My company currently tests used monitors for resale. We currently use
a pattern generator and entry level technicians to evaluate the screen
quality. We are getting too many returns from our customers so I would
like to upgrade the system to performing more objective technical
tests using trained labor. What test equipment should I use? I have
looked at convergence testers, color analyzers, light meters, etc. but
I want to make sure that if the monitor passes the battery of tests,
we can be comfortable that the picture quality is as close to new as
possible.

Hi lorrax710,

Here you go, I don't think you'll find a more comprehensive document
online. I can't copy and paste but it's free to download.

Notes on the Troubleshooting and Repair of Computer and Video Monitors
Version 3.14
Copyright © 1994-2006
Samuel M. Goldwasser
--- All Rights Reserved ---
Reproduction of this document in whole or in part is permitted if both
of the following conditions are satisfied:
   1. This notice is included in its entirety at the beginning.
   2. There is no charge except to cover the costs of copying. 
http://www.repairfaq.org/sam/monfaq.htm

Of particular interest to your question, scroll down to "Test equipment".

Notes on the Troubleshooting and Repair of Computer and Video Monitors
Test equipment
http://www.repairfaq.org/sam/monfaq.htm#montste

Performance Testing of Computer and Video Monitors
Version 1.45
Copyright © 1994-2006
Samuel M. Goldwasser
--- All Rights Reserved ---
Reproduction of this document in whole or in part is permitted if both
of the following conditions are satisfied:
   1. This notice is included in its entirety at the beginning.
   2. There is no charge except to cover the costs of copying. 
# Basic Monitor Performance Criteria
    * Test Patterns 
# Testing a New or Used Monitor
    * Screen Size and General Appearance
    * Brightness and Screen Uniformity, Purity and Color Saturation
    * Stability
    * Convergence
    * Edge Geometry
    * Linearity
    * Tilt
    * Size and Position Control Range
    * Ghosting or Trailing Streaks
    * Sharpness
    * Moire
    * Scan Rate Switching
    * Acoustic Noise
    * Checking the Age of the CRT
    * Specifically for Used Monitor Purchases 
# Final Evaluation
# Monitor Testing Programs 
http://www.repairfaq.org/sam/montest.htm

TV and Monitor CRT (Picture Tube) Information
Version 1.98a (28-Feb-06)
Copyright © 1994-2006
Samuel M. Goldwasser
--- All Rights Reserved ---
Reproduction of this document in whole or in part is permitted if both
of the following conditions are satisfied:
   1. This notice is included in its entirety at the beginning.
   2. There is no charge except to cover the costs of copying. 
http://www.repairfaq.org/sam/crtfaq.htm#crtwir

I was very glad to find this for you. If you have any questions,
please post a clarification request and wait for me to respond before
closing/rating my answer.

Thank you,
hummer

Google Search Terms Used: 
crt monitor test equipment

It may not be a 100% answer, but the info in the referenced web pages
has gotten me alot closer to my answer. Thank you