Digital Image Analysis using R-Project-based EBImage, randomForest, DT, and bslib - A Web app (R-Project-Shiny-based)

This digital image analysis has been developed using R-Project (4.6.1), RStudio 2026.08.1 Build 195. It is made using packages, including shiny, EBImage, randomForest, DT, and bslib. NOTE: Try to remain SLOW with the change in metrics using sliders as it may take large time to process the image. If it takes long, allow it to settle and start working after sometime. KEEP THE IMAGE BELOW 500 x 500 pixels.

Powered by Allaire, J., Sievert, C., Dervieux, C., Xie, Y., McPherson, J., Allen, A., Wickham, H., Atkins, A., & Hyndman, R. (2024). bslib: Custom Bootstrap 'Sass' Themes for 'shiny' and 'rmarkdown' (R package version 0.8.0) [Computer software]. https://CRAN.R-project.org/package=bslib Breiman, L., Cutler, A., Liaw, A., & Wiener, M. (2022). randomForest: Breiman and Cutler's Random Forests for Classification and Regression (R package version 4.7-1.1) [Computer software]. https://CRAN.R-project.org/package=randomForest Chang, W., Cheng, J., Allaire, J., Sievert, C., Schloerke, B., Xie, Y., Allen, A., McPherson, J., Dipert, A., & Borges, B. (2024). shiny: Web Application Framework for R (R package version 1.9.1) [Computer software]. https://CRAN.R-project.org/package=shiny Pau, G., Fuchs, F., Sklyar, O., Boutros, M., & Huber, W. (2010). EBImage—an R package for image processing with applications to cellular phenotypes. Bioinformatics, 26(7), 979–981. https://doi.org/10.1093/bioinformatics/btq046 Xie, Y., Cheng, J., & Tan, X. (2024). DT: A Wrapper of the JavaScript Library 'DataTables' (R package version 0.33) [Computer software]. https://CRAN.R-project.org/package=DT 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 Image Analysis Toolkit provided on this site is an open-source tool intended for exploratory image analysis. Users are encouraged to verify all results with primary software and experts before publication. The owner of JeePakistan.blogspot.com is not responsible for any research outcomes derived from this tool. ===========================

NOTE: Uploaded on 22/09/2026

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

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

Meta-Analysis, Causal Meta-analysis, and Model-Based Meta-analysis using R-Project-based Metafor, CausalMetaR, and MetaStan - A Web app (R-Project-Shiny-based)

This online calculator has been developed using R-Project (4.5.3), RStudio 2026.04.0 Build 526. It is made using packages, including shiny, shinydashboard, metafor, readr, DT, ggplot2, plotly, broom, rmarkdown, CausalMetaR, SuperLearner, and dplyr. Powered by Metafor R package: Viechtbauer, W. (2010). Conducting meta-analyses in R with the metafor package. Journal of Statistical Software, 36(3), 1-48. CausalMetaR package: Wang, G., McGrath, S., & Lian, Y. (2025). CausalMetaR: An R package for performing causally interpretable meta-analyses. Research Synthesis Methods, 16(2), 425-440. MetaStan R package: Guenhan, B. K., & Roever, C. (2018). MetaStan: Bayesian Meta-Analysis via 'Stan' - An R Package. https://doi.org/10.32614/CRAN.package.MetaStan 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

5. 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

===========================

NOTE: Updated on 25/04/2026

===========================

NOTE: Updated on 23/06/2026

1. Added an option to select Pre-calculated HR/OR/RR Data in the column mapping section.
2. Added an option for Prediction Intervals under effect size options.
3. Added an option for Hartung-Knapp Adjustment.
4. Added an option to conduct Publication Bias Tests using:
   • Egger’s weighted regression test
   • Begg’s rank correlation test
5. Added an option for Sensitivity Analysis (Leave-One-Out).

============================

NOTE: Updated on 02/09/2026

1. Added an option to work on Model-Based Meta-Analysis (MBMA) and Pairwise Meta-Analysis using MetaStan R Package.

GAMMALN Function in Microsoft Excel, and Online calculator (Excel-based)

Structural Equation Modeling (SEM) using R-Project-based Lavaan, 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 lavaan 0.6-19; Shiny; semPlot; shinethemes, and DT