CHIINV Function (LibreOffice Calc — Legacy)

Statistical Intermediate LibreOffice Calc Introduced in Legacy (Excel/Calc compatibility)
statistics chi-square inverse-distribution hypothesis-testing legacy-functions

The CHIINV function returns the inverse of the right‑tailed chi-square distribution. It is a legacy function preserved for compatibility with older spreadsheets and has been replaced by CHISQ.INV.RT.

Compatibility

What the CHIINV Function Does

  • Computes the inverse of the right‑tailed chi-square distribution
  • Returns the critical chi-square value for hypothesis testing
  • Equivalent to:
    CHISQ.INV.RT(probability; degrees)
  • Used in goodness‑of‑fit tests, variance tests, and statistical modeling

Syntax

CHIINV(probability; degrees_freedom)

Arguments

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

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

Basic Examples

Critical value for 5% right‑tail

=CHIINV(0.05; 10)
→ 18.307

Using cell references

=CHIINV(A1; B1)

Compare with modern function

=CHISQ.INV.RT(0.05; 10)

Advanced Examples

Compute a two‑tailed critical region

=CHIINV(0.025; df)   → upper tail  
=CHISQ.INV(0.025; df) → lower tail

Goodness‑of‑fit rejection threshold

=IF(TestStatistic > CHIINV(0.05; df); "Reject H0"; "Fail to Reject")

Convert from left‑tail probability

=CHIINV(1 - p; df)

Validate with CHIDIST

=CHIDIST(CHIINV(p; df); df)
→ returns p

Edge Cases and Behavior Details

CHIINV returns a positive real number

Accepts:

  • 0 < probability < 1
  • degrees_freedom ≥ 1

Behavior details

  • Right‑tail only
  • Not symmetric
  • Deprecated in favor of CHISQ.INV.RT
  • Uses internal gamma‑function approximations

Invalid input → Err:502

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

Best Practices

  • Prefer CHISQ.INV.RT for new spreadsheets
  • Use CHIINV only for legacy compatibility
  • Validate probability inputs carefully
  • Use CHISQ.TEST for full hypothesis testing
  • Use CHIDIST for right‑tail probabilities
CHIINV is essential for maintaining compatibility with older statistical spreadsheets, but modern models should use CHISQ.INV.RT for accuracy and clarity.

Related Patterns and Alternatives

  • CHISQ.INV.RT — modern right‑tail inverse
  • CHISQ.INV — left‑tail inverse
  • CHISQ.DIST.RT — right‑tail probability
  • CHISQ.TEST — full chi-square test
  • FDIST / T.INV — related distributions

By understanding CHIINV, you can maintain compatibility with legacy statistical workflows while transitioning to modern chi-square functions.

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