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  1. <?xml version="1.0" encoding="utf-8"?>
  2. <html><head><title>Statistical Functions Part Two</title><meta name="filename" content="text/scalc/01/04060182"/><meta name="language" content="en-US"/><help:css-file-link xmlns:help="http://openoffice.org/2000/help"/><!--The CSS style header method for setting styles--><style type="text/css">
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  11.    <p class="P1"/>
  12.    <p class="Head1"><help:to-be-embedded Eid="fh" xmlns:help="http://openoffice.org/2000/help"><help:link Id="66918">Statistical Functions Part Two</help:link></help:to-be-embedded></p>
  13.    <p class="Head2"><help:help-id value="HID_FUNC_FINV" xmlns:help="http://openoffice.org/2000/help"/><a name="finv"/><help:key-word value="FINV" tag="kw66918_1" xmlns:help="http://openoffice.org/2000/help"/>FINV</p>
  14.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the inverse of the F probability distribution. </help:help-text> The F distribution is used for F tests in order to set the relation between two diffused data quantities.</p>
  15.    <p class="Head3">Syntax</p>
  16.    <p class="Paragraph">FINV(Number; degrees_freedom1; degrees_freedom2)</p>
  17.    <p class="Paragraph"><span class="T1">Number</span> is probability value for which the inverse F distribution is to be calculated.</p>
  18.    <p class="Paragraph"><span class="T1">degrees_freedom1</span> is the number of degrees of freedom in the numerator of the F distribution.</p>
  19.    <p class="Paragraph"><span class="T1">degrees_freedom2</span> is the number of degrees of freedom in the denominator of the F distribution.</p>
  20.    <p class="Head3">Example</p>
  21.    <p class="Paragraph">=FINV(0.5; 5; 10) yields 0.93.</p>
  22.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  23.    <p class="Paragraph"><help:link Id="66918" Eid="ftest" xmlns:help="http://openoffice.org/2000/help">FTEST</help:link>, <help:link Id="66918" Eid="fvert" xmlns:help="http://openoffice.org/2000/help">FDIST</help:link></p>
  24.    <p class="Head2"><help:help-id value="HID_FUNC_FISHER" xmlns:help="http://openoffice.org/2000/help"/><a name="fisher"/><help:key-word value="FISHER" tag="kw66918_14" xmlns:help="http://openoffice.org/2000/help"/>FISHER</p>
  25.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the Fisher transformation for x and creates a function close to a normal distribution.</help:help-text></p>
  26.    <p class="Head3">Syntax</p>
  27.    <p class="Paragraph">FISHER(Number)</p>
  28.    <p class="Paragraph"><span class="T1">Number</span> is the value to be transformed.</p>
  29.    <p class="Head3">Example</p>
  30.    <p class="Paragraph">=FISHER(0.5) yields 0.55.</p>
  31.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  32.    <p class="Paragraph"><help:link Id="66918" Eid="fisherinv" xmlns:help="http://openoffice.org/2000/help">FISHERINV</help:link>, <help:link Id="66812" Eid="korrel" xmlns:help="http://openoffice.org/2000/help">CORREL</help:link>, <help:link Id="66812" Eid="kovar" xmlns:help="http://openoffice.org/2000/help">COVAR</help:link></p>
  33.    <p class="Head2"><help:help-id value="HID_FUNC_FISHERINV" xmlns:help="http://openoffice.org/2000/help"/><a name="fisherinv"/><help:key-word value="FISHERINV" tag="kw66918_13" xmlns:help="http://openoffice.org/2000/help"/>FISHERINV</p>
  34.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the inverse of the Fisher transformation for x and creates a function close to a normal distribution. </help:help-text></p>
  35.    <p class="Head3">Syntax</p>
  36.    <p class="Paragraph">FISHERINV(Number)</p>
  37.    <p class="Paragraph"><span class="T1">Number</span> is the value that is to undergo reverse-transformation.</p>
  38.    <p class="Head3">Example</p>
  39.    <p class="Paragraph">=FISHERINV(0.5) yields 0.46.</p>
  40.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  41.    <p class="Paragraph"><help:link Id="66918" Eid="fisher" xmlns:help="http://openoffice.org/2000/help">FISHER</help:link>, <help:link Id="66812" Eid="korrel" xmlns:help="http://openoffice.org/2000/help">CORREL</help:link>, <help:link Id="66812" Eid="kovar" xmlns:help="http://openoffice.org/2000/help">COVAR</help:link></p>
  42.    <p class="Head2"><help:help-id value="HID_FUNC_FTEST" xmlns:help="http://openoffice.org/2000/help"/><a name="ftest"/><help:key-word value="FTEST" tag="kw66918_12" xmlns:help="http://openoffice.org/2000/help"/>FTEST</p>
  43.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the result of an F test.</help:help-text></p>
  44.    <p class="Head3">Syntax</p>
  45.    <p class="Paragraph">FTEST(Data 1; Data 2)</p>
  46.    <p class="Paragraph"><span class="T1">Data 1</span> is the matrix of the first record.</p>
  47.    <p class="Paragraph"><span class="T1">Data 2</span> is the matrix of the second record.</p>
  48.    <p class="Head3">Example</p>
  49.    <p class="Paragraph">=FTEST(A1:A30; B1:B12) calculates whether the two data rows are different in their variance and returns the probability that both rows could have come from the same total population.</p>
  50.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  51.    <p class="Paragraph"><help:link Id="66918" Eid="finv" xmlns:help="http://openoffice.org/2000/help">FINV</help:link>, <help:link Id="66918" Eid="fvert" xmlns:help="http://openoffice.org/2000/help">FDIST</help:link></p>
  52.    <p class="Head2"><help:help-id value="HID_FUNC_FVERT" xmlns:help="http://openoffice.org/2000/help"/><a name="fvert"/><help:key-word value="FDIST" tag="kw66918_11" xmlns:help="http://openoffice.org/2000/help"/>FDIST</p>
  53.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Calculates the values of an F distribution.</help:help-text></p>
  54.    <p class="Head3">Syntax</p>
  55.    <p class="Paragraph">FDIST(Number; degrees_freedom 1; degrees_freedom 2)</p>
  56.    <p class="Paragraph"><span class="T1">Number</span> is the value for which the F distribution is to be calculated.</p>
  57.    <p class="Paragraph"><span class="T1">degrees_freedom degrees_freedom 1</span> is the degree of freedom in the numerator in the F distribution.</p>
  58.    <p class="Paragraph"><span class="T1">degrees_freedom 2</span> is the degree of freedom in the denominator in the F distribution.</p>
  59.    <p class="Head3">Example</p>
  60.    <p class="Paragraph">=FDIST(0.8; 8; 12) yields 0.61.</p>
  61.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  62.    <p class="Paragraph"><help:link Id="66918" Eid="finv" xmlns:help="http://openoffice.org/2000/help">FINV</help:link>, <help:link Id="66918" Eid="ftest" xmlns:help="http://openoffice.org/2000/help">FTEST</help:link></p>
  63.    <p class="Head2"><help:help-id value="HID_FUNC_GAMMAINV" xmlns:help="http://openoffice.org/2000/help"/><a name="gammainv"/><help:key-word value="GAMMAINV" tag="kw66918_10" xmlns:help="http://openoffice.org/2000/help"/>GAMMAINV</p>
  64.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the inverse of the gamma cumulative distribution.</help:help-text> <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>This function allows you to search for variables with different distribution.</p>
  65.    <p class="Head3">Syntax</p>
  66.    <p class="Paragraph">GAMMAINV(Number; Alpha; Beta)</p>
  67.    <p class="Paragraph"><span class="T1">Number</span> is the probability value for which the inverse Gamma distribution is to be calculated.</p>
  68.    <p class="Paragraph"><span class="T1">Alpha</span> is the parameter Alpha of the gamma distribution.</p>
  69.    <p class="Paragraph"><span class="T1">Beta</span> is the parameter Beta of the gamma distribution.</p>
  70.    <p class="Head3">Example</p>
  71.    <p class="Paragraph">=GAMMAINV(0.8; 1; 1) yields 1.61.</p>
  72.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  73.    <p class="Paragraph"><help:link Id="66918" Eid="gammavert" xmlns:help="http://openoffice.org/2000/help">GAMMADIST</help:link></p>
  74.    <p class="Head2"><help:help-id value="HID_FUNC_GAMMALN" xmlns:help="http://openoffice.org/2000/help"/><a name="gammaln"/><help:key-word value="GAMMALN" tag="kw66918_9" xmlns:help="http://openoffice.org/2000/help"/>GAMMALN</p>
  75.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the natural logarithm of the gamma function: G(x).</help:help-text></p>
  76.    <p class="Head3">Syntax</p>
  77.    <p class="Paragraph">GAMMALN(Number)</p>
  78.    <p class="Paragraph"><span class="T1">Number</span> is the value for which the natural logarithm of the of the Gamma function is to be calculated.</p>
  79.    <p class="Head3">Example</p>
  80.    <p class="Paragraph">=GAMMALN(2) yields 0.</p>
  81.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  82.    <p class="Paragraph"><help:link Id="66824" Eid="fakultaet" xmlns:help="http://openoffice.org/2000/help">FACT</help:link></p>
  83.    <p class="Head2"><help:help-id value="HID_FUNC_GAMMAVERT" xmlns:help="http://openoffice.org/2000/help"/><a name="gammavert"/><help:key-word value="GAMMADIST" tag="kw66918_8" xmlns:help="http://openoffice.org/2000/help"/>GAMMADIST</p>
  84.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the probabilities of a gamma distribution.</help:help-text></p>
  85.    <p class="Head3">Syntax</p>
  86.    <p class="Paragraph">GAMMADIST(Number; Alpha; Beta; K)</p>
  87.    <p class="Paragraph"><span class="T1">Number</span> is the value for which the Gamma distribution is to be calculated.</p>
  88.    <p class="Paragraph"><span class="T1">Alpha</span> is the parameter Alpha of the Gamma distribution.</p>
  89.    <p class="Paragraph"><span class="T1">Beta</span> is the parameter Alpha of the Gamma distribution</p>
  90.    <p class="Paragraph"><span class="T1">K</span> = 0 calculates the density function <span class="T1">K</span> = 1 the distribution.</p>
  91.    <p class="Head3">Example</p>
  92.    <p class="Paragraph">=GAMMADIST(2; 1; 1; 1) yields 0.86.</p>
  93.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  94.    <p class="Paragraph"><help:link Id="66884" Eid="chivert" xmlns:help="http://openoffice.org/2000/help">CHIDIST</help:link>, <help:link Id="66884" Eid="exponvert" xmlns:help="http://openoffice.org/2000/help">EXPONDIST</help:link>, <help:link Id="66918" Eid="gammainv" xmlns:help="http://openoffice.org/2000/help">GAMMAINV</help:link></p>
  95.    <p class="Head2"><help:help-id value="HID_FUNC_GAUSS" xmlns:help="http://openoffice.org/2000/help"/><a name="gauss"/><help:key-word value="GAUSS" tag="kw66918_7" xmlns:help="http://openoffice.org/2000/help"/>GAUSS</p>
  96.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the standard normal cumulative distribution.</help:help-text></p>
  97.    <p class="Head3">Syntax</p>
  98.    <p class="Paragraph">GAUSS(number)</p>
  99.    <p class="Paragraph"><span class="T1">Number</span> is the value for which the integral value of the normalized standard distribution is to be calculated.</p>
  100.    <p class="Head3">Example</p>
  101.    <p class="Paragraph">GAUSS(0.19) = 0.08</p>
  102.    <p class="Paragraph">GAUSS(0.0375) = 0.01</p>
  103.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  104.    <p class="Paragraph"><help:link Id="66918" Eid="gtest" xmlns:help="http://openoffice.org/2000/help">ZTEST</help:link>, <help:link Id="66889" Eid="normvert" xmlns:help="http://openoffice.org/2000/help">NORMDIST</help:link>, <help:link Id="66834" Eid="standnormvert" xmlns:help="http://openoffice.org/2000/help">NORMSDIST</help:link></p>
  105.    <p class="Head2"><help:help-id value="HID_FUNC_GEOMITTEL" xmlns:help="http://openoffice.org/2000/help"/><a name="geomittel"/><help:key-word value="GEOMEAN" tag="kw66918_6" xmlns:help="http://openoffice.org/2000/help"/>GEOMEAN</p>
  106.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the geometric mean of a sample.</help:help-text></p>
  107.    <p class="Head3">Syntax</p>
  108.    <p class="Paragraph">GEOMEAN(Number 1; Number 2; ...Number 30)</p>
  109.    <p class="Paragraph"><span class="T1">Number 1, Number 2,...Number 30</span> are numeric arguments that represent a random sample.</p>
  110.    <p class="Head3">Example</p>
  111.    <p class="Paragraph">If you enter the values 23, 46 and 69 in text boxes value 1, 2 and 3, the result displayed will be 41.79.</p>
  112.    <p class="Paragraph">GEOMEAN(23; 46; 69) = 41.79. The geometric mean value of this random sample is therefore 41.79.</p>
  113.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  114.    <p class="Paragraph"><help:link Id="66918" Eid="gestutztmittel" xmlns:help="http://openoffice.org/2000/help">TRIMMEAN</help:link>, <help:link Id="66918" Eid="harmittel" xmlns:help="http://openoffice.org/2000/help">HARMEAN</help:link>, <help:link Id="66889" Eid="median" xmlns:help="http://openoffice.org/2000/help">MEDIAN</help:link>, <help:link Id="66889" Eid="mittelwert" xmlns:help="http://openoffice.org/2000/help">AVERAGE</help:link>, <help:link Id="66889" Eid="modalwert" xmlns:help="http://openoffice.org/2000/help">MODE</help:link></p>
  115.    <p class="Head2"><help:help-id value="HID_FUNC_GESTUTZTMITTEL" xmlns:help="http://openoffice.org/2000/help"/><a name="gestutztmittel"/><help:key-word value="TRIMMEAN" tag="kw66918_5" xmlns:help="http://openoffice.org/2000/help"/>TRIMMEAN</p>
  116.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the mean of an interior of a data set.</help:help-text></p>
  117.    <p class="Head3">Syntax</p>
  118.    <p class="Paragraph">TRIMMEAN(Data; Alpha)</p>
  119.    <p class="Paragraph"><span class="T1">Data</span> is the matrix of data in the random sample.</p>
  120.    <p class="Paragraph"><span class="T1">Alpha</span> is the percentage of the marginal data that will not be taken into consideration.</p>
  121.    <p class="Head3">Example</p>
  122.    <p class="Paragraph">=TRIMMEAN(A1:A50; 0,1) calculates the mean value of numbers in A1:A50, without taking into consideration the 5 percent of the values representing the highest values and the 5 percent of the values representing the lowest ones. The percentage numbers refer to the amount of the untrimmed mean value, not to the number of summands.</p>
  123.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  124.    <p class="Paragraph"><help:link Id="66918" Eid="geomittel" xmlns:help="http://openoffice.org/2000/help">GEOMEAN</help:link>, <help:link Id="66918" Eid="harmittel" xmlns:help="http://openoffice.org/2000/help">HARMEAN</help:link>, <help:link Id="66889" Eid="median" xmlns:help="http://openoffice.org/2000/help">MEDIAN</help:link>, <help:link Id="66889" Eid="mittelwert" xmlns:help="http://openoffice.org/2000/help">AVERAGE</help:link>, <help:link Id="66889" Eid="modalwert" xmlns:help="http://openoffice.org/2000/help">MODE</help:link></p>
  125.    <p class="Head2"><help:help-id value="HID_FUNC_GTEST" xmlns:help="http://openoffice.org/2000/help"/><a name="gtest"/><help:key-word value="ZTEST" tag="kw66918_4" xmlns:help="http://openoffice.org/2000/help"/>ZTEST</p>
  126.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the two-tailed P value of a z test with standard distribution.</help:help-text></p>
  127.    <p class="Head3">Syntax</p>
  128.    <p class="Paragraph">ZTEST(Data; x; STD)</p>
  129.    <p class="Paragraph"><span class="T1">Data</span> is the matrix of the data.</p>
  130.    <p class="Paragraph"><span class="T1">X</span> is the value to be tested.</p>
  131.    <p class="Paragraph"><span class="T1">STD</span> (optional) is the standard deviation of the total population. If this argument is missing, the standard deviation of the random sample in question will be processed.</p>
  132.    <p class="Head3">Example</p>
  133.    <p class="Paragraph">=ZTEST(A1:A50; 12) yields the probability that value 12 belongs to the standard distribution of the total population of data in A1:A50.</p>
  134.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  135.    <p class="Paragraph"><help:link Id="66812" Eid="konfidenz" xmlns:help="http://openoffice.org/2000/help">CONFIDENCE</help:link>, <help:link Id="66889" Eid="norminv" xmlns:help="http://openoffice.org/2000/help">NORMINV</help:link>, <help:link Id="66889" Eid="normvert" xmlns:help="http://openoffice.org/2000/help">NORMDIST</help:link>, <help:link Id="66834" Eid="standardisierung" xmlns:help="http://openoffice.org/2000/help">STANDARDIZE</help:link>, <help:link Id="66834" Eid="standnorminv" xmlns:help="http://openoffice.org/2000/help">NORMSINV</help:link>, <help:link Id="66834" Eid="standnormvert" xmlns:help="http://openoffice.org/2000/help">NORMSDIST</help:link></p>
  136.    <p class="Head2"><help:help-id value="HID_FUNC_HARMITTEL" xmlns:help="http://openoffice.org/2000/help"/><a name="harmittel"/><help:key-word value="HARMEAN" tag="kw66918_3" xmlns:help="http://openoffice.org/2000/help"/>HARMEAN</p>
  137.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the harmonic mean of a data set.</help:help-text></p>
  138.    <p class="Head3">Syntax</p>
  139.    <p class="Paragraph">HARMEAN(Number 1; Number 2; ...Number 30)</p>
  140.    <p class="Paragraph"><span class="T1">Number 1,Number 2,...Number 30</span> are up to 30 arguments, that can be used to calculate the harmonic mean.</p>
  141.    <p class="Head3">Example</p>
  142.    <p class="Paragraph">If you enter the values 23, 46 and 69 in the text boxes number 1, 2 and 3 the result that is displayed will be 37.64.</p>
  143.    <p class="Paragraph">HARMEAN(23;46;69) = 37.64. The harmonic mean of this random sample is thus 37.64</p>
  144.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  145.    <p class="Paragraph"><help:link Id="66918" Eid="geomittel" xmlns:help="http://openoffice.org/2000/help">GEOMEAN</help:link>, <help:link Id="66918" Eid="gestutztmittel" xmlns:help="http://openoffice.org/2000/help">TRIMMEAN</help:link>, <help:link Id="66889" Eid="median" xmlns:help="http://openoffice.org/2000/help">MEDIAN</help:link>, <help:link Id="66889" Eid="mittelwert" xmlns:help="http://openoffice.org/2000/help">AVERAGE</help:link>, <help:link Id="66889" Eid="modalwert" xmlns:help="http://openoffice.org/2000/help">MODE</help:link></p>
  146.    <p class="Head2"><help:help-id value="HID_FUNC_HYPGEOMVERT" xmlns:help="http://openoffice.org/2000/help"/><a name="hypgeomvert"/><help:key-word value="HYPGEOMDIST" tag="kw66918_2" xmlns:help="http://openoffice.org/2000/help"/>HYPGEOMDIST</p>
  147.    <p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Returns the hypergeometric distribution.</help:help-text></p>
  148.    <p class="Head3">Syntax</p>
  149.    <p class="Paragraph">HYPGEOMDIST(X; N Random; M; N Total)</p>
  150.    <p class="Paragraph"><span class="T1">X</span> is the number of results achieved in the random sample.</p>
  151.    <p class="Paragraph"><span class="T1">N Random</span> is the size of the random sample.</p>
  152.    <p class="Paragraph"><span class="T1">M</span> is the number of possible results in the total population.</p>
  153.    <p class="Paragraph"><span class="T1">N Total</span> is the size of the total population.</p>
  154.    <p class="Head3">Example</p>
  155.    <p class="Paragraph">=HYPGEOMDIST(2; 2; 90; 100) yields 0.81. If 90 out of 100 pieces of buttered toast fall from the table and hit the floor with the buttered side first, then if I drop 2 pieces of buttered toast from the table the probability is 81%, that both will strike buttered side first.</p>
  156.    <help:embedded Id="65630" Eid="siehe" xmlns:help="http://openoffice.org/2000/help"/>
  157.    <p class="Paragraph"><help:link Id="66884" Eid="binomvert" xmlns:help="http://openoffice.org/2000/help">BINOMDIST</help:link>, <help:link Id="66824" Eid="fakultaet" xmlns:help="http://openoffice.org/2000/help">FACT</help:link>, <help:link Id="66824" Eid="kombinationen" xmlns:help="http://openoffice.org/2000/help">COMBIN</help:link>, <help:link Id="66889" Eid="negbinomvert" xmlns:help="http://openoffice.org/2000/help">NEGBINDIST</help:link>, <help:link Id="66834" Eid="variationen" xmlns:help="http://openoffice.org/2000/help">PERMUT</help:link></p>
  158.   </body></html>