• Skip to secondary menu
  • Skip to main content
  • Skip to primary sidebar
  • My Store
  • Glossary
  • Home
  • About Me
  • Contact Me

Statistics By Jim

Making statistics intuitive

  • Graphs
  • Basics
  • Hypothesis Testing
  • Regression
  • ANOVA
  • Probability
  • Time Series
  • Fun
  • Calculators

Blog

P-Value Calculator

By Jim Frost Leave a Comment

Use this P-value calculator to compute exact tail probabilities for common test statistics. This calculator supports Z-scores, t-scores, chi-square (χ²), and F-scores. To use it, select your test statistic from the dropdown menu. Then, enter your degrees of freedom (if required) and observed test statistic value. Click Calculate to see the result. [Read more…] about P-Value Calculator

Filed Under: Calculators

T Test Calculator

By Jim Frost Leave a Comment

Use this T Test Calculator to perform a 1-sample, 2-sample, or paired t-test and assess your sample means. All these t-test calculator will find p-values and construction confidence intervals. Just scroll down to find the t-test you need and click to expand it. Simply enter your data into the table. Or copy and paste from a spreadsheet and the table will add rows as needed. You can enter up to 300 data rows, and the calculator automatically ignores incomplete or invalid rows. The editable headers are used in the statistical results. [Read more…] about T Test Calculator

Filed Under: Calculators

Chi-Square Calculator

By Jim Frost Leave a Comment

Use this chi-square calculator to test relationships between categorical variables. It computes the Pearson’s chi-square statistic by comparing your observed counts to the values you would expect if there were no association between categories. The results include the overall χ² value, degrees of freedom, p-value, and an APA-style results format for publications. [Read more…] about Chi-Square Calculator

Filed Under: Calculators

Percentile Calculator

By Jim Frost Leave a Comment

Use this percentile calculator to find a specific percentile in your dataset and its quartiles. It also displays a table with the 10th, 25th, 50th, 75th, and 90th percentiles so you can gauge your data’s distribution at a glance. [Read more…] about Percentile Calculator

Filed Under: Calculators

Percent Error Calculator

By Jim Frost Leave a Comment

The Percent Error Calculator determines how accurate a measurement is by comparing an observed value to a true value. It calculates the absolute difference relative to the true value and expresses it as percent error. For example, measuring 8.5 when the true value is 10 yields a 15% error. [Read more…] about Percent Error Calculator

Filed Under: Calculators

Percentage Change Calculator

By Jim Frost Leave a Comment

The Percentage Change Calculator quantifies how much one value changes relative to another. It expresses the result as a percent increase or decrease from the initial value. For example, going from 5 books to 10 books represents a 100% increase. Conversely, going from 10 books to 5 represents a 50% decrease. [Read more…] about Percentage Change Calculator

Filed Under: Calculators

Variance Calculator

By Jim Frost Leave a Comment

This variance calculator makes it easy to measure how spread out your data are. Just enter your numbers in the text box, separated by commas or spaces. Then choose whether you want to calculate the sample variance or the population variance. [Read more…] about Variance Calculator

Filed Under: Calculators

Permutation Calculator

By Jim Frost Leave a Comment

This permutation calculator finds the number of ways to arrange a sample of items from a larger set when the order matters. Enter the total number of objects (n) and the number of items in your arrangement (r). For example, the permutations calculator can tell you how many ways you can arrange 4 books from a shelf of 10 books. If the order items in the sample does NOT matter, use the Combination Calculator instead. [Read more…] about Permutation Calculator

Filed Under: Calculators

Combination Calculator

By Jim Frost Leave a Comment

This combination calculator finds the number of ways to choose a sample of items from a larger set when order does not matter. Enter the total number of objects (n) and the number of items in your sample (r). For example, the combination calculator can tell you how many ways you can choose 4 books from a shelf of 10 books. If the order items in the sample does matter, use the Permutation Calculator instead. [Read more…] about Combination Calculator

Filed Under: Calculators

Correlation Coefficient Calculator

By Jim Frost Leave a Comment

This correlation coefficient calculator measures the strength and direction of a linear relationship between two variables. Simply enter paired data into the table. Or copy and paste from a spreadsheet and the table will add rows as needed. You can enter up to 300 data rows, and the calculator will automatically ignore incomplete or invalid rows. The editable headers are used for the axis labels in the graph. [Read more…] about Correlation Coefficient Calculator

Filed Under: Calculators

Poisson Distribution Calculator

By Jim Frost Leave a Comment

This Poisson distribution calculator finds the probability of a specific number of events occurring within a fixed interval of time or space, based on a known average rate. Just enter the average rate (λ) and the number of events you’re interested in (x). For example, the Poisson distribution calculator can tell you the probability of receiving 3 emails in an hour if you typically receive 5 emails per hour. [Read more…] about Poisson Distribution Calculator

Filed Under: Calculators

Binomial Distribution Calculator

By Jim Frost Leave a Comment

Use this binomial distribution calculator to find the probability of a specific number of events occurring in a fixed number of trials. Just enter the probability of a single event (p), the number of trials (n), and the number of events you’re interested in (x). For example, the binomial distribution calculator can tell you the probability of getting 5 heads in 6 coin tosses. [Read more…] about Binomial Distribution Calculator

Filed Under: Calculators

Confidence Interval Calculator

By Jim Frost Leave a Comment

This confidence interval calculator finds the confidence interval for the mean–just enter several summary values and choose the method. Below the calculator are additional instructions and examples for using it. [Read more…] about Confidence Interval Calculator

Filed Under: Calculators

Mean Median Mode Calculator

By Jim Frost Leave a Comment

This mean, median, and mode calculator makes it easy to find the center of your data. Just enter your numbers in the text box, separated by commas or spaces. [Read more…] about Mean Median Mode Calculator

Filed Under: Calculators

Standard Deviation Calculator

By Jim Frost Leave a Comment

This standard deviation calculator makes it easy to measure how spread out your data are. Just enter your numbers in the text box, separated by commas or spaces. Then choose whether you want to calculate the sample standard deviation or the population standard deviation. [Read more…] about Standard Deviation Calculator

Filed Under: Calculators

Z-Score Calculators

By Jim Frost Leave a Comment

This page has two interactive Z-score calculators. The first calculator computes a Z-score based on your observed value, the mean, and the standard deviation. The second uses a Z-score to find the probability of various ranges under the standard normal distribution. See all my Statistical Calculators! [Read more…] about Z-Score Calculators

Filed Under: Calculators

Weighted Least Squares (WLS) Explained

By Jim Frost Leave a Comment

What is Weighted Least Squares (WLS)?

Weighted least squares (WLS) is a type of linear regression that assigns different weights to each data point when fitting the model. Instead of minimizing the simple residual sum of squares as ordinary least squares (OLS) does, WLS minimizes the weighted (wi) sum of squared residuals as the summation symbol below indicates:

Weighted least squares formula for minimizing the sum of the weighted residuals.

[Read more…] about Weighted Least Squares (WLS) Explained

Filed Under: Regression Tagged With: choosing analysis

Sensitivity vs Specificity: Definition, Formulas & Interpreting

By Jim Frost Leave a Comment

Sensitivity and specificity are two key metrics used to evaluate the performance of diagnostic tests or classification systems in statistics, medicine, and machine learning. These measures assess the intrinsic capabilities of a test. [Read more…] about Sensitivity vs Specificity: Definition, Formulas & Interpreting

Filed Under: Basics Tagged With: analysis example, conceptual, formula, interpreting results, test accuracy

Marginal Probability: Definition, Formula & Examples

By Jim Frost Leave a Comment

What Is Marginal Probability?

Marginal probability is the chance that an event will happen without considering other variables. Statisticians write this as p(A), denoting the probability of event A. You can think of it as an unconditional probability. It tells you how likely something will happen on its own, independently of other variables. [Read more…] about Marginal Probability: Definition, Formula & Examples

Filed Under: Probability Tagged With: analysis example, choosing analysis, formula

Latin Square Design in Experiments Explained

By Jim Frost Leave a Comment

What Is a Latin Square Design?

A Latin square is an experimental design that tests multiple treatments while controlling for two sources of unwanted variation, known as nuisance variables. These nuisance variables are factors that you are not studying directly but could affect the outcome of your experiment if left uncontrolled. [Read more…] about Latin Square Design in Experiments Explained

Filed Under: Basics Tagged With: experimental design

  • « Go to Previous Page
  • Page 1
  • Page 2
  • Page 3
  • Page 4
  • Interim pages omitted …
  • Page 22
  • Go to Next Page »

Primary Sidebar

Meet Jim

I’ll help you intuitively understand statistics by focusing on concepts and using plain English so you can concentrate on understanding your results.

Read More...

Buy My Introduction to Statistics Book!

Cover of my Introduction to Statistics: An Intuitive Guide ebook.

Buy My Hypothesis Testing Book!

Cover image of my Hypothesis Testing: An Intuitive Guide ebook.

Buy My Regression Book!

Cover for my ebook, Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models.

Subscribe by Email

Enter your email address to receive notifications of new posts by email.

    I won't send you spam. Unsubscribe at any time.

    Buy My Thinking Analytically Book!

    Cover for my book, Thinking Analytically: An Guide for Making Data-Driven Decisions.

    Top Posts

    • F-table
    • Z-table
    • Cronbach’s Alpha: Definition, Calculations & Example
    • How To Interpret R-squared in Regression Analysis
    • Reliability vs Validity: Differences & Examples
    • Box Plot Explained with Examples
    • How to Interpret P-values and Coefficients in Regression Analysis
    • Interpreting Correlation Coefficients
    • Multicollinearity in Regression Analysis: Problems, Detection, and Solutions
    • Standard Deviation: Interpretations and Calculations

    Recent Posts

    • Data Collection Methods: Step-By-Step Guide with Examples
    • ANOVA Calculator
    • Positive Predictive Value: Meaning, Formula, and Interpretation
    • Median Absolute Deviation Calculator
    • Median Absolute Deviation: Definition, Finding & Formula
    • Outlier Calculator

    Recent Comments

    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Jim Frost on Comparing Regression Lines with Hypothesis Tests
    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Jim Frost on Pareto Chart: Making, Reading & Examples

    Copyright © 2026 · Jim Frost · Privacy Policy