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Statistical Significance Calculations

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Hypotheses Testing

The following hypothesis test was performed for each set of results to determine if the difference due to location of the banner ad was significant.

Null Hypothesis: p1-p2=0

Test Statistic: z=(p1-p2)/sqrt(p*q(1/m +1/n))

p1= clicks/banner impressions sample 1
p2= clicks/banner impressions sample 2
m= banner impressions sample 1
n= banner impressions sample 2
p=m/(m+n) * p1 + n/(n+m) * p2
q= 1-p

P-Value: The smallest level of significance at which the null hypothesis would be rejected. (In other words, it is the smallest level at which the data is significant.) A two-tailed P-value was calculated for this data. P-values less than 0.05 were considered to be statistically significant.

Sample
m
n
p1
p2
p
z
Norm Dist
2 sided p-value
Statistically Significant?
Star Wars 1
6972
6025
0.014
0.034
0.024
-7.318
1.000
0.000
Yes
Star Wars 2
4895
5830
0.007
0.018
0.013
-5.013
1.000
0.000
Yes
Digital Frontiers 1
321
299
0.028
0.134
0.079
-4.886
1.000
0.000
Yes
Digital Frontiers 2
366
400
0.052
0.173
0.115
-5.240
1.000
0.000
Yes
Webreference
1683
1593
0.011
0.014
0.012
-0.774
0.780
0.439
No
Photodisc
1423
2027
0.022
0.039
0.032
-2.793
0.997
0.005
Yes
HoloNet
2374
2352
0.005
0.004
0.004
0.258
0.602
0.796
No

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Created: Apr. 21, 1997
Revised: Apr. 27, 1997

URL: http://webreference.com/dev/banner/statistics.html