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. Author manuscript; available in PMC: 2012 Nov 1.
Published in final edited form as: Demography. 2011 Nov;48(4):1263–1292. doi: 10.1007/s13524-011-0062-z

Table 4.

Multilevel models of census tract percentage non-Hispanic black: Black and white respondents from the 1981, 1991, and 2001 waves of the Panel Study of Income Dynamics (standard errors in parentheses)

Model 1
Model 2
Model 3
Model 4
Independent Variables Black White Black White Black White Black White
Intercept 42.407***
(2.158)
6.042***
(0.423)
46.505***
(2.224)
5.437***
(0.482)
44.216***
(2.588)
7.523***
(0.785)
50.690***
(2.767)
9.506***
(0.830)
Year 1991 (ref. = 1981) −3.817***
(1.082)
0.280
(0.366)
−1.510
(1.121)
0.580
(0.370)
−4.387*
(2.163)
1.511**
(0.547)
Year 2001 (ref. = 1991) −3.611**
(1.151)
1.113**
(0.376)
−2.542**
(1.159)
1 493***
(0.378)
−5.581**
(1.953)
1.526**
(0.467)
Individual Characteristics
 Age 30–39 (ref. = 18–29) −0.467
(1.190)
0.194
(0.446)
−0.402
(1.185)
0.137
(0.443)
 Age 40–49 (ref. = 18–29) 1.539
(1.410)
0.170
(0.497)
1.689
(1.404)
0.159
(0.494)
 Age 50–59 (ref. = 18–29) 6.379***
(1.676)
0.402
(0.549)
6.585***
(1.670)
0.344
(0.543)
 Age >60 (ref. = 18–29) 3.872*
(1.708)
0.735
(0.595)
4.227*
(1.699)
0.589
(0.590)
 Female (1 = yes) 0.339
(1.159)
0.283
(0.428)
0.220
(1.154)
0.247
(0.424)
 Married (1 = yes) −4.046**
(1.273)
−0.504
(0.426)
−4.105**
(1.267)
−0.523
(0.422)
 Number of children 0.482
(0.413)
−0.136
(0.190)
0.494
(0.411)
−0.136
(0.188)
 Homeowner (1 = yes) 1.600
(1.118)
−1.323***
(0.377)
1.261
(1.113)
−1.339***
(0.373)
 Persons per room 3.226**
(1.216)
1.177*
(0.597)
3.429**
(1.212)
1.083
(0.591)
 Education (in years) −0.834***
(0.180)
−0.111*
(0.053)
−0.882***
(0.179)
−0.111*
(0.052)
 Family income ($ 1,000s) −0.122***
(0.020)
−0.009**
(0.003)
−0.114***
(0.020)
−0.009**
(0.003)
 Employed (1 = yes) −0.816
(1.100)
−0.873
(0.473)
−0.962
(1.095)
−0.933*
(0.470)
Metropolitan Characteristics
 Population size (ln) 7 694***
(1.736)
−0.055
(0.359)
 % non-Hispanic black 1.244***
(0.176)
0.471***
(0.039)
 % Hispanic −0.452**
(0.159)
−0.004
(0.033)
 % Asian −0.297
(0.301)
−0.010
(0.066)
 % in poverty 0.257
(0.410)
0.009
(0.098)
 % of labor force in manufacturing 0.022
(0.256)
0.081
(0.054)
 % of labor force in local, state,
  or federal government
−0.674*
(0.293)
0.158*
(0.070)
 % new housing −0.176
(0.126)
0.073*
(0.032)
 % living in suburban area 0.100
(0.089)
0.023
(0.019)
 Municipal fragmentation 4.100
(7.940)
−3.364*
(1.610)
Variance Components
 Level 2: τ00 Random intercept (MSA) 431.97 27.45 413.93 27.76 363.92 27.74 117.84 7.55
 Level 1: σ2 Residual variance 788.46 108.24 780.92 107.91 747.21 106.02 744.50 105.39
Pseudo-R2 Level 2 .04 .00 .12 .00 .68 .73
Pseudo-R2 Level 1 .01 .00 .04 .02 .00 .01
Likelihood Ratio Test χ2 (df) 42.32*** (2) 14.73*** (2) 190.92*** (12) 95.98*** (12) 111.65*** (10) 201.61*** (10)
Log-Likelihood (df) −18,556 (3) −18,542 (3) −18,535 (5) −18,535 (5) −18,439 (17) −18,487 (17) −18,384 (27) −18,386 (27)
AIC 37,118 37,091 37,080 37,080 36,913 37,008 36,821 36,826
BIC 37,137 37,110 37,111 37,112 37,019 37,118 36,990 37,002
N 3,879 4,888 3,879 4,888 3,879 4,888 3,879 4,888

p < .10

*

p < .05

**

p < .01

***

p < .001