how to avoid being fooled by percent changes

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What the board room can learn from the shop floor or, how to avoid being fooled by percent changes By Ben Jones http://dataremixed.co

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A fictional tractor building company looks to understand why sales have decreased in the past year. Comparing the performance of two sales guys based on control charts yields very different results than a traditional "year-over-year" percent change analysis.

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Page 1: How to avoid being fooled by percent changes

What the board room can learn from the shop floor

or, how to avoid being fooled by percent changes

By Ben Joneshttp://dataremixed.com

Page 2: How to avoid being fooled by percent changes

Meet Jim

Page 3: How to avoid being fooled by percent changes

(Jim says Hi)

Page 4: How to avoid being fooled by percent changes

Jim runs a company selling…tractors.

Page 5: How to avoid being fooled by percent changes

Tractor Sales are down 3.6% this year

-3.6%

Page 6: How to avoid being fooled by percent changes

Jim wants answers…

Page 7: How to avoid being fooled by percent changes

Meet Jim’s two sales guys, Joe and Larry

Joe Larry

Page 8: How to avoid being fooled by percent changes

Larry’s numbers are up 2.9%…

Larry

+2.9%

Page 9: How to avoid being fooled by percent changes

Joe’s numbers are…not.

Joe-8.3%

Page 10: How to avoid being fooled by percent changes

What should Jim do?

Page 11: How to avoid being fooled by percent changes

(Jim is polishing up his resume…)

Page 12: How to avoid being fooled by percent changes

but what if it was all just a big misunderstanding?

Page 13: How to avoid being fooled by percent changes

Instead of just looking at % change “Year

Over Year”…

-3.6%

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…what if we plotted units sold by month?

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and what if we applied some brand new

techniques?

http://amzn.to/dOWKBwWalter Shewhart written in 1939

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to understand the variation in the data:

x-bar (or average)

UCL – Upper Control Limit

LCL – Lower Control Limit

“Common Cause” variation

“Special Cause” variation

“Special Cause” variation

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So wait, only LAST month is a “down” month…

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…and WHO do you think caused THAT?

Joe Larry

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Probably Joe, right?

Joe-8.3%

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But if we look at Joe’s numbers over time…

-8.3%

2009: 96 Units

Page 21: How to avoid being fooled by percent changes

But if we look at Joe’s numbers over time…

-8.3%

2010: 88 Units

Page 22: How to avoid being fooled by percent changes

Joe

We see no statistically significant change!

“Common Cause” variation

Page 23: How to avoid being fooled by percent changes

But Larry can’t be the reason, his numbers are

up, right?

Larry

+2.9%

Page 24: How to avoid being fooled by percent changes

Let’s look at Larry’s numbers over time…

2009: 69 Units

Page 25: How to avoid being fooled by percent changes

Let’s look at Larry’s numbers over time…

2010: 71 Units

Page 26: How to avoid being fooled by percent changes

Looks like Larry has some explaining to do about

December…

Larry“Special Cause” variation

Page 27: How to avoid being fooled by percent changes

These two approaches tell two very different stories…

Percent Change “YOY”

Control Charts

Page 28: How to avoid being fooled by percent changes

Blaming Joe would be mistaking NOISE for a

SIGNAL

Page 29: How to avoid being fooled by percent changes

Rewarding Larry would be missing the opportunity

to identify a SIGNAL

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Either way, Jim’s business loses an opportunity to

LEARN and GROW…

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…and the fate of our sales guys’ careers hangs

in the balance…

Joe Larry

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The Morals of the Story:• DON’T just compare % change

• DON’T assume a % change is statistically significant just because you don’t like it.

• DO use a Control Chart to filter out noise in a data set and identify signals

• NEVER adjust the y-axis to cross the x-axis at anything other than 0 (did you catch that trick? The column charts grossly over-exagerate the changes)

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For bar charts, always set the y-axis to 0

y-axis starts at 157 y-axis starts at 0

Appears to be 4X less

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Got all that, Jim?

Page 35: How to avoid being fooled by percent changes

More about Control Charts (in business)

• Understanding Variation– Donald J. Wheeler

Presentation by Ben Joneshttp://dataremixed.com