Resident Population by State

Source:
U.S. Census Bureau

Release:
Annual Estimates of the Population for the U.S. and States, and for Puerto Rico.

Units:
Thousands of Persons, Not Seasonally Adjusted

Frequency:
Annual

Available Through:
12/31/2020

Why Use:

State resident population indicates population size and density, and economic strength.

Suggested Treatment:

The data shows autocorrection, seasonality and a non-normal distribution. The data should be differenced and seasonally adjusted. While the Order Norm transformation, provides the best normality, the Untransformed variable will also perform well.

Grain Transformation:

Data is able to be distributed by time but not by geography. The roll up method used is Sum.

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Resident Population by State

Auto Correction Function

Auto Correlation Function After Differencing

Partial Auto Correlation Function

Autocorrectation Analysis:

Data shows autocorrectation indicating a need for differencing

The ACF indicates 2 order differencing is appropriate.

Further differencing is reccommended

Trend Analysis:

The Kwiatkowski-Phillips-Schmidt-Shin (KPSS) test, KPSS Trend = 0.80 p-value = 0.01 indicates that the data is not stationary.

Distribution Analysis:

The Shapiro-Wilk test returned W = 0.87 with a p-value =0.00 indicating the data does not follow a normal distribution.

A skewness score of -0.37 indicates the data are fairly symmetrical.

Hartigan's dip test score of 0.05 with a p-value of 0.02 inidcates the data is multimodal

Statistics (Pearson P/ df, lower => more normal)

No transform
2.60
Box-cox
2.65
Log_b(x-a)
3.27
sqrt(x+a)
2.97
exp(x)
NA
arcsinh(x)
3.27
Yeo-Johnson
2.65
OrderNorm
0.99

Data Notes:

The following states do not report for this feature: District of Columbia, Puerto Rico. Additionally, 2020 data is not currently available.

Citation:

U.S. Census Bureau, Resident Population, retrieved from FRED, Federal Reserve Bank of St. Louis; January 23, 2020.

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