Access Is Progress: Understanding Rural Secondary Student Access and Outcomes of Advanced Placement Courses
Abstract
1. Introduction
1.1. Literature Review
1.1.1. Advanced Curriculum
1.1.2. AP for Rural Education
1.1.3. AP Representation
1.1.4. AP Outcomes
1.1.5. Rural AP Performance
2. Materials and Methods
2.1. Purpose and Research Questions
- Is there a relationship between AP test participation, locale, state, and minority status in Georgia and South Carolina?
- Is there a relationship between AP scores above three, locale, state, and minority status in Georgia and South Carolina?
2.2. Data Description
2.3. Model Selection
2.4. Zero-Inflated Regression Model
- : dispersion parameter (.
- Γ: gamma function
3. Results
3.1. AP Participation Rate
3.2. Testing Regression Fit
3.3. ZI-NBRM to Assess AP Availability
3.4. ZI-NBRM to Assess AP Scores Above Three
4. Discussion
4.1. Recommendations
4.2. Limitations
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
GOSA | Governor’s Office of Student Achievement (Georgia) |
AP | Advanced Placement |
IB | International Baccalaureate program |
LD | Linear dichroism |
NCES | National Center of Education Statistics |
Appendix A. Public Data Sources Used in the Study
Data Source | Description | Link |
SCDE—AP Report | South Carolina AP exam performance data | https://ed.sc.gov/data/test-scores/national-assessments/ap/ (accessed on 1 January 2024) |
SCDE—Enrollment | South Carolina active student headcounts | https://ed.sc.gov/data/other/student-counts/active-student-headcounts/ (accessed on 1 January 2024) |
GOSA—AP and Enrollment Data | Georgia AP exam data and school enrollment statistics | https://gosa.georgia.gov/dashboards-data-report-card/downloadable-data (accessed on 1 January 2024) |
NCES CCD—Locale Boundaries (EDGE) | Locale codes and geographic classification of schools | https://nces.ed.gov/programs/edge/Geographic/LocaleBoundaries (accessed on 1 January 2024) |
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Diagnostic Criterion | Quasi-Poisson Regression Model (QPRM) | Negative Binomial Regression Model (NBRM) | Zero-Inflated Negative Binomial Regression (ZINBR) |
---|---|---|---|
Dispersion Parameter (Theta) | Not Applicable | 0.95 (AP Participation), 1.05 (AP Success) | 1.21 (AP Participation), 1.25 (AP Success) |
Null Deviance (AP Participation) | 159,042 | 836 | 682 |
Residual Deviance (AP Participation) | 119,032 | 723 | 558 |
Null Deviance (AP Success) | 258,826 | 7025 | 6140 |
Residual Deviance (AP Success) | 188,042 | 6495 | 5632 |
Akaike Information Criterion (AIC)—AP Participation | 120,456 | 3542 | 3178 |
Akaike Information Criterion (AIC)—AP Success | 196,232 | 7025 | 6140 |
Iterations to Convergence | 6 | 1 | 2 |
Standard Error Estimates | Underestimated | Appropriate | Appropriate |
Zero-inflation Handling | No | No | Yes |
Vuong Z-Statistic | Alternative Hypothesis | p-Value | |
---|---|---|---|
Raw | 11.001 | Model 1 > Model 2 | <0.0001 |
AIC-corrected | 10.695 | Model 1 > Model 2 | <0.0001 |
BIC-corrected | 9.980 | Model 1 > Model 2 | <0.0001 |
Count Model (NB) | Estimate | Std Error | z | p(sig) | 95% CI |
---|---|---|---|---|---|
Intercept | 5.801 | 0.094 | 61.726 | <0.001 *** | [5.62, 5.98] |
Locale | −0.606 | 0.991 | −6.117 | <0.001 *** | [−0.80, −0.41] |
State | −0.431 | 0.095 | −4.538 | <0.001 *** | [−0.61, −0.24] |
Minoritized | −0.306 | 0.096 | −3.183 | 0.0015 ** | [−0.49, −0.11] |
Zero-Inflated Model | Estimate | Std Error | z | p(sig) | 95% CI |
Intercept | −1.295 | 0.181 | −7.148 | <0.001 *** | [−1.65, −0.94] |
Locale | 0.497 | 0.179 | 2.766 | 0.005 ** | [0.14, 0.84] |
State | −0.283 | 0.182 | −1.553 | 0.121 | [−0.64, 0.07] |
Minoritized | 0.419 | 0.1809 | 2.321 | 0.020 * | [0.06, 0.77] |
Count Model (NB) | Estimate | Std Error | z | p(sig) | 95% CI |
---|---|---|---|---|---|
Intercept | 6.02 | 0.13 | 45.27 | <0.001 *** | [5.57, 6.28] |
Locale | −0.90 | 0.15 | −6.12 | <0.001 *** | [−1.19, −0.61] |
State | −0.28 | 0.14 | −3.51 | 0.04 * | [−0.56, −0.01] |
Minoritized | −0.49 | 0.13 | −2.01 | 0.0015 *** | [−0.76, −0.21] |
Zero-Inflated Model | Estimate | Std Error | z | p(sig) | 95% CI |
Intercept | −1.57 | 0.21 | −7.56 | <0.001 *** | [−1.98, −1.16] |
Locale | 0.52 | 0.19 | 2.74 | 0.005 ** | [0.15, 0.89] |
State | 0.42 | 0.18 | 3.25 | 0.02 * | [0.65, 0.79] |
Minoritized | 0.63 | 0.19 | 2.31 | 0.001 | [0.25, 1.02] |
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Grant, P.D.; Jahanaray, A.; Arrington, T.L. Access Is Progress: Understanding Rural Secondary Student Access and Outcomes of Advanced Placement Courses. Eur. J. Investig. Health Psychol. Educ. 2025, 15, 143. https://doi.org/10.3390/ejihpe15070143
Grant PD, Jahanaray A, Arrington TL. Access Is Progress: Understanding Rural Secondary Student Access and Outcomes of Advanced Placement Courses. European Journal of Investigation in Health, Psychology and Education. 2025; 15(7):143. https://doi.org/10.3390/ejihpe15070143
Chicago/Turabian StyleGrant, Phillip D., Ali Jahanaray, and T. Logan Arrington. 2025. "Access Is Progress: Understanding Rural Secondary Student Access and Outcomes of Advanced Placement Courses" European Journal of Investigation in Health, Psychology and Education 15, no. 7: 143. https://doi.org/10.3390/ejihpe15070143
APA StyleGrant, P. D., Jahanaray, A., & Arrington, T. L. (2025). Access Is Progress: Understanding Rural Secondary Student Access and Outcomes of Advanced Placement Courses. European Journal of Investigation in Health, Psychology and Education, 15(7), 143. https://doi.org/10.3390/ejihpe15070143