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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.