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Blocking Factor with Varying Distributions

I am a heavy user of DOE with up to 8-factors and one blocking variable.  Each block is subjected to a condition over time.  The problem is the S/N ratio improves over that time.  Assume the distribution is normal and just the width decreases over time.  Another key is the time at which each block is removed from the test is unknown prior to the test and is uncontrolled.  And each block can be removed at different points rather than all at once. 

 

What is the best way to treat the analysis of the blocking variable?  It seems to me the time to removal of the block is information that would be important for the model

 

Thanks in advance.

Design of ExperimentsMass CustomizationRe: Blockierungsfaktor bei unterschiedlichen Verteilungen

Eine Grundannahme der linearen Regression ist die konstante Varianz. Sie können stattdessen in JMP ein "log-lineare Varianz"-Modell verwenden. Sie können über sie lesen Hier .