I think you missed my point entirely.
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Originally Posted by Citrus Dad
The standard errors for the OPR values can be computed...
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Yes, they can be computed, but that doesn't mean they are statistically valid. They are not, because the data does not conform to the necessary assumptions.
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...but they are in fact quite large relative to the parameter values.
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Yes they are, but they are also nearly all the same value... which is obviously incorrect... and a result of assumptions which the data does not meet.
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the statistical precision of the OPR values are really quite poor because there are so few observations, which are in fact not independent.
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Lack of independence is only one of the assumptions which the data do not meet.
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Rather than ignoring the SEs because they show how poor the OPR estimators are performing...
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They are not being ignored "because they show how poor the OPR estimators are performing"; they are not being reported because they are invalid and misleading.
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the SEs should be reported to show how poorly the estimators perform for everyone's consideration.
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There are better metrics to report to show how poorly the estimators perform.