Difference Between Means Statistics

The mean difference is a measure of statistical dispersion between to means of two independent samples.

This app tests the hypothesis that the means, μ, of two samples are equal at some level of probability, p. The relevant statistic is the Student's t-test for the appropriate probability and degrees of freedom, df.

The critical value of the t-test for 5% probability at 30 degrees of freedom is shown as t(0.05, 30).

There are three assumptions imbedded in this test. First, the samples must be randomly generated. Second, the samples must be independently sampled meaning that the inclusion of one subject does not influence the probability of selecting any other member of the population. Third, the population variances, or standard deviations as input into this app, of the two samples, A and B, are presumed to be equal.


change in version 2.5
  • Updated to account for latest iOS
changes in version 2.3
  • New icon design
  • Updated to iOS 8
  • GUI changes
  • Added Facebook and Twitter links
change in version 2.1
  • Some minor GUI modifications and new logo
changes in version 2.0
  • Major rewrite and redesign for iOS 7
  • Bug fixes
change in version 1.3
  • Expanded screens to accommodate size of iPhone 5
  • Bug fixes

revised: August 7, 2020