Fishers Exact with mid-P

Fishers Exact with mid-P performs independence testing on 2x2 contingency tables by applying Fisher's Exact Test with a mid-P adjustment, providing a more balanced perspective between traditional p-values and exact tests, particularly for small sample sizes or when distributional assumptions are not met.

Key Features:

• Statistical Rigor: Employs Fisher's Exact Test enhanced with a mid-P adjustment to refine significance testing in 2x2 contingency scenarios.
• Mid-P Adjustment: Adjusts the p-value calculation to mitigate biases inherent in the traditional Fisher's Exact Test.
• Application Scope: Applicable to comparative analyses of protein sequences, including studies of orthologous sequences and extremophile proteins across different environments.
• Data Visualization: Supports generation of visualization outputs that elucidate relationships within biological datasets and statistical results.
• Integration with Bioinformatics Tools: Complements tools such as the DeltaProt Toolbox by providing statistical validation for comparative analyses.
• Structural Information Utilization: Can be integrated with structural predictors such as SABLE to incorporate structural data into comparative studies.

Scientific Applications:

• Comparative Protein Analysis: Used in workflows like the DeltaProt Toolbox for comparative screening and study of extremophile proteins and orthologous sequences from diverse habitats.
• Genome Biology and Protein Studies: Applied where precise statistical analysis of small sample sizes or rare events is required in genome and protein research.
• Data Interpretation and Visualization: Facilitates interpretation of complex statistical results through visualization techniques in biological data analyses.

Methodology:

The method applies Fisher's Exact Test to 2x2 contingency tables together with a mid-P adjustment that modifies the p-value calculation to mitigate biases inherent in the traditional Fisher's Exact Test.