CHISQ.INV.RT Function (LibreOffice Calc)
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.
Compatibility
▾| Excel | ✔ |
| Gnumeric | ✔ |
| Google_sheets | ✔ |
| Libreoffice | ✔ |
| Numbers | ✖ |
| Onlyoffice | ✔ |
| Openoffice | ✖ |
| Wps | ✔ |
| Zoho | ✔ |
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.
Related Patterns and Alternatives ▾
- 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.