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Chi Square You to
Dive into Statistics
Tim Wilson
Analytics Demystified
@tgwilson | #eMetrics
Welcome to the
AI Track!
@tgwilson | #eMetrics
NOT a Smurf
NOTa data scientist
NOTa statistician
@tgwilson | #eMetrics
If you are a web
analyst…
…you will need to
start thinking
about data
differently.
@tgwilson | #eMetrics
If you are a data
scientist…
…you will need
recognize where
web analysts and
digital marketers
are coming from.
@tgwilson | #eMetricsurce: DARPA
The dream…
@tgwilson | #eMetrics
“I’ve fully
optimized your
marketing,
Dave.”
The dream… Artificial Intelligence!
@tgwilson | #eMetrics
“I’ve fully
optimized your
marketing,
Dave.”
?
@tgwilson | #eMetrics
“In God we trust; all
others bring data.”
- W. Edwards Deming
@tgwilson | #eMetrics
“In God we trust; all
others bring data.”
- W. Edwards Deming
@tgwilson | #eMetrics
“Marketing (and analytics) is
inherently decision-making
in conditions of uncertainty.”
- Matt Gershoff
@tgwilson | #eMetrics
“Marketing (and analytics) is
inherently decision-making
in conditions of uncertainty.
There is a cost to reducing
uncertainty.”
- Matt Gershoff
@tgwilson | #eMetrics
“Marketing (and analytics) is
inherently decision-making
in conditions of uncertainty.
There is a cost to reducing
uncertainty.
Uncertainty cannot be
entirely eliminated.”
- Matt Gershoff
This is one definition of
statistical thinking.
@tgwilson | #eMetrics
Statistics
≠
Machine Learning
≠
Artificial Intelligence
@tgwilson | #eMetrics
@tgwilson | #eMetrics
Statistical Thinking
Machine Learning
Artificial Intelligence
Let’s dive deep into one simple
example.
@tgwilson | #eMetrics
How much
traffic did we
get last month?
@tgwilson | #eMetrics
163,236
sessions
@tgwilson | #eMetrics
Let’s trend that!
@tgwilson | #eMetrics
@tgwilson | #eMetrics
How did that
traffic break
down by channel?
Simple: Channel Overview
@tgwilson | #eMetrics
Do sessions really differ by channel?
@tgwilson | #eMetrics
How many rows of data?
@tgwilson | #eMetrics
6!
Ask a data scientist…
@tgwilson | #eMetrics
163,236
Ask a data scientist…
@tgwilson | #eMetrics
163,236
Ask a data scientist…
@tgwilson | #eMetrics
This is the difference between
aggregation and observations.
@tgwilson | #eMetrics
Web analytics platforms have
conditioned us to work with
aggregated data.
@tgwilson | #eMetrics
BUT
@tgwilson | #eMetrics
They have started implicitly
acknowledging the need for
observation-level detail.
@tgwilson | #eMetrics
Adobe Analytics Data Feeds
@tgwilson | #eMetrics
Google Analytics à Google BigQuery
@tgwilson | #eMetrics
Back to our example
@tgwilson | #eMetrics
6 vs. 163,236
Is there a middle ground?
@tgwilson | #eMetrics
6
163,236
Maximum aggregation
Maximum detail
?
We can go from 6 to 186…
@tgwilson | #eMetrics
Yes, there is a middle ground.
@tgwilson | #eMetrics
6
163,236
Maximum aggregation
Maximum detail
From 6 to 186 by adding a dimension.
@tgwilson | #eMetrics
6
163,236
Maximum aggregation
Maximum detail
186 Add date as a dimension
This is less aggregated data.
@tgwilson | #eMetrics
6
163,236
Maximum aggregation
Maximum detail
186 Add date as a dimension
That’s enough to dig in a bit.
@tgwilson | #eMetrics
Let’s look at the variability
in the data.
@tgwilson | #eMetrics
Overall… we see some variability
@tgwilson | #eMetrics
And…we see variability within each channel
@tgwilson | #eMetrics
What if we ignore
the “time” aspect
of “date?”
@tgwilson | #eMetrics
We can now make a histogram!
@tgwilson | #eMetrics
Or…a density plot.
@tgwilson | #eMetrics
We can make a histogram for each channel.
@tgwilson | #eMetrics
Which means a density plot for each channel.
@tgwilson | #eMetrics
Back to our overall distribution.
@tgwilson | #eMetrics
Let’s flip it.
@tgwilson | #eMetrics
And squish and rotate it.
@tgwilson | #eMetrics
And squish and rotate it.
@tgwilson | #eMetrics
And then break out each channel
@tgwilson | #eMetrics
And then break out each channel
@tgwilson | #eMetrics
We can do an ANalysis Of VAriance
@tgwilson | #eMetrics
Also known as…a 1-Way ANOVA
@tgwilson | #eMetrics
Also known as…a 1-Way ANOVA
@tgwilson | #eMetrics
We can reject the null hypothesis!
@tgwilson | #eMetrics
@tgwilson | #eMetrics
@#$&*?!!!!
We can be reasonably confident
that there is a “real” difference
in sessions across different
channels.
@tgwilson | #eMetrics
We can dig in further!
@tgwilson | #eMetrics
Results of a Tukey
post hoc test
I’m not really
qualified to do this
with confidence
Let’s do a quick little visual check.
@tgwilson | #eMetrics
Go figure!
@tgwilson | #eMetrics
I know. We could see most of this visually.
@tgwilson | #eMetrics
But this was a simple example
mainly for illustrative purposes.
@tgwilson | #eMetrics
Things can easily get more involved.
@tgwilson | #eMetrics
Sessions by Channel Sessions by Device Type
?
Things can easily get more involved.
@tgwilson | #eMetrics
Sessions by Channel Sessions by Device Type
2-Way
ANOVA
Many statistical techniques
require moving away from
aggregation and towards
observations.
@tgwilson | #eMetrics
Time is something we aggregate
all the…time.
@tgwilson | #eMetrics
Let’s look at another example.
@tgwilson | #eMetrics
Did the metric
move enough
for me to
care?
@tgwilson | #eMetrics
Last week’s decline: signal or noise?
@tgwilson | #eMetricsbit.ly/hw-forecast
Start by looking at the data by day
@tgwilson | #eMetricsbit.ly/hw-forecast
Let’s break that data into two groups.
@tgwilson | #eMetricsbit.ly/hw-forecast
We have the data of interest…
@tgwilson | #eMetricsbit.ly/hw-forecast
…and data for context.
@tgwilson | #eMetricsbit.ly/hw-forecast
…or “training data.”
@tgwilson | #eMetricsbit.ly/hw-forecast
Let’s take our training data…
@tgwilson | #eMetricsbit.ly/hw-forecast
…and “decompose” it.
@tgwilson | #eMetricsbit.ly/hw-forecast
…and “decompose” it.
@tgwilson | #eMetricsbit.ly/hw-forecast
We have seasonality on a 7-day cycle.
@tgwilson | #eMetrics
=
bit.ly/hw-forecast
A moving average reveals trending.
@tgwilson | #eMetrics
=
+
bit.ly/hw-forecast
And what’s left is just noise.
@tgwilson | #eMetrics
=
+
+
bit.ly/hw-forecast
Trend + Seasonality = Forecast
@tgwilson | #eMetricsbit.ly/hw-forecast
The forecast won’t be perfect.
@tgwilson | #eMetricsbit.ly/hw-forecast
Historical “noise” à a prediction interval
@tgwilson | #eMetricsbit.ly/hw-forecast
We can compare to the actual results.
@tgwilson | #eMetricsbit.ly/hw-forecast
Now we have meaningful context.
@tgwilson | #eMetricsbit.ly/hw-forecast
Now we have meaningful context.
@tgwilson | #eMetricsbit.ly/hw-forecast
What this can look like in the real world.
@tgwilson | #eMetricsbit.ly/hw-forecast
And…drilling down and summarizing
@tgwilson | #eMetrics
Mark Edmondson’s
Pre-/Post- Analysis Using a Bayesian Structural Time-Series Method
@tgwilson | #eMetricsbit.ly/ga-effect
Of course…
@tgwilson | #eMetrics
…there’s more.
@tgwilson | #eMetrics
A LOT more!
@tgwilson / #eMetricsFlickr / Neil Piddock
ANOVA
Holt-Winters Forecasting
Bayesian Structural Time-Series
Crosstab with a !2 Test
Correlation
Regression
Median Absolute Deviation (MAD)
K-Means Clustering
Is there a statistically
significant difference between
these groups (dimensions +
metric)?
Did that metric
move enough for
me to care?
Can I
quantify the impact
of a change?
?
@tgwilson | #eMetrics
“Marketing (and analytics) is
inherently decision-making
in conditions of uncertainty.
There is a cost to reducing
uncertainty.
Uncertainty cannot be
entirely eliminated.”
- Matt Gershoff
Two possible reactions…
@tgwilson | #eMetrics
Excitement?
@tgwilson | #eMetrics
Terror?
@tgwilson | #eMetrics
Both?
@tgwilson | #eMetrics
So, now what?
@tgwilson | #eMetrics
Get inspired.
@tgwilson | #eMetrics
“Most of this sounds a little
over-the-horizon and
science-fiction-ish, and it
is. But it’s only just over
the horizon.”
- Jim Sterne
Join the discussion.
@tgwilson | #eMetrics
http://join.measure.chat
# data-science
(Maybe) Give it a try.
@tgwilson | #eMetrics
Slack/Twitter: @tgwilson
LinkedIn: linkedin.com/in/tgwilson
Email: tim@analyticsdemystified.com
Podcast: analyticshour.io
@tgwilson | #eMetrics
Thank you!
Measure Slack: join.measure.chat
Holt-Winters Forecasting: bit.ly/hw-forecast
GA Effect: bit.ly/ga-effect
Learn R: dartistics.com

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