  Model analysis provides a mechanism for representing student learning as
measured by standard multiple-choice surveys. The model plot contains
information regarding both how likely students in a particular class are to
choose the correct answer and how likely they are to choose an answer
consistent with a well-documented conceptual model. Unfortunately Bao's
original presentation of the model plot did not include a way to represent
uncertainty in these measurements. I present details of a method to add error
bars to model plots by expanding the work of Sommer and Lindell. I also provide
a template for generating model plots with error bars.
