One Arm Binomial Program

One Arm Binomial Sample Size and Power

Function

One Arm Binomial program calculates either estimates of sample size or power for one sample binomial problem. The first button calculates approximate power or sample size and critical values (reject if >= critical value). The second button calculates "exact" power and alpha for the given null and alternative proportions and sample size. Note, sample size and null and alternative proportions can be changed before using the second button.

Program Code

The program is written in JavaScript.

Source

Fleiss, J.L. Statistical Methods for Rates and Proportions (1981), pp. 13-15.

* The formula uses the arcsin transformation to achieve better small sample properties.

Input Items

The user is prompted for values to the following items. For items that have initial default values set, the values are given in parentheses.

One-sided or two-sided test

a, the significance level (.05)

p₀, the proportion for the null hypothesis

p_a, the proportion for the alternative hypothesis

1- b, the desired power for sample size estimation, or n, the total sample size for power estimation

Back to One Arm Binomial program.