6. See how your results differ from what you expected.
Posted: Sat Jan 18, 2025 5:54 am
Total emails sent = 5,000
Total opens = 1,000 (20% open rate)
Subject Line A was sent to 2,500 recipients.
Subject Line B was also sent to 2,500 recipients.
Here’s how you organize the data in a table:
Outcome
Subject Line A
Subject Line B
Total
Opened
500 (O)
500 (O)
1,000
Did Not Open
2,000 (O)
2,000 (O)
4,000
Total
2,500
2,500
5,000
Expected Values (E):
To calculate the expected value for each cell, use this formula:
E=(Row Total×Column Total)Grand TotalE = \frac{(\text{Row Total} \times \text{Column Total})}{\text{Grand Total}}E=Grand Total(Row Total×Column Total)
For example, to calculate the expected cyprus phone number material number of opens for Subject Line A:
E=(1,000×2,500)5,000=500E = \frac{(1,000 \times 2,500)}{5,000} = 500E=5,000(1,000×2,500)=500
Repeat this calculation for each cell:
Outcome
Subject Line A (E)
Subject Line B (E)
Total
Opened
500
500
1,000
Did Not Open
2,000
2,000
4,000
Total
2,500
2,500
5,000
These expected values now provide the baseline you’ll use in the Chi-Squared formula to compare against the observed values.
To calculate the Chi-Square value, compare the observed frequencies (O) to the expected frequencies (E) in each cell of your table. The formula for each cell is:
χ2=(O−E)2E\chi^2 = \frac{(O − E)^2}{E}χ2=E(O−E)2
Steps:
Total opens = 1,000 (20% open rate)
Subject Line A was sent to 2,500 recipients.
Subject Line B was also sent to 2,500 recipients.
Here’s how you organize the data in a table:
Outcome
Subject Line A
Subject Line B
Total
Opened
500 (O)
500 (O)
1,000
Did Not Open
2,000 (O)
2,000 (O)
4,000
Total
2,500
2,500
5,000
Expected Values (E):
To calculate the expected value for each cell, use this formula:
E=(Row Total×Column Total)Grand TotalE = \frac{(\text{Row Total} \times \text{Column Total})}{\text{Grand Total}}E=Grand Total(Row Total×Column Total)
For example, to calculate the expected cyprus phone number material number of opens for Subject Line A:
E=(1,000×2,500)5,000=500E = \frac{(1,000 \times 2,500)}{5,000} = 500E=5,000(1,000×2,500)=500
Repeat this calculation for each cell:
Outcome
Subject Line A (E)
Subject Line B (E)
Total
Opened
500
500
1,000
Did Not Open
2,000
2,000
4,000
Total
2,500
2,500
5,000
These expected values now provide the baseline you’ll use in the Chi-Squared formula to compare against the observed values.
To calculate the Chi-Square value, compare the observed frequencies (O) to the expected frequencies (E) in each cell of your table. The formula for each cell is:
χ2=(O−E)2E\chi^2 = \frac{(O − E)^2}{E}χ2=E(O−E)2
Steps: