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Howdy, Gurus
I am appying R package for regression analysis as followings.
A dependent variable is jhnet that means ratio of dividing internal trip
with all trips in a traffic zone. There are many indepentent variables
including factor or dummy varibles such as parkfee, ohouse, Devt2,
corridor1.
I have three questions.
First, What are estimated for regression model?
Second, Which results should I trust among results from lm, anova, Anova?
Third, are there any differences among results from lm, anova, Anova?
Thank you in advance,
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Call:
lm(formula = I(jhnet^1) ~ as.factor(parkfee) + fare + as.factor(ohouse) +
tripMIN + as.factor(Devt2) + cityarea + coreDistance + density +
as.factor(corridor1) + as.factor(ic) + OD_total + nfirm_dong +
house1 + house2 + house3 + house4, data = sdi.data[w, ],
na.action = na.omit, singular.ok = TRUE)
Residuals:
Min 1Q Median 3Q Max
-0.27703 -0.02942 0.00552 0.02325 0.18894
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 5.68e-01 1.11e-02 51.15 < 2e-16 ***
as.factor(parkfee)1 3.89e-03 6.40e-03 0.61 0.5430
as.factor(parkfee)2 3.84e-03 2.51e-03 1.53 0.1255
fare 7.40e-07 3.07e-06 0.24 0.8097
as.factor(ohouse)2 -3.49e-03 2.55e-03 -1.37 0.1704
as.factor(ohouse)3 4.49e-04 4.83e-03 0.09 0.9260
as.factor(ohouse)4 -2.16e-02 8.11e-03 -2.66 0.0078 **
tripMIN -6.14e-05 3.75e-05 -1.64 0.1020
as.factor(Devt2)1 -2.57e-02 2.89e-03 -8.91 < 2e-16 ***
as.factor(Devt2)2 2.29e-02 3.57e-03 6.42 1.5e-10 ***
as.factor(Devt2)3 6.04e-02 3.34e-03 18.10 < 2e-16 ***
cityarea -6.59e-05 1.17e-05 -5.61 2.2e-08 ***
coreDistance 2.59e-07 2.39e-07 1.09 0.2773
density 7.55e-06 3.28e-07 23.02 < 2e-16 ***
as.factor(corridor1)B 2.54e-02 5.40e-03 4.70 2.7e-06 ***
as.factor(corridor1)C 7.86e-02 1.19e-02 6.58 5.5e-11 ***
as.factor(corridor1)D 8.39e-02 7.76e-03 10.81 < 2e-16 ***
as.factor(corridor1)E -2.72e-01 2.22e-02 -12.22 < 2e-16 ***
as.factor(corridor1)F -4.39e-02 5.21e-03 -8.43 < 2e-16 ***
as.factor(ic)1 1.51e-02 5.57e-03 2.70 0.0069 **
OD_total -1.36e-08 2.88e-08 -0.47 0.6375
nfirm_dong -9.77e-06 1.73e-06 -5.66 1.6e-08 ***
house1 -4.41e-06 2.27e-07 -19.44 < 2e-16 ***
house2 -8.13e-08 8.12e-08 -1.00 0.3165
house3 7.40e-06 3.22e-07 23.03 < 2e-16 ***
house4 -3.83e-06 2.40e-07 -15.96 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05
'.' 0.1 ' ' 1
Residual standard error: 0.0546 on 2974 degrees of freedom
Multiple R-Squared: 0.584, Adjusted R-squared: 0.58
F-statistic: 167 on 25 and 2974 DF, p-value: <2e-16
Analysis of Variance Table
Response: I(jhnet^1)
Df Sum Sq Mean Sq F value Pr(>F)
as.factor(parkfee) 2 0.06 0.03 10.05 4.5e-05 ***
fare 1 0.03 0.03 10.77 0.0010 **
as.factor(ohouse) 3 0.08 0.03 8.90 7.2e-06 ***
tripMIN 1 0.02 0.02 8.35 0.0039 **
as.factor(Devt2) 3 1.77 0.59 197.95 < 2e-16 ***
cityarea 1 2.55 2.55 855.60 < 2e-16 ***
coreDistance 1 2.47 2.47 827.62 < 2e-16 ***
density 1 0.79 0.79 265.23 < 2e-16 ***
as.factor(corridor1) 5 1.37 0.27 91.91 < 2e-16 ***
as.factor(ic) 1 0.0035 0.0035 1.17 0.2787
OD_total 1 0.03 0.03 10.05 0.0015 **
nfirm_dong 1 0.39 0.39 131.97 < 2e-16 ***
house1 1 0.49 0.49 164.06 < 2e-16 ***
house2 1 0.50 0.50 167.25 < 2e-16 ***
house3 1 1.11 1.11 373.09 < 2e-16 ***
house4 1 0.76 0.76 254.75 < 2e-16 ***
Residuals 2974 8.86 0.0030
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05
'.' 0.1 ' ' 1
[1] "Anova Results"
Anova Table (Type II tests)
Response: I(jhnet^1)
Sum Sq Df F value Pr(>F)
as.factor(parkfee) 0.01 2 1.19 0.3035
fare 0.00017 1 0.06 0.8097
as.factor(ohouse) 0.03 3 2.89 0.0343 *
tripMIN 0.01 1 2.68 0.1020
as.factor(Devt2) 1.77 3 198.18 < 2e-16 ***
cityarea 0.09 1 31.50 2.2e-08 ***
coreDistance 0.00352 1 1.18 0.2773
density 1.58 1 529.72 < 2e-16 ***
as.factor(corridor1) 1.96 5 131.40 < 2e-16 ***
as.factor(ic) 0.02 1 7.31 0.0069 **
OD_total 0.00066 1 0.22 0.6375
nfirm_dong 0.10 1 32.05 1.6e-08 ***
house1 1.13 1 377.88 < 2e-16 ***
house2 0.00299 1 1.00 0.3165
house3 1.58 1 530.37 < 2e-16 ***
house4 0.76 1 254.75 < 2e-16 ***
Residuals 8.86 2974
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05
'.' 0.1 ' ' 1
GVIF Df GVIF^(1/2Df)
as.factor(parkfee) 1.570 2 1.119
fare 1.562 1 1.250
as.factor(ohouse) 1.063 3 1.010
tripMIN 1.110 1 1.054
as.factor(Devt2) 2.378 3 1.155
cityarea 4.188 1 2.046
coreDistance 7.037 1 2.653
density 3.338 1 1.827
as.factor(corridor1) 10.050 5 1.260
as.factor(ic) 2.985 1 1.728
OD_total 2.667 1 1.633
nfirm_dong 2.367 1 1.539
house1 3.762 1 1.940
house2 2.571 1 1.604
house3 3.536 1 1.880
house4 1.766 1 1.329
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Kum-Hoe Hwang, Ph.D.Phone : 82-31-250-3516 Email : phdhwang@gmail.com
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