Anything beyond histograms (
e.g. significance of trends etc.) needs to deal with this somehow and it gets complicated fast.
Not exact matches
Our experience is that starting a
trend in a relatively low point
of a slowly fluctuating time series can sometimes lead to findings
of statistical
significance which don't hold up as the record is further extended (
e.g. extended further back in time or new years added on the end).
The very high
significance levels
of model - observation discrepancies in LT and MT
trends that were obtained in some studies (
e.g., Douglass et al., 2008; McKitrick et al., 2010) thus arose to a substantial degree from using the standard error
of the model ensemble mean as a measure
of uncertainty, instead
of the standard deviation or some other appropriate measure
of ensemble spread.
The very high
significance levels
of model — observation discrepancies in LT and MT
trends that were obtained in some studies (
e.g., Douglass et al., 2008; McKitrick et al., 2010) thus arose to a substantial degree from using the standard error
of the model ensemble mean as a measure
of uncertainty, instead
of the ensemble standard deviation or some other appropriate measure for uncertainty arising from internal climate variability... Nevertheless, almost all model ensemble members show a warming
trend in both LT and MT larger than observational estimates (McKitrick et al., 2010; Po - Chedley and Fu, 2012; Santer et al., 2013).