# 統計分布函數

統計分佈函數會傳回既定輸入變數出現可能的不同結果的機率。您可以使用這些函數來計算資料點的可能值。

以下所述的三個統計分佈函數群組皆使用 Cephes 函數物件庫實作於 Qlik Sense。如需所使用演算法、準確性等的參考和詳細資料，請參考：[Cephes library](http://www.netlib.org/cephes/)。Cephes 函數物件庫已獲授權使用。

* 機率函數可計算由所提供的值提出的分佈中的點的機率。

  * 頻率函數可用於離散分佈。

  * 密度函數可用於連續函數。

* Dist 函數可計算由所提供的值提出的分佈中的點的分佈的累積機率。

* Inv 函數可計算相反值 (既定的分佈累績機率)。

所有函數皆可用於資料載入指令碼和圖表運算式。

使用每個函數中的下拉式功能表，以查看每個函數的簡要描述及語法。按一下語法描述中的函數名稱，以取得進一步詳細資料。

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BetaDensity

`BetaDensity()` 傳回 Beta 機率分佈。

[**BetaDensity**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BetaDensity.htm)(value, alpha, beta)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BetaDist

`BetaDist()` 傳回累積的 Beta 機率分佈。

[**BetaDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BetaDist.htm)(value, alpha, beta)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BetaInv

`BetaINV()` 傳回累積的 Beta 逆機率分佈。

[**BetaInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BetaInv.htm)(prob, alpha, beta)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BinomDist

`BinomDist()` 傳回累積的二項式機率分佈。

[**BinomDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BinomDist.htm)(value, trials, trial\_probability)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BinomFrequency

`BinomFrequency()` 傳回二項式機率分佈。

[**BinomFrequency**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BinomFrequency.htm)(value, trials, trial\_probability)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### BinomInv

`BinomInv()` 傳回累積的二項式逆機率分佈。

[**BinomInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/BinomInv.htm)(prob, trials, trial\_probability)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### ChiDensity

`ChiDensity()` 會傳回 chi^2^ 分佈的單尾機率。chi^2^ 密度函數與 chi^2^ 測試相關聯。

[**ChiDensity**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/ChiDensity.htm)(value, degrees\_freedom)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### ChiDist

`ChiDist()` 會傳回 chi^2^ 分佈的單尾機率。chi^2^ 分佈與 chi^2^ 測試相關聯。

[**ChiDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/ChiDist.htm)(value, degrees\_freedom)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### ChiInv

`ChiInv()` 會傳回 chi^2^ 分佈的逆單尾機率。

[**ChiInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/ChiInv.htm)(prob, degrees\_freedom)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### FDensity

`FDensity()` 傳回 `F` 機率分佈。

[**FDensity**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/FDensity.htm)(value, degrees\_freedom1, degrees\_freedom2)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### FDist

`FDist()` 傳回累積的 `F` 機率分佈。

[**FDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/FDist.htm)(value, degrees\_freedom1, degrees\_freedom2)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### FInv

`FInv()` 傳回累積的 `F` 逆機率分佈。

[**FInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/FInv.htm)(prob, degrees\_freedom1, degrees\_freedom2)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### GammaDensity

`GammaDensity()`傳回 Gamma 機率分佈。

[**GammaDensity**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/GammaDensity.htm)(value, k, θ)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### GammaDist

`GammaDist()` 傳回累積的 Gamma 機率分佈。

[**GammaDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/GammaDist.htm)(value, k, θ)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### GammaInv

`GammaInv()` 傳回累積的 Gamma 逆機率分佈。

[**GammaInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/GammaInv.htm)(prob, k, θ)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### NormDist

`NormDist()` 傳回指定平均數和標準差的累積常態分佈。如果 mean = 0 且 standard\_dev = 1，則此函數會傳回標準常態分佈。

[**NormDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/NormDist.htm)(value, mean, standard\_dev)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### NormInv

`NormInv()` 傳回指定平均數和標準差的逆累積常態分佈。

[**NormInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/NormInv.htm)(prob, mean, standard\_dev)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### PoissonDist

`PoissonDist()` 傳回累積的 Poisson 機率分佈。

[**PoissonDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/PoissonDist.htm)(value, mean)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### PoissonFrequency

`PoissonFrequency()` 傳回 Poisson 機率分佈。

[**PoissonFrequency**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/PoissonFrequency.htm)(value, mean)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### PoissonInv

`PoissonInv()` 傳回累積的 Poisson 逆機率分佈。

[**PoissonInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/PoissonInv.htm)(prob, mean)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### TDensity

`TDensity()` 傳回學生 `t` 密度函數的值，其中的數值是要運算機率的 `t` 計算值。

[**TDensity**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/TDensity.htm)(value, degrees\_freedom, tails)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### TDist

`TDist()` 傳回學生 `t` 分佈的機率，其中的數值是要計算機率的 `t` 計算值。

[**TDist**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/TDist.htm)(value, degrees\_freedom, tails)

[](https://help.qlik.com/en-US/sense/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/statistical-distribution-functions.htm)

#### TInv

`TInv()` 以機率和自由度的函數傳回學生 `t` 分佈的 `t` 值。

[**TInv**](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalDistributionFunctions/TInv.htm)(prob, degrees\_freedom)

## 瞭解更多資訊

* [統計彙總函數](https://help.qlik.com/zh-TW/sense/May2025/Subsystems/Hub/Content/Sense_Hub/Scripting/StatisticalAggregationFunctions/statistical-aggregation-functions.htm)