Exclusive Content & Downloads from ASQ

The Lognormal Distribution for Modeling Quality Data When the Mean is Near Zero

Summary: The standard approach for dealing with lognormal data is to transform it to normal data by taking the natural log of each observation. This presents a problem for acceptance sampling applications: the producers and consumers need to express their quality requirements in units that have meaning to the product of interest. Here, we bridge the gap between the units of the product of interest and the units of the log-transformed data with formulas to determine required sample size and to construct Operating Characteristic curves for sampling plans. The work was motivated by a project that was set up to design acceptance sampling plans for the minute amounts of aluminum impurity in recycled plastic material. The lognormal distribution provided a useful model for this data having a mean near zero.

Anyone with a subscription, including Site and Enterprise members, can access this article.

Other Ways to Access content:

Join ASQ

Join ASQ as a Full member. Enjoy all the ASQ member benefits including access to many online articles.

Subscribe to Journal of Quality Technology

Access this and ALL OTHER Journal of Quality Technology online articles. You'll also receive the print version by mail.

  • Topics: Sampling
  • Keywords: Acceptance sampling,Lognormal distribution,Sampling plans
  • Author: Albin, Susan L.
  • Journal: Journal of Quality Technology