Analysis of Means

Graphs - Analysis of Means for Binomial Data

  

Use ANOM with binomial data to identify unusually large or small proportions. It tests the hypothesis that all the proportions come from the same binomial distribution at an a-level you specify.

With binomial data, a sample consists of observations that are either a "success" or "failure." All samples must be of the same size.

The ANOM plot for binomial data consists of the following:

·    The proportion of successes, the number of successes divided by the number of observations, versus the sample number.

·    Center line (green) the overall proportion

·    Lower and upper decision limits used to test the hypothesis. Minitab looks for proportions located beyond the decision limits and marks them with a red symbol.

-    If a sample proportion is located beyond a decision limit, you can reject the hypothesis that the proportion is equal to the overall proportion.

-    If a sample proportion falls within the decision limits, you cannot reject the hypothesis that the proportion is equal to the overall proportion.

Note

Because ANOM uses a normal approximation with binomial data, both np and n(1-p) should be at least five.

Example Output

image\anom_4n.gif

Interpretation

For the weld data, 11 samples of 80 welds each were taken. In each sample, the number of welds that did not meet specifications was recorded. Minitab divides the number of defective welds by 80 to obtain the proportion of defective welds.

Sample 4 is identified as being unusually large. Sample 4 had 14 defective welds, whereas all other samples had 10 or fewer.