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24<helpdocument version="1.0">
25<meta>
26<topic id="textscalc0104060185xml" indexer="include">
27<title xml-lang="en-US" id="tit">Statistical Functions Part Five</title>
28<filename>/text/scalc/01/04060185.xhp</filename>
29</topic>
30</meta>
31<body>
32<paragraph xml-lang="en-US" id="hd_id3147072" role="heading" 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>
33</variable></paragraph>
34<sort order="asc">
35<section id="rank">
36<bookmark xml-lang="en-US" branch="index" id="bm_id3155071">
37<bookmark_value>RANK function</bookmark_value>
38<bookmark_value>numbers;determining ranks</bookmark_value>
39</bookmark>
40<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_RANG" id="bm_id3146778" localize="false"/>
41<paragraph xml-lang="en-US" id="hd_id3155071" role="heading" level="2" l10n="U" oldref="2">RANK</paragraph>
42<paragraph xml-lang="en-US" id="par_id3153976" role="paragraph" l10n="U" oldref="3"><ahelp hid="HID_FUNC_RANG">Returns the rank of a number in a sample.</ahelp></paragraph>
43<paragraph xml-lang="en-US" id="hd_id3159206" role="heading" level="3" l10n="U" oldref="4">Syntax</paragraph>
44<paragraph xml-lang="en-US" id="par_id3153250" role="code" l10n="U" oldref="5">RANK(Value; Data; Type)</paragraph>
45<paragraph xml-lang="en-US" id="par_id3154543" role="paragraph" l10n="U" oldref="6">
46<emph>Value</emph> is the value, whose rank is to be determined.</paragraph>
47<paragraph xml-lang="en-US" id="par_id3149130" role="paragraph" l10n="U" oldref="7">
48<emph>Data</emph> is the array or range of data in the sample.</paragraph>
49<paragraph xml-lang="en-US" id="par_id3150215" role="paragraph" l10n="CHG" oldref="8">
50<emph>Type</emph> (optional) is the sequence order.</paragraph>
51<paragraph xml-lang="en-US" id="par_id9305398" role="paragraph" l10n="NEW">Type = 0 means descending from the last item of the array to the first (this is the default),</paragraph>
52<paragraph xml-lang="en-US" id="par_id9996948" role="paragraph" l10n="NEW">Type = 1 means ascending from the first item of the range to the last.</paragraph>
53<paragraph xml-lang="en-US" id="hd_id3143223" role="heading" level="3" l10n="U" oldref="9">Example</paragraph>
54<paragraph xml-lang="en-US" id="par_id3155919" role="paragraph" l10n="U" oldref="10">
55<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>
56</section>
57<section id="skew">
58<bookmark xml-lang="en-US" branch="index" id="bm_id3153556">
59<bookmark_value>SKEW function</bookmark_value>
60</bookmark>
61<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SCHIEFE" id="bm_id3153801" localize="false"/>
62<paragraph xml-lang="en-US" id="hd_id3153556" role="heading" level="2" l10n="U"
63oldref="12">SKEW</paragraph>
64<paragraph xml-lang="en-US" id="par_id3153485" role="paragraph" l10n="U" oldref="13"><ahelp hid="HID_FUNC_SCHIEFE">Returns the skewness of a distribution.</ahelp></paragraph>
65<paragraph xml-lang="en-US" id="hd_id3154733" role="heading" level="3" l10n="U"
66oldref="14">Syntax</paragraph>
67<paragraph xml-lang="en-US" id="par_id3151191" role="code" l10n="U" oldref="15">SKEW(Number1; Number2; ...Number30)</paragraph>
68<paragraph xml-lang="en-US" id="par_id3155757" role="paragraph" l10n="CHG" oldref="16">
69<emph>Number1, Number2...Number30</emph> are numerical values or ranges.</paragraph>
70<paragraph xml-lang="en-US" id="hd_id3153297" role="heading" level="3" l10n="U"
71oldref="17">Example</paragraph>
72<paragraph xml-lang="en-US" id="par_id3145118" role="paragraph" l10n="U" oldref="18">
73<item type="input">=SKEW(A1:A50)</item> calculates the value of skew for the data referenced.</paragraph>
74</section>
75<section id="forecast">
76<bookmark xml-lang="en-US" branch="index" id="bm_id3149051">
77<bookmark_value>regression lines;FORECAST function</bookmark_value>
78<bookmark_value>extrapolations</bookmark_value>
79<bookmark_value>FORECAST function</bookmark_value>
80</bookmark>
81<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SCHAETZER" id="bm_id3146102" localize="false"/><comment>mw made "regression lines" a two level entry</comment>
82<paragraph xml-lang="en-US" id="hd_id3149051" role="heading" level="2" l10n="U"
83oldref="20">FORECAST</paragraph>
84<paragraph xml-lang="en-US" id="par_id3153290" role="paragraph" l10n="U" oldref="21"><ahelp hid="HID_FUNC_SCHAETZER">Extrapolates future values based on existing x and y values.</ahelp></paragraph>
85<paragraph xml-lang="en-US" id="hd_id3151343" role="heading" level="3" l10n="U"
86oldref="22">Syntax</paragraph>
87<paragraph xml-lang="en-US" id="par_id3147404" role="code" l10n="U" oldref="23">FORECAST(Value; DataY; DataX)</paragraph>
88<paragraph xml-lang="en-US" id="par_id3148743" role="paragraph" l10n="U" oldref="24">
89<emph>Value</emph> is the x value, for which the y value on the linear regression is to be returned.</paragraph>
90<paragraph xml-lang="en-US" id="par_id3146325" role="paragraph" l10n="U" oldref="25">
91<emph>DataY</emph> is the array or range of known y's.</paragraph>
92<paragraph xml-lang="en-US" id="par_id3150536" role="paragraph" l10n="U" oldref="26">
93<emph>DataX</emph> is the array or range of known x's.</paragraph>
94<paragraph xml-lang="en-US" id="hd_id3147416" role="heading" level="3" l10n="U"
95oldref="27">Example</paragraph>
96<paragraph xml-lang="en-US" id="par_id3157874" role="paragraph" l10n="U" oldref="28">
97<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>
98</section>
99<section id="stdev">
100<bookmark xml-lang="en-US" branch="index" id="bm_id3149143">
101<bookmark_value>STDEV function</bookmark_value>
102<bookmark_value>standard deviations in statistics;based on a sample</bookmark_value>
103</bookmark>
104<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABW" id="bm_id3153121" localize="false"/>
105<paragraph xml-lang="en-US" id="hd_id3149143" role="heading" level="2" l10n="U"
106oldref="30">STDEV</paragraph>
107<paragraph xml-lang="en-US" id="par_id3146888" role="paragraph" l10n="U" oldref="31"><ahelp hid="HID_FUNC_STABW">Estimates the standard deviation based on a sample.</ahelp></paragraph>
108<paragraph xml-lang="en-US" id="hd_id3146815" role="heading" level="3" l10n="U"
109oldref="32">Syntax</paragraph>
110<paragraph xml-lang="en-US" id="par_id3149946" role="code" l10n="U" oldref="33">STDEV(Number1;Number2;...Number30)</paragraph>
111<paragraph xml-lang="en-US" id="par_id3157904" role="paragraph" l10n="CHG" oldref="34">
112<emph>Number1, Number2, ... Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
113<paragraph xml-lang="en-US" id="hd_id3150650" role="heading" level="3" l10n="U"
114oldref="35">Example</paragraph>
115<paragraph xml-lang="en-US" id="par_id3149434" role="paragraph" l10n="U" oldref="36">
116<item type="input">=STDEV(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
117</section>
118<section id="stdeva">
119<bookmark xml-lang="en-US" branch="index" id="bm_id3144745">
120<bookmark_value>STDEVA function</bookmark_value>
121</bookmark>
122<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWA" id="bm_id3154846" localize="false"/>
123<paragraph xml-lang="en-US" id="hd_id3144745" role="heading" level="2" l10n="U"
124oldref="186">STDEVA</paragraph>
125<paragraph xml-lang="en-US" id="par_id3151234" role="paragraph" l10n="U" oldref="187"><ahelp hid="HID_FUNC_STABWA">Calculates the standard deviation of an estimation based on a sample.</ahelp></paragraph>
126<paragraph xml-lang="en-US" id="hd_id3148884" role="heading" level="3" l10n="U"
127oldref="188">Syntax</paragraph>
128<paragraph xml-lang="en-US" id="par_id3147422" role="code" l10n="U" oldref="189">STDEVA(Value1;Value2;...Value30)</paragraph>
129<paragraph xml-lang="en-US" id="par_id3154547" role="paragraph" l10n="CHG" oldref="190">
130<emph>Value1, Value2, ...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
131<paragraph xml-lang="en-US" id="hd_id3155829" role="heading" level="3" l10n="U"
132oldref="191">Example</paragraph>
133<paragraph xml-lang="en-US" id="par_id3148581" role="paragraph" l10n="U" oldref="192">
134<item type="input">=STDEVA(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
135</section>
136<section id="stdevp">
137<bookmark xml-lang="en-US" branch="index" id="bm_id3149734">
138<bookmark_value>STDEVP function</bookmark_value>
139<bookmark_value>standard deviations in statistics;based on a population</bookmark_value>
140</bookmark>
141<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWN" id="bm_id3146139" localize="false"/>
142<paragraph xml-lang="en-US" id="hd_id3149734" role="heading" level="2" l10n="U"
143oldref="38">STDEVP</paragraph>
144<paragraph xml-lang="en-US" id="par_id3149187" role="paragraph" l10n="U" oldref="39"><ahelp hid="HID_FUNC_STABWN">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
145<paragraph xml-lang="en-US" id="hd_id3154387" role="heading" level="3" l10n="U"
146oldref="40">Syntax</paragraph>
147<paragraph xml-lang="en-US" id="par_id3154392" role="code" l10n="U" oldref="41">STDEVP(Number1;Number2;...Number30)</paragraph>
148<paragraph xml-lang="en-US" id="par_id3155261" role="paragraph" l10n="CHG" oldref="42">
149<emph>Number 1,Number 2,...Number 30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
150<paragraph xml-lang="en-US" id="hd_id3145591" role="heading" level="3" l10n="U"
151oldref="43">Example</paragraph>
152<paragraph xml-lang="en-US" id="par_id3153933" role="paragraph" l10n="U" oldref="44">
153<item type="input">=STDEVP(A1:A50)</item> returns a standard deviation of the data referenced.</paragraph>
154</section>
155<section id="stdevpa">
156<bookmark xml-lang="en-US" branch="index" id="bm_id3154522">
157<bookmark_value>STDEVPA function</bookmark_value>
158</bookmark>
159<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWNA" id="bm_id3150902" localize="false"/>
160<paragraph xml-lang="en-US" id="hd_id3154522" role="heading" level="2" l10n="U"
161oldref="194">STDEVPA</paragraph>
162<paragraph xml-lang="en-US" id="par_id3149549" role="paragraph" l10n="U" oldref="195"><ahelp hid="HID_FUNC_STABWNA">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
163<paragraph xml-lang="en-US" id="hd_id3155950" role="heading" level="3" l10n="U"
164oldref="196">Syntax</paragraph>
165<paragraph xml-lang="en-US" id="par_id3146851" role="code" l10n="U" oldref="197">STDEVPA(Value1;Value2;...Value30)</paragraph>
166<paragraph xml-lang="en-US" id="par_id3153109" role="paragraph" l10n="CHG" oldref="198">
167<emph>Value1,value2,...value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
168<paragraph xml-lang="en-US" id="hd_id3154506" role="heading" level="3" l10n="U"
169oldref="199">Example</paragraph>
170<paragraph xml-lang="en-US" id="par_id3145163" role="paragraph" l10n="U" oldref="200">
171<item type="input">=STDEVPA(A1:A50)</item> returns the standard deviation of the data referenced.</paragraph>
172</section>
173<section id="standardize">
174<bookmark xml-lang="en-US" branch="index" id="bm_id3155928">
175<bookmark_value>STANDARDIZE function</bookmark_value>
176<bookmark_value>converting;random variables, into normalized values</bookmark_value>
177</bookmark>
178<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDARDISIERUNG" id="bm_id3148764" localize="false"/>
179<paragraph xml-lang="en-US" id="hd_id3155928" role="heading" level="2" l10n="U"
180oldref="46">STANDARDIZE</paragraph>
181<paragraph xml-lang="en-US" id="par_id3149883" role="paragraph" l10n="U" oldref="47"><ahelp hid="HID_FUNC_STANDARDISIERUNG">Converts a random variable to a normalized value.</ahelp></paragraph>
182<paragraph xml-lang="en-US" id="hd_id3154330" role="heading" level="3" l10n="U"
183oldref="48">Syntax</paragraph>
184<paragraph xml-lang="en-US" id="par_id3150132" role="code" l10n="U" oldref="49">STANDARDIZE(Number; Mean; StDev)</paragraph>
185<paragraph xml-lang="en-US" id="par_id3159139" role="paragraph" l10n="U" oldref="50">
186<emph>Number</emph> is the value to be standardized.</paragraph>
187<paragraph xml-lang="en-US" id="par_id3145241" role="paragraph" l10n="U" oldref="51">
188<emph>Mean</emph> is the arithmetic mean of the distribution.</paragraph>
189<paragraph xml-lang="en-US" id="par_id3148874" role="paragraph" l10n="U" oldref="52">
190<emph>StDev</emph> is the standard deviation of the distribution.</paragraph>
191<paragraph xml-lang="en-US" id="hd_id3145351" role="heading" level="3" l10n="U"
192oldref="53">Example</paragraph>
193<paragraph xml-lang="en-US" id="par_id3156067" role="paragraph" l10n="U" oldref="54">
194<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>
195</section>
196<section id="normsinv">
197<bookmark xml-lang="en-US" branch="index" id="bm_id3157986">
198<bookmark_value>NORMSINV function</bookmark_value>
199<bookmark_value>normal distribution;inverse of standard</bookmark_value>
200</bookmark>
201<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDNORMINV" id="bm_id3148389" localize="false"/>
202<paragraph xml-lang="en-US" id="hd_id3157986" role="heading" level="2" l10n="U"
203oldref="56">NORMSINV</paragraph>
204<paragraph xml-lang="en-US" id="par_id3151282" role="paragraph" l10n="U" oldref="57"><ahelp hid="HID_FUNC_STANDNORMINV">Returns the inverse of the standard normal cumulative distribution.</ahelp></paragraph>
205<paragraph xml-lang="en-US" id="hd_id3153261" role="heading" level="3" l10n="U"
206oldref="58">Syntax</paragraph>
207<paragraph xml-lang="en-US" id="par_id3154195" role="code" l10n="U" oldref="59">NORMINV(Number)</paragraph>
208<paragraph xml-lang="en-US" id="par_id3148772" role="paragraph" l10n="U" oldref="60">
209<emph>Number</emph> is the probability to which the inverse standard normal distribution is calculated.</paragraph>
210<paragraph xml-lang="en-US" id="hd_id3150934" role="heading" level="3" l10n="U"
211oldref="61">Example</paragraph>
212<paragraph xml-lang="en-US" id="par_id3149030" role="paragraph" l10n="U" oldref="62">
213<item type="input">=NORMSINV(0.908789)</item> returns 1.3333.</paragraph>
214</section>
215<section id="normsdist">
216<bookmark xml-lang="en-US" branch="index" id="bm_id3147538">
217<bookmark_value>NORMSDIST function</bookmark_value>
218<bookmark_value>normal distribution;statistics</bookmark_value>
219</bookmark>
220<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDNORMVERT" id="bm_id3145269" localize="false"/>
221<paragraph xml-lang="en-US" id="hd_id3147538" role="heading" level="2" l10n="U"
222oldref="64">NORMSDIST</paragraph>
223<paragraph xml-lang="en-US" id="par_id3150474" role="paragraph" 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>
224<paragraph xml-lang="en-US" id="par_id8652302" role="paragraph" l10n="NEW">It is GAUSS(x)=NORMSDIST(x)-0.5</paragraph>
225<paragraph xml-lang="en-US" id="hd_id3155083" role="heading" level="3" l10n="U"
226oldref="66">Syntax</paragraph>
227<paragraph xml-lang="en-US" id="par_id3158411" role="code" l10n="U" oldref="67">NORMSDIST(Number)</paragraph>
228<paragraph xml-lang="en-US" id="par_id3154950" role="paragraph" l10n="CHG" oldref="68">
229<emph>Number</emph> is the value to which the standard normal cumulative distribution is calculated.</paragraph>
230<paragraph xml-lang="en-US" id="hd_id3153228" role="heading" level="3" l10n="U"
231oldref="69">Example</paragraph>
232<paragraph xml-lang="en-US" id="par_id3155984" role="paragraph" l10n="U" oldref="70">
233<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>
234</section>
235<section id="slope">
236<bookmark xml-lang="en-US" branch="index" id="bm_id3152592">
237<bookmark_value>SLOPE function</bookmark_value>
238</bookmark>
239<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STEIGUNG" id="bm_id3153716" localize="false"/>
240<paragraph xml-lang="en-US" id="hd_id3152592" role="heading" level="2" l10n="U"
241oldref="72">SLOPE</paragraph>
242<paragraph xml-lang="en-US" id="par_id3150386" role="paragraph" 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>
243<paragraph xml-lang="en-US" id="hd_id3154315" role="heading" level="3" l10n="U"
244oldref="74">Syntax</paragraph>
245<paragraph xml-lang="en-US" id="par_id3149819" role="code" l10n="U" oldref="75">SLOPE(DataY; DataX)</paragraph>
246<paragraph xml-lang="en-US" id="par_id3083446" role="paragraph" l10n="U" oldref="76">
247<emph>DataY</emph> is the array or matrix of Y data.</paragraph>
248<paragraph xml-lang="en-US" id="par_id3152375" role="paragraph" l10n="U" oldref="77">
249<emph>DataX</emph> is the array or matrix of X data.</paragraph>
250<paragraph xml-lang="en-US" id="hd_id3146061" role="heading" level="3" l10n="U"
251oldref="78">Example</paragraph>
252<paragraph xml-lang="en-US" id="par_id3152480" role="paragraph" l10n="U" oldref="79">
253<item type="input">=SLOPE(A1:A50;B1:B50)</item>
254</paragraph>
255</section>
256<section id="steyx">
257<bookmark xml-lang="en-US" branch="index" id="bm_id3155836">
258<bookmark_value>STEYX function</bookmark_value>
259<bookmark_value>standard errors;statistical functions</bookmark_value>
260</bookmark><comment>mw changed "standard errors"</comment>
261<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STFEHLERYX" id="bm_id3150964" localize="false"/>
262<paragraph xml-lang="en-US" id="hd_id3155836" role="heading" level="2" l10n="U"
263oldref="81">STEYX</paragraph>
264<paragraph xml-lang="en-US" id="par_id3149446" role="paragraph" 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>
265<paragraph xml-lang="en-US" id="hd_id3147562" role="heading" level="3" l10n="U"
266oldref="83">Syntax</paragraph>
267<paragraph xml-lang="en-US" id="par_id3151267" role="code" l10n="U" oldref="84">STEYX(DataY; DataX)</paragraph>
268<paragraph xml-lang="en-US" id="par_id3147313" role="paragraph" l10n="U" oldref="85">
269<emph>DataY</emph> is the array or matrix of Y data.</paragraph>
270<paragraph xml-lang="en-US" id="par_id3156097" role="paragraph" l10n="U" oldref="86">
271<emph>DataX</emph> is the array or matrix of X data.</paragraph>
272<paragraph xml-lang="en-US" id="hd_id3145204" role="heading" level="3" l10n="U"
273oldref="87">Example</paragraph>
274<paragraph xml-lang="en-US" id="par_id3156131" role="paragraph" l10n="U" oldref="88">
275<item type="input">=STEXY(A1:A50;B1:B50)</item>
276</paragraph>
277</section>
278<section id="devsq">
279<bookmark xml-lang="en-US" branch="index" id="bm_id3150873">
280<bookmark_value>DEVSQ function</bookmark_value>
281<bookmark_value>sums;of squares of deviations</bookmark_value>
282</bookmark>
283<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SUMQUADABW" id="bm_id3156317" localize="false"/>
284<paragraph xml-lang="en-US" id="hd_id3150873" role="heading" level="2" l10n="U"
285oldref="90">DEVSQ</paragraph>
286<paragraph xml-lang="en-US" id="par_id3154748" role="paragraph" l10n="U" oldref="91"><ahelp hid="HID_FUNC_SUMQUADABW">Returns the sum of squares of deviations based on a sample mean.</ahelp></paragraph>
287<paragraph xml-lang="en-US" id="hd_id3156121" role="heading" level="3" l10n="U"
288oldref="92">Syntax</paragraph>
289<paragraph xml-lang="en-US" id="par_id3146790" role="code" l10n="U" oldref="93">DEVSQ(Number1; Number2; ...Number30)</paragraph>
290<paragraph xml-lang="en-US" id="par_id3155995" role="paragraph" l10n="CHG" oldref="94">
291<emph>Number1, Number2, ...Number30</emph> numerical values or ranges representing a sample.</paragraph>
292<paragraph xml-lang="en-US" id="hd_id3150254" role="heading" level="3" l10n="U"
293oldref="95">Example</paragraph>
294<paragraph xml-lang="en-US" id="par_id3149136" role="paragraph" l10n="U" oldref="96">
295<item type="input">=DEVSQ(A1:A50)</item>
296</paragraph>
297</section>
298<section id="tinv">
299<bookmark xml-lang="en-US" branch="index" id="bm_id3149579">
300<bookmark_value>TINV function</bookmark_value>
301<bookmark_value>inverse of t-distribution</bookmark_value>
302</bookmark>
303<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TINV" id="bm_id3153155" localize="false"/>
304<paragraph xml-lang="en-US" id="hd_id3149579" role="heading" level="2" l10n="U"
305oldref="98">TINV</paragraph>
306<paragraph xml-lang="en-US" id="par_id3143232" role="paragraph" l10n="U" oldref="99"><ahelp hid="HID_FUNC_TINV">Returns the inverse of the t-distribution.</ahelp></paragraph>
307<paragraph xml-lang="en-US" id="hd_id3155101" role="heading" level="3" l10n="U"
308oldref="100">Syntax</paragraph>
309<paragraph xml-lang="en-US" id="par_id3149289" role="code" l10n="U" oldref="101">TINV(Number; DegreesFreedom)</paragraph>
310<paragraph xml-lang="en-US" id="par_id3154070" role="paragraph" l10n="U" oldref="102">
311<emph>Number</emph> is the probability associated with the two-tailed t-distribution.</paragraph>
312<paragraph xml-lang="en-US" id="par_id3155315" role="paragraph" l10n="U" oldref="103">
313<emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
314<paragraph xml-lang="en-US" id="hd_id3153885" role="heading" level="3" l10n="U"
315oldref="104">Example</paragraph>
316<paragraph xml-lang="en-US" id="par_id3156010" role="paragraph" l10n="CHG" oldref="105">
317<item type="input">=TINV(0.1;6)</item> returns 1.94</paragraph>
318</section>
319<section id="ttest">
320<bookmark xml-lang="en-US" branch="index" id="bm_id3154129">
321<bookmark_value>TTEST function</bookmark_value>
322</bookmark>
323<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TTEST" id="bm_id3153981" localize="false"/>
324<paragraph xml-lang="en-US" id="hd_id3154129" role="heading" level="2" l10n="U"
325oldref="107">TTEST</paragraph>
326<paragraph xml-lang="en-US" id="par_id3159184" role="paragraph" l10n="U" oldref="108"><ahelp hid="HID_FUNC_TTEST">Returns the probability associated with a Student's t-Test.</ahelp></paragraph>
327<paragraph xml-lang="en-US" id="hd_id3147257" role="heading" level="3" l10n="U"
328oldref="109">Syntax</paragraph>
329<paragraph xml-lang="en-US" id="par_id3151175" role="code" l10n="U" oldref="110">TTEST(Data1; Data2; Mode; Type)</paragraph>
330<paragraph xml-lang="en-US" id="par_id3149202" role="paragraph" l10n="U" oldref="111">
331<emph>Data1</emph> is the dependent array or range of data for the first record.</paragraph>
332<paragraph xml-lang="en-US" id="par_id3145666" role="paragraph" l10n="U" oldref="112">
333<emph>Data2</emph> is the dependent array or range of data for the second record.</paragraph>
334<paragraph xml-lang="en-US" id="par_id3153903" role="paragraph" l10n="U" oldref="113">
335<emph>Mode</emph> = 1 calculates the one-tailed test, <emph>Mode</emph> = 2 the two- tailed test.</paragraph>
336<paragraph xml-lang="en-US" id="par_id3155327" role="paragraph" l10n="U" oldref="114">
337<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>
338<paragraph xml-lang="en-US" id="hd_id3159342" role="heading" level="3" l10n="U"
339oldref="115">Example</paragraph>
340<paragraph xml-lang="en-US" id="par_id3150119" role="paragraph" l10n="U" oldref="116">
341<item type="input">=TTEST(A1:A50;B1:B50;2;2)</item>
342</paragraph>
343</section>
344<section id="tdist">
345<bookmark xml-lang="en-US" branch="index" id="bm_id3154930">
346<bookmark_value>TDIST function</bookmark_value>
347<bookmark_value>t-distribution</bookmark_value>
348</bookmark>
349<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TVERT" id="bm_id3153095" localize="false"/>
350<paragraph xml-lang="en-US" id="hd_id3154930" role="heading" level="2" l10n="U"
351oldref="118">TDIST</paragraph>
352<paragraph xml-lang="en-US" id="par_id3153372" role="paragraph" l10n="U" oldref="119"><ahelp hid="HID_FUNC_TVERT">Returns the t-distribution.</ahelp></paragraph>
353<paragraph xml-lang="en-US" id="hd_id3149911" role="heading" level="3" l10n="U"
354oldref="120">Syntax</paragraph>
355<paragraph xml-lang="en-US" id="par_id3150521" role="code" l10n="U" oldref="121">TDIST(Number; DegreesFreedom; Mode)</paragraph>
356<paragraph xml-lang="en-US" id="par_id3146991" role="paragraph" l10n="U" oldref="122">
357<emph>Number</emph> is the value for which the t-distribution is calculated.</paragraph>
358<paragraph xml-lang="en-US" id="par_id3148824" role="paragraph" l10n="U" oldref="123">
359<emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
360<paragraph xml-lang="en-US" id="par_id3149340" role="paragraph" l10n="U" oldref="124">
361<emph>Mode</emph> = 1 returns the one-tailed test, <emph>Mode</emph> = 2 returns the two-tailed test.</paragraph>
362<paragraph xml-lang="en-US" id="hd_id3159150" role="heading" level="3" l10n="U"
363oldref="125">Example</paragraph>
364<paragraph xml-lang="en-US" id="par_id3149773" role="paragraph" l10n="U" oldref="126">
365<item type="input">=TDIST(12;5;1)</item>
366</paragraph>
367</section>
368<section id="var">
369<bookmark xml-lang="en-US" branch="index" id="bm_id3153828">
370<bookmark_value>VAR function</bookmark_value>
371<bookmark_value>variances</bookmark_value>
372</bookmark>
373<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZ" id="bm_id3154898" localize="false"/>
374<paragraph xml-lang="en-US" id="hd_id3153828" role="heading" level="2" l10n="U"
375oldref="128">VAR</paragraph>
376<paragraph xml-lang="en-US" id="par_id3159165" role="paragraph" l10n="U" oldref="129"><ahelp hid="HID_FUNC_VARIANZ">Estimates the variance based on a sample.</ahelp></paragraph>
377<paragraph xml-lang="en-US" id="hd_id3154286" role="heading" level="3" l10n="U"
378oldref="130">Syntax</paragraph>
379<paragraph xml-lang="en-US" id="par_id3153054" role="code" l10n="U" oldref="131">VAR(Number1; Number2; ...Number30)</paragraph>
380<paragraph xml-lang="en-US" id="par_id3148938" role="paragraph" l10n="CHG" oldref="132">
381<emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
382<paragraph xml-lang="en-US" id="hd_id3147233" role="heading" level="3" l10n="U"
383oldref="133">Example</paragraph>
384<paragraph xml-lang="en-US" id="par_id3153575" role="paragraph" l10n="U" oldref="134">
385<item type="input">=VAR(A1:A50)</item>
386</paragraph>
387</section>
388<section id="vara">
389<bookmark xml-lang="en-US" branch="index" id="bm_id3151045">
390<bookmark_value>VARA function</bookmark_value>
391</bookmark>
392<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZA" id="bm_id3148473" localize="false"/>
393<paragraph xml-lang="en-US" id="hd_id3151045" role="heading" level="2" l10n="U"
394oldref="202">VARA</paragraph>
395<paragraph xml-lang="en-US" id="par_id3155122" role="paragraph" l10n="U" oldref="203"><ahelp hid="HID_FUNC_VARIANZA">Estimates a variance based on a sample. The value of text is 0.</ahelp></paragraph>
396<paragraph xml-lang="en-US" id="hd_id3149176" role="heading" level="3" l10n="U"
397oldref="204">Syntax</paragraph>
398<paragraph xml-lang="en-US" id="par_id3149999" role="code" l10n="U" oldref="205">VARA(Value1; Value2; ...Value30)</paragraph>
399<paragraph xml-lang="en-US" id="par_id3158421" role="paragraph" l10n="CHG" oldref="206">
400<emph>Value1, Value2,...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
401<paragraph xml-lang="en-US" id="hd_id3149160" role="heading" level="3" l10n="U"
402oldref="207">Example</paragraph>
403<paragraph xml-lang="en-US" id="par_id3154279" role="paragraph" l10n="U" oldref="208">
404<item type="input">=VARA(A1:A50)</item>
405</paragraph>
406</section>
407<section id="varp">
408<bookmark xml-lang="en-US" branch="index" id="bm_id3166441">
409<bookmark_value>VARP function</bookmark_value>
410</bookmark>
411<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZEN" id="bm_id3152359" localize="false"/>
412<paragraph xml-lang="en-US" id="hd_id3166441" role="heading" level="2" l10n="U"
413oldref="136">VARP</paragraph>
414<paragraph xml-lang="en-US" id="par_id3159199" role="paragraph" l10n="U" oldref="137"><ahelp hid="HID_FUNC_VARIANZEN">Calculates a variance based on the entire population.</ahelp></paragraph>
415<paragraph xml-lang="en-US" id="hd_id3150706" role="heading" level="3" l10n="U"
416oldref="138">Syntax</paragraph>
417<paragraph xml-lang="en-US" id="par_id3147282" role="code" l10n="U" oldref="139">VARP(Number1; Number2; ...Number30)</paragraph>
418<paragraph xml-lang="en-US" id="par_id3149793" role="paragraph" l10n="CHG" oldref="140">
419<emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing an entire population.</paragraph>
420<paragraph xml-lang="en-US" id="hd_id3152939" role="heading" level="3" l10n="U"
421oldref="141">Example</paragraph>
422<paragraph xml-lang="en-US" id="par_id3153385" role="paragraph" l10n="U" oldref="142">
423<item type="input">=VARP(A1:A50)</item>
424</paragraph>
425</section>
426<section id="varpa">
427<bookmark xml-lang="en-US" branch="index" id="bm_id3153688">
428<bookmark_value>VARPA function</bookmark_value>
429</bookmark>
430<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZENA" id="bm_id3159276" localize="false"/>
431<paragraph xml-lang="en-US" id="hd_id3153688" role="heading" level="2" l10n="U"
432oldref="210">VARPA</paragraph>
433<paragraph xml-lang="en-US" id="par_id3149109" role="paragraph" 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>
434<paragraph xml-lang="en-US" id="hd_id3152880" role="heading" level="3" l10n="U"
435oldref="212">Syntax</paragraph>
436<paragraph xml-lang="en-US" id="par_id3149967" role="code" l10n="U" oldref="213">VARPA(Value1; Value2; ...Value30)</paragraph>
437<paragraph xml-lang="en-US" id="par_id3149920" role="paragraph" l10n="CHG" oldref="214">
438<emph>Value1,value2,...Value30</emph> are values or ranges representing an entire population.</paragraph>
439<paragraph xml-lang="en-US" id="hd_id3154862" role="heading" level="3" l10n="U"
440oldref="215">Example</paragraph>
441<paragraph xml-lang="en-US" id="par_id3156203" role="paragraph" l10n="U" oldref="216">
442<item type="input">=VARPA(A1:A50)</item>
443</paragraph>
444</section>
445<section id="permut">
446<bookmark xml-lang="en-US" branch="index" id="bm_id3154599">
447<bookmark_value>PERMUT function</bookmark_value>
448<bookmark_value>number of permutations</bookmark_value>
449</bookmark>
450<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIATIONEN" id="bm_id3154610" localize="false"/>
451<paragraph xml-lang="en-US" id="hd_id3154599" role="heading" level="2" l10n="U"
452oldref="144">PERMUT</paragraph>
453<paragraph xml-lang="en-US" id="par_id3154334" role="paragraph" l10n="U" oldref="145"><ahelp hid="HID_FUNC_VARIATIONEN">Returns the number of permutations for a given number of objects.</ahelp></paragraph>
454<paragraph xml-lang="en-US" id="hd_id3149422" role="heading" level="3" l10n="U"
455oldref="146">Syntax</paragraph>
456<paragraph xml-lang="en-US" id="par_id3148466" role="code" l10n="U" oldref="147">PERMUT(Count1; Count2)</paragraph>
457<paragraph xml-lang="en-US" id="par_id3148656" role="paragraph" l10n="U" oldref="148">
458<emph>Count1</emph> is the total number of objects.</paragraph>
459<paragraph xml-lang="en-US" id="par_id3150826" role="paragraph" l10n="U" oldref="149">
460<emph>Count2</emph> is the number of objects in each permutation.</paragraph>
461<paragraph xml-lang="en-US" id="hd_id3153351" role="heading" level="3" l10n="U"
462oldref="150">Example</paragraph>
463<paragraph xml-lang="en-US" id="par_id3150424" role="paragraph" l10n="U" oldref="151">
464<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>
465</section>
466<section id="permutationa">
467<bookmark xml-lang="en-US" branch="index" id="bm_id3143276">
468<bookmark_value>PERMUTATIONA function</bookmark_value>
469</bookmark>
470<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIATIONEN2" id="bm_id3153531" localize="false"/>
471<paragraph xml-lang="en-US" id="hd_id3143276" role="heading" level="2" l10n="U"
472oldref="153">PERMUTATIONA</paragraph>
473<paragraph xml-lang="en-US" id="par_id3144759" role="paragraph" l10n="U" oldref="154"><ahelp hid="HID_FUNC_VARIATIONEN2">Returns the number of permutations for a given number of objects (repetition allowed).</ahelp></paragraph>
474<paragraph xml-lang="en-US" id="hd_id3145598" role="heading" level="3" l10n="U"
475oldref="155">Syntax</paragraph>
476<paragraph xml-lang="en-US" id="par_id3149298" role="code" l10n="U" oldref="156">PERMUTATIONA(Count1; Count2)</paragraph>
477<paragraph xml-lang="en-US" id="par_id3156139" role="paragraph" l10n="U" oldref="157">
478<emph>Count1</emph> is the total number of objects.</paragraph>
479<paragraph xml-lang="en-US" id="par_id3149519" role="paragraph" l10n="U" oldref="158">
480<emph>Count2</emph> is the number of objects in each permutation.</paragraph>
481<paragraph xml-lang="en-US" id="hd_id3151382" role="heading" level="3" l10n="U"
482oldref="159">Example</paragraph>
483<paragraph xml-lang="en-US" id="par_id3153949" role="paragraph" l10n="U" oldref="160">How often can 2 objects be selected from a total of 11 objects?</paragraph>
484<paragraph xml-lang="en-US" id="par_id3149233" role="paragraph" l10n="U" oldref="161">
485<item type="input">=PERMUTATIONA(11;2)</item> returns 121.</paragraph>
486<paragraph xml-lang="en-US" id="par_id3150622" role="paragraph" l10n="U" oldref="162">
487<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>
488</section>
489<section id="prob">
490<bookmark xml-lang="en-US" branch="index" id="bm_id3152952">
491<bookmark_value>PROB function</bookmark_value>
492</bookmark>
493<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_WAHRSCHBEREICH" id="bm_id3152963" localize="false"/>
494<paragraph xml-lang="en-US" id="hd_id3152952" role="heading" level="2" l10n="U"
495oldref="164">PROB</paragraph>
496<paragraph xml-lang="en-US" id="par_id3154110" role="paragraph" 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>
497<paragraph xml-lang="en-US" id="hd_id3146810" role="heading" level="3" l10n="U"
498oldref="166">Syntax</paragraph>
499<paragraph xml-lang="en-US" id="par_id3147330" role="code" l10n="U" oldref="167">PROB(Data; Probability; Start; End)</paragraph>
500<paragraph xml-lang="en-US" id="par_id3154573" role="paragraph" l10n="U" oldref="168">
501<emph>Data</emph> is the array or range of data in the sample.</paragraph>
502<paragraph xml-lang="en-US" id="par_id3156334" role="paragraph" l10n="U" oldref="169">
503<emph>Probability</emph> is the array or range of the corresponding probabilities.</paragraph>
504<paragraph xml-lang="en-US" id="par_id3151107" role="paragraph" l10n="U" oldref="170">
505<emph>Start</emph> is the start value of the interval whose probabilities are to be summed.</paragraph>
506<paragraph xml-lang="en-US" id="par_id3153694" role="paragraph" l10n="U" oldref="171">
507<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>
508<paragraph xml-lang="en-US" id="hd_id3147574" role="heading" level="3" l10n="U"
509oldref="172">Example</paragraph>
510<paragraph xml-lang="en-US" id="par_id3153666" role="paragraph" l10n="U" oldref="173">
511<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>
512</section>
513<section id="weibull">
514<bookmark xml-lang="en-US" branch="index" id="bm_id3150941">
515<bookmark_value>WEIBULL function</bookmark_value>
516</bookmark>
517<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_WEIBULL" id="bm_id3150405" localize="false"/>
518<paragraph xml-lang="en-US" id="hd_id3150941" role="heading" level="2" l10n="U"
519oldref="175">WEIBULL</paragraph>
520<paragraph xml-lang="en-US" id="par_id3154916" role="paragraph" l10n="U" oldref="176"><ahelp hid="HID_FUNC_WEIBULL">Returns the values of the Weibull distribution.</ahelp></paragraph>
521<paragraph xml-lang="en-US" id="par_id0305200911372767" role="paragraph" l10n="NEW">The Weibull distribution is a continuous probability distribution, with parameters Alpha &gt; 0 (shape) and Beta &gt; 0 (scale).</paragraph>
522<paragraph xml-lang="en-US" id="par_id0305200911372777" role="paragraph" l10n="NEW">If C is 0, WEIBULL calculates the probability density function.</paragraph>
523<paragraph xml-lang="en-US" id="par_id0305200911372743" role="paragraph" l10n="NEW">If C is 1, WEIBULL calculates the cumulative distribution function.</paragraph>
524<paragraph xml-lang="en-US" id="hd_id3159393" role="heading" level="3" l10n="U"
525oldref="177">Syntax</paragraph>
526<paragraph xml-lang="en-US" id="par_id3154478" role="code" l10n="U" oldref="178">WEIBULL(Number; Alpha; Beta; C)</paragraph>
527<paragraph xml-lang="en-US" id="par_id3151317" role="paragraph" l10n="U" oldref="179">
528<emph>Number</emph> is the value at which to calculate the Weibull distribution.</paragraph>
529<paragraph xml-lang="en-US" id="par_id3158436" role="paragraph" l10n="U" oldref="180">
530<emph>Alpha</emph> is the shape parameter of the Weibull distribution.</paragraph>
531<paragraph xml-lang="en-US" id="par_id3154668" role="paragraph" l10n="U" oldref="181">
532<emph>Beta</emph> is the scale parameter of the Weibull distribution.</paragraph>
533<paragraph xml-lang="en-US" id="par_id3154825" role="paragraph" l10n="CHG" oldref="182">
534<emph>C</emph> indicates the type of function.</paragraph>
535<paragraph xml-lang="en-US" id="hd_id3153794" role="heading" level="3" l10n="U"
536oldref="183">Example</paragraph>
537<paragraph xml-lang="en-US" id="par_id3146077" role="paragraph" l10n="U" oldref="184">
538<item type="input">=WEIBULL(2;1;1;1)</item> returns 0.86.</paragraph>
539<paragraph xml-lang="en-US" id="par_id0305200911372899" role="paragraph" l10n="NEW">See also the <link href="https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_WEIBULL_function">Wiki page</link>.</paragraph>
540</section>
541</sort>
542<section id="relatedtopics">
543<embed href="text/scalc/01/04060100.xhp#drking"/>
544</section>
545</body>
546</helpdocument>
547