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Education Special Series |
RR Utzman, PT, MPH, PhD, is Associate Professor and Academic Coordinator of Clinical Education, Division of Physical Therapy, West Virginia University School of Medicine, PO Box 9226, Morgantown, WV 26506-9226 (USA)
DL Riddle, PT, PhD, FAPTA, is Otto D Payton Professor, Department of Physical Therapy, Medical College of Virginia Campus, Virginia Commonwealth University, Richmond, Va
DV Jewell, PT, PhD, CCS, FAACVPR, is Assistant Professor, Department of Physical Therapy, Medical College of Virginia Campus, Virginia Commonwealth University
Address all correspondence to Dr Utzman at: rutzman{at}hsc.wvu.edu
Submitted August 8, 2006;
Accepted April 18, 2007
| Abstract |
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Subjects: A nationally representative sample of 20 physical therapist education programs provided data on 3,582 students.
Methods: Programs provided data regarding student demographic characteristics, undergraduate grade point average (uGPA), quantitative and verbal Graduate Record Examination scores (qGRE, vGRE), and academic difficulty. Data were analyzed using logistic regression. Rules for predicting risk of academic difficulty were developed.
Results: A prediction rule that included uGPA, vGRE, qGRE, age, and race or ethnicity was developed from the entire sample. Prediction rules for individual programs showed large variation.
Discussion and Conclusion: Undergraduate grade point average, GRE scores, age, and race or ethnicity can be useful for estimating student academic risk. Programs should calculate their own estimates of student risk. Academic programs should use risk estimates in combination with other data to recruit, admit, and retain students.
| Introduction |
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Numerous authors have studied the relationships among preprofessional GPA, standardized test scores, and academic performance in professional physical therapy curricula. Some early studies examined standardized tests that are now rarely used by physical therapist education programs, such as the Allied Health Professions Admissions Test4 or the Scholastic Aptitude Test.7 Other, generally more recent, studies have examined the use of GPA and scores on different portions of the Graduate Record Examination (GRE) to predict professional program GPA6,8,11,16,17 or raw scores on the National Physical Therapist Examination (NPTE).6,16 Day17 conducted the only study we found that examined student data from more than one physical therapist education program. Using linear regression, Day found that preprofessional GPA, scores on the analytic portion of the GRE (aGRE), and race or ethnicity accounted for less than 20% of the variance in GPA among 522 students from 4 schools.
We found no studies that accounted for differences based on sex or ethnicity. In other fields, it has been suggested that sex or ethnic differences exist in performance on the GRE,16,18–20 but such differences do not relate to academic performance.21,22 Because previous studies have relied on relatively small samples, the effect of demographic characteristics, such as sex and race or ethnicity, on prediction of physical therapist student performance is unclear.
Recruiting and retaining students who are likely to succeed is an important goal for physical therapist education programs. In 2003, 12% of students admitted to physical therapist education programs did not graduate within 150% of the normally expected time frame.23 When students struggle academically, programs may utilize more resources in providing remedial learning experiences and ensuring student competence. The purpose of this study was to investigate the utility of quantitative admissions data in predicting whether physical therapist students encountered academic difficulty during the professional academic program. Because academic programs make admissions decisions using only prematriculation data, we examined variables for which data were collected prior to students enrolling in professional programs. Data for variables obtained after matriculation (eg, professional program GPA) would potentially confound the findings for prematriculation variables. For the purposes of this study, academic difficulty was defined as being placed on probation, suspension or dismissal from the education program, or repeating courses or units due to poor academic performance.
By collecting data from a national sample of professional Master of Physical Therapy (MPT) and Doctor of Physical Therapy (DPT) programs, we examined the following questions: (1) can preadmission demographic data, GPA, and verbal and quantitative Graduate Record Examination scores (vGRE, qGRE), either in isolation or in combination, be used to predict physical therapist student risk for academic difficulty on a national scale, and (2) does the extent of prediction of academic difficulty vary by program?
| Method |
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The online directory of accredited programs compiled by the Commission on Accreditation in Physical Therapy Education24 was used to identify accredited programs. Of the 209 programs accredited in 2004,23 the online directory of accredited programs24 provided profiles and contact information for 191 programs. The Internet Web sites for all 191 programs were reviewed to identify those programs that used the GRE and that reported an estimated enrollment of at least 30 students each year. Ninety-five programs were eligible.
Programs were recruited for participation using quota sampling. In quota sampling, subjects are enrolled based on the proportion of key characteristics in the population of interest.25 We planned to recruit one fourth (n=24) of the 95 eligible programs. This approach allowed us to draw a sample that was representative with respect to geography and degree level. Recruiting 24 programs also would provide data on an adequate number of students for statistical analysis.26
The 95 eligible programs were classified into 4 geographic categories (Northeast, South, Midwest, and West) which corresponded to US Census Bureau regions.27 Within each geographic category, programs were further categorized by degree level. Programs that had conferred professional DPT degrees in the years 2000 through 2004 were classified as DPT programs. Programs that conferred professional MPT degrees in the years 2000 through 2004 were classified as MPT programs. Programs that were conferring MPT degrees in 2000 but began conferring DPT degrees during any of the next 4 years were classified as "transition" programs (Tab. 1).
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Subjects
Participating programs were asked to provide data regarding all students matriculating into the classes scheduled to graduate in the years 2000 through 2004. Three of the participating programs withdrew from the study because of difficulty compiling the needed data. The remaining 20 programs provided data on 3,585 students.
Data Collection
Academic difficulty was the dependent variable in the study. Programs were asked to indicate whether each student encountered academic difficulty in the academic program. As listed in Table 2, program directors or their designee assigned each student to 1 of 6 categories describing the student's progress in the program. We used categorical rankings of academic difficulty instead of professional program GPA because curricula, grading scales, and academic standards may vary from program to program. We believe that categorical ratings of academic difficulty reflect the range of relevant student outcomes. Other authors10,28,29 have used similar approaches.
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Data Analysis
Prior to analysis, uGPA was transformed by multiplying by 10, which we believe allows for a clearer interpretation of the odds ratios produced by the logistic regression. Instead of describing a change in odds for every 1.0 change in uGPA (say from a 2.0 to a 3.0), the transformed variable produces an odds ratio based on an uGPA change of 0.1. Similarly, GRE scores were transformed by dividing by 10. The verbal and quantitative portions of the GRE are scored in 10-point increments.31 The transformation allows for interpretation of the odds ratios based on these 10-point increments. Data screening procedures included assessment of missing data, ratio of cases to variables, and multicollinearity.26,32
Between-program analysis.
Logistic regression procedures were used for the entire sample. Logistic regression, for our study, was useful for determining whether independent variables (eg, uGPA or GRE scores) predicted the dichotomous dependent variable of academic difficulty. The dependent variable was dichotomized into students who encountered academic difficulty (ie, academic problems, dismissal, or academic withdrawal; see Tab. 2) and those who did not (ie, graduate, nonacademic delay, or nonacademic withdrawal; see Tab. 2). We dichotomized academic difficulty because there were very few subjects in some categories, notably students who were dismissed (n=51) and students who withdrew for academic reasons (n=21).
Advice on the sample size required for logistic regression is scarce.33,34 However, Norman and Streiner33 recommended having 10 times as many subjects as independent variables. This is consistent with Tabachnick and Fidell,26 who recommended having at least 5 subjects per cell. Our study was designed to meet or exceed these recommendations. Prior to logistic regression analysis, cross-tabulations of all combinations of nominal independent variables were performed. To avoid potential errors due to small cell sizes,26 ethnicity was recoded from 7 to 5 levels (black/African American, Hispanic, white/non-Hispanic, Asian/Pacific Islander, and "other"; "white/non-hispanic" was used as the referent category). Because we used program as a control variable, the other program-level covariables (ie, institutional Carnegie classification as listed in the directory of accredited programs24 and geographic region) resulted in cells with no data; thus, they could not be used in the main logistic regression analysis.
We used hierarchical logistic regression because we wanted to control for certain variables before other variables were entered into the model. Hierarchical regression requires entry of variables into the regression model in a prespecified order based on theoretical or evidence-based grounds.35
Specifically, we were interested in the influence of GPA and GRE scores after controlling for potential confounding variables. First, we wanted to control for the effects of the different years in the data set, as well as the different programs and degree levels, so we entered these variables into the model.36 Given that programs vary in the methods used to train students, we suspected that there was variation in the relationship between academic difficulty and GPA and GRE scores across programs, degree levels, and years. These variables are all "group-level" variables. Next, we entered variables measured at the level of the individual—student age, sex, and race or ethnicity. Studies in physical therapy9,16,17 and other fields22,37,38 indicate that prediction of academic performance may be influenced by these demographic factors. Lastly, we entered uGPA, qGRE, and vGRE into the model. We entered these variables as a final step because we wanted to control for the previously mentioned group-level and individual-level variables before assessing the effect of uGPA and GRE scores.
The –2 Log-Likelihood test (P<.05) was used to evaluate whether the final model represented improvement over the constant-only model.34 The Hosmer and Lemeshow test (P>.05) was examined to evaluate how well the model fit the data.26,34,39 Wald statistics and adjusted odds ratios were examined to identify the variables that contributed significantly to the prediction model.34
To provide an interpretation of the ability of uGPA and GRE to predict academic difficulty after adjusting for potential confounding variables, we used receiver operating characteristic (ROC) curves. Receiver operating characteristic curves provide an indication of how well a variable discriminates between students who encountered academic difficulty and students who did not.40 For example, if one wanted to know whether a uGPA of less than 3.0 placed a student at increased risk for academic difficulty, a ROC curve could be used to determine whether this cut-point was important for estimating risk of academic difficulty. For a more thorough description of ROC curve analysis, see Deyo and Centor.41 Receiver operating characteristic curves were plotted for those continuous variables (ie, uGPA, vGRE, qGRE, and age) that were identified as significant predictors of academic difficulty.
We used 2 strategies to develop cut-point thresholds for these variables. First, we divided uGPA, vGRE, qGRE, and age into tertiles, and then we tested the previously described model with the variables coded as tertile scores. We identified 2 cut-points for each variable because we wanted to examine the predictability for reasonably small ranges of scores for each variable (eg, uGPA of 3.0 or less versus a uGPA of 3.01 to 3.5 versus a uGPA of 3.51 or higher). If the tertile method did not result in significant differences among the 3 score ranges, the ROC curve was used to identify a single cut-point threshold that best discriminated between students who encountered difficulty and those who did not.
A final logistic regression model was fit using these discrete variables. This final model was examined for goodness of fit; main effects as well as all 2-way interactions were tested for significance. The variables contributing significantly to the final model were used to develop a prediction rule for academic difficulty.
Clinical prediction rules use clinical data to assist clinicians in making a diagnosis or predicting an outcome.42,43 We use the term "prediction rule" rather than the term "clinical prediction rule" because, in our case, the prediction rule was designed to assist physical therapist academicians in the interpretation of applicant information.43 We used the ß coefficients from logistic regression procedures to weight the importance of the variables predicting academic difficulty, an approach commonly used to develop clinical prediction rules.44–46 Finally, we tested the prediction rule using the data from students from all programs.
Within-program analysis.
To further clarify how prediction of academic difficulty may vary by program, the analyses performed on the entire data set were repeated with data from each program. The same variables were used as in the between-program analysis, with a few exceptions. First, controlling for program was not necessary. Second, some programs had few or no students from ethnic groups other than white/non-Hispanic. In these cases, ethnicity was collapsed into fewer categories or eliminated from the analysis, as needed. Similarly, some programs graduated students with only one type of degree (MPT or DPT) during the study period, so the degree variable was eliminated for these programs. Data were analyzed using the Statistical Package for the Social Sciences (SPSS), version 12.0.*
| Results |
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The geographic distribution of programs in the sample was similar to that of the 95 programs eligible for the study (Supplemental Fig. 1). In 2004, 53% of accredited programs offered the DPT degree. In the study sample, 45% of the programs conferred DPT degrees in 2004 (Supplemental Fig. 2). The sample included a slightly higher proportion of private institutions than did the populations of both accredited and eligible programs (Supplemental Fig. 3). The proportion of programs in the sample housed at doctoral, master's, and specialized medical or health sciences institutions was very similar to the population of accredited programs (Supplemental Fig. 4).
The median age at admission of students enrolled in the sample programs was 23 years (range=18–52), which is similar to the median age reported by Goldstein and Gandy.47 Women represented 65.9% of the sample. For the academic years 1999–2000 and 2001–2002, the sample had a slightly smaller proportion of women than did the population of all accredited programs (Tab. 4). The majority of students in the sample were white and not of Hispanic descent (Tab. 4). The sample had smaller proportions of African-American and Hispanic students than the population of students enrolled in all accredited programs.
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The logistic regression output and prediction rules for 3 selected programs are presented in Supplemental Tables 1, 2, and 3. These 3 programs were chosen to illustrate the variation in prediction across the entire sample of participating programs.
| Discussion |
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Day17 found that uGPA, scores on the analytic GRE, and ethnicity accounted for 20% of the variance of professional program GPA for a sample of physical therapist students. Thieman et al16 found that prerequisite course GPA, GRE scores, and age accounted for 37% of the variance in professional program GPA. Work by Day17 and Thieman et al16 support the notion that previous academic performance and GRE scores are related to performance in physical therapist professional education. The major difference is that these studies were conducted on relatively small samples. Our study appears to be the first study to suggest that GPA and GRE scores provide reasonably stable population-based estimates of risk. Substantial program-to-program variation exists, however, which suggests to us that individual programs should generate their own risk estimates.
We developed a prediction to identify students who are at risk for academic difficulty. In this sample, nearly 40% (95% CI=32.3–45.1) of students with high prediction rule scores (scores of 2 or higher) encountered academic difficulty. Using this rule would allow early identification of students at risk, enabling programs and students to develop strategies to maximize the chances for student success. Academic programs interested in using this prediction rule should recognize that "program" was an important predictor in our study. The most accurate prediction rule for an individual program would be developed using data collected from that program. In lieu of a program developing its own prediction rule, we suggest the prediction rule reported in Table 10 as a reasonable, though less accurate, alternative.
Influence of Covariates on Academic Performance
Program was an important covariate in the prediction of academic difficulty. There is no prescribed curricular format for physical therapist education programs,50 so curricular variation may affect the prevalence of academic difficulty at individual programs. Programs also are responsible for setting their own policies for grading and academic performance requirements, which in turn may affect the number of students encountering academic difficulty as defined in this study. Despite these differences in curricular design and policy, vGRE, qGRE, and uGPA still were predictive of academic difficulty, which suggests that these scores are reasonably powerful predictors of academic difficulty across a broad array of program types in different geographic regions.
Because we could not control for geographic region and Carnegie classification in our main analyses, these variables were tested in separate post hoc analyses. Each of these 2 variables was entered into a single logistic regression model. The Northeast region and doctoral institutions served as the referent categories, respectively. Geographic region was associated with academic difficulty (
2=32.81, P<.001). Students in the Midwest had reduced odds of academic difficulty compared with students in the Northeast (odds ratio=0.459, 95% CI=0.317–0.665). Carnegie classification also was associated with academic difficulty (
2=7.38, P=.025). Students enrolled in programs at institutions classified as master's institutions had 1.3 times the odds of academic difficulty compared with students at doctoral institutions (95% CI=1.301–1.733). Students enrolled in medical or specialized health sciences institutions had 1.4 times to odds of academic difficulty compared with students at doctoral institutions (95% CI=1.076–1.952).
Student-level characteristics that were significant in the between-program logistic regression model were age and ethnicity. Age contributed to the prediction of academic difficulty (P<.001) in the first logistic regression model developed for all 3,582 students in the sample. The regression model created using dichotomized variables suggests that prediction of academic difficulty is age-dependent. A uGPA of 3.50 or higher was protective against academic difficulty; however, when interacting with age
27 years, this relationship was reversed. Students with this combination of variables had more than twice the odds of difficulty (odds ratio=2.314, 95% CI=1.097–4.881) as compared with younger students with the same GPA. These findings suggest that older students may have other challenges beyond undergraduate academic preparation that affect their performance in graduate-level physical therapist education. For instance, older students may have experienced a longer gap between undergraduate and professional education than their younger counterparts. They also may have different work or family commitments. Programs should be aware that student age is a significant predictor of academic difficulty even after adjusting for program and other student-level variables.
Other studies support the notion that age may affect performance in physical therapist education. Both the studies by Dockter6 and Thieman et al16 showed that age contributed to the prediction of professional program GPA in linear regression models. Hayes et al9 suggested that traditional measures of intellectual ability, such as uGPA and standardized test scores, may not be the best predictors of academic performance for older, nontraditional physical therapist students. In a study of 107 students in a baccalaureate physical therapist program, they found that grades in a gross anatomy course and preprofessional GPA predicted professional program GPA for younger students, whereas grades in a gross anatomy course and interview scores predicted professional program GPA for older students.
Some authors1,2,51 have expressed concerns that GPA and test scores are not accurate predictors of academic performance for students from minority ethnic groups. Student ethnicity emerged as a significant predictor of academic difficulty. Interaction effects between race or ethnicity and the variables uGPA, vGRE, and qGRE were not detected, suggesting that the effects of race or ethnicity were independent of other variables in this study. However, fewer than 3% of the students in the sample were Hispanic or African American. Thus, the statistical power to detect significant interactions between ethnicity and the independent variables may have been limited.
The data collected do not allow inferences regarding why students in some ethnic groups had higher odds of academic difficulty. For example, the higher odds of academic difficulty for some racial or ethnic groups may be related to socioeconomic and educational factors that were not addressed by this study. Further research is needed regarding the relationships among race or ethnicity, quantitative admissions data, and academic difficulty to guide programs in the development and implementation of recruitment and retention strategies for minority students. Important disparities in the representation of some racial or ethnic minorities in physical therapy exist. For example, African Americans represent 12.3% of the US population,52 yet only 1.9% of physical therapist members of APTA are listed as African American.53 In our opinion, resolving these types of disparities should be priority issues for academic programs.
Within-Program Analysis
For students in 12 of the 20 programs, uGPA contributed to prediction of academic difficulty. Verbal GRE score was predictive of difficulty in 3 programs, and qGRE score was predictive in 4 programs. Variability in program-specific odds ratios, ROC curve areas, and prediction rules indicates that discrimination between students who had difficulty and students who did not varied widely within programs. These results suggest that program directors should analyze data from their own students to generate program-specific thresholds and rules for prediction of academic difficulty. If the number of students at an individual program is too small to conduct the analysis, we recommend using results from the between-program analysis because they represent the "typical student" in the study sample.
Implications for Academic Programs in Physical Therapy
In 2004, Oeffner54 suggested that uniform requirements for physical therapist education programs should be developed. That same year, the Education Section of APTA developed a list of recommended admissions requirements for physical therapist education programs.55 These recommendations are broad in that they do not specify minimum GPA requirements, nor do they recommend any single standardized test. The Education Section's recommendations55 state that programs should consider a variety of intellectual, nonintellectual, and demographic factors when selecting students. The current study provides strong evidence to support the use of uGPA, vGRE, and qGRE as part of students overall admissions portfolio.
Many physical therapist education programs use the GRE in their admissions processes, although it is a general test and is not designed specifically for physical therapist students. An admissions test with content more relevant to physical therapy may improve the ability of the test to predict which students might have difficulty completing physical therapist education. Until a better alternative is identified, this study suggests that vGRE and qGRE scores should be used by academic programs to assist in making admissions and academic training decisions. We are not suggesting that the prediction rule be used, in isolation, to decide which students should or should not be offered admission to an academic program. There was too much unexplained variance in our prediction rule to recommend that it be used for this purpose. Rather, we contend that if programs are aware of a prospective student's modest increase or decrease in risk for academic difficulty, the program will be in a position to better plan that student's educational experience and increase the likelihood of success. All programs need to balance admissions decisions with policies, program and university missions, and societal needs. It is our contention that program missions and societal needs should be given high priority. We believe that the clinical prediction rule we describe can assist programs in better utilizing their educational resources to optimize the chances of success for all students while complying with institutional missions and societal needs.
Limitations
Despite controlling for program, cohort, degree level, and student demographic characteristics, the logistic regression models accounted for only 24% of the variance in odds of academic difficulty. We suspect that a variety of variables that we did not measure explain the remaining variance. First, the analyses did not control for the rigor of students undergraduate education. Studies of medical students38,56,57 have used indexes for this variable to adjust uGPA in their analyses. In addition, programs may have calculated preadmission GPAs in different ways, especially when applicants attended more than one undergraduate institution. Applicants may have taken the GRE more than once. We asked programs to report the scores they used in making their admissions decisions. Consistency in recording these data may have improved the strength of our predictive models.
Our study did not attempt to control for students socioeconomic status or psychosocial factors. Studies of students in other fields, such as medicine, suggest that these variables may contribute to academic performance. Fadem and colleagues37 found that parental income was related to performance of 192 medical students on both the MCAT and medical licensure examinations. The authors suggested that students from poorer families may have had fewer educational advantages than their wealthier counterparts. Furthermore, students from families with fewer financial resources may be more likely to work during medical school, which may affect learning and performance.37 In a study of 175 medical students, Hojat and colleagues58 demonstrated that measures of psychosocial factors, such as anxiety, depression, locus of control, stress, and self-esteem, improved the prediction of medical school grades over the use of preadmission GPA and MCAT scores. More research of physical therapist students is needed to clarify which socioeconomic and psychosocial factors potentially contribute to students performance and the occurrence of academic difficulty.
Other study limitations are related to potential sampling and historical biases. Because it is not possible to determine the specific demographic makeup of the student bodies at the 95 eligible programs, we compared the sample to the population of all students at all accredited programs. Because only larger programs that use the GRE were eligible for the study, these comparisons may not be valid.
With respect to historical bias, it is possible that the results were affected by the profession's rapid transition to the DPT. However, degree level (MPT versus DPT) did not contribute to the prediction of academic difficulty. Concurrently with the transition to the DPT, the number of students applying to physical therapist education programs declined in the early part of the decade.23 The mean uGPA of students admitted to physical therapist education programs declined slightly over the years of this study. Therefore, changes in the applicant pool may also have introduced bias. This was addressed statistically by controlling for cohort in the between-program analyses and, when possible, in the within-program analyses as well.
Recommendations for Future Research
Because large proportions of the variance in odds of academic difficulty were unexplained in the results of this study, future research should consider other program and student characteristics. A valid method for adjusting for academic rigor would be an important contribution to the program level analysis. In addition, qualitative research methods may help identify additional variables that contribute to prediction of academic difficulty. This approach also may help clarify reasons why students who are older or from minority ethnic groups are at higher risk for academic difficulty than younger students.
The study sample was drawn from a population of 95 programs that were selected for eligibility based on their size and their use of the GRE. These eligible programs represent only half of the accredited physical therapist education programs in the United States. Future research should investigate whether previous grades or other measures of intellectual ability predict academic difficulty for students in programs with smaller class sizes or that use standardized tests other than the GRE.
| Conclusion |
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| Footnotes |
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This work was completed in partial fulfillment of requirements for Dr Utzman's PhD degree in Health Related Sciences, Medical College of Virginia Campus, Virginia Commonwealth University.
The Institutional Review Board of Virginia Commonwealth University approved this study.
This research was presented at the annual meeting of the Federation of State Boards of Physical Therapy; September 10, 2006; Portland, Ore.
This work was funded, in part, by the Federation of State Boards of Physical Therapy.
* SPSS Inc, 233 S Wacker Drive, Chicago, IL 60606. ![]()
| References |
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