U.S. Census Bureau
Housing & Urban Development
Dollars, Not Seasonally Adjusted
Median sales price of houses sold describes supply and demand of housing in the United States, and can predict consumer behavior around purchasing or renting housing.
The data shows autocorrection and a non-normal distribution. The data should be differenced. While the Boxcox transformation, provides the best normality, the Arcsin variable will also perform well.
Data is unable to be distributed by time or geography. The roll up method used is Weighted Average.
Median Sales Price of Houses Sold in the US
Auto Correction Function
Auto Correlation Function After Differencing
Partial Auto Correlation Function
Seasonal and Trend Decompostion
Data shows autocorrectation indicating a need for differencing
The ACF indicates 1 order differencing is appropriate.
Further differencing is reccommended
The Kwiatkowski-Phillips-Schmidt-Shin (KPSS) test, KPSS Trend = 0.23 p-value = 0.01 indicates that the data is not stationary.
The Shapiro-Wilk test returned W = 0.94 with a p-value =0.09 indicating the data follows a normal distribution.
A skewness score of -0.56 indicates the data are moderately skewed.
Hartigan's dip test score of 0.04 with a p-value of 0.98 inidcates the data is unimodal
Statistics (Pearson P/ df, lower => more normal)
Board of Governors of the Federal Reserve System (US), Household Debt Service Payments as a Percent of Disposable Personal Income [TDSP], retrieved from FRED, Federal Reserve Bank of St. Louis; https://fred.stlouisfed.org/series/TDSP, December 13, 2019.