Submitted:
04 February 2026
Posted:
05 February 2026
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Abstract

Keywords:
1. Introduction
1.1. Study Objectives and Novelty
2. Materials and Methods
2.1. Overview of Data Sources and Study Area
2.2. Data Integration and Preparation
2.3. Statistical and Spatial Analyses
3. Results
3.1. Descriptive Statistics: Tooth Loss Prevalence
3.2. Descriptive Statistics: Covariates
3.3. ANOVA and Pairwise Comparisons
3.4. Ordinary Least Squares (OLS) Regression: Without Interaction Terms
3.5. OLS Regression with Year × Race/Ethnicity-Majority Interactions
3.6. Spatial Autocorrelation (Global Moran’s I)
3.7. Hot Spot Analysis (Getis-Ord Gi)*
3.8. Spatial Lag Model (SLM)
3.9. Spatial Error Model (SEM)
3.10. Geographically Weighted Regression (GWR)
4. Discussion
4.1. Overall Trends and Persistent Disparities
4.2. Socioeconomic and Demographic Factors: Elaborating on Mechanisms
4.3. Racial Disparities: A Contradiction and Exacerbation
4.4. Spatial Dependence and Heterogeneity: Localized Interventions
4.5. Hot Spot Analysis (Getis-Ord Gi): Localized Clusters of Tooth Loss
4.6. Limitations
4.7. Future Research
4.8. Policy Implications (Prioritized)
- Targeted Interventions in Hotspots: The findings from the GWR and hotspot analysis highlight the value of prioritizing resources for ZCTAs that exhibit consistent high levels of dental attrition and significant correlations with socioeconomic factors such as poverty, inadequate educational achievement, and insufficient insurance coverage. This observation is consistent with the advocacy for spatially focused interventions as posited by several researchers [70,74,75].
- Expand Access to Affordable Care: The expansion of Medicare oral health coverage [65,66,67] and the correction of 'dental coverage disparities' [76] are of critical significance, especially in the context of the unequal effects of inadequate insurance on marginalized populations, which is supported by empirical findings underscoring the importance of insurance coverage [40,41,42].
- Address Social Determinants: Policies that target poverty alleviation, housing insecurity, and food insecurity are anticipated to yield considerable indirect advantages for oral health, as evidenced by empirical studies concerning the social determinants of health [77].
- Community-Based Programs: Initiatives involving community health workers [78,79], mobile dental units [80], and culturally customized oral health education [81,82] have the potential to enhance accessibility and encourage preventive practices, especially within marginalized populations, thus building upon well-established research regarding effective community-based interventions.
5. Conclusions
Declaration of Generative AI and AI-assisted technologies
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| ZCTA | ZIP Code Tabulation Area |
| GWR | Geographically Weighted Regression |
| SLM | Spatial lag Model |
| SEM | Spatial Error Model |
| ACS | American Community Survey |
| REGARDS | REasons for Geographic and Racial Differences in Stroke |
| OLS | Ordinary Least Squares |
| ANOVA | Analysis of Variance |
| KDE | Kernel Density Estimate |
Appendix A
Appendix A.1
| 2018 | 2020 | 2022 | |
| Mean | 15.87 | 15.25 | 14.44 |
| Standard Deviation | 6.09 | 5.64 | 6.41 |
| Min Value | 3.00 | 3.30 | 1.90 |
| 25% | 11.70 | 11.40 | 9.90 |
| Median value | 15.00 | 14.50 | 13.40 |
| 75% | 19.20 | 18.40 | 17.70 |
| Max Value | 59.90 | 53.90 | 56.80 |
Appendix A.2
| Mean | Median | Standard Deviation | |||||||
| 2018 | 2020 | 2022 | 2018 | 2020 | 2022 | 2018 | 2020 | 2022 | |
| Percent Uninsured (>=65 years) | 0.620 | 0.620 | 0.630 | 0.000 | 0.000 | 0.000 | 2.130 | 2.320 | 2.210 |
| High school graduate or higher (>=65 Years) | 61.40 | 62.24 | 62.77 | 62.80 | 63.70 | 64.30 | 15.18 | 15.97 | 15.97 |
| Bachelor's degree or higher (6>=5 Years) | 21.19 | 22.64 | 23.71 | 17.60 | 19.00 | 20.10 | 15.74 | 16.47 | 16.60 |
| Population Percentage (>=65 years) | 18.63 | 19.53 | 20.16 | 17.39 | 18.09 | 18.69 | 8.33 | 8.94 | 9.11 |
| Number of individuals (>=65 years) per housing unit | 0.470 | 0.490 | 0.500 | 0.450 | 0.470 | 0.480 | 0.170 | 0.180 | 0.190 |
| Monthly Housing Costs in ZCTA | 926 | 962 | 1088 | 792 | 820 | 926 | 472 | 504 | 568 |
| Median income in ZCTA | 59188 | 63673 | 73352 | 54079 | 58042 | 67140 | 24898 | 26988 | 30807 |
| Percent below poverty level (>=65 years) | 9.37 | 9.40 | 10.04 | 7.60 | 7.40 | 8.10 | 8.54 | 8.97 | 8.94 |
| Female Percentage (>=65 years) | 53.65 | 53.43 | 53.15 | 54.32 | 54.22 | 53.90 | 9.00 | 9.69 | 9.49 |
Appendix A.3
| Group1 | Group2 | Mean difference | p-adj | lower | upper | reject |
| Total tooth loss (>=65 years) in 2018 | Total tooth loss (>=65 years) in 2020 | -0.62 | 0.00 | -0.74 | -0.50 | TRUE |
| Total tooth loss (>=65 years) in 2018 | Total tooth loss (>=65 years) in 2022 | -1.43 | 0.00 | -1.55 | -1.31 | TRUE |
| Total tooth loss (>=65 years) in 2020 | Total tooth loss (>=65 years) in 2022 | -0.81 | 0.00 | -0.93 | -0.69 | TRUE |
Appendix A.4
| Metric | SLM (2018) | SEM (2018) | SLM (2020) | SEM (2020) | SLM (2022) | SEM (2022) | Trend & Interpretation |
| AIC | 150789 | 142360 | 143483 | 144176 | 153664 | 154568 | SLM had a better fit in 2020, but SEM was better in 2018 and 2022. |
| Pseudo R² | 0.61 | 0.61 | 0.79 | 0.59 | 0.71 | 0.55 | SLM explained more variance than SEM, particularly in 2020 and 2022. |
| Log Likelihood | -71200 | -71170 | -72050 | -72078 | -77220 | -77275 | SLM had a stronger likelihood in 2020 and 2022, indicating significant spillover effects. |
Appendix A.5
| Metric | Lambda (SEM 2018) | Rho (SLM 2018) | Lambda (SEM 2020) | Rho (SLM 2020) | Lambda (SEM 2022) | Rho (SLM 2022) | Trend & Interpretation |
| Spatial Dependence | 0.80 | 0.10 | 0.80 | 0.60 | 0.70 | 0.60 | In 2018, SEM (lambda) was stronger, but in 2020 & 2022, SLM (rho) was stronger. |
Appendix A.6
| Variable | SLM (2018) | SEM (2018) | SLM (2020) | SEM (2020) | SLM (2022) | SEM (2022) | Trend & Interpretation |
| Percent Uninsured (>=65 years) | 0.03 | 0.05 | 0.11 | 0.04 | 0.05 | 0.06 | Uninsured status had a larger spillover effect in 2020 (SLM), but by 2022, it was more localized (SEM). |
| High School Graduate (>=65 years) | -0.08 | -0.05 | -0.75 | -0.04 | -0.06 | -0.06 | Education had a stronger impact in SLM for 2020, suggesting regional clusters of educated areas influencing neighbors. |
| Bachelor’s Degree or Higher (>=65 years) | -0.10 | -0.07 | -1.04 | -0.06 | -0.08 | -0.09 | SLM shows education-related spillover effects were highest in 2020. |
| Population (>=65 years) | -0.15 | -0.15 | -0.74 | -0.09 | -0.12 | -0.13 | Aging populations influenced neighboring regions more in 2020 (SLM stronger). |
| Individuals per Housing Unit (>=65 years) | 5.38 | 5.41 | 0.50 | 2.85 | 4.10 | 4.13 | Housing crowding effects were strongest in 2018, declined in 2020, then partially rebounded in 2022. |
| Median Income in ZCTA | 0.00 | 0.00 | -1.38 | 0.00 | -2.61 | 0.00 | In 2020 and 2022, income had stronger spillover effects (SLM). |
| Percent Below Poverty (>=65 years) | 0.07 | 0.06 | 0.43 | 0.04 | 0.07 | 0.06 | Poverty had stronger spillover effects in 2020, but returned to local effects in 2022. |
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| Model Fit Statistics | Value | |||||
| Dependent variable | Total tooth loss (≥65 years, %) | |||||
| Number of observations | 89380 | |||||
| R2 | 0.609 | |||||
| Adjusted R2 | 0.609 | |||||
| F-statistic | 9943 | |||||
| Prob (F-statistic) | <0.001 | |||||
| Log-likelihood | -246200 | |||||
| AIC | 492437 | |||||
| BIC | 492578 | |||||
| Durbin–Watson statistic | 1.414 | |||||
| Breusch–Godfrey LM statistic | 7841 | |||||
| Breusch–Godfrey p-value | <0.001 | |||||
| Variable | Coef | Std Err | t | P>|t| | 95% CI | VIF |
| Contstant | 28.545 | 0.145 | 196.304 | <0.001 | [28.26, 28.83] | 162.213 |
| Percent Uninsured (>=65 years) | 0.042 | 0.006 | 7.033 | <0.001 | [0.03, 0.054] | 1.079 |
| High school graduate or higher (>=65 Years) | -0.112 | 0.001 | -87.952 | <0.001 | [-0.114, -0.109] | 2.475 |
| Bachelor's degree or higher (6>=5 Years) | -0.131 | 0.001 | -93.914 | <0.001 | [-0.134, -0.128] | 3.196 |
| Population Percentage (>=65 years) | -0.149 | 0.003 | -44.157 | <0.001 | [-0.155, -0.142] | 5.435 |
| Number of individuals (>=65 years) per housing unit | 5.522 | 0.161 | 34.383 | <0.001 | [5.207, 5.837] | 5.141 |
| Monthly Housing Costs in ZCTA | -0.0030 | 0.000 | -62.706 | <0.001 | [-0.003, -0.003] | 3.888 |
| Median income in ZCTA | -0.0000656 | 0.000 | -73.018 | <0.001 | [-0.0000674, -0.0000638] | 3.989 |
| Percent below poverty level (>=65 years) | 0.072 | 0.002 | 43.841 | <0.001 | [0.069, 0.076] | 1.307 |
| Female Percentage (>=65 years) | 0.00140 | 0.001 | 0.990 | 0.322 | [-0.001, 0.004] | 1.036 |
| Year_Dummy_2020 (referenced 2018) | 0.093 | 0.031 | 2.980 | 0.003 | [0.032, 0.155] | 1.345 |
| Year_Dummy_2022 (referenced 2018) | 0.452 | 0.033 | 13.880 | <0.001 | [0.388, 0.515] | 1.447 |
| White_Majority Zipcode (>=65 years) | 2.882 | 0.089 | 32.349 | <0.001 | [2.707, 3.056] | 4.474 |
| Black_Majority Zipcode (>=65 years) | 7.481 | 0.105 | 70.929 | <0.001 | [7.274, 7.687] | 3.020 |
| Other_Majority Zipcode (>=65 years) | 7.302 | 0.124 | 58.764 | <0.001 | [7.058, 7.545] | 2.386 |
| Model Fit Statistics | Value | ||||||
| Dependent variable | Total tooth loss (≥65 years, %) | ||||||
| Number of observations | 89380 | ||||||
| R2 | 0.596 | ||||||
| Adjusted R2 | 0.596 | ||||||
| F-statistic | 7769 | ||||||
| Prob (F-statistic) | <0.001 | ||||||
| Log-likelihood | -247910 | ||||||
| AIC | 495268 | ||||||
| BIC | 495437 | ||||||
| Durbin–Watson statistic | 1.402 | ||||||
| Breusch–Godfrey LM statistic | 8128 | ||||||
| Breusch–Godfrey p-value | <0.001 | ||||||
| Variable | Coef | Std Err | t | P>|t| | 95% CI | VIF | |
| Constant | 31.62 | 0.14 | 229.90 | <0.001 | [31.35, 31.89] | 113.31 | |
| Percent Uninsured (>=65 years) | 0.04 | 0.01 | 6.98 | <0.001 | [0.03, 0.05] | 1.07 | |
| High school graduate or higher (>=65 Years) | -0.11 | 0.00 | -89.60 | <0.001 | [-0.12, -0.11] | 2.36 | |
| Bachelor's degree or higher (6>=5 Years) | -0.13 | 0.00 | -94.14 | <0.001 | [-0.13, -0.13] | 3.10 | |
| Population Percentage (>=65 years) | -0.15 | 0.00 | -44.75 | <0.001 | [-0.16, -0.15] | 5.41 | |
| Number of individuals (>=65 years) per housing unit | 5.60 | 0.16 | 34.35 | <0.001 | [5.28, 5.92] | 5.12 | |
| Monthly Housing Costs in ZCTA | -0.003 | 0.00 | -60.81 | <0.001 | [-0.003, -0.004] | 3.86 | |
| Median income in ZCTA | -0.0000673 | 0.00 | -74.02 | <0.001 | [-0.0000691, -0.0000656] | 3.96 | |
| Percent below poverty level (>=65 years) | 0.08 | 0.00 | 46.30 | <0.001 | [0.07, 0.08] | 1.30 | |
| Female Percentage (>=65 years) | 0.0033 | 0.00 | 2.38 | 0.020 | [0.001, 0.006] | 1.03 | |
| Year_Dummy_2020 (referenced 2018) | -3.08 | 0.15 | -21.16 | <0.001 | [-3.37, -2.8] | 28.25 | |
| Year_Dummy_2022 (referenced 2018) | -2.26 | 0.14 | -15.95 | <0.001 | [-2.54, -1.98] | 26.54 | |
| Interactive_year_2020_with_White_Majority (referenced to 2018, Hispanic) | 3.06 | 0.15 | 20.83 | <0.001 | [2.77, 3.35] | 27.41 | |
| Interactive_year_2020_with_Black_Majority (referenced to 2018, Hispanic) | 7.11 | 0.18 | 38.89 | <0.001 | [6.75, 7.47] | 2.50 | |
| Interactive_year_2020_with_Other_Majority (referenced to 2018, Hispanic) | 6.10 | 0.22 | 28.20 | <0.001 | [5.67, 6.52] | 1.74 | |
| Interactive_year_2022_with_White_Majority (referenced to 2018, Hispanic) | 2.51 | 0.14 | 17.60 | <0.001 | [2.23, 2.79] | 25.75 | |
| Interactive_year_2022_with_Black_Majority (referenced to 2018, Hispanic) | 7.53 | 0.180 | 41.92 | <0.001 | [7.18, 7.89] | 2.41 | |
| Interactive_year_2022_with_Other_Majority (referenced to 2018, Hispanic) | 7.45 | 0.21 | 34.99 | <0.001 | [7.03, 7.87] | 1.71 | |
| Year | Moran’s I | p-value | Z-score | Interpretation |
| 2018 | 0.71 | 0.00 | 205.27 | Strong spatial clustering |
| 2020 | 0.71 | 0.00 | 212.74 | Strong spatial clustering (slightly lower than 2018) |
| 2022 | 0.63 | 0.00 | 184.59 | Strong but weaker clustering than previous years |
| Model Fit Statistics | Value | |||
| AIC: | 150788.770 | |||
| Schwarz criterion | 150871.537 | |||
| Pseudo R-squared | 0.719 | |||
| Spatial Pseudo R-squared | 0.613 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 22.596 | 0.205 | 110.017 | <0.001 |
| Percent Uninsured (>=65 years) | 0.029 | 0.010 | 2.991 | 0.003 |
| High school graduate or higher (>=65 Years) | -0.083 | 0.002 | -43.711 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -0.097 | 0.002 | -45.893 | <0.001 |
| Percentage of Population (>=65 years) | -0.151 | 0.006 | -25.314 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 5.383 | 0.286 | 18.832 | <0.001 |
| Monthly Housing Costs in ZCTA | -0.001 | 0.000 | -12.215 | <0.001 |
| Median income in ZCTA | 0.000 | 0.000 | -52.622 | <0.001 |
| Percent below poverty level (>=65 years) | 0.071 | 0.003 | 25.968 | <0.001 |
| Coefficient for the spatially lag | 0.062 | 0.001 | 89.047 | <0.001 |
| Variable | Direct | Indirect | Total | |
| Percent Uninsured (>=65 years) | 0.029 | 0.002 | 0.031 | |
| High school graduate or higher (>=65 Years) | -0.083 | -0.006 | -0.089 | |
| Bachelor's degree or higher (>=65 Years) | -0.097 | -0.006 | -0.104 | |
| Percentage of Population (>=65 years) | -0.151 | -0.010 | -0.161 | |
| Number of individuals (>=65 years) per housing unit | 5.383 | 0.354 | 5.737 | |
| Monthly Housing Costs in ZCTA | -0.001 | 0.000 | -0.001 | |
| Median income in ZCTA | 0.000 | 0.000 | 0.000 | |
| Percent below poverty level (>=65 years) | 0.071 | 0.005 | 0.076 |
| Model Fit Statistics | Value | |||
| AIC: | 143482.792 | |||
| Schwarz criterion | 143565.765 | |||
| Pseudo R-squared | 0.787 | |||
| Spatial Pseudo R-squared | 0.636 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 5.415 | 0.067 | 80.647 | <0.001 |
| Percent Uninsured (>=65 years) | 0.114 | 0.016 | 7.323 | <0.001 |
| High school graduate or higher (>=65 Years) | -0.752 | 0.023 | -32.559 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -1.041 | 0.027 | -39.201 | <0.001 |
| Percentage of Population (>=65 years) | -0.742 | 0.036 | -20.776 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 0.496 | 0.035 | 14.342 | <0.001 |
| Monthly Housing Costs in ZCTA | -0.195 | 0.030 | -6.450 | <0.001 |
| Median income in ZCTA | -1.384 | 0.029 | -47.980 | <0.001 |
| Percent below poverty level (>=65 years) | 0.426 | 0.017 | 25.027 | <0.001 |
| Coefficient for the spatially lag | 0.645 | 0.004 | 150.326 | <0.001 |
| Variable | Direct | Indirect | Total | |
| Percent Uninsured (>=65 years) | 0.114 | 0.207 | 0.321 | |
| High school graduate or higher (>=65 Years) | -0.752 | -1.367 | -2.118 | |
| Bachelor's degree or higher (>=65 Years) | -1.041 | -1.893 | -2.935 | |
| Percentage of Population (>=65 years) | -0.742 | -1.350 | -2.092 | |
| Number of individuals (>=65 years) per housing unit | 0.497 | 0.903 | 1.399 | |
| Monthly Housing Costs in ZCTA | -0.195 | -0.355 | -0.550 | |
| Median income in ZCTA | -1.384 | -2.516 | -3.900 | |
| Percent below poverty level (>=65 years) | 0.426 | 0.774 | 1.200 |
| Model Fit Statistics | Value | |||
| AIC: | 153663.559 | |||
| Schwarz criterion | 153746.171 | |||
| Pseudo R-squared | 0.707 | |||
| Spatial Pseudo R-squared | 0.587 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 16.038 | 0.248 | 64.733 | <0.001 |
| Percent Uninsured (>=65 years) | 0.045 | 0.010 | 4.536 | <0.001 |
| High school graduate or higher (>=65 Years) | -0.062 | 0.002 | -28.541 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -0.079 | 0.002 | -33.381 | <0.001 |
| Percentage of Population (>=65 years) | -0.119 | 0.006 | -20.977 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 4.096 | 0.269 | 15.252 | <0.001 |
| Monthly Housing Costs in ZCTA | 0.000 | 0.000 | -2.259 | 0.024 |
| Median income in ZCTA | 0.000 | 0.000 | -44.291 | <0.001 |
| Percent below poverty level (>=65 years) | 0.071 | 0.003 | 25.845 | <0.001 |
| Coefficient for the spatially lag | 0.571 | 0.005 | 110.270 | <0.001 |
| Variable | Direct | Indirect | Total | |
| Percent Uninsured (>=65 years) | 0.045 | 0.060 | 0.105 | |
| High school graduate or higher (>=65 Years) | -0.062 | -0.082 | -0.144 | |
| Bachelor's degree or higher (>=65 Years) | -0.079 | -0.105 | -0.184 | |
| Percentage of Population (>=65 years) | -0.119 | -0.158 | -0.277 | |
| Number of individuals (>=65 years) per housing unit | 4.096 | 5.455 | 9.552 | |
| Monthly Housing Costs in ZCTA | 0.000 | 0.000 | 0.000 | |
| Median income in ZCTA | 0.000 | 0.000 | 0.000 | |
| Percent below poverty level (>=65 years) | 0.071 | 0.094 | 0.165 |
| Model Fit Statistics | Value | |||
| AIC: | 142360 | |||
| Schwarz criterion | 142434 | |||
| Mean dependent var | 16 | |||
| S.D. dependent var | 6 | |||
| Pseudo R-squared | 1 | |||
| Log likelihood | -71171 | |||
| Sigma-square ML | 7 | |||
| S.E of regression | 3 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 26.707 | 0.174 | 153.386 | <0.001 |
| Percent Uninsured (>=65 years) | 0.049 | 0.008 | 6.174 | <0.001 |
| High school graduate or higher (>=65 Years) | -0.053 | 0.002 | -30.723 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -0.073 | 0.002 | -36.992 | <0.001 |
| Percentage of Population (>=65 years) | -0.149 | 0.005 | -29.225 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 5.408 | 0.247 | 21.866 | <0.001 |
| Monthly Housing Costs in ZCTA | -0.002 | 0.000 | -20.553 | <0.001 |
| Median income in ZCTA | 0.000 | 0.000 | -50.086 | <0.001 |
| Percent below poverty level (>=65 years) | 0.058 | 0.002 | 25.983 | <0.001 |
| Lambda | 0.795 | 0.004 | 178.992 | <0.001 |
| Model Fit Statistics | Value | |||
| AIC: | 144176 | |||
| Schwarz criterion | 144251 | |||
| Mean dependent var | 15 | |||
| S.D. dependent var | 6 | |||
| Pseudo R-squared | 1 | |||
| Log likelihood | -72079 | |||
| Sigma-square ML | 7 | |||
| S.E of regression | 3 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 24.999 | 0.161 | 155.488 | <0.001 |
| Percent Uninsured (>=65 years) | 0.041 | 0.007 | 6.289 | <0.001 |
| High school graduate or higher (>=65 Years) | -0.041 | 0.002 | -26.779 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -0.063 | 0.002 | -35.792 | <0.001 |
| Percentage of Population (>=65 years) | -0.093 | 0.004 | -22.931 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 2.852 | 0.197 | 14.501 | <0.001 |
| Monthly Housing Costs in ZCTA | -0.003 | 0.000 | -30.549 | <0.001 |
| Median income in ZCTA | 0.000 | 0.000 | -43.063 | <0.001 |
| Percent below poverty level (>=65 years) | 0.040 | 0.002 | 21.512 | <0.001 |
| Lambda | 0.788 | 0.004 | 175.568 | <0.001 |
| Model Fit Statistics | Value | |||
| AIC: | 154568 | |||
| Schwarz criterion | 154642 | |||
| Mean dependent var | 14 | |||
| S.D. dependent var | 6 | |||
| Pseudo R-squared | 1 | |||
| Log likelihood | -77275 | |||
| Sigma-square ML | 12 | |||
| S.E of regression | 3 | |||
| Variable | Coefficient | Std Err | z-Statistic | Probability |
| Constant | 26.843 | 0.230 | 116.531 | <0.001 |
| Percent Uninsured (>=65 years) | 0.055 | 0.010 | 5.551 | <0.001 |
| High school graduate or higher (>=65 Years) | -0.059 | 0.002 | -24.919 | <0.001 |
| Bachelor's degree or higher (>=65 Years) | -0.085 | 0.003 | -32.351 | <0.001 |
| Percentage of Population (>=65 years) | -0.132 | 0.006 | -22.589 | <0.001 |
| Number of individuals (>=65 years) per housing unit | 4.134 | 0.279 | 14.844 | <0.001 |
| Monthly Housing Costs in ZCTA | -0.002 | 0.000 | -20.115 | <0.001 |
| Median income in ZCTA | 0.000 | 0.000 | -41.864 | <0.001 |
| Percent below poverty level (>=65 years) | 0.058 | 0.003 | 21.287 | <0.001 |
| Lambda | 0.683 | 0.006 | 118.410 | <0.001 |
| Model Fit Statistics | Global Regression | GWR | |||
| AIC: | 158960 | 132322 | |||
| AICc: | 158962 | 135334 | |||
| BIC: | 106130 | 181177 | |||
| R2: | 0.618 | 0.898 | |||
| Adjusted R2 | 0.618 | 0.872 | |||
| Variable | Mean | STD | Min | Median | Max |
| Intercept | 14.808 | 2.281 | 0.829 | 14.877 | 29.156 |
| Percent Uninsured (>=65 years) | 0.168 | 0.929 | -14.623 | 0.106 | 7.144 |
| High school graduate or higher (>=65 Years) | -0.991 | 1.096 | -6.024 | -0.832 | 3.758 |
| Bachelor's degree or higher (>=65 Years) | -1.328 | 1.247 | -6.487 | -1.191 | 3.990 |
| Percentage of Population (>=65 years) | -2.076 | 2.183 | -15.626 | -1.661 | 7.510 |
| Number of individuals (>=65 years) per housing unit | 1.546 | 1.870 | -7.237 | 1.247 | 10.639 |
| Monthly Housing Costs in ZCTA | -1.402 | 2.226 | -17.471 | -1.269 | 8.653 |
| Median income in ZCTA | -2.651 | 1.803 | -11.835 | -2.351 | 4.888 |
| Percent below poverty level (>=65 years) | 0.643 | 0.779 | -2.827 | 0.523 | 4.540 |
| Model Fit Statistics | Global Regression | GWR | |||
| AIC: | 159588 | 136157 | |||
| AICc: | 159590 | 139076 | |||
| BIC: | 72008 | 185014 | |||
| R2: | 0.598 | 0.877 | |||
| Adjusted R2 | 0.598 | 0.847 | |||
| Variable | Mean | STD | Min | Median | Max |
| Intercept | 14.526 | 2.169 | 2.727 | 14.478 | 26.317 |
| Percent Uninsured (>=65 years) | 0.255 | 1.142 | -19.818 | 0.134 | 17.001 |
| High school graduate or higher (>=65 Years) | -0.992 | 1.184 | -8.729 | -0.802 | 2.588 |
| Bachelor's degree or higher (>=65 Years) | -1.346 | 1.329 | -9.424 | -1.215 | 3.077 |
| Percentage of Population (>=65 years) | -1.578 | 1.964 | -14.644 | -1.241 | 4.887 |
| Number of individuals (>=65 years) per housing unit | 1.083 | 1.651 | -4.494 | 0.809 | 10.064 |
| Monthly Housing Costs in ZCTA | -1.634 | 1.864 | -18.698 | -1.456 | 5.306 |
| Median income in ZCTA | -2.040 | 1.502 | -10.418 | -1.794 | 4.730 |
| Percent below poverty level (>=65 years) | 0.602 | 0.793 | -1.867 | 0.456 | 4.270 |
| Model Fit Statistics | Global Regression | GWR | |||
| AIC: | 163614 | 147509 | |||
| AICc: | 163616 | 149226 | |||
| BIC: | 217169 | 185050 | |||
| R2: | 0.555 | 0.816 | |||
| Adjusted R2 | 0.555 | 0.781 | |||
| Variable | Mean | STD | Min | Median | Max |
| Intercept | 13.360 | 2.012 | 6.224 | 13.390 | 25.118 |
| Percent Uninsured (>=65 years) | 0.208 | 0.845 | -5.720 | 0.154 | 7.092 |
| High school graduate or higher (>=65 Years) | -1.088 | 1.261 | -7.173 | -0.947 | 4.091 |
| Bachelor's degree or higher (>=65 Years) | -1.488 | 1.399 | -8.192 | -1.407 | 5.952 |
| Percentage of Population (>=65 years) | -1.916 | 2.090 | -13.552 | -1.567 | 4.230 |
| Number of individuals (>=65 years) per housing unit | 1.358 | 1.832 | -6.463 | 1.134 | 11.637 |
| Monthly Housing Costs in ZCTA | -1.521 | 2.147 | -12.023 | -1.334 | 6.770 |
| Median income in ZCTA | -2.612 | 1.868 | -10.920 | -2.234 | 3.068 |
| Percent below poverty level (>=65 years) | 0.721 | 0.856 | -1.712 | 0.614 | 4.334 |
| Variable | 2018 | 2020 | 2022 | Trend & Interpretation |
| Pseudo R² | 0.719 | 0.787 | 0.707 | Best model fit in 2020, slight decline in 2022. |
| Spatial Pseudo R² | 0.613 | 0.636 | 0.587 | Spatial dependence strongest in 2020, weaker in 2022. |
| AIC (Model Fit) | 150789 | 143483 | 153664 | Best model fit in 2020, worsened in 2022. |
| Spatial Lag Coefficient (ρ) | 0.062 | 0.645 | 0.571 | Spatial dependence peaked in 2020, then weakened. |
| Percent Uninsured (>=65 years) | 0.031 | 0.321 | 0.105 | Huge impact in 2020 due to COVID-related healthcare access issues. Decreased in 2022 but still significant. |
| High School Graduate (>=65 years) | -0.089 | -2.118 | -0.144 | Biggest impact in 2020, possibly due to disparities in access to dental care. Stabilized in 2022. |
| Bachelor’s Degree or Higher (>=65 years) | -0.104 | -2.935 | -0.184 | Strongest effect in 2020, weakened in 2022 but still significant. |
| Population (>=65 years) | -0.161 | -2.092 | -0.277 | Aging population had the most impact in 2020, but spatial spillover reduced in 2022. |
| Individuals per Housing Unit (>=65 years) | 5.737 | 1.399 | 9.552 | Strongest impact in 2022, suggesting household crowding effects worsened post-COVID. |
| Monthly Housing Costs | -0.001 | -0.550 | 0.000 | Had a stronger effect in 2020, possibly due to economic hardships during the pandemic. |
| Median Income in ZCTA | 0.000 | -3.900 | 0.000 | Income disparities peaked in 2020 but had little impact in 2022, suggesting a shift in determinants of tooth loss. |
| Percent Below Poverty (>=65 years) | 0.076 | 1.200 | 0.165 | Poverty had the highest effect in 2020, but still strongly contributes to disparities in 2022. |
| Variable | 2018 SEM | 2020 SEM | 2022 SEM | Trend & Interpretation |
| AIC | 142360 | 144176 | 154568 | Model fit worsened in 2022, suggesting new unobserved influences on tooth loss. |
| Schwarz Criterion (BIC) | 142434 | 144251 | 154642 | Consistent trend. |
| Pseudo R² | 0.610 | 0.587 | 0.546 | Explanatory power declined, suggesting stronger spatial heterogeneity over time. |
| Log Likelihood | -71171 | -72079 | -77275 | Model fit degraded over time, likely due to shifting regional disparities. |
| Sigma-Square ML | 6.753 | 6.522 | 11.746 | Error variance increased significantly in 2022, meaning more unexplained variation. |
| S.E. of Regression | 2.599 | 2.554 | 3.427 | Greater residual variability in 2022, meaning larger differences in regional effects. |
| Percent Uninsured (>=65 years) | 0.049 | 0.041 | 0.055 | Rebounded in 2022, suggesting access to healthcare still varies regionally. |
| High School Graduate (>=65 years) | -0.053 | -0.041 | -0.059 | Education’s impact increased in 2022, reinforcing its importance in oral health. |
| Bachelor’s Degree or Higher (>=65 years) | -0.073 | -0.063 | -0.085 | Higher education had the strongest effect in 2022, likely due to better self-care and healthcare access. |
| Population (>=65 years) | -0.149 | -0.093 | -0.132 | Stronger protective effect in 2018, weakened in 2020, but partially rebounded in 2022. |
| Individuals per Housing Unit (>=65 years) | 5.408 | 2.852 | 4.134 | Crowding had the strongest effect in 2018, was weaker in 2020, and rebounded in 2022 as economic stressors persisted. |
| Monthly Housing Costs in ZCTA | -0.002 | -0.003 | -0.002 | Weaker effect in 2022, suggesting housing affordability had a diminished role. |
| Median Income in ZCTA | 0.000 | 0.000 | 0.000 | Stable effect, meaning income remained a key protective factor. |
| Percent Below Poverty (>=65 years) | 0.058 | 0.040 | 0.058 | Worsened in 2022, meaning economic disparities continued to drive tooth loss inequalities. |
| Lambda (Spatial Error Term) | 0.795 | 0.788 | 0.683 | Spatial autocorrelation weakened in 2022, meaning unobserved geographic factors are less dominant now. |
| Metric | 2018 GWR | 2020 GWR | 2022 GWR | Trend & Interpretation |
| R² | 0.898 | 0.877 | 0.816 | Model fit was highest in 2018, but declined over time, likely due to external disruptions (e.g., COVID-19, policy shifts). |
| Adjusted R² | 0.872 | 0.847 | 0.781 | Suggests increasing external influences affecting disparities. (e.g., policy changes, economic shifts). |
| AIC | 132322 | 136157 | 147509 | Best model fit in 2018, worsened over time, indicating changing patterns in disparities. |
| BIC | 181177 | 185014 | 185050 | Model complexity increased slightly, especially post-2020. |
| Percent Uninsured (>=65 years) | 0.168 | 0.255 | 0.208 | Uninsured seniors had the strongest impact on tooth loss in 2020 (COVID-19 impact). The effect weakened in 2022 as healthcare access recovered. |
| High School Graduate (>=65 years) | -0.991 | -0.992 | -1.088 | Consistently reduces tooth loss, with a slightly stronger effect in 2022. Education remained a key protective factor. |
| Bachelor’s Degree or Higher (>=65 years) | -1.328 | -1.346 | -1.488 | Higher education consistently reduced tooth loss, with the strongest effect in 2022. Likely due to greater awareness and access to dental care. |
| Population (>=65 years) | -2.076 | -1.578 | -1.916 | Aging population showed the strongest protective effect in 2018, weakened in 2020, but slightly recovered in 2022. |
| Individuals per Housing Unit (>=65 years) | 1.546 | 1.083 | 1.358 | Crowding became a weaker predictor in 2020 but rebounded in 2022, suggesting persistent economic stress in some areas. |
| Monthly Housing Costs in ZCTA | -1.402 | -1.634 | -1.521 | Stronger effect in 2020, indicating economic pressures during COVID-19, slightly weaker in 2022. |
| Median Income in ZCTA | -2.651 | -2.040 | -2.612 | Income had the strongest impact in 2018, weakened in 2020 (possibly due to pandemic shocks), then partially recovered in 2022. |
| Percent Below Poverty (>=65 years) | 0.643 | 0.602 | 0.721 | Poverty consistently worsened tooth loss, with the strongest effect in 2022. Suggests long-term economic disparities worsened post-pandemic. |
| Year | Hot Spots (High Tooth Loss) | Cold Spots (Low Tooth Loss) | Interpretation |
| 2018 | Concentrated in the Southeast, Appalachia, and Midwest. | Strongest in the West Coast, Northeast, and urban centers. | Structural disparities were already in place. |
| 2020 | Expanded into Midwest, Texas, and urban areas. | Shrunk significantly, especially in previously stable regions. | Pandemic worsened disparities and disrupted dental care access. |
| 2022 | Remained strong in Southern and rural regions. | Some recovery in urban and high-income areas. | Post-pandemic, disparities remained, with long-term factors driving the trends. |
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