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<?xml version="1.0" encoding="UTF-8"?>
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<meta>
<topic id="textscalc0104060185xml" indexer="include">
<title id="tit" xml-lang="en-US">Statistical Functions Part Five</title>
<filename>/text/scalc/01/04060185.xhp</filename>
</topic>
</meta>
<body>
<paragraph role="heading" id="hd_id3147072" xml-lang="en-US" level="1" l10n="U" oldref="1"><variable id="rz"><link href="text/scalc/01/04060185.xhp" name="Statistical Functions Part Five">Statistical Functions Part Five</link>
</variable></paragraph>
<sort order="asc">
<section id="rank">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155071"><bookmark_value>RANK function</bookmark_value>
<bookmark_value>numbers;determining ranks</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_RANG" id="bm_id3146778" localize="false"/>
<paragraph role="heading" id="hd_id3155071" xml-lang="en-US" level="2" l10n="U" oldref="2">RANK</paragraph>
<paragraph role="paragraph" id="par_id3153976" xml-lang="en-US" l10n="U" oldref="3"><ahelp hid="HID_FUNC_RANG">Returns the rank of a number in a sample.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3159206" xml-lang="en-US" level="3" l10n="U" oldref="4">Syntax</paragraph>
<paragraph role="code" id="par_id3153250" xml-lang="en-US" l10n="U" oldref="5">RANK(Value; Data; Type)</paragraph>
<paragraph role="paragraph" id="par_id3154543" xml-lang="en-US" l10n="U" oldref="6">
<emph>Value</emph> is the value, whose rank is to be determined.</paragraph>
<paragraph role="paragraph" id="par_id3149130" xml-lang="en-US" l10n="U" oldref="7">
<emph>Data</emph> is the array or range of data in the sample.</paragraph>
<paragraph role="paragraph" id="par_id3150215" xml-lang="en-US" l10n="CHG" oldref="8">
<emph>Type</emph> (optional) is the sequence order.</paragraph>
<paragraph role="paragraph" id="par_id9305398" xml-lang="en-US" l10n="NEW">Type = 0 means descending from the last item of the array to the first (this is the default), </paragraph>
<paragraph role="paragraph" id="par_id9996948" xml-lang="en-US" l10n="NEW">Type = 1 means ascending from the first item of the range to the last.</paragraph>
<paragraph role="heading" id="hd_id3143223" xml-lang="en-US" level="3" l10n="U" oldref="9">Example</paragraph>
<paragraph role="paragraph" id="par_id3155919" xml-lang="en-US" l10n="U" oldref="10">
<item type="input">=RANK(A10;A1:A50)</item> returns the ranking of the value in A10 in value range A1:A50. If <item type="literal">Value</item> does not exist within the range an error message is displayed.</paragraph>
</section>
<section id="skew">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153556"><bookmark_value>SKEW function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SCHIEFE" id="bm_id3153801" localize="false"/>
<paragraph role="heading" id="hd_id3153556" xml-lang="en-US" level="2" l10n="U" oldref="12">SKEW</paragraph>
<paragraph role="paragraph" id="par_id3153485" xml-lang="en-US" l10n="U" oldref="13"><ahelp hid="HID_FUNC_SCHIEFE">Returns the skewness of a distribution.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3154733" xml-lang="en-US" level="3" l10n="U" oldref="14">Syntax</paragraph>
<paragraph role="code" id="par_id3151191" xml-lang="en-US" l10n="U" oldref="15">SKEW(Number1; Number2; ...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3155757" xml-lang="en-US" l10n="CHG" oldref="16">
<emph>Number1, Number2...Number30</emph> are numerical values or ranges.</paragraph>
<paragraph role="heading" id="hd_id3153297" xml-lang="en-US" level="3" l10n="U" oldref="17">Example</paragraph>
<paragraph role="paragraph" id="par_id3145118" xml-lang="en-US" l10n="U" oldref="18">
<item type="input">=SKEW(A1:A50)</item> calculates the value of skew for the data referenced.</paragraph>
</section>
<section id="forecast">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149051"><bookmark_value>regression lines;FORECAST function</bookmark_value>
<bookmark_value>extrapolations</bookmark_value>
<bookmark_value>FORECAST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SCHAETZER" id="bm_id3146102" localize="false"/><comment>mw made "regression lines" a two level entry</comment>
<paragraph role="heading" id="hd_id3149051" xml-lang="en-US" level="2" l10n="U" oldref="20">FORECAST</paragraph>
<paragraph role="paragraph" id="par_id3153290" xml-lang="en-US" l10n="U" oldref="21"><ahelp hid="HID_FUNC_SCHAETZER">Extrapolates future values based on existing x and y values.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3151343" xml-lang="en-US" level="3" l10n="U" oldref="22">Syntax</paragraph>
<paragraph role="code" id="par_id3147404" xml-lang="en-US" l10n="U" oldref="23">FORECAST(Value; DataY; DataX)</paragraph>
<paragraph role="paragraph" id="par_id3148743" xml-lang="en-US" l10n="U" oldref="24">
<emph>Value</emph> is the x value, for which the y value on the linear regression is to be returned.</paragraph>
<paragraph role="paragraph" id="par_id3146325" xml-lang="en-US" l10n="U" oldref="25">
<emph>DataY</emph> is the array or range of known y's.</paragraph>
<paragraph role="paragraph" id="par_id3150536" xml-lang="en-US" l10n="U" oldref="26">
<emph>DataX</emph> is the array or range of known x's.</paragraph>
<paragraph role="heading" id="hd_id3147416" xml-lang="en-US" level="3" l10n="U" oldref="27">Example</paragraph>
<paragraph role="paragraph" id="par_id3157874" xml-lang="en-US" l10n="U" oldref="28">
<item type="input">=FORECAST(50;A1:A50;B1;B50)</item> returns the Y value expected for the X value of 50 if the X and Y values in both references are linked by a linear trend.</paragraph>
</section>
<section id="stdev">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149143"><bookmark_value>STDEV function</bookmark_value>
<bookmark_value>standard deviations in statistics;based on a sample</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STABW" id="bm_id3153121" localize="false"/>
<paragraph role="heading" id="hd_id3149143" xml-lang="en-US" level="2" l10n="U" oldref="30">STDEV</paragraph>
<paragraph role="paragraph" id="par_id3146888" xml-lang="en-US" l10n="U" oldref="31"><ahelp hid="HID_FUNC_STABW">Estimates the standard deviation based on a sample.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3146815" xml-lang="en-US" level="3" l10n="U" oldref="32">Syntax</paragraph>
<paragraph role="code" id="par_id3149946" xml-lang="en-US" l10n="U" oldref="33">STDEV(Number1; Number2; ...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3157904" xml-lang="en-US" l10n="CHG" oldref="34">
<emph>Number1, Number2, ... Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
<paragraph role="heading" id="hd_id3150650" xml-lang="en-US" level="3" l10n="U" oldref="35">Example</paragraph>
<paragraph role="paragraph" id="par_id3149434" xml-lang="en-US" l10n="U" oldref="36">
<item type="input">=STDEV(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
</section>
<section id="stdeva">
<bookmark xml-lang="en-US" branch="index" id="bm_id3144745"><bookmark_value>STDEVA function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STABWA" id="bm_id3154846" localize="false"/>
<paragraph role="heading" id="hd_id3144745" xml-lang="en-US" level="2" l10n="U" oldref="186">STDEVA</paragraph>
<paragraph role="paragraph" id="par_id3151234" xml-lang="en-US" l10n="U" oldref="187"><ahelp hid="HID_FUNC_STABWA">Calculates the standard deviation of an estimation based on a sample.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3148884" xml-lang="en-US" level="3" l10n="U" oldref="188">Syntax</paragraph>
<paragraph role="code" id="par_id3147422" xml-lang="en-US" l10n="U" oldref="189">STDEVA(Value1;Value2;...Value30)</paragraph>
<paragraph role="paragraph" id="par_id3154547" xml-lang="en-US" l10n="CHG" oldref="190">
<emph>Value1, Value2, ...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
<paragraph role="heading" id="hd_id3155829" xml-lang="en-US" level="3" l10n="U" oldref="191">Example</paragraph>
<paragraph role="paragraph" id="par_id3148581" xml-lang="en-US" l10n="U" oldref="192">
<item type="input">=STDEVA(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
</section>
<section id="stdevp">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149734"><bookmark_value>STDEVP function</bookmark_value>
<bookmark_value>standard deviations in statistics;based on a population</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STABWN" id="bm_id3146139" localize="false"/>
<paragraph role="heading" id="hd_id3149734" xml-lang="en-US" level="2" l10n="U" oldref="38">STDEVP</paragraph>
<paragraph role="paragraph" id="par_id3149187" xml-lang="en-US" l10n="U" oldref="39"><ahelp hid="HID_FUNC_STABWN">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3154387" xml-lang="en-US" level="3" l10n="U" oldref="40">Syntax</paragraph>
<paragraph role="code" id="par_id3154392" xml-lang="en-US" l10n="U" oldref="41">STDEVP(Number1;Number2;...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3155261" xml-lang="en-US" l10n="CHG" oldref="42">
<emph>Number 1,Number 2,...Number 30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
<paragraph role="heading" id="hd_id3145591" xml-lang="en-US" level="3" l10n="U" oldref="43">Example</paragraph>
<paragraph role="paragraph" id="par_id3153933" xml-lang="en-US" l10n="U" oldref="44">
<item type="input">=STDEVP(A1:A50)</item> returns a standard deviation of the data referenced.</paragraph>
</section>
<section id="stdevpa">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154522"><bookmark_value>STDEVPA function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STABWNA" id="bm_id3150902" localize="false"/>
<paragraph role="heading" id="hd_id3154522" xml-lang="en-US" level="2" l10n="U" oldref="194">STDEVPA</paragraph>
<paragraph role="paragraph" id="par_id3149549" xml-lang="en-US" l10n="U" oldref="195"><ahelp hid="HID_FUNC_STABWNA">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3155950" xml-lang="en-US" level="3" l10n="U" oldref="196">Syntax</paragraph>
<paragraph role="code" id="par_id3146851" xml-lang="en-US" l10n="U" oldref="197">STDEVPA(Value1;Value2;...Value30)</paragraph>
<paragraph role="paragraph" id="par_id3153109" xml-lang="en-US" l10n="CHG" oldref="198">
<emph>Value1,value2,...value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
<paragraph role="heading" id="hd_id3154506" xml-lang="en-US" level="3" l10n="U" oldref="199">Example</paragraph>
<paragraph role="paragraph" id="par_id3145163" xml-lang="en-US" l10n="U" oldref="200">
<item type="input">=STDEVPA(A1:A50)</item> returns the standard deviation of the data referenced.</paragraph>
</section>
<section id="standardize">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155928"><bookmark_value>STANDARDIZE function</bookmark_value>
<bookmark_value>converting;random variables, into normalized values</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STANDARDISIERUNG" id="bm_id3148764" localize="false"/>
<paragraph role="heading" id="hd_id3155928" xml-lang="en-US" level="2" l10n="U" oldref="46">STANDARDIZE</paragraph>
<paragraph role="paragraph" id="par_id3149883" xml-lang="en-US" l10n="U" oldref="47"><ahelp hid="HID_FUNC_STANDARDISIERUNG">Converts a random variable to a normalized value.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3154330" xml-lang="en-US" level="3" l10n="U" oldref="48">Syntax</paragraph>
<paragraph role="code" id="par_id3150132" xml-lang="en-US" l10n="U" oldref="49">STANDARDIZE(Number; Mean; StDev)</paragraph>
<paragraph role="paragraph" id="par_id3159139" xml-lang="en-US" l10n="U" oldref="50">
<emph>Number</emph> is the value to be standardized.</paragraph>
<paragraph role="paragraph" id="par_id3145241" xml-lang="en-US" l10n="U" oldref="51">
<emph>Mean</emph> is the arithmetic mean of the distribution.</paragraph>
<paragraph role="paragraph" id="par_id3148874" xml-lang="en-US" l10n="U" oldref="52">
<emph>StDev</emph> is the standard deviation of the distribution.</paragraph>
<paragraph role="heading" id="hd_id3145351" xml-lang="en-US" level="3" l10n="U" oldref="53">Example</paragraph>
<paragraph role="paragraph" id="par_id3156067" xml-lang="en-US" l10n="U" oldref="54">
<item type="input">=STANDARDIZE(11;10;1)</item> returns 1. The value 11 in a normal distribution with a mean of 10 and a standard deviation of 1 is as much above the mean of 10, as the value 1 is above the mean of the standard normal distribution.</paragraph>
</section>
<section id="normsinv">
<bookmark xml-lang="en-US" branch="index" id="bm_id3157986"><bookmark_value>NORMSINV function</bookmark_value>
<bookmark_value>normal distribution;inverse of standard</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STANDNORMINV" id="bm_id3148389" localize="false"/>
<paragraph role="heading" id="hd_id3157986" xml-lang="en-US" level="2" l10n="U" oldref="56">NORMSINV</paragraph>
<paragraph role="paragraph" id="par_id3151282" xml-lang="en-US" l10n="U" oldref="57"><ahelp hid="HID_FUNC_STANDNORMINV">Returns the inverse of the standard normal cumulative distribution.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3153261" xml-lang="en-US" level="3" l10n="U" oldref="58">Syntax</paragraph>
<paragraph role="code" id="par_id3154195" xml-lang="en-US" l10n="U" oldref="59">NORMINV(Number)</paragraph>
<paragraph role="paragraph" id="par_id3148772" xml-lang="en-US" l10n="U" oldref="60">
<emph>Number</emph> is the probability to which the inverse standard normal distribution is calculated.</paragraph>
<paragraph role="heading" id="hd_id3150934" xml-lang="en-US" level="3" l10n="U" oldref="61">Example</paragraph>
<paragraph role="paragraph" id="par_id3149030" xml-lang="en-US" l10n="U" oldref="62">
<item type="input">=NORMSINV(0.908789)</item> returns 1.3333.</paragraph>
</section>
<section id="normsdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3147538"><bookmark_value>NORMSDIST function</bookmark_value>
<bookmark_value>normal distribution;statistics</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STANDNORMVERT" id="bm_id3145269" localize="false"/>
<paragraph role="heading" id="hd_id3147538" xml-lang="en-US" level="2" l10n="U" oldref="64">NORMSDIST</paragraph>
<paragraph role="paragraph" id="par_id3150474" xml-lang="en-US" l10n="CHG" oldref="65"><ahelp hid="HID_FUNC_STANDNORMVERT">Returns the standard normal cumulative distribution function. The distribution has a mean of zero and a standard deviation of one.</ahelp></paragraph>
<paragraph role="paragraph" id="par_id8652302" xml-lang="en-US" l10n="NEW">It is GAUSS(x)=NORMSDIST(x)-0.5</paragraph>
<paragraph role="heading" id="hd_id3155083" xml-lang="en-US" level="3" l10n="U" oldref="66">Syntax</paragraph>
<paragraph role="code" id="par_id3158411" xml-lang="en-US" l10n="U" oldref="67">NORMSDIST(Number)</paragraph>
<paragraph role="paragraph" id="par_id3154950" xml-lang="en-US" l10n="CHG" oldref="68">
<emph>Number</emph> is the value to which the standard normal cumulative distribution is calculated.</paragraph>
<paragraph role="heading" id="hd_id3153228" xml-lang="en-US" level="3" l10n="U" oldref="69">Example</paragraph>
<paragraph role="paragraph" id="par_id3155984" xml-lang="en-US" l10n="U" oldref="70">
<item type="input">=NORMSDIST(1)</item> returns 0.84. The area below the standard normal distribution curve to the left of X value 1 is 84% of the total area.</paragraph>
</section>
<section id="slope">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152592"><bookmark_value>SLOPE function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STEIGUNG" id="bm_id3153716" localize="false"/>
<paragraph role="heading" id="hd_id3152592" xml-lang="en-US" level="2" l10n="U" oldref="72">SLOPE</paragraph>
<paragraph role="paragraph" id="par_id3150386" xml-lang="en-US" l10n="U" oldref="73"><ahelp hid="HID_FUNC_STEIGUNG">Returns the slope of the linear regression line.</ahelp> The slope is adapted to the data points set in the y and x values.</paragraph>
<paragraph role="heading" id="hd_id3154315" xml-lang="en-US" level="3" l10n="U" oldref="74">Syntax</paragraph>
<paragraph role="code" id="par_id3149819" xml-lang="en-US" l10n="U" oldref="75">SLOPE(DataY; DataX)</paragraph>
<paragraph role="paragraph" id="par_id3083446" xml-lang="en-US" l10n="U" oldref="76">
<emph>DataY</emph> is the array or matrix of Y data.</paragraph>
<paragraph role="paragraph" id="par_id3152375" xml-lang="en-US" l10n="U" oldref="77">
<emph>DataX</emph> is the array or matrix of X data.</paragraph>
<paragraph role="heading" id="hd_id3146061" xml-lang="en-US" level="3" l10n="U" oldref="78">Example</paragraph>
<paragraph role="paragraph" id="par_id3152480" xml-lang="en-US" l10n="U" oldref="79">
<item type="input">=SLOPE(A1:A50;B1:B50)</item>
</paragraph>
</section>
<section id="steyx">
<bookmark xml-lang="en-US" branch="index" id="bm_id3155836"><bookmark_value>STEYX function</bookmark_value>
<bookmark_value>standard errors;statistical functions</bookmark_value>
</bookmark><comment>mw changed "standard errors"</comment>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_STFEHLERYX" id="bm_id3150964" localize="false"/>
<paragraph role="heading" id="hd_id3155836" xml-lang="en-US" level="2" l10n="U" oldref="81">STEYX</paragraph>
<paragraph role="paragraph" id="par_id3149446" xml-lang="en-US" l10n="U" oldref="82"><ahelp hid="HID_FUNC_STFEHLERYX">Returns the standard error of the predicted y value for each x in the regression.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3147562" xml-lang="en-US" level="3" l10n="U" oldref="83">Syntax</paragraph>
<paragraph role="code" id="par_id3151267" xml-lang="en-US" l10n="U" oldref="84">STEYX(DataY; DataX)</paragraph>
<paragraph role="paragraph" id="par_id3147313" xml-lang="en-US" l10n="U" oldref="85">
<emph>DataY</emph> is the array or matrix of Y data.</paragraph>
<paragraph role="paragraph" id="par_id3156097" xml-lang="en-US" l10n="U" oldref="86">
<emph>DataX</emph> is the array or matrix of X data.</paragraph>
<paragraph role="heading" id="hd_id3145204" xml-lang="en-US" level="3" l10n="U" oldref="87">Example</paragraph>
<paragraph role="paragraph" id="par_id3156131" xml-lang="en-US" l10n="U" oldref="88">
<item type="input">=STEXY(A1:A50;B1:B50)</item>
</paragraph>
</section>
<section id="devsq">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150873"><bookmark_value>DEVSQ function</bookmark_value>
<bookmark_value>sums;of squares of deviations</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_SUMQUADABW" id="bm_id3156317" localize="false"/>
<paragraph role="heading" id="hd_id3150873" xml-lang="en-US" level="2" l10n="U" oldref="90">DEVSQ</paragraph>
<paragraph role="paragraph" id="par_id3154748" xml-lang="en-US" l10n="U" oldref="91"><ahelp hid="HID_FUNC_SUMQUADABW">Returns the sum of squares of deviations based on a sample mean.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3156121" xml-lang="en-US" level="3" l10n="U" oldref="92">Syntax</paragraph>
<paragraph role="code" id="par_id3146790" xml-lang="en-US" l10n="U" oldref="93">DEVSQ(Number1; Number2; ...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3155995" xml-lang="en-US" l10n="CHG" oldref="94">
<emph>Number1, Number2, ...Number30</emph> numerical values or ranges representing a sample. </paragraph>
<paragraph role="heading" id="hd_id3150254" xml-lang="en-US" level="3" l10n="U" oldref="95">Example</paragraph>
<paragraph role="paragraph" id="par_id3149136" xml-lang="en-US" l10n="U" oldref="96">
<item type="input">=DEVSQ(A1:A50)</item>
</paragraph>
</section>
<section id="tinv">
<bookmark xml-lang="en-US" branch="index" id="bm_id3149579"><bookmark_value>TINV function</bookmark_value>
<bookmark_value>inverse of t-distribution</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TINV" id="bm_id3153155" localize="false"/>
<paragraph role="heading" id="hd_id3149579" xml-lang="en-US" level="2" l10n="U" oldref="98">TINV</paragraph>
<paragraph role="paragraph" id="par_id3143232" xml-lang="en-US" l10n="U" oldref="99"><ahelp hid="HID_FUNC_TINV">Returns the inverse of the t-distribution.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3155101" xml-lang="en-US" level="3" l10n="U" oldref="100">Syntax</paragraph>
<paragraph role="code" id="par_id3149289" xml-lang="en-US" l10n="U" oldref="101">TINV(Number; DegreesFreedom)</paragraph>
<paragraph role="paragraph" id="par_id3154070" xml-lang="en-US" l10n="U" oldref="102">
<emph>Number</emph> is the probability associated with the two-tailed t-distribution.</paragraph>
<paragraph role="paragraph" id="par_id3155315" xml-lang="en-US" l10n="U" oldref="103">
<emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
<paragraph role="heading" id="hd_id3153885" xml-lang="en-US" level="3" l10n="U" oldref="104">Example</paragraph>
<paragraph role="paragraph" id="par_id3156010" xml-lang="en-US" l10n="CHG" oldref="105">
<item type="input">=TINV(0.1;6)</item> returns 1.94</paragraph>
</section>
<section id="ttest">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154129"><bookmark_value>TTEST function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TTEST" id="bm_id3153981" localize="false"/>
<paragraph role="heading" id="hd_id3154129" xml-lang="en-US" level="2" l10n="U" oldref="107">TTEST</paragraph>
<paragraph role="paragraph" id="par_id3159184" xml-lang="en-US" l10n="U" oldref="108"><ahelp hid="HID_FUNC_TTEST">Returns the probability associated with a Student's t-Test.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3147257" xml-lang="en-US" level="3" l10n="U" oldref="109">Syntax</paragraph>
<paragraph role="code" id="par_id3151175" xml-lang="en-US" l10n="U" oldref="110">TTEST(Data1; Data2; Mode; Type)</paragraph>
<paragraph role="paragraph" id="par_id3149202" xml-lang="en-US" l10n="U" oldref="111">
<emph>Data1</emph> is the dependent array or range of data for the first record.</paragraph>
<paragraph role="paragraph" id="par_id3145666" xml-lang="en-US" l10n="U" oldref="112">
<emph>Data2</emph> is the dependent array or range of data for the second record.</paragraph>
<paragraph role="paragraph" id="par_id3153903" xml-lang="en-US" l10n="U" oldref="113">
<emph>Mode</emph> = 1 calculates the one-tailed test, <emph>Mode</emph> = 2 the two- tailed test.</paragraph>
<paragraph role="paragraph" id="par_id3155327" xml-lang="en-US" l10n="U" oldref="114">
<emph>Type</emph> is the kind of t-test to perform. Type 1 means paired. Type 2 means two samples, equal variance (homoscedastic). Type 3 means two samples, unequal variance (heteroscedastic).</paragraph>
<paragraph role="heading" id="hd_id3159342" xml-lang="en-US" level="3" l10n="U" oldref="115">Example</paragraph>
<paragraph role="paragraph" id="par_id3150119" xml-lang="en-US" l10n="U" oldref="116">
<item type="input">=TTEST(A1:A50;B1:B50;2;2)</item>
</paragraph>
</section>
<section id="tdist">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154930"><bookmark_value>TDIST function</bookmark_value>
<bookmark_value>t-distribution</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_TVERT" id="bm_id3153095" localize="false"/>
<paragraph role="heading" id="hd_id3154930" xml-lang="en-US" level="2" l10n="U" oldref="118">TDIST</paragraph>
<paragraph role="paragraph" id="par_id3153372" xml-lang="en-US" l10n="U" oldref="119"><ahelp hid="HID_FUNC_TVERT">Returns the t-distribution.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3149911" xml-lang="en-US" level="3" l10n="U" oldref="120">Syntax</paragraph>
<paragraph role="code" id="par_id3150521" xml-lang="en-US" l10n="U" oldref="121">TDIST(Number; DegreesFreedom; Mode)</paragraph>
<paragraph role="paragraph" id="par_id3146991" xml-lang="en-US" l10n="U" oldref="122">
<emph>Number</emph> is the value for which the t-distribution is calculated.</paragraph>
<paragraph role="paragraph" id="par_id3148824" xml-lang="en-US" l10n="U" oldref="123">
<emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
<paragraph role="paragraph" id="par_id3149340" xml-lang="en-US" l10n="U" oldref="124">
<emph>Mode</emph> = 1 returns the one-tailed test, <emph>Mode</emph> = 2 returns the two-tailed test.</paragraph>
<paragraph role="heading" id="hd_id3159150" xml-lang="en-US" level="3" l10n="U" oldref="125">Example</paragraph>
<paragraph role="paragraph" id="par_id3149773" xml-lang="en-US" l10n="U" oldref="126">
<item type="input">=TDIST(12;5;1)</item>
</paragraph>
</section>
<section id="var">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153828"><bookmark_value>VAR function</bookmark_value>
<bookmark_value>variances</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIANZ" id="bm_id3154898" localize="false"/>
<paragraph role="heading" id="hd_id3153828" xml-lang="en-US" level="2" l10n="U" oldref="128">VAR</paragraph>
<paragraph role="paragraph" id="par_id3159165" xml-lang="en-US" l10n="U" oldref="129"><ahelp hid="HID_FUNC_VARIANZ">Estimates the variance based on a sample.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3154286" xml-lang="en-US" level="3" l10n="U" oldref="130">Syntax</paragraph>
<paragraph role="code" id="par_id3153054" xml-lang="en-US" l10n="U" oldref="131">VAR(Number1; Number2; ...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3148938" xml-lang="en-US" l10n="CHG" oldref="132">
<emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
<paragraph role="heading" id="hd_id3147233" xml-lang="en-US" level="3" l10n="U" oldref="133">Example</paragraph>
<paragraph role="paragraph" id="par_id3153575" xml-lang="en-US" l10n="U" oldref="134">
<item type="input">=VAR(A1:A50)</item>
</paragraph>
</section>
<section id="vara">
<bookmark xml-lang="en-US" branch="index" id="bm_id3151045"><bookmark_value>VARA function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIANZA" id="bm_id3148473" localize="false"/>
<paragraph role="heading" id="hd_id3151045" xml-lang="en-US" level="2" l10n="U" oldref="202">VARA</paragraph>
<paragraph role="paragraph" id="par_id3155122" xml-lang="en-US" l10n="U" oldref="203"><ahelp hid="HID_FUNC_VARIANZA">Estimates a variance based on a sample. The value of text is 0.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3149176" xml-lang="en-US" level="3" l10n="U" oldref="204">Syntax</paragraph>
<paragraph role="code" id="par_id3149999" xml-lang="en-US" l10n="U" oldref="205">VARA(Value1; Value2; ...Value30)</paragraph>
<paragraph role="paragraph" id="par_id3158421" xml-lang="en-US" l10n="CHG" oldref="206">
<emph>Value1, Value2,...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
<paragraph role="heading" id="hd_id3149160" xml-lang="en-US" level="3" l10n="U" oldref="207">Example</paragraph>
<paragraph role="paragraph" id="par_id3154279" xml-lang="en-US" l10n="U" oldref="208">
<item type="input">=VARA(A1:A50)</item>
</paragraph>
</section>
<section id="varp">
<bookmark xml-lang="en-US" branch="index" id="bm_id3166441"><bookmark_value>VARP function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIANZEN" id="bm_id3152359" localize="false"/>
<paragraph role="heading" id="hd_id3166441" xml-lang="en-US" level="2" l10n="U" oldref="136">VARP</paragraph>
<paragraph role="paragraph" id="par_id3159199" xml-lang="en-US" l10n="U" oldref="137"><ahelp hid="HID_FUNC_VARIANZEN">Calculates a variance based on the entire population.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3150706" xml-lang="en-US" level="3" l10n="U" oldref="138">Syntax</paragraph>
<paragraph role="code" id="par_id3147282" xml-lang="en-US" l10n="U" oldref="139">VARP(Number1; Number2; ...Number30)</paragraph>
<paragraph role="paragraph" id="par_id3149793" xml-lang="en-US" l10n="CHG" oldref="140">
<emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing an entire population.</paragraph>
<paragraph role="heading" id="hd_id3152939" xml-lang="en-US" level="3" l10n="U" oldref="141">Example</paragraph>
<paragraph role="paragraph" id="par_id3153385" xml-lang="en-US" l10n="U" oldref="142">
<item type="input">=VARP(A1:A50)</item>
</paragraph>
</section>
<section id="varpa">
<bookmark xml-lang="en-US" branch="index" id="bm_id3153688"><bookmark_value>VARPA function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIANZENA" id="bm_id3159276" localize="false"/>
<paragraph role="heading" id="hd_id3153688" xml-lang="en-US" level="2" l10n="U" oldref="210">VARPA</paragraph>
<paragraph role="paragraph" id="par_id3149109" xml-lang="en-US" l10n="U" oldref="211"><ahelp hid="HID_FUNC_VARIANZENA">Calculates the variance based on the entire population. The value of text is 0.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3152880" xml-lang="en-US" level="3" l10n="U" oldref="212">Syntax</paragraph>
<paragraph role="code" id="par_id3149967" xml-lang="en-US" l10n="U" oldref="213">VARPA(Value1; Value2; ...Value30)</paragraph>
<paragraph role="paragraph" id="par_id3149920" xml-lang="en-US" l10n="CHG" oldref="214">
<emph>Value1,value2,...Value30</emph> are values or ranges representing an entire population.</paragraph>
<paragraph role="heading" id="hd_id3154862" xml-lang="en-US" level="3" l10n="U" oldref="215">Example</paragraph>
<paragraph role="paragraph" id="par_id3156203" xml-lang="en-US" l10n="U" oldref="216">
<item type="input">=VARPA(A1:A50)</item>
</paragraph>
</section>
<section id="permut">
<bookmark xml-lang="en-US" branch="index" id="bm_id3154599"><bookmark_value>PERMUT function</bookmark_value>
<bookmark_value>number of permutations</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIATIONEN" id="bm_id3154610" localize="false"/>
<paragraph role="heading" id="hd_id3154599" xml-lang="en-US" level="2" l10n="U" oldref="144">PERMUT</paragraph>
<paragraph role="paragraph" id="par_id3154334" xml-lang="en-US" l10n="U" oldref="145"><ahelp hid="HID_FUNC_VARIATIONEN">Returns the number of permutations for a given number of objects.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3149422" xml-lang="en-US" level="3" l10n="U" oldref="146">Syntax</paragraph>
<paragraph role="code" id="par_id3148466" xml-lang="en-US" l10n="U" oldref="147">PERMUT(Count1; Count2)</paragraph>
<paragraph role="paragraph" id="par_id3148656" xml-lang="en-US" l10n="U" oldref="148">
<emph>Count1</emph> is the total number of objects.</paragraph>
<paragraph role="paragraph" id="par_id3150826" xml-lang="en-US" l10n="U" oldref="149">
<emph>Count2</emph> is the number of objects in each permutation.</paragraph>
<paragraph role="heading" id="hd_id3153351" xml-lang="en-US" level="3" l10n="U" oldref="150">Example</paragraph>
<paragraph role="paragraph" id="par_id3150424" xml-lang="en-US" l10n="U" oldref="151">
<item type="input">=PERMUT(6;3)</item> returns 120. There are 120 different possibilities, to pick a sequence of 3 playing cards out of 6 playing cards.</paragraph>
</section>
<section id="permutationa">
<bookmark xml-lang="en-US" branch="index" id="bm_id3143276"><bookmark_value>PERMUTATIONA function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_VARIATIONEN2" id="bm_id3153531" localize="false"/>
<paragraph role="heading" id="hd_id3143276" xml-lang="en-US" level="2" l10n="U" oldref="153">PERMUTATIONA</paragraph>
<paragraph role="paragraph" id="par_id3144759" xml-lang="en-US" l10n="U" oldref="154"><ahelp hid="HID_FUNC_VARIATIONEN2">Returns the number of permutations for a given number of objects (repetition allowed).</ahelp></paragraph>
<paragraph role="heading" id="hd_id3145598" xml-lang="en-US" level="3" l10n="U" oldref="155">Syntax</paragraph>
<paragraph role="code" id="par_id3149298" xml-lang="en-US" l10n="U" oldref="156">PERMUTATIONA(Count1; Count2)</paragraph>
<paragraph role="paragraph" id="par_id3156139" xml-lang="en-US" l10n="U" oldref="157">
<emph>Count1</emph> is the total number of objects.</paragraph>
<paragraph role="paragraph" id="par_id3149519" xml-lang="en-US" l10n="U" oldref="158">
<emph>Count2</emph> is the number of objects in each permutation.</paragraph>
<paragraph role="heading" id="hd_id3151382" xml-lang="en-US" level="3" l10n="U" oldref="159">Example</paragraph>
<paragraph role="paragraph" id="par_id3153949" xml-lang="en-US" l10n="U" oldref="160">How often can 2 objects be selected from a total of 11 objects?</paragraph>
<paragraph role="paragraph" id="par_id3149233" xml-lang="en-US" l10n="U" oldref="161">
<item type="input">=PERMUTATIONA(11;2)</item> returns 121.</paragraph>
<paragraph role="paragraph" id="par_id3150622" xml-lang="en-US" l10n="U" oldref="162">
<item type="input">=PERMUTATIONA(6;3)</item> returns 216. There are 216 different possibilities to put a sequence of 3 playing cards together out of six playing cards if every card is returned before the next one is drawn.</paragraph>
</section>
<section id="prob">
<bookmark xml-lang="en-US" branch="index" id="bm_id3152952"><bookmark_value>PROB function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_WAHRSCHBEREICH" id="bm_id3152963" localize="false"/>
<paragraph role="heading" id="hd_id3152952" xml-lang="en-US" level="2" l10n="U" oldref="164">PROB</paragraph>
<paragraph role="paragraph" id="par_id3154110" xml-lang="en-US" l10n="U" oldref="165"><ahelp hid="HID_FUNC_WAHRSCHBEREICH">Returns the probability that values in a range are between two limits.</ahelp> If there is no <item type="literal">End</item> value, this function calculates the probability based on the principle that the Data values are equal to the value of <item type="literal">Start</item>.</paragraph>
<paragraph role="heading" id="hd_id3146810" xml-lang="en-US" level="3" l10n="U" oldref="166">Syntax</paragraph>
<paragraph role="code" id="par_id3147330" xml-lang="en-US" l10n="U" oldref="167">PROB(Data; Probability; Start; End)</paragraph>
<paragraph role="paragraph" id="par_id3154573" xml-lang="en-US" l10n="U" oldref="168">
<emph>Data</emph> is the array or range of data in the sample.</paragraph>
<paragraph role="paragraph" id="par_id3156334" xml-lang="en-US" l10n="U" oldref="169">
<emph>Probability</emph> is the array or range of the corresponding probabilities.</paragraph>
<paragraph role="paragraph" id="par_id3151107" xml-lang="en-US" l10n="U" oldref="170">
<emph>Start</emph> is the start value of the interval whose probabilities are to be summed.</paragraph>
<paragraph role="paragraph" id="par_id3153694" xml-lang="en-US" l10n="U" oldref="171">
<emph>End</emph> (optional) is the end value of the interval whose probabilities are to be summed. If this parameter is missing, the probability for the <emph>Start </emph>value is calculated.</paragraph>
<paragraph role="heading" id="hd_id3147574" xml-lang="en-US" level="3" l10n="U" oldref="172">Example</paragraph>
<paragraph role="paragraph" id="par_id3153666" xml-lang="en-US" l10n="U" oldref="173">
<item type="input">=PROB(A1:A50;B1:B50;50;60)</item> returns the probability with which a value within the range of A1:A50 is also within the limits between 50 and 60. Every value within the range of A1:A50 has a probability within the range of B1:B50.</paragraph>
</section>
<section id="weibull">
<bookmark xml-lang="en-US" branch="index" id="bm_id3150941"><bookmark_value>WEIBULL function</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/HID_FUNC_WEIBULL" id="bm_id3150405" localize="false"/>
<paragraph role="heading" id="hd_id3150941" xml-lang="en-US" level="2" l10n="U" oldref="175">WEIBULL</paragraph>
<paragraph role="paragraph" id="par_id3154916" xml-lang="en-US" l10n="U" oldref="176"><ahelp hid="HID_FUNC_WEIBULL">Returns the values of the Weibull distribution.</ahelp></paragraph>
<paragraph role="heading" id="hd_id3159393" xml-lang="en-US" level="3" l10n="U" oldref="177">Syntax</paragraph>
<paragraph role="code" id="par_id3154478" xml-lang="en-US" l10n="U" oldref="178">WEIBULL(Number; Alpha; Beta; C)</paragraph>
<paragraph role="paragraph" id="par_id3151317" xml-lang="en-US" l10n="U" oldref="179">
<emph>Number</emph> is the value at which to calculate the Weibull distribution.</paragraph>
<paragraph role="paragraph" id="par_id3158436" xml-lang="en-US" l10n="U" oldref="180">
<emph>Alpha </emph>is the Alpha parameter of the Weibull distribution.</paragraph>
<paragraph role="paragraph" id="par_id3154668" xml-lang="en-US" l10n="U" oldref="181">
<emph>Beta</emph> is the Beta parameter of the Weibull distribution.</paragraph>
<paragraph role="paragraph" id="par_id3154825" xml-lang="en-US" l10n="U" oldref="182">
<emph>C</emph> indicates the type of function. If C equals 0 the form of the function is calculated, if C equals 1 the distribution is calculated.</paragraph>
<paragraph role="heading" id="hd_id3153794" xml-lang="en-US" level="3" l10n="U" oldref="183">Example</paragraph>
<paragraph role="paragraph" id="par_id3146077" xml-lang="en-US" l10n="U" oldref="184">
<item type="input">=WEIBULL(2;1;1;1)</item> returns 0.86.</paragraph>
</section>
</sort>
<section id="relatedtopics">
<embed href="text/scalc/01/04060100.xhp#drking"/>
</section>
</body>
</helpdocument>
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