Added post-hoc table for residuals

[MAgojam]

Summary of Changes

This PR introduces a dedicated post-hoc residuals table (phoc) to complement the contingency table analyses.
Alongside the primary frequency tables and their associated statistics, the phoc table provides a richer diagnostic layer by presenting an array of residuals at the cell level.

Key Features:

• New phoc table: Adds a post-hoc overview of cell-level residuals (Unstandardized, Pearson, Standardized, and Adjusted).
• Residual Types:
  • Unstandardized: Raw differences between observed and expected counts.
  • Pearson: Residuals scaled by the square root of the expected values.
  • Standardized: Residuals further normalized to account for row and column distributions, facilitating clearer interpretation.
  • Adjusted: Residuals derived from a Poisson GLM, providing an additional layer of refinement by incorporating row and column effects.
• Integration: Computations are seamlessly integrated into the existing workflow. A chi-square test and a GLM fit are performed internally, and their results are then rendered in the phoc table.
• Enhanced Testing: The testconttables.R file has been updated with new tests, ensuring the accuracy and consistency of each residual type.

User Benefit:

This enhancement offers a deeper analytical perspective, enabling users to pinpoint meaningful discrepancies and interpret their contingency table results with greater clarity and nuance.

[raviselker]

Hi @MAgojam,
Awesome work, i think this will make a great addition to the contingency table analysis! Overall, I think this PR is already in a pretty good state, but I've added some comments on where I think improvements can be made. Thanks for your work!
Cheers,
Ravi

[MAgojam]

Hi @raviselker,

Thank you for your feedback on my PR. I've carefully reviewed your comments and have made the necessary adjustments. I've also conducted additional testing to ensure that the changes work as intended.

Please let me know if you would like me to provide any further details.

Regards,
Maurizio