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1. Exploratory Data Analysis
1.2. EDA Assumptions
1.2.5. Consequences

1.2.5.2.

Consequences of Non-Fixed Location Parameter

Location Estimate The usual estimate of location is the mean
from N measurements Y1, Y2, ... , YN.
Consequences of Non-Fixed Location If the run sequence plot does not support the assumption of fixed location, then
  1. The location may be drifting.
  2. The single location estimate may be meaningless (if the process is drifting).
  3. The choice of location estimator (e.g., the sample mean) may be incorrect (inefficient or noisy) and sub-optimal.
  4. The usual formula for the uncertainty of the mean:

    may be invalid and optimistically small.
  5. The location estimate may be incorrect.
  6. The location estimate may be biased.
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