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edited Jan 13, 2021 at 17:22

I have data regarding the performances of shops on a certain time period: in this data some shops had an active marketing promotion, and some didn't. I would like to understand whether the shops with the promotion improved their performances more than the other group.

I have formulated the problem in the following terms: how many shops improved their performances (wrt the previous time period) among the two groups? In this case, my results are

Group	Total # Shops	# Shops with improved performances
No Promo	37907	23762
With Promo	1007	801

Running a significance test, data suggests that the difference is significant (p-value < 0.05), so I would have concluded that shops with active promo are more likely to improve their performances.

I would like now to estimate how much the improvement is, so if there's a difference in the mean growth between the two groups. In this case, data are:

Group	Total # Shops	Mean Growth %	Std
No Promo	37907	45%0.45	0.8896
With Promo	1007	83%0.83	1.0367

At this point, do I have to run a test on the difference in growth mean to understand if they are significant? If so, which kind of test should be used?

I have formulated the problem in the following terms: how many shops improved their performances (wrt the previous time period) among the two groups? In this case, my results are

Group	Total # Shops	# Shops with improved performances
No Promo	37907	23762
With Promo	1007	801

Running a significance test, data suggests that the difference is significant (p-value < 0.05), so I would have concluded that shops with active promo are more likely to improve their performances.

I would like now to estimate how much the improvement is, so if there's a difference in the mean growth between the two groups. In this case, data are:

Group	Total # Shops	Mean Growth %
No Promo	37907	45%
With Promo	1007	83%

At this point, do I have to run a test on the difference in growth mean to understand if they are significant? If so, which kind of test should be used?

I have formulated the problem in the following terms: how many shops improved their performances (wrt the previous time period) among the two groups? In this case, my results are

Group	Total # Shops	# Shops with improved performances
No Promo	37907	23762
With Promo	1007	801

Running a significance test, data suggests that the difference is significant (p-value < 0.05), so I would have concluded that shops with active promo are more likely to improve their performances.

I would like now to estimate how much the improvement is, so if there's a difference in the mean growth between the two groups. In this case, data are:

Group	Total # Shops	Mean Growth	Std
No Promo	37907	0.45	0.8896
With Promo	1007	0.83	1.0367

At this point, do I have to run a test on the difference in growth mean to understand if they are significant? If so, which kind of test should be used?

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asked Jan 13, 2021 at 15:05

Luckyna

Statistical Significance on shops performances with a marketing promotion

I have formulated the problem in the following terms: how many shops improved their performances (wrt the previous time period) among the two groups? In this case, my results are

Group	Total # Shops	# Shops with improved performances
No Promo	37907	23762
With Promo	1007	801

Running a significance test, data suggests that the difference is significant (p-value < 0.05), so I would have concluded that shops with active promo are more likely to improve their performances.

I would like now to estimate how much the improvement is, so if there's a difference in the mean growth between the two groups. In this case, data are:

Group	Total # Shops	Mean Growth %
No Promo	37907	45%
With Promo	1007	83%

At this point, do I have to run a test on the difference in growth mean to understand if they are significant? If so, which kind of test should be used?