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

Snapshot of the Demonstration

Demonstration at the Wolfram Demonstrations Project

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

Technical Report (PDF format)

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

Snapshot of the Demonstration

Demonstration at the Wolfram Demonstrations Project

Mathematica source code

Technical Report (PDF format)