Recently I found in RG the following answer (part of an …):
Omissis….
The confidence interval says that all possible estimates outside the interval are deemed statistically incompatible with the (certain) observed data. It stands for itself. It is a random interval (RI) that is derived from the probability distribution of the random variable (RV) that models the response and the sample size (observations are relalizations of the RV, observed confidence intervals are realizations of the RI, which is a function of the RV that returns two limits). A new sample would give a new confidence interval, and this will have different limits. It may not even overlap with the current confidence interval.
true , becuse we think it is not our resposibility , it is the staticain. the problem is inherited from our early teaching and learning of the research methodology and biostatistic. >>>>I suggest research methodology and biostatistic should be integrated early from the first university year .
Exactly, I often see people misunderstand the difference between confidence intervals and prediction intervals. It is because nowadays in most of the research fields especially in Engineering, people are adopting statistical tools with a shallow understanding.