Contingency Table Chi-Square, Fisher Exact, and Cramér’s V Tutor: A Field Guide to Hypothesis Testing When Cells Are Small, Categories Are Many, and ‘Significant’ Is Only Half the Story

When Pearson chi-square, Yates continuity correction, the G likelihood-ratio test, and Fisher's exact test all answer the same question with different assumptions, you need more than a single number to make a defensible inference. This field guide walks through the eight decisions — test choice, Yates vs no-Yates, Fisher for small samples, G as likelihood ratio, effect sizes via Cramer V / phi / C, adjusted residuals with BH-FDR multiplicity, Cochran expected-count rule, and Chapman capture-recapture on 2x2 mark-recapture tables — that the Contingency Table Chi-Square, Fisher Exact, and Cramer V Tutor surfaces side by side on every 2x2 or RxC table you paste in.

BOM Character Remover Field Guide: When Three Invisible Bytes, Four Output Modes, and One Detection Choice Decide Whether Your CSV Joins Cleanly or Your JSON Parser Explodes

A 3-byte UTF-8 BOM (EF BB BF), a 2-byte UTF-16 BOM (FE FF or FF FE), or a 4-byte UTF-32 BOM can quietly break CSV imports, JSON.parse, and XML parsers. This field guide walks through the BOM Character Remover tool's eight decisions: detecting all four BOM families, picking the right detection mode, showing bytes in hex view, choosing between Cleaned Text / Detailed Report / Hex View / JSON Analysis outputs, and applying the right recipe for CSV / JSON / XML / API / batch data flows.