211. **One-sided confidence interval : **When T is a function of the observed values, such that q being a population parameter to be estimated, the probability Pr (T * q) or the probability Pr ( T > q) is equal to 1- a (where 1-a is a fixed number, positive and less than 1). The interval from the smallest possible value of q up to T, or the interval between T and the greatest possible value of q is a one- sided (1-q) confidence interval for q. The limit T of the confidence interval is a random variable and as such will assume different values in every sample. In a long series of samples, the relative frequency of cases where the interval includes q would be approximately equal to 1-a. |