Why the sample size calculator over estimates the sample real needed? | Community
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miguelm62125791
New Participant
February 2, 2017
Solved

Why the sample size calculator over estimates the sample real needed?

  • February 2, 2017
  • 12 replies
  • 10587 views

Why the sample size calculator over estimates the sample needed? With fewer visitors than the estimated, the results are conclusive.

For example:

80% power, 95% Confidence level, baseline conversion of 10%, 2 offers, and 1000 daily visitors, the calculator says that you will need:

a sample size of 14,748 visitors to detect a lift of 10%. 

 

However, with 10,000 visitors per offer, you can detect a lift of 10% with a 98,89% Confidence Level.

 

Thank you in advance for your help. 

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Best answer by cki_phylo

Hi Rohit, I'm a product manager on Target and let me try to address your concern. First and most importantly, the sample size calculator does not provide an estimate. It stipulates the minimum sample size required in order to guarantee that your false-positive rate (ie inverse of Confidence) is bounded. Which means that if you desire a 95% confidence (or 5% false-positive rate), you MUST wait until this sample size has transpired in order to guarantee that only 1 out of 20 times (ie 5%) will a test yield a false-positive. Only after the test has crossed the sample size, a user should look at the Confidence-value and ascertain that it is indeed above 95%. If the confidence-value after the sample side has been acquired is below 95%, this means that at a 95% threshold for significance, your test in inconclusive. If all of this didnt make sense, here is a simple 3-step workflow to do AB-testing correctly:

 

1. Compute the sample size with desired significance (say 95%) and most accurate guesses for "Baseline CR", "Minimum detectable lift". If you have more than 2 experiences, dont forget to apply Bonneferroni correction.

2. Wait until each experience has acquired this sample size.

3. Evaluate only at this point, whether the Confidence value shown in the Reports is above 95%. If its not, your test is inconclusive and you do not have a winner for this test.

 

I understand this is something you may not have done before, but our years of analysis have shown that if users dont wait until the sample size, their tests are 56% likely to find a false-positive (ie a 'winner' that actually performs worse than control in reality). 

Hope that helps!

12 replies

miguelm62125791
New Participant
February 8, 2017

Thank you for your reply Rohit

The point is that the sample calculator always over estimates the amount of traffic needed to reach conclusive results, this also happens using others size calculators. 

Employee
February 8, 2017

Hi,

The sample calculator gives an estimate on the amount of time and traffic based on the variables provided. Since this is an estimate and not an accurate number the chances of this meeting the actual results for a campaign are less likely. There is a high probability of a campaign reaching the expected lift much earlier or much later depending on the nature of the campaign and components being tested within the campaign.

Hope this helps!

Thanks,

Rohit