Bayes' Theorem - Educational Content

Bayes' Theorem Visualizer

Understand how to revise predictions based on new data.

The Definition

Bayes' Theorem is a fundamental formula in probability that calculates the updated probability of an event (A) given new evidence (B). It relates the likelihood of the evidence to the prior belief.

P(A|B) =

P(B|A) ⋅ P(A) P(B)

Where:
P(A|B) The updated probability after seeing the evidence. Also called the result. is the Posterior,
P(B|A) The probability of seeing this evidence IF the hypothesis is true. is the Likelihood,
P(A) Your initial belief before seeing any new evidence. is the Prior, and
P(B) The total probability of the evidence occurring, regardless of whether the hypothesis is true or false. is the Evidence.

 Interactive Practice

Memorize the Formula

Try writing the theorem below to commit it to memory.

P(A|B) = [P(B|A) * P(A)] / P(B)

Bayesian Probability Interactive

Adjust sliders to see how evidence updates belief.

TP

FP

Final Probability P(H|E)

16.7%

Given a positive result, this is the chance it's actually true.

P(H) Prior 1% The "Prior" width: How common is the condition?

P(E|H) Sensitivity 99% The height of the Dark Blue box.

P(E|¬H) False Pos 5% The height of the Red box.

Animated Graph maker using R-Project-Shiny-based Packages

This animated graph maker has been developed using R-Project (4.4.1), RStudio 2025.09.1 Build 401. It is made using packages, including shiny, ggplot2, gganimate, gifski, av, dplyr, readr, shinycssloaders, gapminder, rlang, and shinyjs..

Check my other online advanced statistical tools here:

1. Structural Equation Modeling using Lavaan package in R - https://jeepakistan.blogspot.com/2025/07/structural-equation-modeling-sem-using.html

2. Meta-analysis using Odds Ratio (OR) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/06/meta-analysis-using-odds-ratio-or-in.html

3. Meta-analysis using Cohen's d in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-cohens-d-in.html

4. Meta-analysis using Correlation (r) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-correlation-r-in.html

5. Meta-Analysis using R-Project-based Metafor, and Online calculator (R-Project-Shiny-based) - https://jeepakistan.blogspot.com/2025/09/meta-analysis-using-r-project-based.html

6. Time Series Analyses using R-Project-based Packages, and Online calculator (R-Project-Shiny-based) - https://jeepakistan.blogspot.com/2025/10/time-series-analyses-using-r-project.html

 Welcome to this Physiology & Pharmacology Receptor Memory Game...

This game has been developed to help students memorize over 100 physiological and pharmacological receptors along with their related drugs (agonists or antagonists etc.).

In this game, you have to flip cards on the screen to match each receptor with its correct ligand or drug helping you in memorizing them through spaced repetition and adaptive learning.

You may either "Play All" which is the standard path to help you learn receptors and related drugs without getting overwhelmed, or you can select a specific category of receptors and memorize its receptors and related drugs. 

It has two phases to help you learn. Phase 1 relates to your exposure to only two pairs, and after completing Phase 1, you will go to Phase 2, where all pairs will appear. 

You may also select Smart Review mode in which only 8 pairs will appear that you may found difficult during your play. Your progress is saved in your computer's local storage, and this Smart Review will work on the Spaced Repetition Algorithm and brings forward only difficult pairs that you may found difficult to learn.

Note: Your feedback is important to eliminate/reduce any errors or mistakes in this game.  

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Physiology & Pharmacology Receptor Memory Game

Category: Play Smart Review

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Click on the cards to match receptor with its ligand/drug.

Time Series Analyses using R-Project-based Packages, and Online calculator (R-Project-Shiny-based)

This online calculator has been developed using R-Project (4.4.1), RStudio 2025.09.1 Build 401. It is made using packages, including shiny, shinydashboard, forecast, xts, rugarch, vars, tseries, ggplot2, plotly, zoo, tidyr, DT, shinycssloaders, and dplyr..

Check my other online advanced statistical tools here:

1. Structural Equation Modeling using Lavaan package in R - https://jeepakistan.blogspot.com/2025/07/structural-equation-modeling-sem-using.html

2. Meta-analysis using Odds Ratio (OR) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/06/meta-analysis-using-odds-ratio-or-in.html

3. Meta-analysis using Cohen's d in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-cohens-d-in.html

4. Meta-analysis using Correlation (r) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-correlation-r-in.html

5. Meta-Analysis using R-Project-based Metafor, and Online calculator (R-Project-Shiny-based) - https://jeepakistan.blogspot.com/2025/09/meta-analysis-using-r-project-based.html

Memorize over 170 chemical structures by practically drawing and using Spaced Repetition algorithm

 Please wait while the page uploads completely...

Chemical Structures SRS

Draw the structure, then rate your memory!

Choose a subject: All Subjects General Chemistry Organic Chemistry Biochemistry Common Drugs & Molecules A Level Chemistry O Level Chemistry Medicinal Chemistry Inorganic Chemistry Physical Chemistry Analytical Chemistry Olympiad Chemistry (IChO / IJSO) GRE Chemistry & University Level Advanced Chemistry (IUPAC / Professional)

All done for now! ✅

Come back later for new review items.

Meta-Analysis using R-Project-based Metafor, and Online calculator (R-Project-Shiny-based)

This online calculator has been developed using R-Project (4.4.1), RStudio 2025.05.0 Build 496. It is made using packages, including shiny, shinydashboard, metafor, readr, DT, ggplot2, plotly, broom, and rmarkdown.. Powered by the metafor R package: Viechtbauer, W. (2010). Conducting meta-analyses in R with the metafor package. Journal of Statistical Software, 36(3), 1-48. Terms of Use and Disclaimer: This tool is for educational purposes only. The author assumes no liability for inaccuracies or decisions made based on this output. No data is stored on our servers. The Meta-Analysis Toolkit provided on this site is an open-source tool intended for exploratory data analysis. Users are encouraged to verify all results with primary statistical software before publication. The owner of JeePakistan.blogspot.com is not responsible for any research outcomes derived from this tool.

Check my other online advanced statistical tools here:

1. Structural Equation Modeling using Lavaan package in R - https://jeepakistan.blogspot.com/2025/07/structural-equation-modeling-sem-using.html

2. Meta-analysis using Odds Ratio (OR) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/06/meta-analysis-using-odds-ratio-or-in.html

3. Meta-analysis using Cohen's d in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-cohens-d-in.html

4. Meta-analysis using Correlation (r) in Microsoft Excel - https://jeepakistan.blogspot.com/2025/05/meta-analysis-using-correlation-r-in.html

N5 JLPT - Practice writing Japanese Characters - Five at a time - Part 13

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