Computing sample size for a comparison study

Use the following sample size Webulator to compute sample size for a comparison study.

This Webulator is based on the following sample size formula for a comparison study.



The [Zalpha ] and [Zbeta] terms are provided in the following tables. The area under the normal curve for the [Zbeta] term is illustrated in the Figure 1.





Conversion table to create the Z beta term

(one tailed probability estimate=0.05);
beta = 0.10 (power = 90%) ;
[Zbeta] = 1.64
(one tailed probability estimate=0.06);
beta = 0.12 (power = 88%) ;
[Zbeta] = 1.55
(one tailed probability estimate=0.07);
beta = 0.14 (power = 86%) ;
[Zbeta] = 1.48
(one tailed probability estimate=0.08);
beta = 0.16 (power = 84%) ;
[Zbeta] = 1.41
(one tailed probability estimate=0.09);
beta = 0.18 (power = 82%) ;
[Zbeta] = 1.34
(one tailed probability estimate=0.10);
beta = 0.20 (power = 80%) ;
[Zbeta] = 1.28


Conversion table for alpha and percent confidence to Z
(alpha probability estimate of 0.10)=90%
[Zalpha] = 1.64
(alpha probability estimate of 0.09)=91%
[Zalpha] = 1.70
(alpha probability estimate of 0.08)=92%
[Zalpha] = 1.75
(alpha probability estimate of 0.07)=93%
[Zalpha] = 1.81
(alpha probability estimate of 0.06)=94%
[Zalpha] = 1.88
(alpha probability estimate of 0.05)=95%
[Zalpha] = 1.96
(alpha probability estimate of 0.04)=96%
[Zalpha] = 2.05
(alpha probability estimate of 0.03)=97%
[Zalpha] = 2.17
(alpha probability estimate of 0.02)=98%
[Zalpha] = 2.33
(alpha probability estimate of 0.01)=99%
[Zalpha] = 2.58

Only enter the numeric values without special characters into the Webulator© to compute the sample size required to represent a proportion of a population.

Expected Mean Expected Standard
Deviation
Zalpha Zbeta Estimated accuracy
Sample Size Numerator Denominator