What is the Usefulness of Frequentist Confidence Intervals?

TL;DR

This paper explores the significance, objectivity, and practical utility of frequentist confidence intervals, addressing key questions about their interpretation, coverage, and how to derive meaningful insights from experimental data.

Contribution

It provides a critical discussion on the conceptual foundations and practical implications of confidence intervals in statistical inference.

Findings

Confidence intervals are central to statistical inference.

Coverage probability is crucial for the interpretation of confidence intervals.

The choice of confidence level should be independent of data knowledge.

Abstract

The following questions are discussed: ``Why confidence intervals are a hot topic?''; ``Are confidence intervals objective?''; ``What is the usefulness of coverage?''; ``How to obtain useful information from experiment?''; ``The confidence level must be chosen independently from the knowledge of the data?''.