{ "category": "Statistical functions", "display_name": "CHISQ.DIST", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.CHISQ.DIST", "implementation_state": { "answer_bank": null, "detail": "Recorded: 5 workbook cells.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "matches", "state_label": "Matches every recorded Excel answer", "summary": "Matches all 5 recorded answers", "workbook_corpus": { "cells": 5, "matched": 5 } }, "implementations": [ { "commit": "9e1884369a678158dd82d3d74188daf986995e87", "flavour": "excel-compatibility-candidate", "language": "Rust", "name": "CalcFunc", "own_code": [ "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/distributions.rs#L112-L115", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/chi_f_t_family.rs#L37-L52", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/ported/chi_f_t_family.rs#L54-L81" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/distributions::nums", "ported/beta_gamma_stats_family::validate_gamma_shape", "ported/beta_gamma_stats_family::gamma_dist_kernel", "ported/chi_f_t_family::truncate_positive_integer", "ported/chi_f_t_family::validate_nonnegative_x", "ported/discrete_dist::finite", "ported/discrete_dist::expon_dist_kernel", "ported/excel_numeric::binary_with", "ported/excel_numeric::excel_expm1_internal", "ported/excel_numeric::excel_expm1_spilled", "ported/excel_numeric::expm1_internal_graph", "ported/excel_numeric::excel_x87_add", "ported/excel_numeric::excel_x87_sub", "ported/excel_numeric::excel_x87_mul", "ported/excel_numeric::excel_x87_temme_finish", "ported/excel_numeric::excel_x87_div", "ported/excel_numeric/x87::mul", "ported/excel_numeric/x87::add", "ported/excel_numeric/x87::sub", "ported/excel_numeric/x87::div", "ported/excel_numeric/x87_chains::pow2_positive", "ported/excel_numeric/x87_chains::pow2", "ported/excel_numeric/x87_chains::exp_ext", "ported/excel_numeric/x87_chains::exp_with", "ported/excel_numeric/x87_chains::excel_exp", "ported/excel_numeric/x87_chains::log_with", "ported/excel_numeric/x87_chains::excel_log", "ported/normal_dist_common::stored_horner", "ported/normal_dist_common::erf_approx", "ported/normal_dist_common::erfc_upper", "ported/special_dist_family::erf_precise_kernel", "ported/special_math_common::ln_gamma", "ported/special_math_common::gamma", "ported/special_math_common::gratio_norm_gamma", "ported/special_math_common::gratio_rexp", "ported/special_math_common::gratio_rlog", "ported/special_math_common::gratio_gam1", "ported/special_math_common::gratio", "ported/special_math_common::series_prefactor", "ported/special_math_common::gratio_after40", "ported/special_math_common::gratio_cf", "ported/special_math_common::gratio_temme_270", "ported/special_math_common::gratio_temme_340", "ported/special_math_common::gratio_temme_330", "ported/special_math_common::gratio_temme_finish", "ported/special_math_common::regularized_gamma_p" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/distributions.rs#L112-L115", "state": "matches", "suite": null, "summary": "Matches all 5 recorded answers" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.CHISQ.DIST.json", "name": "CHISQ.DIST", "notes": [], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\n[CHISQ.INV](FUNC.CHISQ.INV.md) inverts the corresponding probability. [CHISQ.TEST](FUNC.CHISQ.TEST.md) computes a test probability from observed and expected counts.\n\n\n", "how-to-implement": "\nFor the cumulative branch the current kernel calls the gamma CDF at shape `df/2`, scale two. Its df=1 route is ERF.PRECISE of `sqrt(x/2)`; its df=2 route uses the exponential CDF. For a density at positive x the mathematical expression is `x^(df/2-1)*exp(-x/2)/(2^(df/2)*Gamma(df/2))`; handle x=0 limits explicitly. The worked df=2 value follows from `x/2=1`. The numerical outline is an implementation route, not an identification of every Excel approximation or return-rounding stage. The current problem-functions report retains unresolved distribution mismatches.\n\n\n", "quirks": "\nDegrees of freedom are truncated. Negative x and an admitted degree count below one or above `10^10` give `#NUM!` in the current shared family. Nonnumeric arguments give `#VALUE!`. A density is not the probability of the exact input value; use a CDF difference for an interval.\n\n\n", "sources": "\n- [Microsoft: CHISQ.DIST function](https://support.microsoft.com/en-us/excel/functions/chisq-dist-function), opened 6 November 2026; syntax, documented argument rules and errors.\n- [DnaCalc implementation](https://github.com/DnaCalc/DnaCalc/blob/da3ecc4fb19a3a5529708c311d0e8f05688ac165/crates/calc-func/src/ported/chi_f_t_family.rs); implementation steps and the limits identified in the text.\n\n", "try-it": "\n`=CHISQ.DIST(2,2,TRUE)` is about `0.632120558828558`. At two degrees of freedom the right tail is `exp(-x/2)`. The CDF is its mathematical complement, while density at x=2 is about `0.183939720585721`.\n\n\n", "version-differences": "\nNo same-input comparison between named Excel builds is recorded for this function here. The documented behaviour below is not a measurement of every Excel release.\n\n\n", "what-it-does": "\n`CHISQ.DIST(x, deg_freedom, cumulative)` returns a chi-square CDF when cumulative is TRUE, or its density when FALSE.\n\n\n" }, "signature": { "display": "CHISQ.DIST(x, deg_freedom, cumulative)", "parameters": [ { "description": null, "name": "x", "optional": false, "repeats": false }, { "description": null, "name": "deg_freedom", "optional": false, "repeats": false }, { "description": null, "name": "cumulative", "optional": false, "repeats": false } ], "trailing_repeats": false }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 3, "min": 3 }, "category": "Statistical functions", "classification": { "arg_preparation_profile": "ValuesOnlyPreAdapter", "coercion_lift_profile": "Custom", "determinism_class": "Deterministic", "error_collapse_profile": "None", "fec_dependency_profile": "None", "host_interaction_class": "None", "kernel_signature_class": "Custom", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "RefOnly", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "Chi-squared distribution: the density or the left-tail probability", "short_source": "dna-calc-own" }, "docs": { "english_description": "Returns the cumulative beta probability density function", "microsoft_url": "https://support.microsoft.com/en-us/office/chisq-dist-function-8486b05e-5c05-4942-a9ea-f6b341518732" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "CHISQ.DIST" }, { "locale": "bg-BG", "name": "CHISQ.DIST" }, { "locale": "cs-CZ", "name": "CHISQ.DIST" }, { "locale": "da-DK", "name": "CHI2.FORDELING" }, { "locale": "de-DE", "name": "CHISQ.DIST" }, { "locale": "el-GR", "name": "CHISQ.DIST" }, { "locale": "en-AU", "name": "CHISQ.DIST" }, { "locale": "en-GB", "name": "CHISQ.DIST" }, { "locale": "en-US", "name": "CHISQ.DIST" }, { "locale": "es-ES", "name": "DISTR.CHICUAD" }, { "locale": "et-EE", "name": "CHISQ.DIST" }, { "locale": "fi-FI", "name": "CHINELIÖ.JAKAUMA" }, { "locale": "fr-FR", "name": "LOI.KHIDEUX.N*" }, { "locale": "he-IL", "name": "CHISQ.DIST" }, { "locale": "hr-HR", "name": "CHISQ.DIST" }, { "locale": "hu-HU", "name": "KHINÉGYZET.ELOSZLÁS" }, { "locale": "id-ID", "name": "CHISQ.DIST" }, { "locale": "it-IT", "name": "CHISQ.DIST" }, { "locale": "ja-JP", "name": "CHISQ.DIST" }, { "locale": "ko-KR", "name": "CHISQ.DIST" }, { "locale": "lt-LT", "name": "CHISQ.DIST" }, { "locale": "lv-LV", "name": "CHISQ.DIST" }, { "locale": "nb-NO", "name": "CHISQ.DIST" }, { "locale": "nl-NL", "name": "CHIKW.VERD" }, { "locale": "pl-PL", "name": "ROZKŁ.CHI" }, { "locale": "pt-BR", "name": "CHISQ.DIST" }, { "locale": "pt-PT", "name": "DIST.CHIQ" }, { "locale": "ro-RO", "name": "CHISQ.DIST" }, { "locale": "ru-RU", "name": "ХИ2.РАСП" }, { "locale": "sk-SK", "name": "CHISQ.DIST" }, { "locale": "sl-SI", "name": "CHISQ.DIST" }, { "locale": "sr-Latn-RS", "name": "CHISQ.DIST" }, { "locale": "sv-SE", "name": "CHI2.FÖRD" }, { "locale": "th-TH", "name": "CHISQ.DIST" }, { "locale": "tr-TR", "name": "KİKARE.DAĞ" }, { "locale": "uk-UA", "name": "CHISQ.DIST" }, { "locale": "vi-VN", "name": "CHISQ.DIST" }, { "locale": "zh-CN", "name": "CHISQ.DIST" }, { "locale": "zh-HK", "name": "CHISQ.DIST" }, { "locale": "zh-TW", "name": "CHISQ.DIST" } ], "signature": { "display": "CHISQ.DIST(x, deg_freedom, cumulative)", "parameters": [ { "description": null, "name": "x", "optional": false, "repeats": false }, { "description": null, "name": "deg_freedom", "optional": false, "repeats": false }, { "description": null, "name": "cumulative", "optional": false, "repeats": false } ], "trailing_repeats": false }, "surface_name": "CHISQ.DIST", "version_marker": null, "xlcall": { "code": "527", "symbol": "xlfChisq_dist" } }, "microsoft": "https://support.microsoft.com/en-us/office/chisq-dist-function-8486b05e-5c05-4942-a9ea-f6b341518732" }, "try_it": { "formula": "=CHISQ.DIST(2,2,TRUE)" }, "url": "https://handbook.dnacalc.com/functions/CHISQ.DIST.html", "variants": [], "versions": [] }