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QUANTITATIVE & QUALITATIVE ANALYSIS
HOW TO
KNOW YOUR
A/B TESTING
STATISTICAL SIGNIFICANCE
https://www.linkedin.com/in/lilimarialau
@LiliMariaLau
• Extreme Sports runner
• Painter: Sketch, Watercolor, Oil, Pastels, Charcoal, Origami
• Qi-Gong practitioner
Lili Maria Lau
MSF, MIB
linkedin.com/in/lilimarialau
@LiliMariaLau
HELLO!
KNOW YOUR
A/B TESTING
STATISTICAL SIGNIFICANCE
1 Methodology
2 Analysis
3 Conclusion & Recommendation
OBJECTIVE:
• Determine which call to action button:
is more effective at converting potential
customers?
DATA:
• 600 visits
• 300 shown button
• 300 shown button
• 0 = didn't click it
• 1 = clicked it
METHODOLOGY
1 1 1
2 0 1
3 1 1
. . .
. . .
. . .
298 0 0
299 1 0
300 1 1
Total 142 156
METHODOLOGY: Chi Square 2X2 contingency table
𝑋"
=
(𝑎𝑑 − 𝑏𝑐)"
∗ (𝑎 + 𝑏 + 𝑐 + 𝑑)
(𝑎 + 𝑏)(𝑐 + 𝑑)(𝑏 + 𝑑)(𝑎 + 𝑐)
𝑋" =
[ 142 ∗ 144) − (158 ∗ 156 ]"∗ (142 + 158 + 156 + 144)
(142 + 158)(156 + 144)(158 + 144)(142 + 156)
𝑋" =
(20,448 − 24,648)"∗ (600)
(300)(300)(302)(298)
𝑋" =	1.307
Formula to calculate Chi Square:
𝑯 𝟎: 𝑇ℎ𝑒	𝑛𝑢𝑚𝑏𝑒𝑟	𝑜𝑓	𝑐𝑙𝑖𝑐𝑘𝑠	𝑖𝑠	𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡	𝑓𝑟𝑜𝑚	𝑡ℎ𝑒	𝑐𝑜𝑙𝑜𝑟	𝑜𝑓	𝑡ℎ𝑒	𝑏𝑢𝑡𝑡𝑜𝑛
𝑯 𝟏: 	𝑇ℎ𝑒	𝑛𝑢𝑚𝑏𝑒𝑟	𝑜𝑓	𝑐𝑙𝑖𝑐𝑘𝑠	𝑖𝑠	𝑎𝑠𝑠𝑜𝑐𝑖𝑎𝑡𝑒𝑑	𝑤𝑖𝑡ℎ	𝑡ℎ𝑒	𝑐𝑜𝑙𝑜𝑟	𝑜𝑓	𝑡ℎ𝑒	𝑏𝑢𝑡𝑡𝑜𝑛
Downloaded
Didn't
download Total
142 158 300
156 144 300
Total 298 302 600
Downloaded
Didn't
download Total
a b a + b
c d c + d
Total a + c b + d a + b + c + d = N
Degrees of freedom = (# of columns - 1) x (# of rows - 1)
Therefore, df = (2 - 1) x (2 - 1) = 1
𝑋"
=	1.307
𝛼 = 0.05
df = 1
In Excel we calculate the Chi-Square formula with
X = 1.307, and deg_freedom = 1, to find the p-value:
P value = CHISQ.DIST.RT(1.307,1)
P value = 0.253
METHODOLOGY: Chi-Square 2x2 contingency table
ANALYSIS
Since a p-value of 0.253 is greater than the conventionally accepted
significance level of 0.05 (i.e. p > 0.05), we fail to reject the null
hypothesis.
In other words, there is no statistically significant difference or
relationship between the number of downloads, and whether the button is
or .
There is no relationship between
the number of clicks, and the
button design ( or )
with statistical significance.
“
CONCLUSION
“
SUGGESTED NEXT STEPS
Try other tools that would have more impact in the number of downloads taking
into account the following:
• Determine who is interesting in buying in your website and their specific
characteristics
• Define your site content and keywords to ranking high in the potential
searches that those users might make
• Identify themes in customers that can be applied to those keywords
• Group your customers into buyer "personas"
• Target those personas that are most likely to make a purchase in your
website not just visit!
THANKS FOR READING!

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A/B Testing - Quantitative Analysis

  • 1. QUANTITATIVE & QUALITATIVE ANALYSIS HOW TO KNOW YOUR A/B TESTING STATISTICAL SIGNIFICANCE https://www.linkedin.com/in/lilimarialau @LiliMariaLau
  • 2. • Extreme Sports runner • Painter: Sketch, Watercolor, Oil, Pastels, Charcoal, Origami • Qi-Gong practitioner Lili Maria Lau MSF, MIB linkedin.com/in/lilimarialau @LiliMariaLau HELLO!
  • 3. KNOW YOUR A/B TESTING STATISTICAL SIGNIFICANCE 1 Methodology 2 Analysis 3 Conclusion & Recommendation
  • 4. OBJECTIVE: • Determine which call to action button: is more effective at converting potential customers? DATA: • 600 visits • 300 shown button • 300 shown button • 0 = didn't click it • 1 = clicked it METHODOLOGY 1 1 1 2 0 1 3 1 1 . . . . . . . . . 298 0 0 299 1 0 300 1 1 Total 142 156
  • 5. METHODOLOGY: Chi Square 2X2 contingency table 𝑋" = (𝑎𝑑 − 𝑏𝑐)" ∗ (𝑎 + 𝑏 + 𝑐 + 𝑑) (𝑎 + 𝑏)(𝑐 + 𝑑)(𝑏 + 𝑑)(𝑎 + 𝑐) 𝑋" = [ 142 ∗ 144) − (158 ∗ 156 ]"∗ (142 + 158 + 156 + 144) (142 + 158)(156 + 144)(158 + 144)(142 + 156) 𝑋" = (20,448 − 24,648)"∗ (600) (300)(300)(302)(298) 𝑋" = 1.307 Formula to calculate Chi Square: 𝑯 𝟎: 𝑇ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑙𝑖𝑐𝑘𝑠 𝑖𝑠 𝑖𝑛𝑑𝑒𝑝𝑒𝑛𝑑𝑒𝑛𝑡 𝑓𝑟𝑜𝑚 𝑡ℎ𝑒 𝑐𝑜𝑙𝑜𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑢𝑡𝑡𝑜𝑛 𝑯 𝟏: 𝑇ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑙𝑖𝑐𝑘𝑠 𝑖𝑠 𝑎𝑠𝑠𝑜𝑐𝑖𝑎𝑡𝑒𝑑 𝑤𝑖𝑡ℎ 𝑡ℎ𝑒 𝑐𝑜𝑙𝑜𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑏𝑢𝑡𝑡𝑜𝑛 Downloaded Didn't download Total 142 158 300 156 144 300 Total 298 302 600 Downloaded Didn't download Total a b a + b c d c + d Total a + c b + d a + b + c + d = N
  • 6. Degrees of freedom = (# of columns - 1) x (# of rows - 1) Therefore, df = (2 - 1) x (2 - 1) = 1 𝑋" = 1.307 𝛼 = 0.05 df = 1 In Excel we calculate the Chi-Square formula with X = 1.307, and deg_freedom = 1, to find the p-value: P value = CHISQ.DIST.RT(1.307,1) P value = 0.253 METHODOLOGY: Chi-Square 2x2 contingency table
  • 7. ANALYSIS Since a p-value of 0.253 is greater than the conventionally accepted significance level of 0.05 (i.e. p > 0.05), we fail to reject the null hypothesis. In other words, there is no statistically significant difference or relationship between the number of downloads, and whether the button is or .
  • 8. There is no relationship between the number of clicks, and the button design ( or ) with statistical significance. “ CONCLUSION “
  • 9. SUGGESTED NEXT STEPS Try other tools that would have more impact in the number of downloads taking into account the following: • Determine who is interesting in buying in your website and their specific characteristics • Define your site content and keywords to ranking high in the potential searches that those users might make • Identify themes in customers that can be applied to those keywords • Group your customers into buyer "personas" • Target those personas that are most likely to make a purchase in your website not just visit!