library(tidycensus)
library(dplyr)
##
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
library(lmtest)
## Loading required package: zoo
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
library(car)
## Loading required package: carData
##
## Attaching package: 'car'
## The following object is masked from 'package:dplyr':
##
## recode
census_api_key("35ef8d24e494f8be80cce76ed2cba22372d69b12", overwrite = TRUE)
## To install your API key for use in future sessions, run this function with `install = TRUE`.
tx_pums <- get_pums(
variables = c("AGEP", "PINCP", "WKHP", "SEX"),
state = "TX",
survey = "acs1",
year = 2023
)
## Getting data from the 2023 1-year ACS Public Use Microdata Sample
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variables from ACA are age, income, work, sex
tx_clean <- tx_pums %>%
mutate(
age = as.numeric(AGEP),
income = as.numeric(PINCP),
hours = as.numeric(WKHP),
sex_male = if_else(SEX %in% c("1", "Male"), 1,
if_else(SEX %in% c("2", "Female"), 0, NA_real_))
) %>%
filter(age >= 25,
!is.na(income), income > 0,
!is.na(hours), hours > 0,
!is.na(sex_male))
SUMMARY OF DATA
nrow(tx_clean)
## [1] 133638
summary(tx_clean$income)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 4 30000 52100 76572 90000 1599200
LINEAR MODEL AND SUMMARY – dependent variable is income, independent variables are age, hours, sex_male
m1 <- lm(income ~ age + hours + sex_male,
data = tx_clean)
summary(m1)
##
## Call:
## lm(formula = income ~ age + hours + sex_male, data = tx_clean)
##
## Residuals:
## Min 1Q Median 3Q Max
## -191258 -41966 -18478 12837 1511332
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -43688.96 1226.00 -35.63 <2e-16 ***
## age 968.65 18.03 53.72 <2e-16 ***
## hours 1548.79 19.42 79.76 <2e-16 ***
## sex_male 24062.99 490.75 49.03 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 87850 on 133634 degrees of freedom
## Multiple R-squared: 0.08689, Adjusted R-squared: 0.08687
## F-statistic: 4239 on 3 and 133634 DF, p-value: < 2.2e-16
par(mfrow = c(2, 2))
plot(m1)
raintest(m1)
##
## Rainbow test
##
## data: m1
## Rain = 0.9832, df1 = 66819, df2 = 66815, p-value = 0.9857
dwtest(m1)
##
## Durbin-Watson test
##
## data: m1
## DW = 1.84, p-value < 2.2e-16
## alternative hypothesis: true autocorrelation is greater than 0
plot(m1, which = 3)
bptest(m1)
##
## studentized Breusch-Pagan test
##
## data: m1
## BP = 1928.2, df = 3, p-value < 2.2e-16
plot(m1, which = 2)
vif(m1)
## age hours sex_male
## 1.013616 1.051963 1.038711
tx_clean <- tx_clean %>%
mutate(log_income = log(income))
m2 <- lm(log_income ~ age + hours + sex_male,
data = tx_clean)
summary(m2)
##
## Call:
## lm(formula = log_income ~ age + hours + sex_male, data = tx_clean)
##
## Residuals:
## Min 1Q Median 3Q Max
## -11.1820 -0.4671 0.0681 0.5859 3.9485
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 8.7017919 0.0136577 637.13 <2e-16 ***
## age 0.0133661 0.0002009 66.54 <2e-16 ***
## hours 0.0324791 0.0002163 150.15 <2e-16 ***
## sex_male 0.2577847 0.0054670 47.15 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.9787 on 133634 degrees of freedom
## Multiple R-squared: 0.1886, Adjusted R-squared: 0.1886
## F-statistic: 1.035e+04 on 3 and 133634 DF, p-value: < 2.2e-16
par(mfrow = c(2, 2))
plot(m2)
bptest(m2)
##
## studentized Breusch-Pagan test
##
## data: m2
## BP = 1285, df = 3, p-value < 2.2e-16
So last class was probably the first time i felt really lost and even more so when trying to apply to my own data. Here is what I understand the findings are telling me, but I could be compeltely off.
My model violates the homoscedasticity assumption because Breusch–Pagan test is significant and the Scale–Location plot shows a funnel pattern. To get past this, I log-transformed the dependent variable which was income and re-estimated the model (m2). The plots improved and the Breusch–Pagan test became less significant, indicating a better fit with the homoscedasticity.