TABLE 11.2 Mortgage Denlal Regresslons Using the Boston HMDA Data Dapandant varlable: deny = 1ifmortgage application is danled, = Oifaccepted; 2380 observations. (Table 11.2 continued) Regression Model F-Statistics and p-Values Testing Exclusion of Groups of Variables LPM Logit Probit Probit Probit Probit Ragressor (1) (2) (3) (4) (5) (6) (1) (2) (3) (4) (5) (6) 0.371 (0.099) 0.363 (0.100) black 0.084* 0.688** 0.389** 0.246 (0.023) (0.182) (0.098) (0.448) 2.57 (0.66) applicant single; high school diploma; industry unemployment rate 5.85 (< 0.001) 5.22 5.79 246 (0.60) 2.62 (0.61) P/A ratio 0.449** 4.76* 2.44 (0.001) (< 0.001) (0.114) (1.33) (0.61) houring expense-to income patio -0.048 -0.11 (1.29) -0.18 -0.30 -0.50 (0.70) -0.54 (0.110) (0.74) 0.22 (0.08) (0.68) (0.68) additional credit rating indicator variables 0,031 1.22 0.21** (0.08) 0.79 (0.18) medium loan-to-value ratio 0.46** 0.22* 0.22* (0.80 s loan-value ratio s 0.95) (0.013) (0.16) (0.08) (0.08) (0.291) high loan-to-value ratio (loan-value ratio > 0.95) 0.79 (0.18) 0.189** 1.49** 0.84** 0.79* (0.050) (0.32) (0.18) (0.18) race interactions and black 4.96 (0.002) COMLSumer credit score 0.031** 0.29** (0.04) 0 29 0.15** (0.02) 0.16** 0.34** 0.16* (0.005) (0.02) (0.11) (0.02) mortgage credit score 0.021 0.28 0.15 0.11 0.16 0.11 race interactions only 0.27 (0.011) (0.14) (0.07) (О.ок) (0.08) (0.10) 0.72 0.72* (0.12) (0.08) (0.766) a.197* (0.035) public bad credit record 0.70* (0.12) 1.23** 0.70 0.70* (0.20) (0.12) (0.12) difference in predicted probability of denial, white vs. black (percentage points) 0,702 (0.045) 2.56 (0.30) 2.59 (0.29) denied mortgage insurance 4.55** 2.59** 2.59 (0.57) (0.30) (0.29) 0.060 (0.021) 035* (0.11) 0.15 (0.11) 6.0% 6,6% 6.3% 6.5% self-employed 0.34** 8.4% 7.1% 0.67** 0.36** (0.21) (0.11) (0.11) 0.23* (0.08) 0.23 (0.08) 0.23 (0.08) single These regressions were estimated using the n = 2380 observations in the Boston HMDA data set described in Appendix 11.1. The linear probability model was estimated by OLS, and probit and logit regressions were estimated by maximum likelihood. Standard errors are given in parentheses under the coefficients, and p-values are given in parentheses under the F-statistics. The change in pre- dicted probability in the final row was computed for a hypothetical applicant whose values of the regressors, other than race, equal the sample mean. Individual coefficients are statistically significant at the *5% or **1% level. high school diploma -0.61** -0,60 -0.62 (0.23) (0.24) (0.23) unemployment rate 0.03 (0.02) 0.03 (0.02) 0.03 (0.02) condominium -0.05 (0.09) black x PI ratio -0.58 (1.47) black x houving expense- do-income ratio 1.23 (1.69) additional credit rating indicator variables no по ves по -5,71 (0.48) -3.04 (0.23) -2.90 (0.39) -2.54** (0.35) COMstant -0.183** -2.57* (0.028) (0.34)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
icon
Related questions
Question

In Table 11.2 the estimated coefficient on black is 0.084 in column (1),
0.688 in column (2), and 0.389 in column (3). In spite of these large differences, all three models yield similar estimates of the marginal effect of race on the probability of mortgage denial. How can this be?

TABLE 11.2 Mortgage Denlal Regresslons Using the Boston HMDA Data
Dapandant varlable: deny = 1ifmortgage application is danled, = Oifaccepted; 2380 observations.
(Table 11.2 continued)
Regression Model
F-Statistics and p-Values Testing Exclusion of Groups of Variables
LPM
Logit
Probit
Probit
Probit
Probit
Ragressor
(1)
(2)
(3)
(4)
(5)
(6)
(1)
(2)
(3)
(4)
(5)
(6)
0.371
(0.099)
0.363
(0.100)
black
0.084*
0.688**
0.389**
0.246
(0.023)
(0.182)
(0.098)
(0.448)
2.57
(0.66)
applicant single;
high school diploma; industry
unemployment rate
5.85
(< 0.001)
5.22
5.79
246
(0.60)
2.62
(0.61)
P/A ratio
0.449**
4.76*
2.44
(0.001)
(< 0.001)
(0.114)
(1.33)
(0.61)
houring expense-to
income patio
-0.048
-0.11
(1.29)
-0.18
-0.30
-0.50
(0.70)
-0.54
(0.110)
(0.74)
0.22
(0.08)
(0.68)
(0.68)
additional credit rating
indicator variables
0,031
1.22
0.21**
(0.08)
0.79
(0.18)
medium loan-to-value ratio
0.46**
0.22*
0.22*
(0.80 s loan-value ratio s 0.95)
(0.013)
(0.16)
(0.08)
(0.08)
(0.291)
high loan-to-value ratio
(loan-value ratio > 0.95)
0.79
(0.18)
0.189**
1.49**
0.84**
0.79*
(0.050)
(0.32)
(0.18)
(0.18)
race interactions and black
4.96
(0.002)
COMLSumer credit score
0.031**
0.29**
(0.04)
0 29
0.15**
(0.02)
0.16**
0.34**
0.16*
(0.005)
(0.02)
(0.11)
(0.02)
mortgage credit score
0.021
0.28
0.15
0.11
0.16
0.11
race interactions only
0.27
(0.011)
(0.14)
(0.07)
(О.ок)
(0.08)
(0.10)
0.72
0.72*
(0.12)
(0.08)
(0.766)
a.197*
(0.035)
public bad credit record
0.70*
(0.12)
1.23**
0.70
0.70*
(0.20)
(0.12)
(0.12)
difference in predicted
probability of denial, white
vs. black (percentage points)
0,702
(0.045)
2.56
(0.30)
2.59
(0.29)
denied mortgage insurance
4.55**
2.59**
2.59
(0.57)
(0.30)
(0.29)
0.060
(0.021)
035*
(0.11)
0.15
(0.11)
6.0%
6,6%
6.3%
6.5%
self-employed
0.34**
8.4%
7.1%
0.67**
0.36**
(0.21)
(0.11)
(0.11)
0.23*
(0.08)
0.23
(0.08)
0.23
(0.08)
single
These regressions were estimated using the n = 2380 observations in the Boston HMDA data set described in Appendix 11.1. The
linear probability model was estimated by OLS, and probit and logit regressions were estimated by maximum likelihood. Standard
errors are given in parentheses under the coefficients, and p-values are given in parentheses under the F-statistics. The change in pre-
dicted probability in the final row was computed for a hypothetical applicant whose values of the regressors, other than race, equal the
sample mean. Individual coefficients are statistically significant at the *5% or **1% level.
high school diploma
-0.61**
-0,60
-0.62
(0.23)
(0.24)
(0.23)
unemployment rate
0.03
(0.02)
0.03
(0.02)
0.03
(0.02)
condominium
-0.05
(0.09)
black x PI ratio
-0.58
(1.47)
black x houving expense-
do-income ratio
1.23
(1.69)
additional credit rating
indicator variables
no
по
ves
по
-5,71
(0.48)
-3.04
(0.23)
-2.90
(0.39)
-2.54**
(0.35)
COMstant
-0.183**
-2.57*
(0.028)
(0.34)
Transcribed Image Text:TABLE 11.2 Mortgage Denlal Regresslons Using the Boston HMDA Data Dapandant varlable: deny = 1ifmortgage application is danled, = Oifaccepted; 2380 observations. (Table 11.2 continued) Regression Model F-Statistics and p-Values Testing Exclusion of Groups of Variables LPM Logit Probit Probit Probit Probit Ragressor (1) (2) (3) (4) (5) (6) (1) (2) (3) (4) (5) (6) 0.371 (0.099) 0.363 (0.100) black 0.084* 0.688** 0.389** 0.246 (0.023) (0.182) (0.098) (0.448) 2.57 (0.66) applicant single; high school diploma; industry unemployment rate 5.85 (< 0.001) 5.22 5.79 246 (0.60) 2.62 (0.61) P/A ratio 0.449** 4.76* 2.44 (0.001) (< 0.001) (0.114) (1.33) (0.61) houring expense-to income patio -0.048 -0.11 (1.29) -0.18 -0.30 -0.50 (0.70) -0.54 (0.110) (0.74) 0.22 (0.08) (0.68) (0.68) additional credit rating indicator variables 0,031 1.22 0.21** (0.08) 0.79 (0.18) medium loan-to-value ratio 0.46** 0.22* 0.22* (0.80 s loan-value ratio s 0.95) (0.013) (0.16) (0.08) (0.08) (0.291) high loan-to-value ratio (loan-value ratio > 0.95) 0.79 (0.18) 0.189** 1.49** 0.84** 0.79* (0.050) (0.32) (0.18) (0.18) race interactions and black 4.96 (0.002) COMLSumer credit score 0.031** 0.29** (0.04) 0 29 0.15** (0.02) 0.16** 0.34** 0.16* (0.005) (0.02) (0.11) (0.02) mortgage credit score 0.021 0.28 0.15 0.11 0.16 0.11 race interactions only 0.27 (0.011) (0.14) (0.07) (О.ок) (0.08) (0.10) 0.72 0.72* (0.12) (0.08) (0.766) a.197* (0.035) public bad credit record 0.70* (0.12) 1.23** 0.70 0.70* (0.20) (0.12) (0.12) difference in predicted probability of denial, white vs. black (percentage points) 0,702 (0.045) 2.56 (0.30) 2.59 (0.29) denied mortgage insurance 4.55** 2.59** 2.59 (0.57) (0.30) (0.29) 0.060 (0.021) 035* (0.11) 0.15 (0.11) 6.0% 6,6% 6.3% 6.5% self-employed 0.34** 8.4% 7.1% 0.67** 0.36** (0.21) (0.11) (0.11) 0.23* (0.08) 0.23 (0.08) 0.23 (0.08) single These regressions were estimated using the n = 2380 observations in the Boston HMDA data set described in Appendix 11.1. The linear probability model was estimated by OLS, and probit and logit regressions were estimated by maximum likelihood. Standard errors are given in parentheses under the coefficients, and p-values are given in parentheses under the F-statistics. The change in pre- dicted probability in the final row was computed for a hypothetical applicant whose values of the regressors, other than race, equal the sample mean. Individual coefficients are statistically significant at the *5% or **1% level. high school diploma -0.61** -0,60 -0.62 (0.23) (0.24) (0.23) unemployment rate 0.03 (0.02) 0.03 (0.02) 0.03 (0.02) condominium -0.05 (0.09) black x PI ratio -0.58 (1.47) black x houving expense- do-income ratio 1.23 (1.69) additional credit rating indicator variables no по ves по -5,71 (0.48) -3.04 (0.23) -2.90 (0.39) -2.54** (0.35) COMstant -0.183** -2.57* (0.028) (0.34)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Time Series Analyses, Forecasting Methods, and Indices
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning