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Research ArticleArticles
Open Access

The Effects of the Kalamazoo Promise Scholarship on College Enrollment and Completion

Timothy J. Bartik, Brad Hershbein and Marta Lachowska
Journal of Human Resources, January 2021, 56 (1) 269-310; DOI: https://doi.org/10.3368/jhr.56.1.0416-7824R4
Timothy J. Bartik
Senior Economist at the W.E. Upjohn Institute for Employment Research.
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Brad Hershbein
Senior Economist at the W.E. Upjohn Institute for Employment Research.
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  • For correspondence: hershbein{at}upjohn.org
Marta Lachowska
Senior Economist at the W.E. Upjohn Institute for Employment Research.
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Article Figures & Data

Figures

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  • Generosity of the Kalamazoo Promise, by Grade of Initial Enrollment Source: Eligibility rules from the Kalamazoo Promise.
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    Figure 1 Generosity of the Kalamazoo Promise, by Grade of Initial Enrollment

    Source: Eligibility rules from the Kalamazoo Promise.

  • Fitted Probabilities of Four-Year College Attendance within Six Months Notes: The plotted values represent fitted probabilities of attending a four-year college within six months of high school graduation, by class year and Promise eligibility, allowing Promise effects to vary by year. The vertical black line indicates when the Promise began. The figure is based on IVestimates. See the Methodology section for details, Appendix Table A.2 for the IV point estimates, and Appendix Table A.6 for the first-stage estimates. Point-wise 95 percent confidence intervals are shown for the difference between eligible and ineligibles.
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    Figure 2 Fitted Probabilities of Four-Year College Attendance within Six Months

    Notes: The plotted values represent fitted probabilities of attending a four-year college within six months of high school graduation, by class year and Promise eligibility, allowing Promise effects to vary by year. The vertical black line indicates when the Promise began. The figure is based on IVestimates. See the Methodology section for details, Appendix Table A.2 for the IV point estimates, and Appendix Table A.6 for the first-stage estimates. Point-wise 95 percent confidence intervals are shown for the difference between eligible and ineligibles.

  • Fitted Probabilities of Any Credential Attainment within Six Years Notes: The plotted values represent fitted probabilities of attaining any credentials within six years of high school graduation, by class year and Promise eligibility, allowing the Promise effects to vary by year. See the notes for Figure 2 and Table 6. Point-wise 95 percent confidence intervals are shown for the difference between eligible and ineligibles.
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    Figure 3 Fitted Probabilities of Any Credential Attainment within Six Years

    Notes: The plotted values represent fitted probabilities of attaining any credentials within six years of high school graduation, by class year and Promise eligibility, allowing the Promise effects to vary by year. See the notes for Figure 2 and Table 6. Point-wise 95 percent confidence intervals are shown for the difference between eligible and ineligibles.

  • Application Form for the Kalamazoo Promise
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    Figure A.1

    Application Form for the Kalamazoo Promise

Tables

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    Table 1

    High School Graduates in KPS and Promise (Pseudo-) Eligibility

    YearGraduatesEligibleIneligible
    20035250 (442)525 (83)
    20045510 (448)551 (103)
    20053920 (345)392 (47)
    2006 (first Promise cohort)44936881
    200750443569
    200848441569
    200946639076
    201049843167
    201150743374
    201252646165
    201351347241
    Total5,4154,640775
    • Source: Authors’ calculations from KPS and Kalamazoo Promise administrative data.

    • Notes: Numbers represent authors’ calculations of the number of graduates receiving high school diplomas (excluding alternative education programs) from Kalamazoo Public Schools and eligibility for the Promise. We determine eligibility (a tuition subsidy of at least 65 percent) based on residence and continuous enrollment from KPS records. See text for eligibility assignment rules. For 2003-2005, the numbers in parentheses indicate the number of students who would (would not) have fulfilled eligibility requirements, even though the Promise did not yet exist. The lower graduate count in 2005 is in large part due to the alternative high school being closed that year.

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    Table 2

    Descriptive Statistics of Sample

    BeforeAfter
    VariableAllEligiblesIneligiblesEligiblesIneligiblesDDDD (SE)
    Demographics
    Male0.4710.4700.4420.4800.4320.0206(0.0423)
    Black0.4110.3460.4810.4030.581−0.0436(0.0421)
    Asian0.0260.0170.0560.0260.0310.0339(0.0174)
    Hispanic0.0700.0490.0860.0740.0830.0277(0.0231)
    White0.4850.5840.3690.4870.295−0.0233(0.0407)
    Subsidized lunch0.5070.3380.5280.5340.7100.0130(0.0413)
    High school 10.5130.4910.3990.5300.507−0.0685(0.0420)
    High school 20.4030.4460.3730.4010.3250.0037(0.0410)
    N5,4151,2352333,405542
    • Source: Authors’ calculations from KPS and Kalamazoo Promise administrative data.

    • Notes: Authors’ calculations of characteristics of KPS graduates for classes of 2003–2013 (excluding alternative education). Eligibility calculated based on Promise rules. “Before” represents the cohorts 2003–2005; “After” represents cohorts 2006 through 2013. DD represents the difference between eligibles after and before the Promise and ineligibles after and before the Promise. Standard errors robust to heteroskedasticity are in parentheses.

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    Table 3

    Promise Effects on Enrollment

    MethodOLSRFIV
    (1)(2)(3)
    Panel A: Enrollment within Six Months
    (Mean of DV | After =0, Elig. =1) =0.612
    After × Eligible0.083**0.0490.071
    [0.042][0.039][0.057]
    R20.1500.1500.150
    p-value of difference between (1) and (3)0.853
    Panel B: Enrollment within 12 Months
    (Mean of DV | After =0, Elig. =1) =0.673
    After × Eligible0.0590.0160.023
    [0.041][0.038][0.055]
    R20.1640.1620.162
    p-value of difference between (1) and (3)0.533
    Panel C: Enrollment at Four-Year within Six Months
    (Mean of DV | After =0, Elig. =1) =0.402
    After × Eligible0.094**0.0490.071
    [0.038][0.037][0.053]
    R20.1840.1820.182
    p-value of difference between (1) and (3)0.745
    Panel D: Enrollment at Four-Year within 12 Months
    (Mean of DV | After = 0, Elig. =1) = 0.411
    After × Eligible0.089**0.0420.060
    [0.039][0.037][0.054]
    R20.1870.1850.185
    p-value of difference between (1) and (3)0.695
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. Outcome timing is since high school graduation. Regressions include dummies for after the Promise, individual (pseudo-)eligibility, sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation- by-graduation year. In Column 1, prior to 2006, eligibility is based on Promise rules had the Promise been in effect (rules-based eligibility). After 2006, eligibility is taken from administrative records from the Promise (observed eligibility). Column 2 always uses rules-based eligibility. Column 3 rescales the Column 2 coefficient by the first-stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above) and is equal to 0.694; see Appendix Table A.5, Column 1. The first-stage F-test statistic is 1,266. The mean of the dependent variable is for eligible population in the pre-Promise period. The p-values are from a Hausman test of equality of the OLS and IV estimate. Sample size is 5,415.

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    Table 4

    Promise Effects on Enrollment by Type of School

    MethodOLSRFIV
    (1)(2)(3)
    Panel A: Enroll at a Promise School within Six Months
    (Mean of DV | After =0, Elig. =1) = 0.480
    After × Eligible0.178***0.134***0.193***
    [0.042][0.040][0.058]
    R20.1380.1360.136
    p-value of difference between (1) and (3)0.833
    Panel B: Enroll at a Four-Year Promise School within Six Months
    (Mean of DV | After =0, Elig. =1) =0.281
    After × Eligible0.168***0.115***0.166***
    [0.035][0.034][0.049]
    R20.1610.1580.158
    p-value of difference between (1) and (3)0.983
    Panel C: Enroll at a Four-Year Non-Promise School within Six Months
    (Mean of DV | After =0, Elig. =1) = 0.132
    After × Eligible−0.095***−0.084***−0.122***
    [0.023][0.021][0.030]
    R20.0420.0420.042
    p-value of difference between (1) and (3)0.424
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. Outcome timing is since high school graduation. Regressions include dummies for after Promise, individual (pseudo-) eligibility, sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year. In Column 1, prior to 2006, eligibility is based on Promise rules had the Promise been in effect at the time (rules-based eligibility). After 2006, eligibility is taken from Promise administrative records (observed eligibility). Column 2 always uses rules-based eligibility. Column 3 rescales Column 2 by the first-stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above) and is equal to 0.694; see Appendix Table A.6, Column 1. The first-stage F-test statistic is 1,266. The mean of the dependent variable is for eligible population in the pre-Promise period. The p-values are from a Hausman test of equality of the OLS and IV estimate. Sample size is 5,415.

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    Table 5

    Promise Effects on College First Attended

    KVCCWMUMSUUMFlagshipsK
    Panel A: Enroll at a Given School within Six Months
    After × Eligible (OLS)0.0110.072**0.056***0.0100.066***0.003
    [0.038][0.029][0.015][0.012][0.019][0.010]
    After × Eligible (RF)0.0220.049*0.046***0.0030.049***0.002
    [0.036][0.028][0.015][0.011][0.018][0.009]
    After × Eligible (IV)0.0320.071*0.066***0.0040.071***0.003
    [0.052][0.041][0.021][0.016][0.027][0.014]
    Mean of DV0.1850.1690.0390.0350.0740.028
    p-value of difference between OLS and IV0.7700.9860.8160.8780.9270.989
    Panel B: Enroll at a Given School within 12 Months
    After × Eligible (OLS)−0.0130.078**0.056***0.0100.066***0.004
    [0.040][0.030][0.015][0.012][0.019][0.010]
    After × Eligible (RF)−0.0060.054*0.046***0.0030.049***0.000
    [0.038][0.029][0.015][0.011][0.018][0.010]
    After × Eligible (IV)−0.0080.078*0.067***0.0040.071***0.001
    [0.055][0.042][0.021][0.016][0.027][0.014]
    Mean of DV0.2330.1720.0390.0350.0740.028
    p-value of difference between OLS and IV0.9410.9990.8140.8780.9260.893
    • ↵Notes: Each cell represents a point estimate and the standard error from a separate regression. Standard errors robust to heteroskedasticity are in brackets, *p < 0.10, **p < 0.05, ***p < 0.01. In row labeled OLS, prior to 2006, eligibility is based on Promise rules had the Promise been in effect at the time (rules-based eligibility). After 2006, eligibility is taken from Promise administrative records (observed eligibility). Row labeled RF always uses rules-based eligibility. Row labeled IV rescales the RF estimate by the first-stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above) and is equal to 0.694; see Appendix Table A.6, Column 1. The first-stage F-test statistic is 1,266. The mean of the dependent variable is for eligible population in the pre-Promise period. The p-values are from a Hausman test of equality of the OLS and IVestimate. Sample size is 5,415. KVCC stands for Kalamazoo Valley Community College, WMU stands for Western Michigan University, MSU stands for Michigan State University, UM stands for University of Michigan–Ann Arbor, Flagships stands for either MSU or UM, and K stands for Kalamazoo College.

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    Table 7

    Promise Effects on Enrollment and Completion Using Between-District Analysis

    Dependent VariableEnrollment within Six Months at:Credential at Six Years:
    VariablesFour-Year SchoolFour-Year Promise SchoolFour-Year Non-Promise SchoolFlagship SchoolAny CredentialBA/BS
    (1)(2)(3)(4)(5)(6)
    After × KPS0.071**0.110**−0.039*0.085**0.0610.039
    Robust standard error[0.024][0.019][0.013][0.026][0.044][0.040]
    Permutation inference p-value0.0320.0320.0650.0320.2580.258
    Observations332332332332181181
    Adjusted R-squared0.8340.8300.7210.7430.9060.897
    Mean DV0.2590.1810.0780.0410.2380.179
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets, *p < 0.10, **p < 0.05, ***p < 0.01. p-value is obtained using a placebo-regression permutation inference described in the text. Regressions include district-by-year proportions of students to teachers, students eligible for subsidized lunch, African-American students, and Hispanic students. For each observable, we also include the proportions of missings. The regressions control for district fixed effects, year-of-graduation time effects, and districtspecific linear time trends. Observations are weighted by the number of district graduates. The mean of the dependent variable is for the control districts in the pre-Promise period. The control districts consist of the Michigan Middle Cities Education Association (MCEA) districts described in the text.

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    Table 8

    Promise IV Effects by Group

    Six-Month Attendance at Four-YearSix-Year BA/BS AttainmentSix-Year Credential Attainment
    Income groupsNon-low incomeLow-incomeNon-low incomeLow-incomeNon-low incomeLow-income
    After × Elig.0.162**0.0700.1500.0550.174*0.106
    [0.080][0.069][0.092][0.059][0.094][0.078]
    N2,6662,7441,6411,2591,6411,259
    F-statistic619.5725.3270.7306.8270.7306.8
    First-stage coeff.0.7960.6480.7840.6640.7840.664
    p-value of group diff.0.3790.3810.574
    Mean DV0.5090.1960.3990.1080.4500.187
    RaceWhiteNonwhiteWhiteNonwhiteWhiteNonwhite
    After ×Elig.0.0990.0690.0430.0960.0030.193**
    [0.083][0.067][0.085][0.065][0.095][0.078]
    N2,6242,7911,5451,3601,5451,360
    F-statistic579.7745.3268.2302.5268.2302.5
    First-stage coeff.0.7790.6550.7900.6610.7900.661
    p-value of group diff.0.7760.6200.119
    Mean DV0.5060.2570.3980.1610.4490.235
    GenderMaleFemaleMaleFemaleMaleFemale
    After × Elig.0.0340.1150.0410.132*0.0230.224**
    [0.079][0.072][0.070][0.077][0.078][0.089]
    N2,5512,8641,3881,5171,3881,517
    F-statistic555.8707.2243.7310.9243.7310.9
    First-stage coeff.0.6990.6900.7110.7050.7110.705
    p-value of group diff.0.4380.3760.087
    Mean DV0.4000.4050.2950.3040.3640.357
    • ↵Notes: Standard errors robust to heteroskedasticity are inbrackets. *p < 0.10, **p < 0.05, ***p < 0.01. Timing is since high school graduation. All regressions include dummies for after the Promise’s introduction, individual (pseudo-)eligibility, and graduation year. Other controls are sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation- by-graduation year (except when subgroup is restricted on one of these dimensions). The estimates are calculated using rules-based eligibility with the coefficient of interest rescaled by the first-stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same controls as listed above). The F-test statistic is from the first stage. The income groupings pertain to whether the student is eligible for free/reduced price lunch or not. The race groups are white non-Hispanic versus other groups. The mean of the dependent variable for each group is calculated over the eligible population in the pre-Promise period.

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    Table 6

    Promise Effects on Degree Attainment

    MethodOLSRFIV
    (1)(2)(3)
    Panel A: Any Credential at Four Years
    (Mean of DV | After =0, Elig. =1) =0.186
    After × Eligible0.008−0.028−0.041
    [0.031][0.030][0.043]
    R20.0870.0860.086
    p-value of difference between (1) and (3)0.406
    Panel B: Any Credential at Six Years
    (Mean of DV | After =0, Elig. =1) =0.360
    After ×Eligible0.102**0.082*0.116*
    [0.046][0.043][0.060]
    R20.1460.1460.146
    p-value of difference between (1) and (3)0.824
    Panel C: BA/BS at Four Years
    (Mean of DV | After =0, Elig. =1) = 0.143
    After ×Eligible0.001−0.020−0.029
    [0.023][0.022][0.032]
    R20.1160.1150.115
    p-value of difference between (1) and (3)0.576
    Panel D: BA/BS at Six Years
    (Mean of DV | After =0, Elig. =1) =0.300
    After ×Eligible0.074*0.0560.079
    [0.040][0.037][0.053]
    R20.1790.1780.178
    p-value of difference between (1) and (3)0.932
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. Outcome timing is since high school graduation. Regressions include dummies for after the Promise, individual (pseudo-)eligibility, sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year. The mean of the dependent variable is for eligibles in the pre-Promise period. In Column 1, prior to 2006, eligibility is based on Promise rules had the Promise been in effect at the time (rules-based eligibility). After 2006, eligibility is from Promise administrative records (observed eligibility). Column 2 always uses rules-based eligibility. Column 3 rescales Column 2 by the first-stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above). The first-stage coefficient is 0.685 at the four-year horizon and 0.707 at the six-year horizon; see Appendix Table A.6, Columns 4 and 5. The first-stage F-test statistic is 819 at four years and 555 at six years. The p-values are from a Hausman test of equality of the OLS and IV estimate. Sample sizes are 3,869 at four years and 2,905 at six years.

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    Table 9

    Between-District Estimates of Promise Effects by Group

    Six-Month Enrollment at Four-YearSix-Year BA/BS Attainment
    Income groupsNon-low incomeLow-incomeNon-low incomeLow-income
    After × KPS0.082*0.0880.0450.036
    [0.034][0.049][0.047][0.065]
    Permutation p-value0.0320.1290.3230.387
    N327330177179
    Mean DV0.2990.1960.2130.105
    RaceWhiteNonwhiteWhiteNonwhite
    After × KPS0.129*0.0230.082−0.028
    [0.0516][0.039][0.040][0.095]
    Permutation p-value0.0970.3870.1610.677
    N317332174181
    Mean DV0.2740.2420.2030.140
    GenderMaleFemaleMaleFemale
    After × KPS0.090**0.056*−0.0140.090
    [0.024][0.035][0.046][0.039]
    Permutation p-value0.0320.0650.6770.161
    N332332181181
    Mean DV0.2340.2830.1550.201
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. p-value is obtained using a placebo-regression permutation inference described in the text. Regressions include district-by-year proportions of students to teachers, students eligible for subsidized lunch, African-American students, and Hispanic students. For each observable, we also include the proportions of missings. The regressions control for district fixed effects, year-of-graduation time effects, and district-specific linear time trends. Observations are weighted by the number of district graduates. The mean of the dependent variable is for the control districts in the pre-Promise period. The control districts consist of the Michigan Middle Cities Education Association (MCEA) districts described in the text.

    • View popup
    Table A.1

    Promise Effect on Enrollment at Colleges Categorized by 2004 Barron’s Selectivity Categories

    Dependent VariableMost Selective≥Highly Selective≥Very Selective≥Selective
    After × Eligible (OLS)0.0030.0090.061**0.139***
    [0.008][0.017][0.024][0.039]
    After × Eligible (RF)0.004−0.0000.039*0.086**
    [0.008][0.017][0.024][0.037]
    After × Eligible (IV)0.006−0.0000.057*0.123**
    [0.011][0.024][0.034][0.054]
    Observations5,4155,4155,4155,415
    Mean of DV0.0080.0810.1480.407
    p-value of difference between OLS and IV0.8610.8350.9330.827
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. The category of college is based on the first college attended within the first 12 months after high school graduation. “Most selective” denotes the most competitive colleges, none of which are Promise-eligible. “Highly selective” includes University of Michigan–Ann Arbor and Kalamazoo College, “very selective” includes Michigan State University, and “selective” includes Western Michigan University. See the note to Table 3.

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    Table A.2

    Promise IV Effects by Year for Selected Outcomes

    Dependent VariableEnrollment at Four-Year within Six MonthsCredits Attempted at Two YearsCredits Attempted at Four YearsAny Credential at Six Years
    (1)(2)(3)(4)
    Regressor
    2003 × Eligible0.149*9.25***20.08***0.159**
    [0.077][3.44][6.48][0.075]
    2004 × Eligible0.126**4.75*10.18**0.070
    [0.059][2.53][4.79][0.061]
    2005 × Eligible0.0997.44*12.87−0.071
    [0.103][4.28][8.91][0.099]
    2006 × Eligible0.1278.79**18.27***0.233***
    [0.081][3.45][6.49][0.070]
    2007 × Eligible0.190***11.63***24.15***0.128*
    [0.072][3.19][5.91][0.072]
    2008 × Eligible0.283***7.07**15.81**0.201***
    [0.081][3.28][6.40][0.076]
    2009 × Eligible0.0643.808.15
    [0.086][3.40][6.93]
    2010 × Eligible0.361***10.60***24.24***
    [0.072][3.26][5.85]
    2011 × Eligible0.180**10.60***
    [0.080][3.06]
    2012 × Eligible0.223**6.04*
    [0.089][3.57]
    2013 × Eligible0.188*
    [0.112]
    First-stage coeff.0.6940.6850.6900.707
    F-statistic12668191153555
    Observations5,4154,9023,8692,905
    • ↵Notes: The coefficient estimates represent the difference between eligible and ineligibles for the indicated year. Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. Outcome timing is since high school graduation. Regressions include dummies for after the Promise, individual (pseudo-)eligibility, sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year. The regressions use rules-based eligibility with the coefficient of interest rescaled by the first- stage coefficient. This first-stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above); see Table A.5. The F-test statistic is from the first stage.

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    Table A.3

    IV Promise Effect with Clustered Standard Errors

    EnrollmentCredits Attempted atCredentials
    Dependent VariableWithin Six MonthsWithin 12 monthsAt Four-Year within Six MonthsAt Four-Year within 12 MonthsTwo YearsThree YearsFour YearsAny at Four YearsAny at Six YearsBA/BS at Four YearsBA/BS at Six Years
    After × Elig. (IV)0.071*0.0230.0710.0601.411.963.63−0.0410.116*−0.0290.079
    (0.041)(0.036)(0.052)(0.052)(1.83)(3.03)(4.41)(0.048)(0.066)(0.034)(0.059)
    [0.057][0.055][0.053][0.054][2.27][3.41][4.63][0.043][0.060][0.032][0.053]
    Number of clusters3333333330272424182418
    • ↵Notes: The table compares the baseline standard errors estimates (in parentheses) to standard errors clustered by high school × cohort (in brackets). All regressions include dummies for after the Promise’s introduction, individual (pseudo-)eligibility, and graduation year. Other controls are sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year.

    • View popup
    Table A.4

    IV Promise Effects without Controlling for Demographic Characteristics

    EnrollmentCredits attempted atCredentials
    Dependent VariableWithin Six MonthsWithin 12 MonthsAt Four-Year within Six MonthsAt Four-Year within 12 MonthsTwo YearsThree YearsFour YearsAny at Four YearsAny at Six YearsBA/BS at Four YearsBA/BS at Six Years
    Panel A: Baseline IV Results with Demographic Controls
    After × Elig. (IV)0.0710.0230.0710.0601.4081.9613.63−0.0410.116*−0.0290.079
    [0.057][0.055][0.053][0.054][2.265][3.414][4.627][0.043][0.060][0.032][0.053]
    First-stage coeff.0.6940.6940.6940.6940.6900.6790.6850.6850.7070.6850.707
    Panel B: IV Results with No Demographic Controls
    After × Elig. (IV)−0.014−0.0850.0570.046−0.640−0.2921.464−0.0380.124**−0.0230.090*
    [0.060][0.060][0.053][0.054][2.406][3.626][4.872][0.044][0.061][0.032][0.054]
    First-stage coeff.0.6830.6830.6830.6830.6790.6670.6710.6710.6940.6710.694
    Panel C: p-Value of Test of Difference between Coefficients in Panel A and Panel B
    p-value of difference0.0010.0000.5480.5520.0810.2140.3700.7860.8460.6960.734
    • Notes: The table compares the IV baseline estimates (Panel A) to IV estimates obtained without controlling for demographics (Panel B). Standard errors are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01 All regressions include dummies for after the Promise’s introduction, individual (pseudo-)eligibility, and graduation year.

    • View popup
    Table A.5

    Robustness to Excluding Late Entrants (Reduced-form Estimates)

    EnrollmentCredits Attempted atCredentials
    Dependent VariableWithin Six MonthsWithin 12 MonthsAt Four-Year within Six MonthsAt Four-Year within 12 MonthsTwo YearsThree YearsFour YearsAny at Four YearsAny at Six YearsBA/BS at Four YearsBA/BS at Six Years
    Panel A: Baseline
    After × Elig. (RF)0.0490.0160.0490.0420.9721.3322.486−0.0280.082*0.056
    [0.039][0.038][0.036][0.037][1.557][2.309][3.155][0.030][0.042]−0.020[0.022][0.037]
    Panel B: No Late Entrants
    After × Elig. (RF)0.0300.003−0.015−0.027−0.008−0.8940.021−0.0190.0500.035
    [0.052][0.049][0.048][0.048][2.056][2.967][3.907][0.036][0.047]−0.014[0.027][0.041]
    Panel C: p-Value of Test of Difference between Coefficients in Panel A and Panel B
    p-value of difference0.5780.6820.0450.0320.4540.2210.2690.6510.0580.7420.169
    • ↵Notes: The table compares the baseline estimates (Panel A) to estimates of samples restricted to students enrolled in KPS at the time of Promise announcement and to the classes of 2003–2008 (Panel B). (All ineligible students from the classes of 2009 or later either had interrupted KPS enrollment or entered the district after the Promise was announced.) Standard errors are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. All regressions include dummies for after the Promise’s introduction, individual (pseudo-)eligibility, and graduation year. Other controls are sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year.

    • View popup
    Table A.6

    Estimates from First-Stage IV Regressions

    Dependent VariableObserved Eligibility
    (1)(2)(3)(4)(5)
    Rules-based eligibility (IV)0.694***0.690***0.679***0.685***0.707***
    [0.019][0.020][0.022][0.024][0.030]
    Male−0.002−0.003−0.003−0.004−0.003
    [0.006][0.006][0.007][0.007][0.010]
    Black0.040**0.039**0.0280.0360.037
    [0.017][0.019][0.021][0.027][0.036]
    Asian0.0190.0160.002−0.007−0.022
    [0.023][0.026][0.030][0.033][0.040]
    Hispanic0.040**0.040*0.0310.0390.021
    [0.020][0.023][0.025][0.031][0.043]
    White0.031*0.0290.0160.0220.015
    [0.017][0.019][0.021][0.027][0.036]
    Subsidized lunch0.0080.0090.0040.0030.003
    [0.006][0.007][0.008][0.008][0.011]
    High school 10.0030.0030.0030.0030.005
    [0.018][0.018][0.019][0.019][0.019]
    High school 2−0.004−0.006−0.006−0.005−0.002
    [0.059][0.059][0.059][0.059][0.059]
    High school × Year FEYesYesYesYesYes
    Constant0.258***0.262***0.285***0.275***0.260***
    [0.027][0.029][0.032][0.037][0.047]
    R20.6500.6430.6300.6330.653
    F-statistic12661153953819.1555.4
    Observations3,9473,4342,9082,4011,437
    Timing since high school graduationWithin 6 or 12 monthsAt 2 yearsAt 3 yearsAt 4 yearsAt 6 years
    • ↵Notes: Regressions are estimated for the post-Promise period, that is after 2005, and control for year dummies. The differences in sample sizes are due to different timing since high school graduation. Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. The F-test statistic is from the first stage.

    • View popup
    Table A.7

    Promise Effects on Credits Attempted

    MethodOLSRFIV
    (1)(2)(3)
    Panel A: Credits Attempted at Two Years
    (Mean of DV | After =0, Elig. =1) =25.00
    After ×Eligible3.236**0.9721.408
    [1.646][1.563][2.265]
    R20.2020.1990.199
    N4,9024,9024,902
    p-value of difference between (1) and (3)0.503
    Panel B: Credits Attempted at Three Years
    (Mean of DV | After =0, Elig. =1) =36.11
    After × Eligible4.309*1.3321.961
    [2.468][2.319][3.414]
    R20.2150.2120.212
    N4,3764,3764,376
    p-value of difference between (1) and (3)0.588
    Panel C: Credits Attempted at 4 Years
    (Mean of DV | After =0, Elig. =1) =46.59
    After × Eligible6.562*2.4863.630
    [3.359][3.169][4.627]
    R20.2090.2070.207
    N3,8693,8693,869
    p-value of difference between (1) and (3)0.605
    • ↵Notes: Standard errors robust to heteroskedasticity are in brackets. *p < 0.10, **p < 0.05, ***p < 0.01. Outcome timing is since high school graduation. Regressions include dummies for after the Promise, individual (pseudo-)eligibility, sex, race/ethnicity, free/reduced-price lunch status, and high school of graduation-by-graduation year. The mean of the dependent variable is for eligibles in the pre-Promise period. In Column 1, prior to 2006, eligibility is based on Promise rules had the Promise been in effect at the time (rules-based eligibility). After 2006, eligibility is taken from Promise administrative records (observed eligibility). Column 2 always uses rules-based eligibility. Column 3 rescales Column 2 by the first-stage coefficient. This first- stage coefficient is obtained, for the post-Promise period, by regressing observed eligibility on rules-based eligibility (and the same covariates as above). The first-stage coefficient in Panel A is 0.690, 0.679 in Panel B, and 0.685 in Panel C; see Appendix Table A.5, Columns 2–4. The first-stage F-test statistic is 1,153 in Panel A, 953 in Panel B, and 819 in Panel C. The p-values are from a Hausman test of equality of the OLS and IV estimate.

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Journal of Human Resources: 56 (1)
Journal of Human Resources
Vol. 56, Issue 1
Winter 2021
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The Effects of the Kalamazoo Promise Scholarship on College Enrollment and Completion
Timothy J. Bartik, Brad Hershbein, Marta Lachowska
Journal of Human Resources Jan 2021, 56 (1) 269-310; DOI: 10.3368/jhr.56.1.0416-7824R4

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The Effects of the Kalamazoo Promise Scholarship on College Enrollment and Completion
Timothy J. Bartik, Brad Hershbein, Marta Lachowska
Journal of Human Resources Jan 2021, 56 (1) 269-310; DOI: 10.3368/jhr.56.1.0416-7824R4
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    • Abstract
    • I. Introduction
    • II. Background on KPS and the Promise
    • III. Data and Methodology
    • IV. Results for Postsecondary Outcomes
    • V. Sensitivity Analyses and Additional Estimates
    • VI. Heterogeneity
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