# How do I use descriptive statistics to describe when I don’t have an independent and dependent variable?

My question is very basic:

I understand linear regression and how to use it. I would like to know what to use in statistics when I don’t have a dependent and independent variable. For example, I understand how we could use height to predictic weight but I only have one variable. Take for instance if I have four people dividing up money. I want to show how closely the numbers are together. Each person is going to submit their opinion of how the money should be divided. I want to show how one person is way off from the others using descriptive statistics. These are percentages of the total.

# 4 90%, 2.5%, 2.5%, 2.5%

I skewed the data to make it obvious but I want statistical numbers to show that #1-#3 All agree for the most part and #4 is way off. Am I missing something that blantantly obvious of how you would use regression?

• Try calculating the intra class correlation coefficient, or if that is too heavy handed, try the mean and variance of Z-scores. – Jay Schyler Raadt Dec 23 '17 at 1:17
• Who gets the remaining 2.5%? – whuber Oct 17 '19 at 11:25

## 1 Answer

For this specific type of problem, you might look into the Aitchison Distance, which is used in compositional data analysis, the method used to analyze data that sum up to a whole (in this case 100%). The Aitchison Distance is a measure of how different two unis with compositional data are from each other. Clearly, the outlying unit will have a large Aitchison Distance from the other units, while the others will have small Aitchison Distances from each other.