Confidence intervals for the difference between two means

Area specific confidence intervals for a small area mean under the Fay-Herriot model

‎Small area estimates have received much attention from both private and public sectors due to the growing demand for effective planning of health services‎, ‎apportioning of government funds and policy and decision making‎. ‎Surveys are generally designed to give representative estimates at national or district level‎, ‎but estimates of variables of interest are oft...

Confidence Intervals for Mean and Difference of Means of Normal Distributions with Unknown Coefficients of Variation

This paper proposes confidence intervals for a single mean and difference of two means of normal distributions with unknown coefficients of variation (CVs). The generalized confidence interval (GCI) approach and large sample (LS) approach were proposed to construct confidence intervals for the single normal mean with unknown CV. These confidence intervals were compared with existing confidence ...

On The Misuse Of Confidence Intervals For Two Means In Testing For The Significance Of The Difference Between The Means

Confidence Intervals for Lower Quantiles Based on Two-Sample Scheme

In this paper, a new two-sampling scheme is proposed to construct appropriate confidence intervals for the lower population quantiles. The confidence intervals are determined in the parametric and nonparametric set up and the optimality problem is discussed in each case. Finally, the proposed procedure is illustrated via a real data set. 

Confidence Intervals for the Power of Two-Sided Student’s t-test

For the power of two-sided hypothesis testing about the mean of a normal population, we derive a 100(1 − alpha)% confidence interval. Then by using a numerical method we will find a shortest confidence interval and consider some special cases.