457.046 |
| Model 5 | 647.985 (62) | 4.076 (2) | 0.130 | 0.973 | <0.001 | 0.062 | 0.034 | 118457.121 |
|
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| Model 1 | 740.355 (138) | 0.972 | 0.073 | 0.034 | 118325.681 | |||
| Model 2 | 776.362 (168) | 36.007 (30) | 0.208 | 0.972 | <0.001 | 0.067 | 0.038 | 118301.688 |
| Model 3 | 787.372 (178) | 11.01 (10) | 0.357 | 0.972 | <0.001 | 0.065 | 0.040 | 118292.698 |
| Model 4 | 872.825 (208) | 85.453 (30) | <0.001 | 0.969 | 0.002 | 0.063 | 0.042 | 118318.151 |
| Model 5 | 947.464 (218) | 74.639 (10) | <0.001 | 0.966 | 0.003 | 0.064 | 0.045 | 118372.789 |
|
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| Model 1 | 644.513 (69) | 0.971 | 0.073 | 0.034 | 114375.363 | |||
| Model 2 | 659.955 (81) | 15.442 (12) | 0.218 | 0.971 | <0.001 | 0.067 | 0.036 | 114366.804 |
| Model 3 | 665.075 (85) | 5.12 (4) | 0.275 | 0.971 | <0.001 | 0.066 | 0.037 | 114363.925 |
| Model 4 | 705.311 (97) | 40.236 (12) | <0.001 | 0.970 | 0.001 | 0.063 | 0.039 | 114380.161 |
| Model 5 | 747.924 (101) | 42.613 (4) | <0.001 | 0.968 | 0.002 | 0.064 | 0.040 | 114414.773 |
df = degrees of freedom; CFI = comparative-fit-index; RMSEA = Root Mean Square Error of Approximation, SRMR = Standardized Root Mean-square Residual, AIC = Akaike’s information criterion, Model 1 = configural model, Model 2 = first order metric, Model 3 = first and second order metric, Model 4 = first order scalar, Model 5 = first and second order scalar.
Estimated and standardized means.
| Latent mean (est.) | Standard error | Latent mean (std.) |
| |
|---|---|---|---|---|
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| 2017 | 0.180 | 0.024 | 0.225 | <0.001 |
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| West | −0.393 | 0.031 | −0.536 | <0.001 |
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| Male | 0.060 | 0.024 | 0.082 | 0.011 |
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| <10 years | 0.553 | 0.034 | 0.783 | <0.001 |
| 10 years | 0.436 | 0.031 | 0.606 | <0.001 |
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| 14–29 years | −0.466 | 0.046 | −0.644 | <0.001 |
| 30–39 years | −0.334 | 0.048 | −0.468 | <0.001 |
| 40–49 years | −0.239 | 0.047 | −0.341 | <0.001 |
| 50–59 years | −0.254 | 0.046 | −0.337 | <0.001 |
| 60–69 years | −0.284 | 0.047 | −0.385 | <0.001 |
Ref. = reference category.