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<meta>
<topic id="textscalc0104060181xml" indexer="include">
<title id="tit" xml-lang="en-US">Statistical Functions Part One</title>
<filename>/text/scalc/01/04060181.xhp</filename>
</topic>
</meta>
<body>
<h1 id="hd_id3146320"><variable id="ae"><link href="text/scalc/01/04060181.xhp">Statistical Functions Part One</link></variable></h1>
<sort order="asc" descendant="h2">
<section id="intercept">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145632">
<bookmark_value>INTERCEPT function</bookmark_value>
<bookmark_value>points of intersection</bookmark_value>
<bookmark_value>intersections</bookmark_value>
</bookmark>
<comment>mw added two entries</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_ACHSENABSCHNITT" id="bm_id3153018" localize="false"/>
<h2 id="hd_id3145632">INTERCEPT</h2>
<paragraph id="par_id3146887" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_ACHSENABSCHNITT">Calculates the point at which a line will intersect the y-values by using known x-values and y-values.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3149718" role="code" xml-lang="en-US">INTERCEPT(DataY; DataX)</paragraph>
<paragraph id="par_id3149947" role="paragraph" xml-lang="en-US"><emph>DataY</emph> is the dependent set of observations or data.</paragraph>
<paragraph id="par_id3147412" role="paragraph" xml-lang="en-US"><emph>DataX</emph> is the independent set of observations or data.</paragraph>
<paragraph id="par_id3152983" role="paragraph" xml-lang="en-US">Names, arrays or references containing numbers must be used here. Numbers can also be entered directly.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3148728" role="paragraph" xml-lang="en-US">To calculate the intercept, use cells D3:D9 as the y value and C3:C9 as the x value from the example spreadsheet. Input will be as follows:</paragraph>
<paragraph id="par_id3149013" role="paragraph" xml-lang="en-US"><item type="input">=INTERCEPT(D3:D9;C3:C9)</item> = 2.15.</paragraph>
</section>
<section id="count">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148437">
<bookmark_value>COUNT function</bookmark_value>
<bookmark_value>numbers;counting</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_ANZAHL" id="bm_id3153040" localize="false"/>
<h2 id="hd_id3148437"><variable id="count_head"><link href="text/scalc/01/04060181.xhp#count">COUNT</link></variable></h2>
<paragraph id="par_id3150700" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_ANZAHL">Counts how many numbers are in the list of arguments.</ahelp> Text entries are ignored.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3148585" role="code" xml-lang="en-US">COUNT(<embedvar href="text/scalc/01/ful_func.xhp#number255_1" markup="keep"/>)</paragraph>
<embed href="text/scalc/01/ful_func.xhp#number255"/>
<embed href="text/scalc/01/common_func.xhp#datenumbersequencenote"/>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3149953" role="paragraph" xml-lang="en-US">The entries 2, 4, 6 and eight in the Value 1-4 fields are to be counted.</paragraph>
<paragraph id="par_id3154558" role="paragraph" xml-lang="en-US"><item type="input">=COUNT(2;4;6;"eight")</item> = 3. The count of numbers is therefore 3.</paragraph>
</section>
<section id="counta">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149729">
<bookmark_value>COUNTA function</bookmark_value>
<bookmark_value>number of entries</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_ANZAHL2" id="bm_id3148738" localize="false"/>
<h2 id="hd_id3149729"><variable id="counta_head"><link href="text/scalc/01/04060181.xhp#counta">COUNTA</link></variable></h2>
<paragraph id="par_id3150142" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_ANZAHL2">Counts how many values are in the list of arguments.</ahelp> Text entries are also counted, even when they contain an empty string of length 0. If an argument is an array or reference, empty cells within the array or reference are ignored.<comment>UFI: fix to #i35888#</comment></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3153111" role="code" xml-lang="en-US">COUNTA(<embedvar href="text/scalc/01/ful_func.xhp#number255_1" markup="keep"/>)</paragraph>
<embed href="text/scalc/01/ful_func.xhp#number255"/>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3154508" role="paragraph" xml-lang="en-US">The entries 2, 4, 6 and eight in the Value 1-4 fields are to be counted.</paragraph>
<paragraph id="par_id3158000" role="paragraph" xml-lang="en-US"><item type="input">=COUNTA(2;4;6;"eight")</item> = 4. The count of values is therefore 4.</paragraph>
</section>
<section id="countblank">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150896">
<bookmark_value>COUNTBLANK function</bookmark_value>
<bookmark_value>counting;empty cells</bookmark_value>
<bookmark_value>empty cells;counting</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_ANZAHLLEEREZELLEN" id="bm_id3149730" localize="false"/>
<h2 id="hd_id3150896"><variable id="countblank_head"><link href="text/scalc/01/04060181.xhp#countblank">COUNTBLANK</link></variable></h2>
<paragraph id="par_id3155260" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_ANZAHLLEEREZELLEN">Returns the number of empty cells.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3153931" role="code" xml-lang="en-US">COUNTBLANK(Range)</paragraph>
<paragraph id="par_id3149512" role="paragraph" xml-lang="en-US">Returns the number of empty cells in the cell range <emph>Range</emph>.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3148586" role="paragraph" xml-lang="en-US"><item type="input">=COUNTBLANK(A1:B2)</item> returns 4 if cells A1, A2, B1, and B2 are all empty.</paragraph><comment>see also COUNTIF</comment>
</section>
<section id="countif">
<bookmark xml-lang="en-US" branch="index" id="bm_id3164897">
<bookmark_value>COUNTIF function</bookmark_value>
<bookmark_value>counting;specified cells</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_ZAEHLENWENN" id="bm_id3164909" localize="false"/>
<h2 id="hd_id3164897"><variable id="countif_head"><link href="text/scalc/01/04060181.xhp#countif">COUNTIF</link></variable></h2>
<paragraph id="par_id3164926" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_ZAEHLENWENN">Returns the number of cells that meet with certain criteria within a cell range.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3164967" role="code" xml-lang="en-US">COUNTIF(Range; Criterion)</paragraph>
<paragraph id="par_id3164980" role="paragraph" xml-lang="en-US"><emph>Range</emph> is the range to which the criteria are to be applied.</paragraph>
<embed href="text/scalc/01/ex_data_stat_func.xhp#criterion"/>
<embed href="text/shared/00/00000001.xhp#regex"/>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3166505" role="paragraph" xml-lang="en-US">A1:A10 is a cell range containing the numbers <item type="input">2000</item> to <item type="input">2009</item>. Cell B1 contains the number <item type="input">2006</item>. In cell B2, you enter a formula:</paragraph>
<paragraph id="par_id3581652" role="paragraph" xml-lang="en-US"><item type="input">=COUNTIF(A1:A10;2006)</item> - this returns 1.</paragraph>
<paragraph id="par_id708639" role="paragraph" xml-lang="en-US"><item type="input">=COUNTIF(A1:A10;B1)</item> - this returns 1.</paragraph>
<paragraph id="par_id5169225" role="paragraph" xml-lang="en-US"><item type="input">=COUNTIF(A1:A10;">=2006")</item> - this returns 4.</paragraph>
<paragraph id="par_id2118594" role="paragraph" xml-lang="en-US"><item type="input">=COUNTIF(A1:A10;"<"&B1)</item> - when B1 contains <item type="input">2006</item>, this returns 6.</paragraph>
<paragraph id="par_id166020" role="paragraph" xml-lang="en-US"><item type="input">=COUNTIF(A1:A10;C2)</item> where cell C2 contains the text <item type="input">>2006</item> counts the number of cells in the range A1:A10 which are >2006.</paragraph>
<paragraph id="par_id6386913" role="paragraph" xml-lang="en-US">To count only negative numbers: <item type="input">=COUNTIF(A1:A10;"<0")</item></paragraph>
</section>
<section id="countifs">
<h2 localize="false" id="hd_id224412044220134"><embedvar href="text/scalc/01/func_countifs.xhp#countifs_head"/></h2>
<paragraph id="par_id16399242326772" role="paragraph" localize="false" xml-lang="en-US"><embedvar href="text/scalc/01/func_countifs.xhp#countifs_des"/></paragraph>
</section>
<section id="b">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150267">
<bookmark_value>B function</bookmark_value>
<bookmark_value>probabilities of samples with binomial distribution</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_B" id="bm_id3153044" localize="false"/>
<h2 id="hd_id3150267">B</h2>
<paragraph id="par_id3156061" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_B">Returns the probability of a sample with binomial distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3148392" role="code" xml-lang="en-US">B(Trials; SP; T1 [; T2])</paragraph>
<paragraph id="par_id3149002" role="paragraph" xml-lang="en-US"><emph>Trials</emph> is the number of independent trials.</paragraph>
<paragraph id="par_id3148875" role="paragraph" xml-lang="en-US"><emph>SP</emph> is the probability of success on each trial.</paragraph>
<paragraph id="par_id3145352" role="paragraph" xml-lang="en-US"><emph>T1</emph> defines the lower limit for the number of trials.</paragraph>
<paragraph id="par_id3149538" role="paragraph" xml-lang="en-US"><emph>T2</emph> (optional) defines the upper limit for the number of trials.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3154633" role="paragraph" xml-lang="en-US">What is the probability with ten throws of the dice, that a six will come up exactly twice? The probability of a six (or any other number) is 1/6. The following formula combines these factors:</paragraph>
<paragraph id="par_id3149393" role="paragraph" xml-lang="en-US"><item type="input">=B(10;1/6;2)</item> returns a probability of 29%.</paragraph>
</section>
<section id="rsq">
<bookmark xml-lang="en-US" branch="index" id="bm_id3158416">
<bookmark_value>RSQ function</bookmark_value>
<bookmark_value>determination coefficients</bookmark_value>
<bookmark_value>regression analysis</bookmark_value>
</bookmark>
<comment>mw added regression analysis</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BESTIMMTHEITSMASS" id="bm_id3153228" localize="false"/>
<h2 id="hd_id3158416">RSQ</h2>
<paragraph id="par_id3154949" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BESTIMMTHEITSMASS">Returns the square of the Pearson correlation coefficient based on the given values.</ahelp> RSQ (also called determination coefficient) is a measure for the accuracy of an adjustment and can be used to produce a regression analysis.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3155822" role="code" xml-lang="en-US">RSQ(DataY; DataX)</paragraph>
<paragraph id="par_id3150470" role="paragraph" xml-lang="en-US"><emph>DataY</emph> is an array or range of data points.</paragraph>
<paragraph id="par_id3153181" role="paragraph" xml-lang="en-US"><emph>DataX</emph> is an array or range of data points.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3155991" role="paragraph" xml-lang="en-US"><item type="input">=RSQ(A1:A20;B1:B20)</item> calculates the determination coefficient for both data sets in columns A and B.</paragraph>
</section>
<section id="betainv">
<bookmark xml-lang="en-US" branch="index" id="bm_id3145620">
<bookmark_value>BETAINV function</bookmark_value>
<bookmark_value>cumulative probability density function;inverse of</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BETAINV" id="bm_id3146154" localize="false"/>
<h2 id="hd_id3145620">BETAINV</h2>
<paragraph id="par_id3149825" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BETAINV">Returns the inverse of the cumulative Beta probability density function.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3156300" role="code" xml-lang="en-US">BETAINV(Number; Alpha; Beta [; Start [; End]])</paragraph>
<paragraph id="par_id3149266" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the probability associated with the Beta distribution for the given arguments <emph>Alpha</emph> and <emph>Beta</emph>.</paragraph>
<paragraph id="par_id3149710" role="paragraph" xml-lang="en-US"><emph>Alpha</emph> is a strictly positive parameter of the Beta distribution.</paragraph>
<paragraph id="par_id3156306" role="paragraph" xml-lang="en-US"><emph>Beta</emph> is a strictly positive parameter of the Beta distribution.</paragraph>
<paragraph id="par_id3150960" role="paragraph" xml-lang="en-US"><emph>Start</emph> (optional) is the lower bound of the output range of the function. If omitted, the default value is 0.</paragraph>
<paragraph id="par_id3151268" role="paragraph" xml-lang="en-US"><emph>End</emph> (optional) is the upper bound of the output range of the function. If omitted, the default value is 1.</paragraph>
<paragraph id="par_idN109DF" role="paragraph" localize="false" xml-lang="en-US"><embedvar href="text/scalc/00/00000004.xhp#optional"/></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3146859" role="paragraph" xml-lang="en-US"><input>=BETAINV(0.5;5;10)</input> returns the value 0.3257511553.</paragraph>
<paragraph role="paragraph" id="par_id871621424421294"><link href="https://wiki.documentfoundation.org/Documentation/Calc_Functions/BETAINV">BETAINV Wiki page</link></paragraph>
</section>
<section id="betadotinv">
<bookmark xml-lang="en-US" branch="index" id="bm_id2945620">
<bookmark_value>BETA.INV function</bookmark_value>
<bookmark_value>cumulative probability density function;inverse of</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BETAINV_MS" id="bm_id2946154" localize="false"/>
<h2 id="hd_id2945620">BETA.INV</h2>
<paragraph id="par_id2949825" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BETAINV_MS">Returns the inverse of the cumulative Beta probability density function.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2956300" role="code" xml-lang="en-US">BETA.INV(Number; Alpha; Beta [; Start [; End]])</paragraph>
<paragraph id="par_id2949266" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the probability associated with the Beta distribution for the given arguments <emph>Alpha</emph> and <emph>Beta</emph>.</paragraph>
<paragraph id="par_id2949710" role="paragraph" xml-lang="en-US"><emph>Alpha</emph> is a strictly positive parameter of the Beta distribution.</paragraph>
<paragraph id="par_id2956306" role="paragraph" xml-lang="en-US"><emph>Beta</emph> is a strictly positive parameter of the Beta distribution.</paragraph>
<paragraph id="par_id2950960" role="paragraph" xml-lang="en-US"><emph>Start</emph> (optional) is the lower bound of the output range of the function. If omitted, the default value is 0.</paragraph>
<paragraph id="par_id2951268" role="paragraph" xml-lang="en-US"><emph>End</emph> (optional) is the upper bound of the output range of the function. If omitted, the default value is 1.</paragraph>
<paragraph id="par_idN109DFms" role="paragraph" localize="false" xml-lang="en-US"><embedvar href="text/scalc/00/00000004.xhp#optional"/></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2946859" role="paragraph" xml-lang="en-US"><input>=BETA.INV(0.5;5;10)</input> returns the value 0.3257511553.</paragraph>
<paragraph role="paragraph" id="par_id841621424421294"><link href="https://wiki.documentfoundation.org/Documentation/Calc_Functions/BETA.INV">BETA.INV Wiki page</link></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id311640873986703" localize="false"><literal>COM.MICROSOFT.BETA.INV</literal></paragraph>
</section>
<section id="betadist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3156096">
<bookmark_value>BETADIST function</bookmark_value>
<bookmark_value>cumulative probability density function;calculating</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BETAVERT" id="bm_id3153213" localize="false"/>
<h2 id="hd_id3156096">BETADIST</h2>
<paragraph id="par_id3150880" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BETAVERT">Returns the beta function.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3147571" role="code" xml-lang="en-US">BETADIST(Number; Alpha; Beta [; Start [; End [; Cumulative]]])</paragraph>
<paragraph id="par_id3156317" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the value between <emph>Start</emph> and <emph>End</emph> at which to evaluate the function.</paragraph>
<paragraph id="par_id3156107" role="paragraph" xml-lang="en-US"><emph>Alpha</emph> is a parameter to the distribution.</paragraph>
<paragraph id="par_id3153619" role="paragraph" xml-lang="en-US"><emph>Beta</emph> is a parameter to the distribution.</paragraph>
<paragraph id="par_id3150254" role="paragraph" xml-lang="en-US"><emph>Start</emph> (optional) is the lower bound for <emph>Number</emph>.</paragraph>
<paragraph id="par_id3149138" role="paragraph" xml-lang="en-US"><emph>End</emph> (optional) is the upper bound for <emph>Number</emph>.</paragraph>
<paragraph id="par_id012020091254453" role="paragraph" xml-lang="en-US"><emph>Cumulative</emph> (optional) can be 0 or False to calculate the probability density function. It can be any other value or True or omitted to calculate the cumulative distribution function.</paragraph>
<paragraph id="par_idN10AB3" role="paragraph" localize="false" xml-lang="en-US"><embedvar href="text/scalc/00/00000004.xhp#optional"/></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3156118" role="paragraph" xml-lang="en-US"><item type="input">=BETADIST(0.75;3;4)</item> returns the value 0.96.</paragraph>
</section>
<section id="betadotdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id2956096">
<bookmark_value>BETA.DIST function</bookmark_value>
<bookmark_value>cumulative probability density function;calculating</bookmark_value>
</bookmark>
<comment>mw added one entry</comment>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BETADIST_MS" id="bm_id2953213" localize="false"/>
<h2 id="hd_id2956096">BETA.DIST</h2>
<paragraph id="par_id2950880" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BETADIST_MS">Returns the beta function.</ahelp></paragraph>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2947571" role="code" xml-lang="en-US">BETA.DIST(Number; Alpha; Beta; Cumulative [; Start [; End]])</paragraph>
<paragraph id="par_id2956317" role="paragraph" xml-lang="en-US"><emph>Number</emph> (required) is the value between <emph>Start</emph> and <emph>End</emph> at which to evaluate the function.</paragraph>
<paragraph id="par_id2956107" role="paragraph" xml-lang="en-US"><emph>Alpha</emph> (required) is a parameter to the distribution.</paragraph>
<paragraph id="par_id2953619" role="paragraph" xml-lang="en-US"><emph>Beta</emph> (required) is a parameter to the distribution.</paragraph>
<paragraph id="par_id062920141254453" role="paragraph" xml-lang="en-US"><emph>Cumulative</emph> (required) can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.</paragraph>
<paragraph id="par_id2950254" role="paragraph" xml-lang="en-US"><emph>Start</emph> (optional) is the lower bound for <emph>Number</emph>.</paragraph>
<paragraph id="par_id2949138" role="paragraph" xml-lang="en-US"><emph>End</emph> (optional) is the upper bound for <emph>Number</emph>.</paragraph>
<paragraph id="par_idN10AB3ms" role="paragraph" localize="false" xml-lang="en-US"><embedvar href="text/scalc/00/00000004.xhp#optional"/></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2956118" role="paragraph" xml-lang="en-US"><item type="input">=BETA.DIST(2;8;10;1;1;3)</item> returns the value 0.6854706</paragraph>
<paragraph id="par_id2956119" role="paragraph" xml-lang="en-US"><item type="input">=BETA.DIST(2;8;10;0;1;3)</item> returns the value 1.4837646</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341645873986703" localize="false"><literal>COM.MICROSOFT.BETA.DIST</literal></paragraph>
</section>
<section id="binomdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3143228">
<bookmark_value>BINOMDIST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BINOMVERT" id="bm_id3150146" localize="false"/>
<h2 id="hd_id3143228">BINOMDIST</h2>
<paragraph id="par_id3146897" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BINOMVERT">Returns the individual term binomial distribution probability.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3156009" role="code" xml-lang="en-US">BINOMDIST(X; Trials; SP; C)</paragraph>
<paragraph id="par_id3154304" role="paragraph" xml-lang="en-US"><emph>X</emph> is the number of successes in a set of trials.</paragraph>
<paragraph id="par_id3147492" role="paragraph" xml-lang="en-US"><emph>Trials</emph> is the number of independent trials.</paragraph>
<paragraph id="par_id3146085" role="paragraph" xml-lang="en-US"><emph>SP</emph> is the probability of success on each trial.</paragraph>
<paragraph id="par_id3149760" role="paragraph" xml-lang="en-US"><emph>C</emph> = 0 calculates the probability of a single event and <emph>C</emph> = 1 calculates the cumulative probability.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3145666" role="paragraph" xml-lang="en-US"><item type="input">=BINOMDIST(A1;12;0.5;0)</item> shows (if the values <item type="input">0</item> to <item type="input">12</item> are entered in A1) the probabilities for 12 flips of a coin that <emph>Heads</emph> will come up exactly the number of times entered in A1.</paragraph>
<paragraph id="par_id3150120" role="paragraph" xml-lang="en-US"><item type="input">=BINOMDIST(A1;12;0.5;1)</item> shows the cumulative probabilities for the same series. For example, if A1 = <item type="input">4</item>, the cumulative probability of the series is 0, 1, 2, 3 or 4 times <emph>Heads</emph> (non-exclusive OR).</paragraph>
</section>
<section id="binomdotdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id2943228">
<bookmark_value>BINOM.DIST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BINOM_DIST_MS" id="bm_id2950146" localize="false"/>
<h2 id="hd_id2943228">BINOM.DIST</h2>
<paragraph id="par_id2946897" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BINOM_DIST_MS">Returns the individual term binomial distribution probability.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2956009" role="code" xml-lang="en-US">BINOM.DIST(X; Trials; SP; C)</paragraph>
<paragraph id="par_id2954304" role="paragraph" xml-lang="en-US"><emph>X</emph> is the number of successes in a set of trials.</paragraph>
<paragraph id="par_id2947492" role="paragraph" xml-lang="en-US"><emph>Trials</emph> is the number of independent trials.</paragraph>
<paragraph id="par_id2946085" role="paragraph" xml-lang="en-US"><emph>SP</emph> is the probability of success on each trial.</paragraph>
<paragraph id="par_id299760" role="paragraph" xml-lang="en-US"><emph>C</emph> = 0 calculates the probability of a single event and <emph>C</emph> = 1 calculates the cumulative probability.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id295666" role="paragraph" xml-lang="en-US"><item type="input">=BINOM.DIST(A1;12;0.5;0)</item> shows (if the values <item type="input">0</item> to <item type="input">12</item> are entered in A1) the probabilities for 12 flips of a coin that <emph>Heads</emph> will come up exactly the number of times entered in A1.</paragraph>
<paragraph id="par_id290120" role="paragraph" xml-lang="en-US"><item type="input">=BINOM.DIST(A1;12;0.5;1)</item> shows the cumulative probabilities for the same series. For example, if A1 = <item type="input">4</item>, the cumulative probability of the series is 0, 1, 2, 3 or 4 times <emph>Heads</emph> (non-exclusive OR).</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873786703" localize="false"><literal>COM.MICROSOFT.BINOM.DIST</literal></paragraph>
</section>
<section id="binomdotinv">
<bookmark xml-lang="en-US" branch="index" id="bm_id2843228">
<bookmark_value>BINOM.INV function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_BINOM_INV_MS" id="bm_id2850146" localize="false"/>
<h2 id="hd_id2843228">BINOM.INV</h2>
<paragraph id="par_id2846897" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_BINOM_INV_MS">Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2856009" role="code" xml-lang="en-US">BINOM.INV(Trials; SP; Alpha)</paragraph>
<paragraph id="par_id2847492" role="paragraph" xml-lang="en-US"><emph>Trials</emph> The total number of trials.</paragraph>
<paragraph id="par_id2846085" role="paragraph" xml-lang="en-US"><emph>SP</emph> is the probability of success on each trial.</paragraph>
<paragraph id="par_id289760" role="paragraph" xml-lang="en-US"><emph>Alpha</emph> The border probability that is attained or exceeded.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id285666" role="paragraph" xml-lang="en-US"><item type="input">=BINOM.INV(8;0.6;0.9)</item> returns 7, the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873986706" localize="false"><literal>COM.MICROSOFT.BINOM.INV</literal></paragraph>
</section>
<section id="chisqinv">
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHISQINV" id="bm_id0119200902430717" localize="false"/>
<bookmark xml-lang="en-US" branch="index" id="bm_id0119200902432928">
<bookmark_value>CHISQINV function</bookmark_value>
</bookmark>
<h2 id="hd_id0119200902421451">CHISQINV</h2>
<paragraph id="par_id0119200902421449" role="paragraph" xml-lang="en-US"><ahelp hid=".">Returns the inverse of CHISQDIST.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id21585771564740" role="code" xml-lang="en-US">CHISQINV(Probability; Degrees of Freedom)</paragraph>
<paragraph id="par_id0119200902475286" role="paragraph" xml-lang="en-US"><emph>Probability</emph> is the probability value for which the inverse of the chi-square distribution is to be calculated.</paragraph>
<paragraph id="par_id0119200902475282" role="paragraph" xml-lang="en-US"><emph>Degrees Of Freedom</emph> is the degrees of freedom for the chi-square function.</paragraph>
</section>
<section id="chisqdotinv">
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHISQINV_MS" id="bm_id2919200902430717" localize="false"/>
<bookmark xml-lang="en-US" branch="index" id="bm_id2919200902432928">
<bookmark_value>CHISQ.INV function</bookmark_value>
</bookmark>
<h2 id="hd_id2919200902421451">CHISQ.INV</h2>
<paragraph id="par_id2919200902421449" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHISQINV_MS">Returns the inverse of the left-tailed probability of the chi-square distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id1150504" role="code" xml-lang="en-US">CHISQ.INV(Probability; DegreesFreedom)</paragraph>
<paragraph id="par_id2919200902475286" role="paragraph" xml-lang="en-US"><emph>Probability</emph> is the probability value for which the inverse of the chi-square distribution is to be calculated.</paragraph>
<paragraph id="par_id2919200902475282" role="paragraph" xml-lang="en-US"><emph>Degrees Of Freedom</emph> is the degrees of freedom for the chi-square function.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id275666" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.INV(0,5;1)</item> returns 0.4549364231.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873986753" localize="false"><literal>COM.MICROSOFT.CHISQ.INV</literal></paragraph>
</section>
<section id="chiinv">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148835">
<bookmark_value>CHIINV function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHIINV" id="bm_id3148823" localize="false"/>
<h2 id="hd_id3148835">CHIINV</h2>
<paragraph id="par_id3149906" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHIINV">Returns the inverse of the one-tailed probability of the chi-squared distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3150504" role="code" xml-lang="en-US">CHIINV(Number; DegreesFreedom)</paragraph>
<paragraph id="par_id3154898" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the value of the error probability.</paragraph>
<paragraph id="par_id3154294" role="paragraph" xml-lang="en-US"><emph>DegreesFreedom</emph> is the degrees of freedom of the experiment.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3150777" role="paragraph" xml-lang="en-US">A die is thrown 1020 times. The numbers on the die 1 through 6 come up 195, 151, 148, 189, 183 and 154 times (observation values). The hypothesis that the die is not fixed is to be tested.</paragraph>
<paragraph id="par_id3153062" role="paragraph" xml-lang="en-US">The Chi square distribution of the random sample is determined by the formula given above. Since the expected value for a given number on the die for n throws is n times 1/6, thus 1020/6 = 170, the formula returns a Chi square value of 13.27.</paragraph>
<paragraph id="par_id3148806" role="paragraph" xml-lang="en-US">If the (observed) Chi square is greater than or equal to the (theoretical) Chi square CHIINV, the hypothesis will be discarded, since the deviation between theory and experiment is too great. If the observed Chi square is less that CHIINV, the hypothesis is confirmed with the indicated probability of error.</paragraph>
<paragraph id="par_id3149763" role="paragraph" xml-lang="en-US"><item type="input">=CHIINV(0.05;5)</item> returns 11.07.</paragraph>
<paragraph id="par_id3159142" role="paragraph" xml-lang="en-US"><item type="input">=CHIINV(0.02;5)</item> returns 13.39.</paragraph>
<paragraph id="par_id3158401" role="paragraph" xml-lang="en-US">If the probability of error is 5%, the die is not true. If the probability of error is 2%, there is no reason to believe it is fixed.</paragraph>
</section>
<section id="chisqdotinvdotrt">
<bookmark xml-lang="en-US" branch="index" id="bm_id2948835">
<bookmark_value>CHISQ.INV.RT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHIINV_MS" id="bm_id2948823" localize="false"/>
<h2 id="hd_id2948835">CHISQ.INV.RT</h2>
<paragraph id="par_id2949906" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHIINV_MS">Returns the inverse of the one-tailed probability of the chi-squared distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2950504" role="code" xml-lang="en-US">CHISQ.INV.RT(Number; DegreesFreedom)</paragraph>
<paragraph id="par_id2954898" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the value of the error probability.</paragraph>
<paragraph id="par_id2954294" role="paragraph" xml-lang="en-US"><emph>DegreesFreedom</emph> is the degrees of freedom of the experiment.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2950777" role="paragraph" xml-lang="en-US">A die is thrown 1020 times. The numbers on the die 1 through 6 come up 195, 151, 148, 189, 183 and 154 times (observation values). The hypothesis that the die is not fixed is to be tested.</paragraph>
<paragraph id="par_id2953062" role="paragraph" xml-lang="en-US">The Chi square distribution of the random sample is determined by the formula given above. Since the expected value for a given number on the die for n throws is n times 1/6, thus 1020/6 = 170, the formula returns a Chi square value of 13.27.</paragraph>
<paragraph id="par_id2948806" role="paragraph" xml-lang="en-US">If the (observed) Chi square is greater than or equal to the (theoretical) Chi square CHIINV, the hypothesis will be discarded, since the deviation between theory and experiment is too great. If the observed Chi square is less that CHIINV, the hypothesis is confirmed with the indicated probability of error.</paragraph>
<paragraph id="par_id2949763" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.INV.RT(0.05;5)</item> returns 11.0704976935.</paragraph>
<paragraph id="par_id2959142" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.INV.RT(0.02;5)</item> returns 13.388222599.</paragraph>
<paragraph id="par_id2958401" role="paragraph" xml-lang="en-US">If the probability of error is 5%, the die is not true. If the probability of error is 2%, there is no reason to believe it is fixed.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873983703" localize="false"><literal>COM.MICROSOFT.CHISQ.INV.RT</literal></paragraph>
</section>
<section id="chitest">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154260">
<bookmark_value>CHITEST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHITEST" id="bm_id3155355" localize="false"/>
<h2 id="hd_id3154260">CHITEST</h2>
<paragraph id="par_id3151052" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHITEST">Returns the probability of a deviance from a random distribution of two test series based on the chi-squared test for independence.</ahelp> CHITEST returns the chi-squared distribution of the data.</paragraph>
<paragraph id="par_id3148925" role="paragraph" xml-lang="en-US">The probability determined by CHITEST can also be determined with CHIDIST, in which case the Chi square of the random sample must then be passed as a parameter instead of the data row.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3149162" role="code" xml-lang="en-US">CHITEST(DataB; DataE)</paragraph>
<paragraph id="par_id3158421" role="paragraph" xml-lang="en-US"><emph>DataB</emph> is the array of the observations.</paragraph>
<paragraph id="par_id3166453" role="paragraph" xml-lang="en-US"><emph>DataE</emph> is the range of the expected values.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<embed href="text/scalc/01/04060181.xhp#data_sample"/>
<paragraph id="par_id3149481" role="paragraph" xml-lang="en-US"><item type="input">=CHITEST(A1:A6;B1:B6)</item> equals 0.02. This is the probability which suffices the observed data of the theoretical Chi-square distribution.</paragraph>
</section>
<section id="chidottest">
<bookmark xml-lang="en-US" branch="index" id="bm_id2954260">
<bookmark_value>CHISQ.TEST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHITEST_MS" id="bm_id2955355" localize="false"/>
<h2 id="hd_id2954260">CHISQ.TEST</h2>
<paragraph id="par_id2951052" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHITEST_MS">Returns the probability of a deviance from a random distribution of two test series based on the chi-squared test for independence.</ahelp> CHISQ.TEST returns the chi-squared distribution of the data.</paragraph>
<paragraph id="par_id2948925" role="paragraph" xml-lang="en-US">The probability determined by CHISQ.TEST can also be determined with CHISQ.DIST, in which case the Chi square of the random sample must then be passed as a parameter instead of the data row.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2949162" role="code" xml-lang="en-US">CHISQ.TEST(DataB; DataE)</paragraph>
<paragraph id="par_id2958421" role="paragraph" xml-lang="en-US"><emph>DataB</emph> is the array of the observations.</paragraph>
<paragraph id="par_id2966453" role="paragraph" xml-lang="en-US"><emph>DataE</emph> is the range of the expected values.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<section id="data_sample">
<table id="tbl_id2953233">
<tablerow>
<tablecell>
</tablecell>
<tablecell>
<paragraph id="par_id2954096" role="tablehead" xml-lang="en-US">Data_B (observed)</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2952948" role="tablehead" xml-lang="en-US">Data_E (expected)</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2952876" role="tablehead" localize="false" xml-lang="en-US">1</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2959279" role="tablecontent" localize="false" xml-lang="en-US">195</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2949105" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2949922" role="tablehead" localize="false" xml-lang="en-US">2</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2948621" role="tablecontent" localize="false" xml-lang="en-US">151</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2948987" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2949417" role="tablehead" localize="false" xml-lang="en-US">3</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2948661" role="tablecontent" localize="false" xml-lang="en-US">148</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2951128" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2948467" role="tablehead" localize="false" xml-lang="en-US">4</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2949237" role="tablecontent" localize="false" xml-lang="en-US">189</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2945304" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2949927" role="tablehead" localize="false" xml-lang="en-US">5</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2950630" role="tablecontent" localize="false" xml-lang="en-US">183</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2950423" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id2943275" role="tablehead" localize="false" xml-lang="en-US">6</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2944750" role="tablecontent" localize="false" xml-lang="en-US">154</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id2953947" role="tablecontent" localize="false" xml-lang="en-US">170</paragraph>
</tablecell>
</tablerow>
</table>
</section>
<paragraph id="par_id2949481" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.TEST(A1:A6;B1:B6)</item> equals 0.0209708029. This is the probability which suffices the observed data of the theoretical Chi-square distribution.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873989703" localize="false"><literal>COM.MICROSOFT.CHISQ.TEST</literal></paragraph>
</section>
<section id="chidist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3148690">
<bookmark_value>CHIDIST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHIVERT" id="bm_id3147521" localize="false"/>
<h2 id="hd_id3148690">CHIDIST</h2>
<paragraph id="par_id3156338" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHIVERT">Returns the probability value from the indicated Chi square that a hypothesis is confirmed.</ahelp> CHIDIST compares the Chi square value to be given for a random sample that is calculated from the sum of (observed value-expected value)^2/expected value for all values with the theoretical Chi square distribution and determines from this the probability of error for the hypothesis to be tested.</paragraph>
<paragraph id="par_id3151316" role="paragraph" xml-lang="en-US">The probability determined by CHIDIST can also be determined by CHITEST.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3158439" role="code" xml-lang="en-US">CHIDIST(Number; DegreesFreedom)</paragraph>
<paragraph id="par_id3148675" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the chi-square value of the random sample used to determine the error probability.</paragraph>
<paragraph id="par_id3155615" role="paragraph" xml-lang="en-US"><emph>DegreesFreedom</emph> are the degrees of freedom of the experiment.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3145774" role="paragraph" xml-lang="en-US"><item type="input">=CHIDIST(13.27; 5)</item> equals 0.02.</paragraph>
<paragraph id="par_id3156141" role="paragraph" xml-lang="en-US">If the Chi square value of the random sample is 13.27 and if the experiment has 5 degrees of freedom, then the hypothesis is assured with a probability of error of 2%.</paragraph>
</section>
<section id="chisqdotdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id2848690">
<bookmark_value>CHISQ.DIST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHISQDIST_MS" id="bm_id2947521" localize="false"/>
<h2 id="hd_id2848690">CHISQ.DIST</h2>
<paragraph id="par_id2856338" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHISQDIST_MS">Returns the probability density function or the cumulative distribution function for the chi-square distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2858439" role="code" xml-lang="en-US">CHISQ.DIST(Number; DegreesFreedom; Cumulative)</paragraph>
<paragraph id="par_id2848675" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the chi-square value of the random sample used to determine the error probability.</paragraph>
<paragraph id="par_id2855615" role="paragraph" xml-lang="en-US"><emph>DegreesFreedom</emph> are the degrees of freedom of the experiment.</paragraph>
<paragraph id="par_id282020091254453" role="paragraph" xml-lang="en-US"><emph>Cumulative</emph> can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2845774" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.DIST(3; 2; 0) </item>equals 0.1115650801, the probability density function with 2 degrees of freedom, at x = 3.</paragraph>
<paragraph id="par_id2745774" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.DIST(3; 2; 1) </item>equals 0.7768698399, the cumulative chi-square distribution with 2 degrees of freedom, at the value x = 3.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341640873984703" localize="false"><literal>COM.MICROSOFT.CHISQ.DIST</literal></paragraph>
</section>
<section id="chisqdotdistdotrt">
<bookmark xml-lang="en-US" branch="index" id="bm_id2948690">
<bookmark_value>CHISQ.DIST.RT function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHIVERT_MS" id="bm_id2947522" localize="false"/>
<h2 id="hd_id2948690">CHISQ.DIST.RT</h2>
<paragraph id="par_id2956338" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_CHIVERT_MS">Returns the probability value from the indicated Chi square that a hypothesis is confirmed.</ahelp> CHISQ.DIST.RT compares the Chi square value to be given for a random sample that is calculated from the sum of (observed value-expected value)^2/expected value for all values with the theoretical Chi square distribution and determines from this the probability of error for the hypothesis to be tested.</paragraph>
<paragraph id="par_id2951316" role="paragraph" xml-lang="en-US">The probability determined by CHISQ.DIST.RT can also be determined by CHITEST.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2958439" role="code" xml-lang="en-US">CHISQ.DIST.RT(Number; DegreesFreedom)</paragraph>
<paragraph id="par_id2948675" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the chi-square value of the random sample used to determine the error probability.</paragraph>
<paragraph id="par_id2955615" role="paragraph" xml-lang="en-US"><emph>DegreesFreedom</emph> are the degrees of freedom of the experiment.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2945774" role="paragraph" xml-lang="en-US"><item type="input">=CHISQ.DIST.RT(13.27; 5)</item> equals 0.0209757694.</paragraph>
<paragraph id="par_id2956141" role="paragraph" xml-lang="en-US">If the Chi square value of the random sample is 13.27 and if the experiment has 5 degrees of freedom, then the hypothesis is assured with a probability of error of 2%.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id343640873986703" localize="false"><literal>COM.MICROSOFT.CHISQ.DIST.RT</literal></paragraph>
</section>
<section id="chisqdist">
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_CHISQDIST" id="bm_id0119200902213671" localize="false"/>
<bookmark xml-lang="en-US" branch="index" id="bm_id0119200902231887">
<bookmark_value>CHISQDIST function</bookmark_value>
<bookmark_value>chi-square distribution</bookmark_value>
</bookmark>
<h2 id="hd_id0119200901583452">CHISQDIST</h2>
<paragraph id="par_id0119200901583471" role="paragraph" xml-lang="en-US"><ahelp hid=".">Returns the value of the probability density function or the cumulative distribution function for the chi-square distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id0119200902395679" role="code" xml-lang="en-US">CHISQDIST(Number; Degrees Of Freedom [; Cumulative])</paragraph>
<paragraph id="par_id011920090239564" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the number for which the function is to be calculated.</paragraph>
<paragraph id="par_id0119200902395660" role="paragraph" xml-lang="en-US"><emph>Degrees Of Freedom</emph> is the degrees of freedom for the chi-square function.</paragraph>
<paragraph id="par_id0119200902395623" role="paragraph" xml-lang="en-US"><emph>Cumulative</emph> (optional): 0 or False calculates the probability density function. Other values or True or omitted calculates the cumulative distribution function.</paragraph>
</section>
<section id="expondist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150603">
<bookmark_value>EXPONDIST function</bookmark_value>
<bookmark_value>exponential distributions</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_EXPONVERT" id="bm_id3152962" localize="false"/>
<h2 id="hd_id3150603">EXPONDIST</h2>
<paragraph id="par_id3149563" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_EXPONVERT">Returns the exponential distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id3150987" role="code" xml-lang="en-US">EXPONDIST(Number; Lambda; C)</paragraph>
<paragraph id="par_id3154663" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the value of the function.</paragraph>
<paragraph id="par_id3154569" role="paragraph" xml-lang="en-US"><emph>Lambda</emph> is the parameter value.</paragraph><comment>UFI removed a double bookmark</comment>
<paragraph id="par_id3147332" role="paragraph" xml-lang="en-US"><emph>C</emph> is a logical value that determines the form of the function. <emph>C = 0</emph> calculates the density function, and <emph>C = 1</emph> calculates the distribution.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id3150357" role="paragraph" xml-lang="en-US"><item type="input">=EXPONDIST(3;0.5;1)</item> returns 0.78.</paragraph>
</section>
<section id="expondotdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id2950603">
<bookmark_value>EXPON.DIST function</bookmark_value>
<bookmark_value>exponential distributions</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_EXP_DIST_MS" id="bm_id2952962" localize="false"/>
<h2 id="hd_id2950603">EXPON.DIST</h2>
<paragraph id="par_id2949563" role="paragraph" xml-lang="en-US"><ahelp hid="HID_FUNC_EXP_DIST_MS">Returns the exponential distribution.</ahelp></paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionsyntax"/>
<paragraph id="par_id2950987" role="code" xml-lang="en-US">EXPON.DIST(Number; Lambda; C)</paragraph>
<paragraph id="par_id2954663" role="paragraph" xml-lang="en-US"><emph>Number</emph> is the value of the function.</paragraph>
<paragraph id="par_id2954569" role="paragraph" xml-lang="en-US"><emph>Lambda</emph> is the parameter value.</paragraph><comment>UFI removed a double bookmark</comment>
<paragraph id="par_id2947332" role="paragraph" xml-lang="en-US"><emph>C</emph> is a logical value that determines the form of the function. <emph>C = 0</emph> calculates the density function, and <emph>C = 1</emph> calculates the distribution.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectionexample"/>
<paragraph id="par_id2950357" role="paragraph" xml-lang="en-US"><item type="input">=EXPON.DIST(3;0.5;1)</item> returns 0.7768698399.</paragraph>
<embed href="text/scalc/01/common_func.xhp#sectiontechinfo"/>
<embed href="text/scalc/00/avail_release.xhp#4.2"/>
<embed href="text/scalc/01/common_func.xhp#notODFF"/>
<paragraph role="paragraph" id="par_id341660873986703" localize="false"><literal>COM.MICROSOFT.EXPON.DIST</literal></paragraph>
</section>
</sort>
<section id="relatedtopics">
<embed href="text/scalc/01/04060100.xhp#drking"/>
</section>
</body>
</helpdocument>
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