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CHISQ.INV.RT Function (LibreOffice Calc)

Statistical Intermediate LibreOffice Calc LibreOffice 4.0

The CHISQ.INV.RT function returns the inverse of the right‑tailed chi-square distribution. It is used to compute critical values for hypothesis testing, goodness‑of‑fit tests, and statistical modeling.

Verification status: Consult the documentation and examples below. Native application testing has not been documented for this guide. How formula examples are checked

The **CHISQ.INV.RT** function returns the **critical value** of the chi-square distribution for a given **right‑tail probability**. It is the modern replacement for the legacy CHIINV function and is essential for hypothesis testing, goodness‑of‑fit analysis, and statistical modeling.

What the CHISQ.INV.RT Function Does

  • Computes the inverse of the right‑tailed chi-square distribution
  • Returns the critical chi-square value for hypothesis testing
  • Modern, standards‑compliant replacement for CHIINV
  • Used in model evaluation, variance tests, and confidence intervals

Syntax

CHISQ.INV.RT(probability; degrees_freedom)

Arguments

  • probability:
    Right‑tail probability (0 < p < 1).

  • degrees_freedom:
    Degrees of freedom (must be ≥ 1).

Basic Examples

Right‑tail critical value

=CHISQ.INV.RT(0.05; 10)
→ 18.307

Using cell references

=CHISQ.INV.RT(A1; B1)

Compare with left‑tail inverse

=CHISQ.INV(0.95; 10)

Compare with legacy function

=CHIINV(0.05; 10)

Advanced Examples

Two‑tailed chi-square test

Upper tail:

=CHISQ.INV.RT(0.025; df)

Lower tail:

=CHISQ.INV(0.975; df)

Validate with CHISQ.DIST.RT

=CHISQ.DIST.RT(CHISQ.INV.RT(p; df); df)
→ returns p

Use in confidence interval calculations

=Variance * CHISQ.INV.RT(0.025; df)

Use in Monte Carlo simulations

=CHISQ.INV.RT(RAND(); df)

Edge Cases and Behavior Details

CHISQ.INV.RT returns a positive real number

Accepts:

  • 0 < probability < 1
  • degrees_freedom ≥ 1

Behavior details

  • Right‑tail only
  • Not symmetric
  • Uses gamma‑function internally
  • Replaces legacy CHIINV for right‑tail calculations

Invalid input → Err:502

CHISQ.INV.RT of an error → error propagates

Common Errors and Fixes

Err:502 — Invalid argument

Cause:

  • probability ≤ 0 or ≥ 1
  • degrees_freedom < 1
  • Non-numeric input

Fix:

  • Ensure 0 < p < 1
  • Validate df ≥ 1
  • Convert text with VALUE

Unexpected critical values

Cause:

  • Confusing left‑tail vs right‑tail

Fix:

  • Use CHISQ.INV.RT for right‑tail
  • Use CHISQ.INV for left‑tail

Best Practices

  • Use CHISQ.INV.RT for right‑tail critical values
  • Use CHISQ.INV for left‑tail
  • Validate probability inputs carefully
  • Use CHISQ.TEST for full hypothesis testing
  • Use CHISQ.DIST.RT for probability calculations
CHISQ.INV.RT is essential for computing right‑tail chi-square critical values — a cornerstone of hypothesis testing and model evaluation.
  • CHISQ.INV — left‑tail inverse
  • CHISQ.DIST.RT — right‑tail probability
  • CHISQ.DIST — left‑tail probability
  • CHISQ.TEST — full chi-square test
  • GAMMA / GAMMALN — underlying math

By mastering CHISQ.INV.RT, you can compute accurate chi-square critical values for any statistical model or hypothesis test in LibreOffice Calc.