w-statistic
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A tool for statistical analysis.
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<h2><a href="index.html">Home</a></h2><h3>Classes</h3><ul><li><a href="w-statistic.html">w-statistic</a><ul class='methods'><li data-type='method'><a href="w-statistic.html#.arrAverage">arrAverage</a></li><li data-type='method'><a href="w-statistic.html#.arrAverageWithLogNormCI">arrAverageWithLogNormCI</a></li><li data-type='method'><a href="w-statistic.html#.arrAverageWithNormCI">arrAverageWithNormCI</a></li><li data-type='method'><a href="w-statistic.html#.arrCount">arrCount</a></li><li data-type='method'><a href="w-statistic.html#.arrGammaFit">arrGammaFit</a></li><li data-type='method'><a href="w-statistic.html#.arrGammaHist">arrGammaHist</a></li><li data-type='method'><a href="w-statistic.html#.arrGammaInv">arrGammaInv</a></li><li data-type='method'><a href="w-statistic.html#.arrGeometricAverage">arrGeometricAverage</a></li><li data-type='method'><a href="w-statistic.html#.arrGeometricStd">arrGeometricStd</a></li><li data-type='method'><a href="w-statistic.html#.arrLogNormHist">arrLogNormHist</a></li><li data-type='method'><a href="w-statistic.html#.arrLogNormInv">arrLogNormInv</a></li><li data-type='method'><a href="w-statistic.html#.arrMovingAverage">arrMovingAverage</a></li><li data-type='method'><a href="w-statistic.html#.arrNormHist">arrNormHist</a></li><li data-type='method'><a href="w-statistic.html#.arrNormInv">arrNormInv</a></li><li data-type='method'><a href="w-statistic.html#.arrQuartile">arrQuartile</a></li><li data-type='method'><a href="w-statistic.html#.arrStd">arrStd</a></li><li data-type='method'><a href="w-statistic.html#.bin">bin</a></li><li data-type='method'><a href="w-statistic.html#.histGen">histGen</a></li><li data-type='method'><a href="w-statistic.html#.regLine">regLine</a></li><li data-type='method'><a href="w-statistic.html#.regMpLine">regMpLine</a></li><li data-type='method'><a href="w-statistic.html#.regPoly">regPoly</a></li><li data-type='method'><a href="w-statistic.html#.regPower">regPower</a></li><li data-type='method'><a href="w-statistic.html#.sampleRandom">sampleRandom</a></li><li data-type='method'><a href="w-statistic.html#.studentTInv">studentTInv</a></li></ul></li></ul>
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<h1 class="page-title">w-statistic</h1>
<section>
<header>
<h2>
w-statistic
</h2>
</header>
<article>
<div class="container-overview">
<h4 class="name" id="w-statistic"><span class="type-signature"></span>new w-statistic<span class="signature">()</span><span class="type-signature"></span></h4>
<dl class="details">
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="-_class.mjs.html">_class.mjs</a>, <a href="-_class.mjs.html#line1">line 1</a>
</li></ul></dd>
</dl>
</div>
<h3 class="subsection-title">Methods</h3>
<h4 class="name" id=".arrAverage"><span class="type-signature type-signature-static">(static) </span>arrAverage<span class="signature">(arr)</span><span class="type-signature"> → {Number}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>計算陣列內有效數字之平均值</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrAverage.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrAverage.mjs.html">arrAverage.mjs</a>, <a href="arrAverage.mjs.html#line27">line 27</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>let arr
arr = ['abc', '-2.5', -2.5, '-1', -1, '-0.1', -0.1, '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(arrAverage(arr))
// => 1.5
arr = ['abc', '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(arrAverage(arr))
// => 3.3</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳平均值</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".arrAverageWithLogNormCI"><span class="type-signature type-signature-async, static">(async, static) </span>arrAverageWithLogNormCI<span class="signature">(arr, p, mode)</span><span class="type-signature"> → {Number}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>基於Student-T累加分布之信賴水準(p)以及指定左右單尾條件下，計算樣本平均值。Student-T需用於常態分佈樣本，故數據是取log後為常態分佈才能以此計算，而於取log後座標算出樣本平均值，會再取其指數(exp)值回傳。此時左尾代表樣本平均值可小於等於母數平均值，而右尾代表樣本平均值可大於等於母數平均值</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrAverageWithLogNormCI.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrAverageWithLogNormCI.mjs.html">arrAverageWithLogNormCI.mjs</a>, <a href="arrAverageWithLogNormCI.mjs.html#line67">line 67</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>async function test() {
let arr
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.95))
// => [ 27.615050054890812, 26.794611985184215 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.95, 'upper-tail'))
// => 41.610938902127394
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.95, 'lower-tail'))
// => 17.782212338746568
arr = [18.7261764705882, 18.6629411764705, 19.3983050847457, 18.5099999999999, 18.9986446886446, 18.9083937823834, 19.1957837837837, 19.0423529411764, 19.2320588235294, 18.8526470588235, 18.7982198952879, 19.0423529411764, 19.075, 18.945238095238, 20.6691240875912]
console.log(await arrAverageWithLogNormCI(arr, 0.95, 'upper-tail'))
// => 19.28628574730297
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.25))
// => [ 36.223415575653085, 20.42696800987406 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.5))
// => [ 32.05361593350904, 23.084277065874097 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithLogNormCI(arr, 0.75))
// => [ 29.373829998564737, 25.190264640613567 ]
arr = ['abc', '-2.5', -2.5, '-1', -1, '-0.1', -0.1, '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(await arrAverageWithLogNormCI(arr, 0.50))
// => [ 1.7639684225556826, 0.6249032382061773 ]
arr = ['abc', '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(await arrAverageWithLogNormCI(arr, 0.50))
// => [ 1.7639684225556826, 0.6249032382061773 ]
}
test()
.catch((err) => {
console.log(err)
})</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="default">
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
<tr>
<td class="name"><code>p</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
</td>
<td class="description last"><p>輸入信賴水準浮點數，需介於0至1之間</p></td>
</tr>
<tr>
<td class="name"><code>mode</code></td>
<td class="type">
<span class="param-type">String</span>
</td>
<td class="default">
<code>two-tailed</code>
</td>
<td class="description last"><p>輸入檢定模式字串，可選'two-tailed'、'upper-tail'、'lower-tail'，預設'two-tailed'</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳樣本平均值</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".arrAverageWithNormCI"><span class="type-signature type-signature-async, static">(async, static) </span>arrAverageWithNormCI<span class="signature">(arr, p, mode)</span><span class="type-signature"> → {Number}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>基於Student-T累加分布之信賴水準(p)以及指定左右單尾條件下，計算樣本平均值。Student-T需用於常態分佈樣本。此時左尾代表樣本平均值可小於等於母數平均值，而右尾代表樣本平均值可大於等於母數平均值</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrAverageWithNormCI.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrAverageWithNormCI.mjs.html">arrAverageWithNormCI.mjs</a>, <a href="arrAverageWithNormCI.mjs.html#line70">line 70</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>async function test() {
let arr
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.95))
// => [ 33.48954903620701, 32.87408732742935 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.95, 'upper-tail'))
// => 41.85625495776645
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.95, 'lower-tail'))
// => 24.507381405869904
arr = [18.7261764705882, 18.6629411764705, 19.3983050847457, 18.5099999999999, 18.9986446886446, 18.9083937823834, 19.1957837837837, 19.0423529411764, 19.2320588235294, 18.8526470588235, 18.7982198952879, 19.0423529411764, 19.075, 18.945238095238, 20.6691240875912]
console.log(await arrAverageWithNormCI(arr, 0.95, 'upper-tail'))
// => 19.297020890880212
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.25))
// => [ 39.026745129035845, 27.336891234600518 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.5))
// => [ 36.53111791211017, 29.832518451526187 ]
arr = [6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36]
console.log(await arrAverageWithNormCI(arr, 0.75))
// => [ 34.74951166569791, 31.614124697938454 ]
arr = ['abc', '-2.5', -2.5, '-1', -1, '-0.1', -0.1, '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(await arrAverageWithNormCI(arr, 0.50))
// => [ 2.5700668400787645, 0.4299331599212357 ]
arr = ['abc', '0', 0, '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(await arrAverageWithNormCI(arr, 0.50))
// => [ 5.011682286477105, 1.5883177135228952 ]
}
test()
.catch((err) => {
console.log(err)
})</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="default">
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
<tr>
<td class="name"><code>p</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="default">
</td>
<td class="description last"><p>輸入信賴水準浮點數，需介於0至1之間</p></td>
</tr>
<tr>
<td class="name"><code>mode</code></td>
<td class="type">
<span class="param-type">String</span>
</td>
<td class="default">
<code>two-tailed</code>
</td>
<td class="description last"><p>輸入檢定模式字串，可選'two-tailed'、'upper-tail'、'lower-tail'，預設'two-tailed'</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳樣本平均值</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".arrCount"><span class="type-signature type-signature-static">(static) </span>arrCount<span class="signature">(arr)</span><span class="type-signature"> → {Array}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>計算陣列內有效字串依照不重複值進行群組化後，回傳各值之出現次數值</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrCount.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrCount.mjs.html">arrCount.mjs</a>, <a href="arrCount.mjs.html#line52">line 52</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>let arr
arr = ['abc', '-2.5', -2.5, '-1', -1, '-0.1', -0.1, '0', 0, 'abc', '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(arrCount(arr))
// => [
// { key: '2.5', count: 2 },
// { key: '0.1', count: 2 },
// { key: '-0.1', count: 2 },
// { key: '-1', count: 2 },
// { key: '-2.5', count: 2 },
// { key: 'abc', count: 2 },
// { key: '1', count: 2 },
// { key: '0', count: 2 },
// { key: 'xyz', count: 1 },
// { key: '22.5', count: 1 }
// ]
arr = ['abc', '0', 0, 'abc', '0.1', 0.1, '1', 1, '2.5', 2.5, 22.5, 'xyz']
console.log(arrCount(arr))
// => [
// { key: '2.5', count: 2 },
// { key: '0.1', count: 2 },
// { key: 'abc', count: 2 },
// { key: '1', count: 2 },
// { key: '0', count: 2 },
// { key: 'xyz', count: 1 },
// { key: '22.5', count: 1 }
//]</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="description last"><p>輸入陣列，只提取有效字串(或為字串的數字)進行計算</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳各值出現次數值陣列</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Array</span>
</dd>
</dl>
<h4 class="name" id=".arrGammaFit"><span class="type-signature type-signature-async, static">(async, static) </span>arrGammaFit<span class="signature">(arr)</span><span class="type-signature"> → {Object}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>計算擬合Gamma分布之參數</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrGammaFit.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrGammaFit.mjs.html">arrGammaFit.mjs</a>, <a href="arrGammaFit.mjs.html#line608">line 608</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>async function test() {
let arr
let r
arr = [12, 36, 9, 13, 6, 17, 7, 12, 31, 57, 44, 32, 16, 11, 10, 38, 31, 28, 26, 7, 16, 16, 16, 13, 7, 8, 12, 17, 11, 20, 7, 6, 14, 7, 37, 11, 7, 8, 8, 32, 29, 52, 20, 6, 11, 12, 33, 48, 10, 27, 11, 24, 17, 11, 23, 20, 13, 16, 16, 17, 13, 15, 13, 26, 11, 13, 29, 18, 18, 13, 11, 12, 9, 17, 19, 14, 19, 9, 37, 32, 14, 20, 13, 22, 12, 14, 33, 15, 20, 37, 24, 19, 15, 15, 5, 11, 13, 60, 39, 17, 6, 18, 40, 21, 18, 17, 12, 12, 10, 39, 27, 10, 8, 44, 36, 18, 11, 8, 13, 9, 25, 11, 10, 55, 54, 13, 8, 19, 38, 9, 17, 14, 9, 12, 54, 22, 11, 19, 50, 18, 12, 40, 52, 12, 15, 7, 12, 15, 18, 19, 11, 43, 23, 14, 25, 32, 23, 15, 12, 20, 14, 10, 12, 24, 50, 40, 16, 14, 9, 27, 9, 11, 17, 19, 12, 17, 14, 5, 24, 22, 60, 20, 9, 11, 11, 6, 7, 8, 31, 10, 12, 9, 11, 26, 14, 7, 14, 57, 19, 9, 10, 9, 19, 19, 15, 21, 48, 23, 26, 14, 46, 51, 10, 10, 9, 7, 19, 46, 27, 18, 12, 10, 36, 15, 5, 11, 13, 21, 15, 15, 16, 29, 44, 42, 7, 14, 9, 6, 22, 24, 18, 39, 7, 50, 33, 11, 20, 17, 18, 48, 8, 21, 20, 12, 41, 11, 18, 11, 58, 18, 21, 23, 12, 67, 35]
r = await arrGammaFit(arr, {
n: 69,
min: 1,
max: 70,
})
console.log(r)
// => {
// shape: 3.8362965388539396,
// scale: 4.074897568773075,
// arrPdf: [
// [ 1.5, 0, 0.002034542900938358 ],
// [ 2.5, 0, 0.006778251528074013 ],
// [ 3.5, 0, 0.013772161615714786 ],
// [ 4.5, 0.011320754716981131, 0.02197810173523445 ],
// [ 5.5, 0.022641509433962263, 0.030380569392341527 ],
// [ 6.5, 0.045283018867924525, 0.03817623569640994 ],
// [ 7.5, 0.03018867924528302, 0.044821355259143096 ],
// [ 8.5, 0.052830188679245285, 0.05001282903727686 ],
// [ 9.5, 0.04150943396226415, 0.053642598229888455 ],
// [ 10.5, 0.07924528301886792, 0.05574595886606071 ],
// [ 11.5, 0.07169811320754717, 0.05645381775460518 ],
// [ 12.5, 0.045283018867924525, 0.05595305000100274 ],
// [ 13.5, 0.04905660377358491, 0.05445596204835303 ],
// [ 14.5, 0.04150943396226415, 0.05217827444112463 ],
// [ 15.5, 0.03018867924528302, 0.04932434550769117 ],
// [ 16.5, 0.04150943396226415, 0.04607816130381367 ],
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// dx: 1,
// bs: [
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// avg: 17.5,
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// avg: 19.5,
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// {
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// avg: 20.5,
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// {
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// avg: 26.5,
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// avg: 28.5,
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// { min: 29, max: 30, avg: 29.5, arr: [], counts: 0, pdf: 0 },
// {
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// avg: 30.5,
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// pdf: 0.011320754716981131
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// {
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// avg: 31.5,
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// {
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// avg: 32.5,
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// pdf: 0.011320754716981131
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// { min: 33, max: 34, avg: 33.5, arr: [], counts: 0, pdf: 0 },
// {
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// avg: 34.5,
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// pdf: 0.0037735849056603774
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// avg: 35.5,
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// pdf: 0.011320754716981131
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// avg: 37.5,
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// avg: 38.5,
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// pdf: 0.0037735849056603774
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// avg: 41.5,
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// pdf: 0.0037735849056603774
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// avg: 42.5,
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// pdf: 0.0037735849056603774
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// {
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// avg: 43.5,
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// pdf: 0.011320754716981131
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// { min: 44, max: 45, avg: 44.5, arr: [], counts: 0, pdf: 0 },
// {
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// avg: 45.5,
// arr: [Array],
// counts: 2,
// pdf: 0.007547169811320755
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// { min: 46, max: 47, avg: 46.5, arr: [], counts: 0, pdf: 0 },
// {
// min: 47,
// max: 48,
// avg: 47.5,
// arr: [Array],
// counts: 3,
// pdf: 0.011320754716981131
// },
// { min: 48, max: 49, avg: 48.5, arr: [], counts: 0, pdf: 0 },
// {
// min: 49,
// max: 50,
// avg: 49.5,
// arr: [Array],
// counts: 3,
// pdf: 0.011320754716981131
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// {
// min: 50,
// max: 51,
// avg: 50.5,
// arr: [Array],
// counts: 1,
// pdf: 0.0037735849056603774
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// {
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// max: 52,
// avg: 51.5,
// arr: [Array],
// counts: 2,
// pdf: 0.007547169811320755
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// { min: 52, max: 53, avg: 52.5, arr: [], counts: 0, pdf: 0 },
// {
// min: 53,
// max: 54,
// avg: 53.5,
// arr: [Array],
// counts: 2,
// pdf: 0.007547169811320755
// },
// {
// min: 54,
// max: 55,
// avg: 54.5,
// arr: [Array],
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// pdf: 0.0037735849056603774
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// { min: 55, max: 56, avg: 55.5, arr: [], counts: 0, pdf: 0 },
// {
// min: 56,
// max: 57,
// avg: 56.5,
// arr: [Array],
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// pdf: 0.007547169811320755
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// {
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// max: 58,
// avg: 57.5,
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// { min: 58, max: 59, avg: 58.5, arr: [], counts: 0, pdf: 0 },
// {
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// avg: 59.5,
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// { min: 60, max: 61, avg: 60.5, arr: [], counts: 0, pdf: 0 },
// { min: 61, max: 62, avg: 61.5, arr: [], counts: 0, pdf: 0 },
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// { min: 63, max: 64, avg: 63.5, arr: [], counts: 0, pdf: 0 },
// { min: 64, max: 65, avg: 64.5, arr: [], counts: 0, pdf: 0 },
// { min: 65, max: 66, avg: 65.5, arr: [], counts: 0, pdf: 0 },
// {
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// max: 67,
// avg: 66.5,
// arr: [Array],
// counts: 1,
// pdf: 0.0037735849056603774
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// { min: 67, max: 68, avg: 67.5, arr: [], counts: 0, pdf: 0 },
// { min: 68, max: 69, avg: 68.5, arr: [], counts: 0, pdf: 0 },
// { min: 69, max: 70, avg: 69.5, arr: [], counts: 0, pdf: 0 }
// ]
// }
}
test()
.catch((err) => {
console.log(err)
})</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳參數物件</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Object</span>
</dd>
</dl>
<h4 class="name" id=".arrGammaHist"><span class="type-signature type-signature-async, static">(async, static) </span>arrGammaHist<span class="signature">(arr, opt<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {Number}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>基於Gamma分布計算陣列數據分組直方圖、統計與趨勢線數據</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrGammaHist.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrGammaHist.mjs.html">arrGammaHist.mjs</a>, <a href="arrGammaHist.mjs.html#line35">line 35</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>async function test() {
}
test()
.catch((err) => {
console.log(err)
})</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="attributes">
</td>
<td class="default">
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
<tr>
<td class="name"><code>opt</code></td>
<td class="type">
<span class="param-type">Object</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>{}</code>
</td>
<td class="description last"><p>輸入設定物件，預設{}</p>
<h6>Properties</h6>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th>Default</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>dx</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>null</code>
</td>
<td class="description last"><p>輸入直方圖分組(x軸)寬度數字，預設null</p></td>
</tr>
<tr>
<td class="name"><code>n</code></td>
<td class="type">
<span class="param-type">Integer</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>30</code>
</td>
<td class="description last"><p>輸入直方圖分組(x軸)數量整數，預設30</p></td>
</tr>
<tr>
<td class="name"><code>nCurve</code></td>
<td class="type">
<span class="param-type">Integer</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>100</code>
</td>
<td class="description last"><p>輸入擬合用陣列數據長度整數，預設100</p></td>
</tr>
<tr>
<td class="name"><code>min</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>null</code>
</td>
<td class="description last"><p>輸入直方圖分組(x軸)最小值數字，若不給則使用數據最小值，預設null</p></td>
</tr>
<tr>
<td class="name"><code>max</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="attributes">
<optional><br>
</td>
<td class="default">
<code>null</code>
</td>
<td class="description last"><p>輸入直方圖分組(x軸)最大值數字，若不給則使用數據最大值，預設null</p></td>
</tr>
</tbody>
</table>
</td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳反函數值</p>
</div>
<dl class="param-type">
<dt>
Type
</dt>
<dd>
<span class="param-type">Number</span>
</dd>
</dl>
<h4 class="name" id=".arrGammaInv"><span class="type-signature type-signature-async, static">(async, static) </span>arrGammaInv<span class="signature">(arr, ratio)</span><span class="type-signature"> → {Number}</span></h4>
<dl class="details">
<dt class="tag-description">Description:</dt>
<dd class="tag-description"><ul class="dummy"><li><p>基於Gamma累加分布計算指定位置之反函數值</p>
<p>Unit Test: <a href="https://github.com/yuda-lyu/w-statistic/blob/master/test/arrGammaInv.test.js">Github</a></p></li></ul></dd>
<dt class="tag-source">Source:</dt>
<dd class="tag-source"><ul class="dummy"><li>
<a href="arrGammaInv.mjs.html">arrGammaInv.mjs</a>, <a href="arrGammaInv.mjs.html#line43">line 43</a>
</li></ul></dd>
</dl>
<h5 class="h5-examples">Example</h5>
<pre class="prettyprint"><code>async function test() {
let arr
let r
arr = [12, 36, 9, 13, 6, 17, 7, 12, 31, 57, 44, 32, 16, 11, 10, 38, 31, 28, 26, 7, 16, 16, 16, 13, 7, 8, 12, 17, 11, 20, 7, 6, 14, 7, 37, 11, 7, 8, 8, 32, 29, 52, 20, 6, 11, 12, 33, 48, 10, 27, 11, 24, 17, 11, 23, 20, 13, 16, 16, 17, 13, 15, 13, 26, 11, 13, 29, 18, 18, 13, 11, 12, 9, 17, 19, 14, 19, 9, 37, 32, 14, 20, 13, 22, 12, 14, 33, 15, 20, 37, 24, 19, 15, 15, 5, 11, 13, 60, 39, 17, 6, 18, 40, 21, 18, 17, 12, 12, 10, 39, 27, 10, 8, 44, 36, 18, 11, 8, 13, 9, 25, 11, 10, 55, 54, 13, 8, 19, 38, 9, 17, 14, 9, 12, 54, 22, 11, 19, 50, 18, 12, 40, 52, 12, 15, 7, 12, 15, 18, 19, 11, 43, 23, 14, 25, 32, 23, 15, 12, 20, 14, 10, 12, 24, 50, 40, 16, 14, 9, 27, 9, 11, 17, 19, 12, 17, 14, 5, 24, 22, 60, 20, 9, 11, 11, 6, 7, 8, 31, 10, 12, 9, 11, 26, 14, 7, 14, 57, 19, 9, 10, 9, 19, 19, 15, 21, 48, 23, 26, 14, 46, 51, 10, 10, 9, 7, 19, 46, 27, 18, 12, 10, 36, 15, 5, 11, 13, 21, 15, 15, 16, 29, 44, 42, 7, 14, 9, 6, 22, 24, 18, 39, 7, 50, 33, 11, 20, 17, 18, 48, 8, 21, 20, 12, 41, 11, 18, 11, 58, 18, 21, 23, 12, 67, 35]
r = await arrGammaInv(arr, 0.5, {
n: 69,
min: 1,
max: 70,
})
console.log(r.inv)
// => 14.297217114904852
}
test()
.catch((err) => {
console.log(err)
})</code></pre>
<h5 class="h5-parameters">Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>arr</code></td>
<td class="type">
<span class="param-type">Array</span>
</td>
<td class="description last"><p>輸入陣列，只提取有效數字(或為字串的數字)進行計算</p></td>
</tr>
<tr>
<td class="name"><code>ratio</code></td>
<td class="type">
<span class="param-type">Number</span>
</td>
<td class="description last"><p>輸入指定位置浮點數，需介於0至1之間</p></td>
</tr>
</tbody>
</table>
<h5 class="h5-returns">Returns:</h5>
<div class="param-desc">
<p>回傳反