The diffusion index is a critical tool used to gauge the overall direction and momentum of economic activity. It is particularly effective in summarizing trends across various economic variables.
This document explores the creation of a diffusion index for the U.S. economy by analyzing three key economic variables:
Personal Consumption Expenditures (PCE): Represents consumer spending on goods and services and is a significant component of GDP.
Unemployment Rate (UNRATE): Measures the percentage of the labor force that is unemployed, providing insights into labor market health.
Consumer Price Index for All Urban Consumers (CPIAUCSL): Tracks changes in the price level of a basket of consumer goods and services, indicating inflation trends.
#US Economu diffusion data
head(data_xts,10)## [,1]
## 2010-05-01 100.00000
## 2010-06-01 100.00000
## 2010-07-01 -33.33333
## 2010-08-01 -33.33333
## 2010-09-01 100.00000
## 2010-10-01 100.00000
## 2010-11-01 100.00000
## 2010-12-01 33.33333
## 2011-01-01 100.00000
## 2011-02-01 33.33333#chicago diffusion data
head(data_xts1,10)## [,1]
## 2010-05-01 -100
## 2010-06-01 100
## 2010-07-01 100
## 2010-08-01 100
## 2010-09-01 100
## 2010-10-01 100
## 2010-11-01 100
## 2010-12-01 -100
## 2011-01-01 -100
## 2011-02-01 -100Analysis
The correlation between the U.S. and Chicago diffusion indexes is -0.04067206, indicating a very weak negative relationship. This means that as one index tends to increase, the other slightly decreases. However, this relationship is so weak that it is essentially negligible.
Interpreting Correlation:
A correlation coefficient ranges from -1 to +1. A value of -1 signifies a perfect negative linear relationship, where one variable increases as the other decreases proportionally. A value of 0 indicates no linear relationship between the variables. Conversely, a value of +1 suggests a perfect positive linear relationship, where both variables increase or decrease together proportionately.
Given the correlation of -0.04, it is evident that there is no strong linear association between the two diffusion indexes. While the negative value hints at a slight inverse relationship, its minimal magnitude suggests that the two series are essentially uncorrelated.
The US Economic Scorecard has demonstrated a fluctuating pattern, oscillating between positive and negative values within a moderate range. Notably, the scorecard has exhibited a positive trend through October, indicating a general economic recovery. In contrast, the Chicago Diffusion Index has remained consistently flat at -100 in recent months.
Interestingly, historical data shows that the Chicago Diffusion Index has mirrored fluctuations in the US Economic Scorecard during specific months in previous years. For example, in 2010 (October-November), 2011 (May-June), 2012 (July), 2014 (July), and again in November 2015, the movements of these two indices followed a mirrored pattern. However, in 2024, this pattern deviates significantly. The Chicago Diffusion Index exhibits behavior opposite to that of the US Economic Index, and it remains constant at -100, indicating no change.