First Fall GPA and Fall-to-Fall Retention
Thomas Sharpe, Senior Data Scientist - Idaho State University
June 2024
Objective and Scope
Examine the correlation between how a student performs in their first fall semester and fall-to-fall retention.
Analysis included fall semester first-time post-secondary full-time bachelors degree-seeking students over the last five years and whether they returned to ISU the subsequent fall or not. Two related measures were considered for first-fall student performance:
- Term GPA:
- Quality Points / GPA Hours if greater than zero
- Essentially excluded those who completely withdrew from the analysis, which adds a certain perspective to the analysis
- “Pseudo” GPA
- Quality Points / Hours Attempted.
- Essentially treated a withdrawal (W) as an F (0 GPA) and therefore keeps those students and enrollments in the results.
A multivariate logistic regression was performed to better isolate if, after controlling for a closer to complete picture of the student, the correlation between first fall GPA and retention persists. Control variables included various characteristics about the student prior to their arrival at ISU (e.g. high school activity), financial variables (e.g. aid received), initial ISU activity (e.g. chosen course taking behavior) and various student demographics.
As previous research had identified High School GPA as one of the better predictors of retention for entering students, analysis focused on if initial college performance (first fall GPA) evolved the probability of retention for students.
Results
Overall
Term GPA
Definition: Quality Points / GPA Hours (if greater than zero)
Pseudo GPA
Definition: Quality Points / Hours Attempted
Analysis
As previous research had identified High School GPA as one of the better predictors of retention for entering students, analysis focused on if initial college performance (first fall GPA) evolved the probability of retention for students.
The following graphics show the correlation between high school GPA and first-fall performance.
Many, but of course not all, students with low high school GPAs earn lower first-term GPAs at ISU.
The following displays how that first semester performance related to fall-to-fall retention.
Initially, it appears that first-term performance may evolve the probability of retention for a student. For example, students with low high school GPA who performed well their first fall semester had a higher probability of being retained than those with a strong high school GPA that performed poorly their first fall semester.
Modeling
To vet these initial findings, multivariate analysis was performed. More specifically, a logistic regression with a dependent variable of retained or not against their first fall GPA and the various control variables considered in this analysis such as high school activity, financial variables, initial ISU activity and student demographics. The first model using their Term GPA which excludes withdrawals and the second model, Pseudo GPA, which essentially includes them.
Dependent variable: | ||
Retention | ||
Term GPA | Pseudo GPA | |
(1) | (2) | |
Term GPA | 0.948*** (0.039) | |
p = 0.000 | ||
Pseudo GPA | 0.790*** (0.033) | |
p = 0.000 | ||
High School GPA | -0.032 (0.100) | 0.047 (0.095) |
p = 0.751 | p = 0.620 | |
Athlete | -0.359 (0.245) | -0.337 (0.241) |
p = 0.142 | p = 0.162 | |
Lives Oncampus | 0.266*** (0.094) | 0.254*** (0.090) |
p = 0.005 | p = 0.005 | |
Fully Online | -0.057 (0.192) | -0.086 (0.183) |
p = 0.769 | p = 0.639 | |
Some Online | 0.126 (0.081) | 0.153** (0.078) |
p = 0.120 | p = 0.050 | |
Some Remedial | -0.209 (0.141) | 0.154 (0.132) |
p = 0.140 | p = 0.242 | |
Did Prior ISU Dual Credit | 0.064 (0.083) | 0.071 (0.080) |
p = 0.442 | p = 0.370 | |
Idaho Address | 0.258* (0.156) | 0.349** (0.150) |
p = 0.098 | p = 0.020 | |
Grant Aid | 0.00005*** (0.00002) | 0.0001*** (0.00001) |
p = 0.002 | p = 0.0001 | |
Loan Aid | 0.00003 (0.00002) | 0.00003* (0.00002) |
p = 0.106 | p = 0.053 | |
Female | 0.018 (0.081) | 0.019 (0.078) |
p = 0.826 | p = 0.810 | |
Race/Ethnicity White | -0.053 (0.118) | -0.018 (0.113) |
p = 0.653 | p = 0.871 | |
Race/Ethnicity Hispanic | 0.450*** (0.143) | 0.450*** (0.136) |
p = 0.002 | p = 0.001 | |
Age | -0.005 (0.016) | -0.002 (0.016) |
p = 0.759 | p = 0.908 | |
First Generation | 0.036 (0.085) | -0.013 (0.081) |
p = 0.676 | p = 0.872 | |
Pell Eligible | -0.032 (0.088) | -0.055 (0.085) |
p = 0.715 | p = 0.519 | |
Writing and Rhetoric I | -0.080 (0.083) | -0.056 (0.079) |
p = 0.335 | p = 0.483 | |
Introduction to Psychology | -0.136 (0.083) | -0.097 (0.080) |
p = 0.103 | p = 0.224 | |
First Year Transition | 0.241** (0.107) | 0.237** (0.103) |
p = 0.025 | p = 0.021 | |
Introduction to Art | -0.066 (0.091) | -0.036 (0.087) |
p = 0.469 | p = 0.684 | |
Biology I | 0.075 (0.103) | 0.048 (0.101) |
p = 0.466 | p = 0.637 | |
Writing and Rhetoric II | 0.115 (0.101) | 0.131 (0.098) |
p = 0.256 | p = 0.182 | |
Experimental Course | -0.164 (0.116) | -0.155 (0.111) |
p = 0.156 | p = 0.164 | |
Introduction to Sociology | -0.174 (0.115) | -0.180 (0.110) |
p = 0.129 | p = 0.102 | |
Fundamentals of Oral Comm | 0.002 (0.102) | -0.037 (0.098) |
p = 0.984 | p = 0.711 | |
Intermediate Algebra | 0.046 (0.122) | 0.109 (0.118) |
p = 0.708 | p = 0.359 | |
General Chemistry I | 0.465*** (0.165) | 0.568*** (0.162) |
p = 0.005 | p = 0.0005 | |
Personal Finance | -0.065 (0.145) | -0.095 (0.141) |
p = 0.654 | p = 0.502 | |
Varsity Ath Bengal Danc Cheer | 0.143 (0.236) | 0.165 (0.232) |
p = 0.543 | p = 0.478 | |
Introduction to Philosophy | -0.037 (0.145) | 0.020 (0.142) |
p = 0.799 | p = 0.887 | |
People and Cult of Old World | 0.160 (0.164) | 0.191 (0.159) |
p = 0.330 | p = 0.230 | |
Elementary Spanish I | 0.001 (0.148) | 0.002 (0.140) |
p = 0.996 | p = 0.988 | |
College Algebra | 0.034 (0.181) | 0.084 (0.175) |
p = 0.853 | p = 0.630 | |
Undecided | -0.270** (0.119) | -0.258** (0.115) |
p = 0.024 | p = 0.025 | |
Nursing | -0.118 (0.137) | -0.089 (0.131) |
p = 0.391 | p = 0.496 | |
Biology | -0.086 (0.168) | -0.092 (0.161) |
p = 0.611 | p = 0.569 | |
Health Science | 0.099 (0.170) | 0.198 (0.167) |
p = 0.561 | p = 0.236 | |
Psychology | 0.270 (0.186) | 0.232 (0.176) |
p = 0.147 | p = 0.189 | |
Dental Hygiene | 0.075 (0.196) | 0.132 (0.189) |
p = 0.704 | p = 0.486 | |
Computer Science | 0.133 (0.205) | 0.230 (0.193) |
p = 0.516 | p = 0.232 | |
General Business | -0.174 (0.204) | -0.225 (0.194) |
p = 0.394 | p = 0.247 | |
Pharmacy | -0.262 (0.233) | -0.162 (0.230) |
p = 0.260 | p = 0.483 | |
Radiographic Science | -0.054 (0.241) | 0.093 (0.235) |
p = 0.825 | p = 0.694 | |
Elementary Education | -0.318 (0.239) | -0.297 (0.231) |
p = 0.184 | p = 0.199 | |
Secondary Education | 0.060 (0.257) | -0.018 (0.243) |
p = 0.815 | p = 0.941 | |
Mechanical Engineering | -0.129 (0.253) | -0.079 (0.247) |
p = 0.612 | p = 0.750 | |
Communication | -0.152 (0.276) | -0.060 (0.268) |
p = 0.582 | p = 0.824 | |
Physical Education | -0.385 (0.271) | -0.383 (0.262) |
p = 0.157 | p = 0.145 | |
Nuclear Engineering | 0.301 (0.341) | 0.300 (0.325) |
p = 0.379 | p = 0.357 | |
Physical Therapist Assistant | -0.203 (0.281) | -0.154 (0.273) |
p = 0.470 | p = 0.574 | |
Management | -0.236 (0.298) | -0.261 (0.279) |
p = 0.429 | p = 0.350 | |
Accounting | -0.019 (0.299) | -0.026 (0.292) |
p = 0.951 | p = 0.930 | |
Social Work | -0.599* (0.340) | -0.441 (0.321) |
p = 0.079 | p = 0.171 | |
Fiscal Year 2020 | -0.101 (0.110) | -0.107 (0.106) |
p = 0.360 | p = 0.315 | |
Fiscal Year 2021 | 0.149 (0.130) | 0.107 (0.125) |
p = 0.252 | p = 0.393 | |
Fiscal Year 2022 | 0.288** (0.126) | 0.240** (0.121) |
p = 0.023 | p = 0.049 | |
Fiscal Year 2023 | 0.438*** (0.131) | 0.384*** (0.126) |
p = 0.001 | p = 0.003 | |
Constant | -2.266*** (0.509) | -2.170*** (0.489) |
p = 0.00001 | p = 0.00001 | |
Observations | 5,134 | 5,309 |
Log Likelihood | -2,501.883 | -2,674.326 |
Akaike Inf. Crit. | 5,121.766 | 5,466.652 |
Note: | p<0.1; p<0.05; p<0.01 |
The findings above confirm the initial results. When fast forwarding from entry to end of first term, a student’s first fall performance becomes a strong predictor of retention and high school GPA actually becomes statistically insignificant.
Key Findings
First-Fall performance was correlated with the probability of retention. Previous research had identified High School GPA as one of the better predictors of retention for entering students. The probability of entering students with low high school GPA of being retained into their subsequent fall is quite low.
However,looking into the future one semester in a way, how a student performed their first semester became the more up-to-date predictor of retention, relative to high school GPA. For example, students with low high school GPA who performed well their first fall semester had a higher probability of being retained than those with a strong high school GPA that performed poorly their first fall semester. This scenario (low high school GPA student performing well their first semester) just doesn’t happen frequently (low proportion).
It may be worth a reminder that these results reflect correlation, not causation. Nevertheless, it is a hopeful finding that students can come from less strong high school performance can still be successful.