Use a binomial distribution to represent data that consists of the number or proportion of observations that have a particular attribute. Data include samples of equal size (n) from k populations. The number of observations having the attribute of interest in each of k samples are denoted as y_{1}, y_{2},… , y_{k}. Listed below are the steps Minitab uses to compute ANOM results for data with a binomial distribution.

- Computes the k proportions:
- p
_{i}= y_{i}/ n (i = 1, 2, …, k)

- p
- Computes the overall proportion, or the average of the proportions:
- p̅ = Σ
^{k}_{i=1}p_{i }/ k

- p̅ = Σ
- Compute an estimate of the standard deviation of the proportion:
- s = Sqrt [p̅(1 -p̅) / n

where n = number of observations.

- Determine the decision lines at significance α:
- UDL = p̅ + h
_{α}s * Sqrt((k - 1)/ k) - LDL = p̅ - h
_{α}s * Sqrt((k - 1)/ k)

where h

_{α}= inverse cumulative probability of α2 for the standard normal distribution, where α2 = 1 -α / (2 * k).If the number of rows in your response column (k) equal 2, then α2 = 1 -α / 2

- UDL = p̅ + h
- Plots the proportions with the decision lines and the center line.