Data & Packages

Packages

Data

Clean Prolific Exports for Duplicate Submissions

None of the participating respondents submitted twice.

No one who respondent to one survey responded to the other

Clean Variables

Choice Variables

employer

attention

grants_decide

grants_job

grant_exp

grant_capacity

org_budget

age

gender

race

state

edu

party

Manipulation Check Variables

Thematic Check Variables

Between-Subjects Treatment Values & Order Randomization

Reformat Dataset for Choice-Level Observations

Add in Treatment Variables

Order Variables Neatly

Analysis

compare_coef <- function(m1, m2, terms) {
  stopifnot(all(terms %in% intersect(names(coef(m1)), names(coef(m2)))))

  # extract coefficient estimates and SEs from each model
  b1 <- coef(summary(m1))[terms, "Estimate"]
  se1 <- coef(summary(m1))[terms, "Std. Error"]

  b2 <- coef(summary(m2))[terms, "Estimate"]
  se2 <- coef(summary(m2))[terms, "Std. Error"]

  # difference in coefficients and its SE
  diff   <- b1 - b2
  seDiff <- sqrt(se1^2 + se2^2)   # independent-sample formula
  z      <- diff / seDiff
  p      <- 2 * (1 - pnorm(abs(z)))

  # tidy output
  data.frame(
    term     = terms,
    b_model1 = b1,
    b_model2 = b2,
    diff     = diff,
    se_diff  = seDiff,
    z        = z,
    p_value  = p,
    row.names = NULL
  )
}

Establish Base LPM

This model tests H1 - 3.

  • Hypothesis 1: Managers are more willing to apply for grants with greater award amounts.
  • Hypothesis 2:
  • Hypothesis 3:
Baseline LPM
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.581***
(0.047)
Increased Application Complexity −0.179***
(0.047)
More Frequent Reporting −0.074
(0.047)
Num.Obs. 2007
R2 0.573
R2 Adj. 0.519
Respondent Fixed Effects Yes
## 
## Linear hypothesis test:
## amount - complexity = 0
## 
## Model 1: restricted model
## Model 2: choice ~ 0 + amount + complexity + reporting + factor(PROLIFIC_PID)
## 
##   Res.Df    RSS Df Sum of Sq      F    Pr(>F)    
## 1   1782 403.79                                  
## 2   1781 388.20  1    15.591 71.529 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Linear hypothesis test:
## amount - reporting = 0
## 
## Model 1: restricted model
## Model 2: choice ~ 0 + amount + complexity + reporting + factor(PROLIFIC_PID)
## 
##   Res.Df    RSS Df Sum of Sq      F    Pr(>F)    
## 1   1782 399.79                                  
## 2   1781 388.20  1    11.584 53.146 4.636e-13 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Linear hypothesis test:
## complexity - reporting = 0
## 
## Model 1: restricted model
## Model 2: choice ~ 0 + amount + complexity + reporting + factor(PROLIFIC_PID)
## 
##   Res.Df    RSS Df Sum of Sq      F    Pr(>F)    
## 1   1782 391.27                                  
## 2   1781 388.20  1    3.0693 14.081 0.0001807 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

These findings support H1 and H2, but not H3.

Segment by Award Amount

Lower Award Amount Higher Award Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.058 −0.377***
(0.052) (0.066)
More Frequent Reporting 0.031 −0.188**
(0.052) (0.066)
Num.Obs. 892 669
R2 0.570 0.887
R2 Adj. 0.425 0.829
Respondent Fixed Effects Yes Yes
##         term    b_model1   b_model2      diff    se_diff        z      p_value
## 1 complexity -0.05829596 -0.3766816 0.3183857 0.08380393 3.799173 0.0001451796
## 2  reporting  0.03139013 -0.1883408 0.2197309 0.08380393 2.621965 0.0087424510

Segment by Reporting Requirements

Less Frequent Reporting More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.511*** 0.654***
(0.072) (0.063)
Increased Application Complexity −0.018 −0.288***
(0.072) (0.063)
Num.Obs. 669 892
R2 0.662 0.735
R2 Adj. 0.490 0.646
Respondent Fixed Effects Yes Yes
##         term    b_model1   b_model2       diff    se_diff         z     p_value
## 1     amount  0.51121076  0.6538117 -0.1426009 0.09556346 -1.492211 0.135643717
## 2 complexity -0.01793722 -0.2878924  0.2699552 0.09556346  2.824878 0.004729858

Segment by Application Complexity

Reduced Application Complexity Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.565*** 0.565***
(0.071) (0.060)
More Frequent Reporting −0.009 −0.135*
(0.071) (0.060)
Num.Obs. 669 892
R2 0.748 0.724
R2 Adj. 0.620 0.631
Respondent Fixed Effects Yes Yes
##        term    b_model1   b_model2         diff    se_diff            z
## 1    amount  0.56502242  0.5650224 1.221245e-15 0.09279155 1.316117e-14
## 2 reporting -0.00896861 -0.1345291 1.255605e-01 0.09279155 1.353146e+00
##     p_value
## 1 1.0000000
## 2 0.1760089

Segment by Sector

Base Model by Sector

Nonprofit Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.579*** 0.590***
(0.054) (0.096)
Increased Application Complexity −0.157** −0.251**
(0.054) (0.096)
More Frequent Reporting −0.089+ −0.024
(0.054) (0.096)
Num.Obs. 1539 468
R2 0.567 0.599
R2 Adj. 0.511 0.545
Respondent Fixed Effects Yes Yes
##         term    b_model1    b_model2        diff   se_diff           z
## 1     amount  0.57894737  0.58974359 -0.01079622 0.1103688 -0.09781952
## 2 complexity -0.15672515 -0.25128205  0.09455691 0.1103688  0.85673596
## 3  reporting -0.08888889 -0.02435897 -0.06452991 0.1103688 -0.58467542
##     p_value
## 1 0.9220756
## 2 0.3915908
## 3 0.5587660

Segment by Sector and Award Amount

Nonprofit, Lower Amount Nonprofit, Higher Amount Local Government, Lower Amount Local Government, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.047 −0.327*** −0.096 −0.538***
(0.059) (0.075) (0.110) (0.139)
More Frequent Reporting 0.000 −0.187* 0.135 −0.192
(0.059) (0.075) (0.110) (0.139)
Num.Obs. 684 513 208 156
R2 0.570 0.888 0.585 0.886
R2 Adj. 0.425 0.830 0.439 0.826
Respondent Fixed Effects Yes Yes Yes Yes
##         term      b_model1   b_model2      diff    se_diff        z     p_value
## 1 complexity -4.678363e-02 -0.3274854 0.2807018 0.09494626 2.956428 0.003112251
## 2  reporting  1.987151e-16 -0.1871345 0.1871345 0.09494626 1.970952 0.048729385
##         term    b_model1   b_model2      diff   se_diff        z    p_value
## 1 complexity -0.09615385 -0.5384615 0.4423077 0.1769113 2.500167 0.01241349
## 2  reporting  0.13461538 -0.1923077 0.3269231 0.1769113 1.847949 0.06460967
##         term      b_model1    b_model2        diff  se_diff          z
## 1 complexity -4.678363e-02 -0.09615385  0.04937022 0.124729  0.3958199
## 2  reporting  1.987151e-16  0.13461538 -0.13461538 0.124729 -1.0792630
##     p_value
## 1 0.6922379
## 2 0.2804705
##         term   b_model1   b_model2        diff   se_diff          z   p_value
## 1 complexity -0.3274854 -0.5384615 0.210976158 0.1573374 1.34091509 0.1799480
## 2  reporting -0.1871345 -0.1923077 0.005173189 0.1573374 0.03287958 0.9737706

Segment by Sector and Reporting Requirements

Nonprofit, Less Frequent Reporting Nonprofit, More Frequent Reporting Local Government, Less Frequent Reporting Local Government, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.515*** 0.643*** 0.500** 0.688***
(0.082) (0.071) (0.153) (0.130)
Increased Application Complexity −0.047 −0.257*** 0.077 −0.388**
(0.082) (0.071) (0.153) (0.130)
Num.Obs. 513 684 156 208
R2 0.679 0.729 0.593 0.756
R2 Adj. 0.516 0.637 0.378 0.670
Respondent Fixed Effects Yes Yes Yes Yes
##         term    b_model1   b_model2       diff   se_diff         z    p_value
## 1     amount  0.51461988  0.6432749 -0.1286550 0.1088424 -1.182029 0.23719405
## 2 complexity -0.04678363 -0.2573099  0.2105263 0.1088424  1.934230 0.05308487
##         term   b_model1   b_model2       diff   se_diff          z    p_value
## 1     amount 0.50000000  0.6884615 -0.1884615 0.2005679 -0.9396396 0.34740245
## 2 complexity 0.07692308 -0.3884615  0.4653846 0.2005679  2.3203345 0.02032279
##         term    b_model1   b_model2        diff  se_diff           z   p_value
## 1     amount  0.51461988 0.50000000  0.01461988 0.173361  0.08433201 0.9327925
## 2 complexity -0.04678363 0.07692308 -0.12370670 0.173361 -0.71357857 0.4754878
##         term   b_model1   b_model2        diff   se_diff          z   p_value
## 1     amount  0.6432749  0.6884615 -0.04518668 0.1483918 -0.3045094 0.7607399
## 2 complexity -0.2573099 -0.3884615  0.13115160 0.1483918  0.8838199 0.3767935

Segment by Sector and Application Complexity

Nonprofit, Reduced Complexity Nonprofit, Increased Complexity Local Government, Reduced Complexity Local Government, Increased Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.573*** 0.564*** 0.538*** 0.569***
(0.081) (0.069) (0.147) (0.118)
More Frequent Reporting 0.000 −0.138* −0.038 −0.123
(0.081) (0.069) (0.147) (0.118)
Num.Obs. 513 684 156 208
R2 0.730 0.720 0.792 0.740
R2 Adj. 0.593 0.625 0.683 0.649
Respondent Fixed Effects Yes Yes Yes Yes
##        term     b_model1   b_model2        diff   se_diff          z   p_value
## 1    amount 5.730994e-01  0.5637427 0.009356725 0.1067852 0.08762195 0.9301772
## 2 reporting 9.332922e-16 -0.1380117 0.138011696 0.1067852 1.29242370 0.1962105
##        term    b_model1   b_model2        diff   se_diff          z   p_value
## 1    amount  0.53846154  0.5692308 -0.03076923 0.1886684 -0.1630863 0.8704505
## 2 reporting -0.03846154 -0.1230769  0.08461538 0.1886684  0.4484873 0.6538015
##        term     b_model1    b_model2       diff   se_diff         z   p_value
## 1    amount 5.730994e-01  0.53846154 0.03463788 0.1679302 0.2062635 0.8365851
## 2 reporting 9.332922e-16 -0.03846154 0.03846154 0.1679302 0.2290329 0.8188434
##        term   b_model1   b_model2         diff   se_diff           z   p_value
## 1    amount  0.5637427  0.5692308 -0.005488079 0.1371068 -0.04002776 0.9680710
## 2 reporting -0.1380117 -0.1230769 -0.014934773 0.1371068 -0.10892801 0.9132596

Appendices

Power Analysis

##          n       type_s exp_typeM amce power alpha levels delta0
## 1 612.0732 2.254154e-05  1.140122  0.1   0.8   0.1      2   0.45

For the base mode, I only need 612 effective observations to have 80% power to detect an amce of 0.10 at alpha = 0.10.

## 
##      Multiple regression power calculation 
## 
##               u = 51
##               v = 187.4496
##              f2 = 0.15
##       sig.level = 0.05
##           power = 0.8

We have enough power to detect a medium effect size

Sample Demographics

Categorical demographics: Overall vs. Sector
Variable Level Count (Overall) Percent (Overall) Count (Local Gov) Percent (Local Gov) Count (Nonprofit) Percent (Nonprofit)
edu Associate Degree (e.g., AA, AS) 15 6.7 6 11.5 9 5.3
edu Bachelor’s Degree (e.g., BA, BS) 84 37.7 21 40.4 63 36.8
edu Doctoral Degree (e.g., JD, MD, PhD) 23 10.3 2 3.8 21 12.3
edu High school degree or equivalent (e.g., GED) 2 0.9 1 1.9 1 0.6
edu Master’s Degree (e.g., MA, MS, MPA, MBA) 78 35.0 11 21.2 67 39.2
edu Some college credit, no degree 17 7.6 10 19.2 7 4.1
edu Trade/technical/vocational training 4 1.8 1 1.9 3 1.8
gender Man 79 35.4 27 51.9 52 30.4
gender Non-binary 2 0.9 0 0.0 2 1.2
gender Woman 142 63.7 25 48.1 117 68.4
party Democrat 115 51.6 25 48.1 90 52.6
party Independent/No Party Affiliation 55 24.7 11 21.2 44 25.7
party Other (please specify) 7 3.1 1 1.9 6 3.5
party Republican 46 20.6 15 28.8 31 18.1
race American Indian/Alaskan Native 3 1.4 1 1.9 2 1.2
race Asian 14 6.4 2 3.8 12 7.1
race Black 24 10.9 8 15.4 16 9.5
race Hispanic 16 7.3 7 13.5 9 5.4
race Other Race (please specify) 4 1.8 2 3.8 2 1.2
race White 159 72.3 32 61.5 127 75.6
Organization Budget Distribution (ordered high → low): Overall vs. Sector
Budget Level Count (Overall) Count (Local Gov) Count (Nonprofit) Percent (Overall) Percent (Local Gov) Percent (Nonprofit)
≥1B 18 6 12 9.5 14.0 8.2
750M–1B 6 0 6 3.2 0.0 4.1
500–750M 7 1 6 3.7 2.3 4.1
250–500M 7 2 5 3.7 4.7 3.4
100–250M 6 1 5 3.2 2.3 3.4
75–100M 14 2 12 7.4 4.7 8.2
50–75M 12 5 7 6.3 11.6 4.8
25–50M 12 3 9 6.3 7.0 6.1
10–25M 16 6 10 8.4 14.0 6.8
7.5–10M 16 6 10 8.4 14.0 6.8
5–7.5M 11 2 9 5.8 4.7 6.1
2.5–5M 23 0 23 12.1 0.0 15.6
1–2.5M 11 2 9 5.8 4.7 6.1
750K–1M 7 2 5 3.7 4.7 3.4
500–750K 4 2 2 2.1 4.7 1.4
250–500K 8 1 7 4.2 2.3 4.8
<250K 12 2 10 6.3 4.7 6.8
State Distribution: Overall vs. Sector
State Count (Overall) Count (Local Gov) Count (Nonprofit) Percent (Overall) Percent (Local Gov) Percent (Nonprofit)
New York 23 7 16 10.3 13.5 9.4
Florida 18 7 11 8.1 13.5 6.4
Pennsylvania 17 3 14 7.6 5.8 8.2
California 16 3 13 7.2 5.8 7.6
Texas 14 5 9 6.3 9.6 5.3
Illinois 11 0 11 4.9 0.0 6.4
Michigan 11 1 10 4.9 1.9 5.8
Massachusetts 10 0 10 4.5 0.0 5.8
New Jersey 9 4 5 4.0 7.7 2.9
Georgia 7 2 5 3.1 3.8 2.9
Indiana 7 1 6 3.1 1.9 3.5
North Carolina 7 1 6 3.1 1.9 3.5
Ohio 6 0 6 2.7 0.0 3.5
Virginia 6 1 5 2.7 1.9 2.9
Colorado 5 2 3 2.2 3.8 1.8
Maryland 5 1 4 2.2 1.9 2.3
Washington 5 1 4 2.2 1.9 2.3
Oklahoma 4 0 4 1.8 0.0 2.3
Tennessee 4 1 3 1.8 1.9 1.8
Delaware 3 2 1 1.3 3.8 0.6
Louisiana 3 1 2 1.3 1.9 1.2
Minnesota 3 2 1 1.3 3.8 0.6
Nebraska 3 1 2 1.3 1.9 1.2
Oregon 3 1 2 1.3 1.9 1.2
South Carolina 3 1 2 1.3 1.9 1.2
Connecticut 2 0 2 0.9 0.0 1.2
Kansas 2 0 2 0.9 0.0 1.2
Kentucky 2 1 1 0.9 1.9 0.6
Vermont 2 0 2 0.9 0.0 1.2
Wisconsin 2 0 2 0.9 0.0 1.2
Alabama 1 0 1 0.4 0.0 0.6
Arkansas 1 1 0 0.4 1.9 0.0
Iowa 1 0 1 0.4 0.0 0.6
Missouri 1 1 0 0.4 1.9 0.0
Nevada 1 0 1 0.4 0.0 0.6
New Hampshire 1 0 1 0.4 0.0 0.6
Rhode Island 1 0 1 0.4 0.0 0.6
South Dakota 1 0 1 0.4 0.0 0.6
West Virginia 1 1 0 0.4 1.9 0.0
Wyoming 1 0 1 0.4 0.0 0.6
Numeric demographics: Overall vs. Sector
Variable N (Overall) Mean (Overall) SD (Overall) Median (Overall) Min (Overall) Max (Overall) N (Local Gov) Mean (Local Gov) SD (Local Gov) Median (Local Gov) Min (Local Gov) Max (Local Gov) N (Nonprofit) Mean (Nonprofit) SD (Nonprofit) Median (Nonprofit) Min (Nonprofit) Max (Nonprofit)
age 223 42.97 11.51 42 4 71 52 44.65 11.45 44.0 23 71 171 42.46 11.49 41 4 71
Duration..in.seconds. 223 499.55 241.38 426 186 1851 52 538.77 252.15 454.5 268 1465 171 487.63 236.80 420 186 1851
Grant Experience / Capacity (respondent-level; NA counted as no): Overall vs. Sector
Variable Count (Overall) Percent (Overall) Count (Local Gov) Percent (Local Gov) Count (Nonprofit) Percent (Nonprofit)
grant_capacity_1 127 57.0 29 55.8 98 57.3
grant_capacity_2 124 55.6 29 55.8 95 55.6
grant_capacity_3 118 52.9 28 53.8 90 52.6
grant_capacity_4 69 30.9 22 42.3 47 27.5
grant_capacity_5 159 71.3 37 71.2 122 71.3
grant_exp 167 74.9 36 69.2 131 76.6
grant_exp_federal 104 46.6 19 36.5 85 49.7
grant_exp_foundation 125 56.1 19 36.5 106 62.0
grant_exp_local 61 27.4 16 30.8 45 26.3
grant_exp_state 77 34.5 19 36.5 58 33.9
grants_decide 136 61.0 29 55.8 107 62.6
grants_job 69 30.9 13 25.0 56 32.7

Manipulation Checks

2x2 Table of Perceived vs. Assigned Sector Treatment
Perceived Treatment Local Government Nonprofit
Local Government 23.32 0.45
Nonprofit 0.00 76.23
##                   
##                    Local Government Nonprofit
##   Local Government              468         9
##   Nonprofit                       0      1530
## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  sector_contingency
## X-squared = 1952.1, df = 1, p-value < 2.2e-16

Manipulation between-subjects worked.

## [1] 0.08520179
## 
##    0    1 
##  171 1836
## Warning: Unknown or uninitialised column: `mani`.
## < table of extent 0 >

Only about 9% of the sample failed the manipulation check on the treatment.

Attention Check

## [1] 0.004484305

Over 99% passed the attention check.

Thematic Checks

##                             mean diff_from_4       p_value
## themes_amount_1_num     6.345291   2.3452915  0.000000e+00
## themes_complexity_1_num 4.775785   0.7757848 1.854962e-154
## themes_complexity_2_num 4.932735   0.9327354 4.411294e-229
## themes_complexity_3_num 5.058296   1.0582960 2.130235e-300
## themes_complexity_4_num 5.269058   1.2690583  0.000000e+00
## themes_reporting_1_num  5.269058   1.2690583 1.739165e-281
## themes_reporting_2_num  4.816143   0.8161435 4.373970e-150

All thematic checks passed.

Robustness Checks

Analysis on grants_decide = 1

Establish Base LPM

Respondents Managing Grants
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.640***
(0.059)
Increased Application Complexity −0.182**
(0.059)
More Frequent Reporting −0.112+
(0.059)
Num.Obs. 1224
R2 0.589
R2 Adj. 0.536
Respondent Fixed Effects Yes

Segment by Award Amount

Lower Award Amount Higher Award Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.056 −0.397***
(0.065) (0.082)
More Frequent Reporting 0.012 −0.235**
(0.065) (0.082)
Num.Obs. 544 408
R2 0.556 0.896
R2 Adj. 0.405 0.843
Respondent Fixed Effects Yes Yes

Segment by Reporting Requirements

Less Frequent Reporting More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.603*** 0.699***
(0.094) (0.077)
Increased Application Complexity −0.029 −0.287***
(0.094) (0.077)
Num.Obs. 408 544
R2 0.654 0.752
R2 Adj. 0.477 0.668
Respondent Fixed Effects Yes Yes

Segment by Application Complexity

Reduced Application Complexity Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.588*** 0.643***
(0.093) (0.077)
More Frequent Reporting −0.015 −0.196*
(0.093) (0.077)
Num.Obs. 408 544
R2 0.717 0.728
R2 Adj. 0.572 0.636
Respondent Fixed Effects Yes Yes

Segment by Sector

Base Model by Sector
Nonprofit Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.658*** 0.572***
(0.066) (0.131)
Increased Application Complexity −0.176** −0.207
(0.066) (0.131)
More Frequent Reporting −0.120+ −0.083
(0.066) (0.131)
Num.Obs. 963 261
R2 0.594 0.572
R2 Adj. 0.542 0.512
Respondent Fixed Effects Yes Yes
Segment by Sector and Award Amount
Nonprofit, Lower Amount Nonprofit, Higher Amount Local Government, Lower Amount Local Government, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.026 −0.393*** −0.166 −0.414*
(0.072) (0.091) (0.151) (0.190)
More Frequent Reporting 0.007 −0.224* 0.028 −0.276
(0.072) (0.091) (0.151) (0.190)
Num.Obs. 428 321 116 87
R2 0.554 0.901 0.574 0.879
R2 Adj. 0.402 0.850 0.418 0.813
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Reporting Requirements
Nonprofit, Less Frequent Reporting Nonprofit, More Frequent Reporting Local Government, Less Frequent Reporting Local Government, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.617*** 0.738*** 0.552* 0.552**
(0.103) (0.087) (0.228) (0.169)
Increased Application Complexity −0.037 −0.308*** 0.000 −0.207
(0.103) (0.087) (0.228) (0.169)
Num.Obs. 321 428 87 116
R2 0.681 0.755 0.542 0.745
R2 Adj. 0.518 0.671 0.289 0.652
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Application Complexity
Nonprofit, Reduced Application Complexity Nonprofit, Increased Application Complexity Local Government, Reduced Application Complexity Local Government, Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.654*** 0.645*** 0.345+ 0.634***
(0.104) (0.088) (0.201) (0.165)
More Frequent Reporting 0.019 −0.196* −0.138 −0.193
(0.104) (0.088) (0.201) (0.165)
Num.Obs. 321 428 87 116
R2 0.709 0.728 0.758 0.728
R2 Adj. 0.560 0.635 0.624 0.629
Respondent Fixed Effects Yes Yes Yes Yes

Analysis on grants_job = 1

Establish Base LPM

Respondents in Grant-Related Jobs
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.623***
(0.084)
Increased Application Complexity −0.180*
(0.084)
More Frequent Reporting −0.110
(0.084)
Num.Obs. 621
R2 0.578
R2 Adj. 0.522
Respondent Fixed Effects Yes

Segment by Award Amount

Lower Award Amount Higher Award Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.064 −0.406**
(0.093) (0.124)
More Frequent Reporting 0.006 −0.232+
(0.093) (0.124)
Num.Obs. 276 207
R2 0.552 0.879
R2 Adj. 0.397 0.816
Respondent Fixed Effects Yes Yes

Segment by Reporting Requirements

Less Frequent Reporting More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.551*** 0.701***
(0.127) (0.111)
Increased Application Complexity 0.058 −0.284*
(0.127) (0.111)
Num.Obs. 207 276
R2 0.682 0.735
R2 Adj. 0.516 0.643
Respondent Fixed Effects Yes Yes

Segment by Application Complexity

Reduced Application Complexity Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.580*** 0.603***
(0.122) (0.106)
More Frequent Reporting −0.116 −0.180+
(0.122) (0.106)
Num.Obs. 207 276
R2 0.758 0.742
R2 Adj. 0.632 0.652
Respondent Fixed Effects Yes Yes

Segment by Sector

Base Model by Sector
Nonprofit Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.654*** 0.492*
(0.092) (0.206)
Increased Application Complexity −0.193* −0.123
(0.092) (0.206)
More Frequent Reporting −0.118 −0.077
(0.092) (0.206)
Num.Obs. 504 117
R2 0.586 0.546
R2 Adj. 0.531 0.474
Respondent Fixed Effects Yes Yes
Segment by Sector and Award Amount
Nonprofit, Lower Amount Nonprofit, Higher Amount Local Government, Lower Amount Local Government, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.061 −0.393** −0.077 −0.462
(0.103) (0.139) (0.219) (0.271)
More Frequent Reporting 0.025 −0.286* −0.077 0.000
(0.103) (0.139) (0.219) (0.271)
Num.Obs. 224 168 52 39
R2 0.522 0.877 0.651 0.894
R2 Adj. 0.354 0.813 0.510 0.827
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Reporting Requirements
Nonprofit, Less Frequent Reporting Nonprofit, More Frequent Reporting Local Government, Less Frequent Reporting Local Government, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.607*** 0.704*** 0.308 0.692*
(0.130) (0.122) (0.380) (0.272)
Increased Application Complexity 0.036 −0.296* 0.154 −0.231
(0.130) (0.122) (0.380) (0.272)
Num.Obs. 168 224 39 52
R2 0.717 0.740 0.566 0.712
R2 Adj. 0.568 0.649 0.295 0.595
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Application Complexity
Nonprofit, Reduced Application Complexity Nonprofit, Increased Application Complexity Local Government, Reduced Application Complexity Local Government, Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.607*** 0.671*** 0.462 0.308
(0.136) (0.117) (0.276) (0.247)
More Frequent Reporting −0.071 −0.221+ −0.308 0.000
(0.136) (0.117) (0.276) (0.247)
Num.Obs. 168 224 39 52
R2 0.754 0.744 0.788 0.744
R2 Adj. 0.625 0.655 0.655 0.640
Respondent Fixed Effects Yes Yes Yes Yes

Analysis on grant_exp = 1

Establish Base LPM

Respondents with Grant Experience
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.602***
(0.054)
Increased Application Complexity −0.173**
(0.054)
More Frequent Reporting −0.075
(0.054)
Num.Obs. 1503
R2 0.579
R2 Adj. 0.525
Respondent Fixed Effects Yes

Segment by Award Amount

Lower Award Amount Higher Award Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.032 −0.383***
(0.059) (0.076)
More Frequent Reporting 0.044 −0.216**
(0.059) (0.076)
Num.Obs. 668 501
R2 0.563 0.889
R2 Adj. 0.415 0.832
Respondent Fixed Effects Yes Yes

Segment by Reporting Requirements

Less Frequent Reporting More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.515*** 0.681***
(0.083) (0.071)
Increased Application Complexity 0.000 −0.301***
(0.083) (0.071)
Num.Obs. 501 668
R2 0.655 0.742
R2 Adj. 0.479 0.655
Respondent Fixed Effects Yes Yes

Segment by Application Complexity

Reduced Application Complexity Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.599*** 0.587***
(0.083) (0.070)
More Frequent Reporting 0.012 −0.144*
(0.083) (0.070)
Num.Obs. 501 668
R2 0.731 0.720
R2 Adj. 0.595 0.625
Respondent Fixed Effects Yes Yes

Segment by Sector

Base Model by Sector
Nonprofit Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.610*** 0.572***
(0.061) (0.115)
Increased Application Complexity −0.189** −0.117
(0.061) (0.115)
More Frequent Reporting −0.087 −0.033
(0.061) (0.115)
Num.Obs. 1179 324
R2 0.575 0.596
R2 Adj. 0.520 0.540
Respondent Fixed Effects Yes Yes
Segment by Sector and Award Amount
Nonprofit, Lower Amount Nonprofit, Higher Amount Local Government, Lower Amount Local Government, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.041 −0.382*** 0.000 −0.389*
(0.065) (0.085) (0.135) (0.166)
More Frequent Reporting 0.026 −0.214* 0.111 −0.222
(0.065) (0.085) (0.135) (0.166)
Num.Obs. 524 393 144 108
R2 0.571 0.888 0.538 0.892
R2 Adj. 0.425 0.831 0.373 0.833
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Reporting Requirements
Nonprofit, Less Frequent Reporting Nonprofit, More Frequent Reporting Local Government, Less Frequent Reporting Local Government, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.519*** 0.696*** 0.500* 0.628***
(0.090) (0.081) (0.204) (0.151)
Increased Application Complexity −0.046 −0.327*** 0.167 −0.206
(0.090) (0.081) (0.204) (0.151)
Num.Obs. 393 524 108 144
R2 0.683 0.739 0.561 0.757
R2 Adj. 0.520 0.650 0.323 0.670
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Application Complexity
Nonprofit, Reduced Application Complexity Nonprofit, Increased Application Complexity Local Government, Reduced Application Complexity Local Government, Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.641*** 0.588*** 0.444* 0.583***
(0.094) (0.079) (0.181) (0.147)
More Frequent Reporting 0.031 −0.145+ −0.056 −0.139
(0.094) (0.079) (0.181) (0.147)
Num.Obs. 393 524 108 144
R2 0.732 0.710 0.736 0.752
R2 Adj. 0.595 0.612 0.593 0.663
Respondent Fixed Effects Yes Yes Yes Yes

Analysis on grant_exp_federal = 1

Establish Base LPM

Respondents with Federal Grant Experience
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.653***
(0.067)
Increased Application Complexity −0.136*
(0.067)
More Frequent Reporting −0.115+
(0.067)
Num.Obs. 936
R2 0.597
R2 Adj. 0.546
Respondent Fixed Effects Yes

Segment by Award Amount

Lower Award Amount Higher Award Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.050 −0.308**
(0.072) (0.095)
More Frequent Reporting −0.008 −0.192*
(0.072) (0.095)
Num.Obs. 416 312
R2 0.541 0.895
R2 Adj. 0.384 0.841
Respondent Fixed Effects Yes Yes

Segment by Reporting Requirements

Less Frequent Reporting More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.673*** 0.687***
(0.103) (0.089)
Increased Application Complexity 0.019 −0.198*
(0.103) (0.089)
Num.Obs. 312 416
R2 0.686 0.741
R2 Adj. 0.524 0.653
Respondent Fixed Effects Yes Yes

Segment by Application Complexity

Reduced Application Complexity Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.577*** 0.667***
(0.103) (0.086)
More Frequent Reporting −0.077 −0.198*
(0.103) (0.086)
Num.Obs. 312 416
R2 0.709 0.755
R2 Adj. 0.559 0.672
Respondent Fixed Effects Yes Yes

Segment by Sector

Base Model by Sector
Nonprofit Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.660*** 0.625***
(0.074) (0.153)
Increased Application Complexity −0.161* −0.025
(0.074) (0.153)
More Frequent Reporting −0.121 −0.088
(0.074) (0.153)
Num.Obs. 765 171
R2 0.593 0.622
R2 Adj. 0.540 0.566
Respondent Fixed Effects Yes Yes
Segment by Sector and Award Amount
Nonprofit, Lower Amount Nonprofit, Higher Amount Local Government, Lower Amount Local Government, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.045 −0.353** −0.074 −0.105
(0.080) (0.106) (0.174) (0.215)
More Frequent Reporting −0.002 −0.212* −0.032 −0.105
(0.080) (0.106) (0.174) (0.215)
Num.Obs. 340 255 76 57
R2 0.546 0.893 0.519 0.910
R2 Adj. 0.389 0.837 0.335 0.857
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Reporting Requirements
Nonprofit, Less Frequent Reporting Nonprofit, More Frequent Reporting Local Government, Less Frequent Reporting Local Government, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.659*** 0.711*** 0.737* 0.579**
(0.109) (0.100) (0.286) (0.191)
Increased Application Complexity −0.024 −0.254* 0.211 0.053
(0.109) (0.100) (0.286) (0.191)
Num.Obs. 255 340 57 76
R2 0.711 0.737 0.589 0.777
R2 Adj. 0.561 0.646 0.350 0.692
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Application Complexity
Nonprofit, Reduced Application Complexity Nonprofit, Increased Application Complexity Local Government, Reduced Application Complexity Local Government, Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.612*** 0.666*** 0.421* 0.674**
(0.117) (0.095) (0.204) (0.196)
More Frequent Reporting −0.024 −0.205* −0.316 −0.168
(0.117) (0.095) (0.204) (0.196)
Num.Obs. 255 340 57 76
R2 0.701 0.746 0.779 0.793
R2 Adj. 0.546 0.659 0.649 0.713
Respondent Fixed Effects Yes Yes Yes Yes

Test assumptions about grant_capacity

## 
## Attaching package: 'psych'
## The following object is masked from 'package:car':
## 
##     logit
## The following object is masked from 'package:modelsummary':
## 
##     SD
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
## Factor Analysis using method =  minres
## Call: fa(r = grant_vars_all, nfactors = 1, scores = "regression", fm = "minres", 
##     cor = "tet")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                   MR1   h2    u2 com
## grant_capacity_1 0.87 0.75 0.246   1
## grant_capacity_2 0.97 0.93 0.068   1
## grant_capacity_3 0.89 0.79 0.210   1
## grant_capacity_4 0.82 0.68 0.323   1
## grant_capacity_5 0.36 0.13 0.871   1
## 
##                 MR1
## SS loadings    3.28
## Proportion Var 0.66
## 
## Mean item complexity =  1
## Test of the hypothesis that 1 factor is sufficient.
## 
## df null model =  10  with the objective function =  4.32 with Chi Square =  8663.85
## df of  the model are 5  and the objective function was  0.63 
## 
## The root mean square of the residuals (RMSR) is  0.1 
## The df corrected root mean square of the residuals is  0.14 
## 
## The harmonic n.obs is  1439 with the empirical chi square  266.07  with prob <  2e-55 
## The total n.obs was  2007  with Likelihood Chi Square =  1267.77  with prob <  6.1e-272 
## 
## Tucker Lewis Index of factoring reliability =  0.708
## RMSEA index =  0.355  and the 90 % confidence intervals are  0.339 0.371
## BIC =  1229.75
## Fit based upon off diagonal values = 0.98
## Measures of factor score adequacy             
##                                                    MR1
## Correlation of (regression) scores with factors   0.99
## Multiple R square of scores with factors          0.98
## Minimum correlation of possible factor scores     0.95
## 
## Reliability analysis   
## Call: alpha(x = grant_vars)
## 
##   raw_alpha std.alpha G6(smc) average_r S/N    ase mean  sd median_r
##       0.84      0.83    0.79      0.55   5 0.0059 0.61 0.4     0.55
## 
##     95% confidence boundaries 
##          lower alpha upper
## Feldt     0.83  0.84  0.85
## Duhachek  0.83  0.84  0.85
## 
##  Reliability if an item is dropped:
##                  raw_alpha std.alpha G6(smc) average_r S/N alpha se   var.r
## grant_capacity_1      0.81      0.80    0.73      0.57 4.1   0.0074 3.3e-03
## grant_capacity_2      0.77      0.76    0.68      0.51 3.2   0.0089 1.8e-05
## grant_capacity_3      0.79      0.79    0.71      0.55 3.7   0.0081 1.3e-03
## grant_capacity_4      0.80      0.80    0.73      0.57 4.0   0.0076 3.4e-03
##                  med.r
## grant_capacity_1  0.57
## grant_capacity_2  0.52
## grant_capacity_3  0.57
## grant_capacity_4  0.57
## 
##  Item statistics 
##                     n raw.r std.r r.cor r.drop mean   sd
## grant_capacity_1 1872  0.82  0.80  0.69   0.63 0.61 0.49
## grant_capacity_2 1683  0.85  0.85  0.79   0.72 0.66 0.47
## grant_capacity_3 1530  0.81  0.82  0.73   0.68 0.69 0.46
## grant_capacity_4 1512  0.81  0.80  0.69   0.65 0.41 0.49
## 
## Non missing response frequency for each item
##                     0    1 miss
## grant_capacity_1 0.39 0.61 0.07
## grant_capacity_2 0.34 0.66 0.16
## grant_capacity_3 0.31 0.69 0.24
## grant_capacity_4 0.59 0.41 0.25
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
## -1.3908 -1.3908  0.4693  0.0000  1.0622  1.0622     819
## 
## ===============================================
##                         Dependent variable:    
##                     ---------------------------
##                        grant_capacity_index    
## -----------------------------------------------
## sectorNonprofit              -0.233***         
##                               (0.069)          
##                                                
## Constant                     0.180***          
##                               (0.061)          
##                                                
## -----------------------------------------------
## Observations                   1,188           
## R2                             0.010           
## Adjusted R2                    0.009           
## Residual Std. Error      0.996 (df = 1186)     
## F Statistic          11.420*** (df = 1; 1186)  
## ===============================================
## Note:               *p<0.1; **p<0.05; ***p<0.01

Being a nonprofit is associated with a 1/4 standard deviation reduction in the grant capacity index.

Establish Base LPM

Lower Grant Capacity Higher Grant Capacity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.688*** 0.543***
(0.096) (0.078)
Increased Application Complexity −0.356*** −0.050
(0.096) (0.078)
More Frequent Reporting −0.164+ −0.002
(0.096) (0.078)
Num.Obs. 477 711
R2 0.578 0.602
R2 Adj. 0.521 0.550
Respondent Fixed Effects Yes Yes

Segment by Award Amount

Effects of Complexity and Reporting by Grant Capacity and Award Amount
Lower Capacity, Lower Amount Lower Capacity, Higher Amount Higher Capacity, Lower Amount Higher Capacity, Higher Amount
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.211+ −0.642*** 0.078 −0.177*
(0.107) (0.135) (0.079) (0.087)
More Frequent Reporting −0.053 −0.340* 0.099 −0.101
(0.107) (0.135) (0.079) (0.087)
Num.Obs. 212 159 316 237
R2 0.575 0.885 0.646 0.935
R2 Adj. 0.426 0.825 0.524 0.901
Respondent Fixed Effects Yes Yes Yes Yes

Segment by Reporting Requirements

Effects of Award Amount and Application Complexity by Grant Capacity and Reporting Frequency
Lower Capacity, Less Frequent Reporting Lower Capacity, More Frequent Reporting Higher Capacity, Less Frequent Reporting Higher Capacity, More Frequent Reporting
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.528*** 0.789*** 0.481*** 0.615***
(0.143) (0.127) (0.134) (0.105)
Increased Application Complexity −0.189 −0.494*** 0.101 −0.170
(0.143) (0.127) (0.134) (0.105)
Num.Obs. 159 212 237 316
R2 0.647 0.744 0.633 0.749
R2 Adj. 0.461 0.655 0.443 0.663
Respondent Fixed Effects Yes Yes Yes Yes

Segment by Application Complexity

Effects of Award Amount and Reporting by Grant Capacity and Application Complexity
Lower Capacity, Reduced Application Complexity Lower Capacity, Increased Application Complexity Higher Capacity, Reduced Application Complexity Higher Capacity, Increased Application Complexity
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.642*** 0.653*** 0.608*** 0.527***
(0.143) (0.117) (0.133) (0.107)
More Frequent Reporting −0.075 −0.215+ 0.076 −0.056
(0.143) (0.117) (0.133) (0.107)
Num.Obs. 159 212 237 316
R2 0.780 0.721 0.677 0.725
R2 Adj. 0.664 0.624 0.509 0.630
Respondent Fixed Effects Yes Yes Yes Yes

Segment by Sector

Base Model by Sector
Base Model by Sector × Grant Capacity
Lower Capacity, Nonprofit Lower Capacity, Local Government Higher Capacity, Nonprofit Higher Capacity, Local Government
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.679*** 0.727*** 0.541*** 0.550***
(0.108) (0.202) (0.091) (0.156)
Increased Application Complexity −0.381*** −0.247 −0.029 −0.110
(0.108) (0.202) (0.091) (0.156)
More Frequent Reporting −0.195+ −0.027 −0.023 0.060
(0.108) (0.202) (0.091) (0.156)
Num.Obs. 387 90 531 180
R2 0.556 0.676 0.605 0.599
R2 Adj. 0.496 0.621 0.553 0.540
Respondent Fixed Effects Yes Yes Yes Yes
Segment by Sector and Award Amount
Effects of Complexity and Reporting by Sector × Amount × Grant Capacity
Lower Capacity, Nonprofit (Lower Amount) Lower Capacity, Nonprofit (Higher Amount) Lower Capacity, Local Gov (Lower Amount) Lower Capacity, Local Gov (Higher Amount) Higher Capacity, Nonprofit (Lower Amount) Higher Capacity, Nonprofit (Higher Amount) Higher Capacity, Local Gov (Lower Amount) Higher Capacity, Local Gov (Higher Amount)
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Increased Application Complexity −0.223+ −0.698*** −0.160 −0.400+ 0.081 −0.068 0.070 −0.500*
(0.121) (0.159) (0.230) (0.224) (0.090) (0.096) (0.167) (0.188)
More Frequent Reporting −0.102 −0.372* 0.160 −0.200 0.054 −0.068 0.230 −0.200
(0.121) (0.159) (0.230) (0.224) (0.090) (0.096) (0.167) (0.188)
Num.Obs. 172 129 40 30 236 177 80 60
R2 0.580 0.868 0.580 0.953 0.662 0.940 0.615 0.927
R2 Adj. 0.431 0.797 0.400 0.921 0.545 0.909 0.469 0.884
Respondent Fixed Effects Yes Yes Yes Yes Yes Yes Yes Yes
Segment by Sector and Reporting Requirements
Effects of Award Amount and Application Complexity by Sector × Reporting × Grant Capacity
Lower Capacity, Nonprofit (Less Frequent Reporting) Lower Capacity, Nonprofit (More Frequent Reporting) Lower Capacity, Local Gov (Less Frequent Reporting) Lower Capacity, Local Gov (More Frequent Reporting) Higher Capacity, Nonprofit (Less Frequent Reporting) Higher Capacity, Nonprofit (More Frequent Reporting) Higher Capacity, Local Gov (Less Frequent Reporting) Higher Capacity, Local Gov (More Frequent Reporting)
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.465** 0.805*** 0.800* 0.720* 0.508** 0.607*** 0.400 0.640**
(0.155) (0.145) (0.340) (0.263) (0.154) (0.119) (0.277) (0.221)
Increased Application Complexity −0.279+ −0.544*** 0.200 −0.280 0.102 −0.139 0.100 −0.260
(0.155) (0.145) (0.340) (0.263) (0.154) (0.119) (0.277) (0.221)
Num.Obs. 129 172 30 40 177 236 60 80
R2 0.682 0.726 0.567 0.823 0.664 0.755 0.513 0.736
R2 Adj. 0.511 0.629 0.278 0.748 0.487 0.669 0.232 0.636
Respondent Fixed Effects Yes Yes Yes Yes Yes Yes Yes Yes
Segment by Sector and Application Complexity
Effects of Award Amount and Reporting by Sector × Application Complexity × Grant Capacity
Lower Capacity, Nonprofit (Reduced Complexity) Lower Capacity, Nonprofit (Increased Complexity) Lower Capacity, Local Gov (Reduced Complexity) Lower Capacity, Local Gov (Increased Complexity) Higher Capacity, Nonprofit (Reduced Complexity) Higher Capacity, Nonprofit (Increased Complexity) Higher Capacity, Local Gov (Reduced Complexity) Higher Capacity, Local Gov (Increased Complexity)
Standard errors in parentheses. + p < 0.10, * p < 0.05, ** p < 0.01, *** p < 0.001.
Higher Award Amount 0.651*** 0.619*** 0.600 0.800** 0.678*** 0.519*** 0.400 0.550**
(0.157) (0.130) (0.357) (0.277) (0.155) (0.128) (0.260) (0.189)
More Frequent Reporting −0.047 −0.219+ −0.200 −0.200 0.034 −0.058 0.200 −0.050
(0.157) (0.130) (0.357) (0.277) (0.155) (0.128) (0.260) (0.189)
Num.Obs. 129 172 30 40 177 236 60 80
R2 0.781 0.711 0.779 0.768 0.663 0.713 0.722 0.764
R2 Adj. 0.664 0.608 0.632 0.668 0.485 0.614 0.561 0.675
Respondent Fixed Effects Yes Yes Yes Yes Yes Yes Yes Yes

Regress Budget onto Sector

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.    NA's 
##   1.000   6.000   9.000   9.016  12.000  17.000     297
## [1] 4.633595
## 
## ===============================================
##                         Dependent variable:    
##                     ---------------------------
##                           org_budget_num       
## -----------------------------------------------
## sectorNonprofit              -0.701***         
##                               (0.267)          
##                                                
## Constant                     9.558***          
##                               (0.235)          
##                                                
## -----------------------------------------------
## Observations                   1,710           
## R2                             0.004           
## Adjusted R2                    0.003           
## Residual Std. Error      4.626 (df = 1708)     
## F Statistic           6.876*** (df = 1; 1708)  
## ===============================================
## Note:               *p<0.1; **p<0.05; ***p<0.01
## [1] 0.1602592

Being a nonprofit is also associated with reduction in organization budgets of about one-sixth of a standard deviation.