6. See how your results differ from what you expected.

[hoxesi8100@]

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: