## HCSL Publications

# Statistical Tools

### 1. Chatzimichail T, Hatjimihail AT. Exact Confidence Intervals for a Single Proportion. Wolfram Demonstrations Project, 2018.

#### Abstract

This Demonstration shows calculations of point estimations and confidence intervals for various single proportions of populations obeying a condition (or trait), as well as their plots versus *p*-value. This is done for differing populations obeying and violating a condition (or trait) and differing *p*-values for the estimation of the lower and upper bounds of the confidence intervals.

#### Comment

For calculating the confidence interval of each single proportion the exact method using the *F* distribution is applied.

Snapshot of the Demonstration

Demonstration at the Wolfram Demonstrations Project

Mathematica source code (Revised on 03/08/2018)

### 2. Chatzimichail T, Hatjimihail AT. Inferences about the Difference between Two Proportions. Wolfram Demonstrations Project, 2018.

#### Abstract

This Demonstration explores statistical inferences regarding the difference between two proportions of populations obeying a condition (or trait). It calculates the statistical significance and the confidence intervals for the difference and plots the confidence intervals versus *p*-value. This is done for differing populations obeying a condition or without the condition and for differing *p*-values for the estimation of the confidence intervals.

Snapshot of the Demonstration

Demonstration at the Wolfram Demonstrations Project

Mathematica source code