<p><a href="https://en.wikipedia.org/wiki/Relative_change_and_difference" rel="nofollow noreferrer">https://en.wikipedia.org/wiki/Relative_change_and_difference</a></p>
<p>Törnqvist, Leo; Vartia, Pentti; Vartia, Yrjö (1985), &quot;How Should Relative Changes Be Measured?&quot;, The American Statistician, 39 (1): 43–46, doi:10.2307/2683905</p>

CC BY-SA 4.0
2020-07-22T16:58:19.267Z
2020-07-22T16:58:19.267Z
T.S. Lim
<p>I need to compare change in employment size for a sample of companies. I could use percentage change, however, the problem with it is that when the base is small, a small absolute change result in a large percentage change.</p>

<p>For instance, company A and B employment is 10 and 10,000 respectively. assuming both company increase their employment by 5. the percentage increase is 50% for A and 0.05% for B.</p>

<p>I recall reading somewhere that there are some measures that take into account the different initial value when measuring changes (e.g., multiplying relative change by a function of absolute change). However, I can't recall where I read it or the name of the indicator.</p>

<p>Anyone is aware of such indicator or is able to propose a solution?</p>

<p>TIA</p>

CC BY-SA 4.0
2018-06-04T01:01:22.027Z
What is this for? Regression analysis?
TheSaint321
CC BY-SA 4.0
2018-06-05T02:02:02.643Z
For flagging out extreme changes that might be data entry error
Seamus Lam
CC BY-SA 4.0
2018-06-05T03:05:50.710Z
Is there some reason not to compare % difference with average employment churn for that company? If company X generally  increases/decreases their employment by 500 per month on average but this month they increased/decreased it by 9000 then it would flag that? You could calculate the standard deviation from average employment for each company?
TheSaint321
CC BY-SA 4.0
2018-06-05T08:22:52.110Z
thanks for the suggestion. I should have been clearer in my question or comment. The data come in annually, and some companies may only have one other data point for comparison. As such, we cant use standard deviation as a measure
Seamus Lam
<statistics>
Comparing relative change for different base value
Seamus Lam
# Comparing relative change for different base value

(Asked by: username_0 on 2018-05-31)

I need to compare change in employment size for a sample of companies. I could use percentage change, however, the problem with it is that when the base is small, a small absolute change result in a large percentage change.

For instance, company A and B employment is 10 and 10,000 respectively. assuming both company increase their employment by 5. the percentage increase is 50% for A and 0.05% for B.

I recall reading somewhere that there are some measures that take into account the different initial value when measuring changes (e.g., multiplying relative change by a function of absolute change). However, I can't recall where I read it or the name of the indicator.

Anyone is aware of such indicator or is able to propose a solution?

TIA

**Tags:** statistics

> **Comments:**
> **username_1**: What is this for? Regression analysis?  
> **username_0**: For flagging out extreme changes that might be data entry error  
> **username_1**: Is there some reason not to compare % difference with average employment churn for that company? If company X generally  increases/decreases their employment by 500 per month on average but this month they increased/decreased it by 9000 then it would flag that? You could calculate the standard deviation from average employment for each company?  
> **username_0**: thanks for the suggestion. I should have been clearer in my question or comment. The data come in annually, and some companies may only have one other data point for comparison. As such, we cant use standard deviation as a measure  

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## 1 answers

### Answer by username_2 on 2020-07-22. Score: 1

<https://en.wikipedia.org/wiki/Relative_change_and_difference>

Törnqvist, Leo; Vartia, Pentti; Vartia, Yrjö (1985), "How Should Relative Changes Be Measured?", The American Statistician, 39 (1): 43–46, doi:10.2307/2683905


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