Web-based Statistics Calculators for Teaching Introductory Statistics

Statistics calculations

The following pages perform basic statistics calculations from small data sets of comma separated values. These are useful for quick and easy in-class demonstrations. No special hardware or software is required.

• Descriptive statistics: Central tendency and dispersion
• Summation statistics
• Summation statistics for two variables
• Correlation and regression
• Binomial probability distribution generator
• One-sample z-test (also known as the normal deviate test)
• One-sample t-test
• Independent-samples t-test with effect size
• Dependent-samples t-test (also known as the related-samples t-test, paired t-test) with effect size
• Cohen's d effect size for t-tests from descriptive statistics
• One-way analysis of variance (ANOVA) with effect size
• Eta-squared effect size for one-way ANOVA from sums of squares
• Chi-squared: Goodness-of fit
• Chi-squared: Independence

Finding P-values and Critical Values

• Calculate exact p values for z-test, t-test, ANOVA, and chi-squared
• Standard normal curve table function
• t-test critical value table function
• Analysis of Variance (ANOVA) critical values
• Correlation coefficient critical values
• Chi-squared test critical values

Practice exercises

These provide novel data problems for students to solve by hand. The data is randomly generated. Answer feedback is revealed when the student's are ready to see the answer.

• Practice rounding to the nearest whole number
• Practice rounding to the nearest hundreth point after the decimal
• Practice summation for a single variable
• Practice summation for two variables
• Practice central tendency: Mean, median, and mode
• Practice dispersion: Variance and standard deviation
• Practice correlation: Pearson's r
• Practice regression: Slope and Y-intercept
• Practice simple probability
• Practice z-test decisions with critical values
• Practice z-test decisions with p values
• Practice the independent-samples t-test
• Practice making decisions from p values
• Practice the dependent-samples t-test (AKA related-samples or paired t-test)
• Practice the chi-squared goodness-of-fit test

Random Data Practice Excercises

These examples are based on random data to illustrate what correlation and statistical tests might be like under null hypothesis conditions.

• Correlation coefficients based on random data
• Independent-samples t-test based on random data

Educational Usage

These calculators were created by Gary Fisk for statistics instruction. These are provided for free: no cost (free beer) and liberty (free reuse). These license is a Creative Commons Attribution 4.0 International License that allows sharing, adapting, and remixing. This is an open educational resource (OER). These calculators are designed for beginner-level classroom exercises, not professional-level scientific research. No guarantee of accuracy is given.

This WebStatsCalculators file has all of the above pages and associated files for easy download and sharing. The files must be kept together in the same folder because some files are linked together. People who reuse these files should aim to host the files on their own learning management site.

Last update: July 16, 2024