Difference between revisions of "Documentation/How Tos/Calc: Statistical functions"

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==List of Calc Statistical functions==
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{{DISPLAYTITLE:Statistical Functions}}
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{{Documentation/CalcFunc StatisticalTOC
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|bookid=CalcFunctions
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">[[Documentation/Reference/Calc_functions|CALC FUNCTIONS]]</div>
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|parttitle=[[Documentation/How_Tos/Calc:_Statistical_functions|<div style="font-size: 140%;">Statistical Functions]]
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|NextPart=Documentation/How_Tos/Calc:_Text_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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}}__NOTOC__
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== <big>List of Calc Statistical functions</big> ==
  
 
The Statistical functions allow statistical analysis of data.
 
The Statistical functions allow statistical analysis of data.
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|colspan="2"|'''<big>Measures of Central Tendency</big>'''
 
|colspan="2"|'''<big>Measures of Central Tendency</big>'''
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: AVEDEV function|AVEDEV]]
+
|[[Documentation/How_Tos/Calc: AVEDEV function|'''AVEDEV''']]
|Returns the average of the absolute deviations of data points from their mean.  
+
|Returns the average of the absolute deviations of values from their mean.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: AVERAGE function|AVERAGE]]
+
|[[Documentation/How_Tos/Calc: AVERAGE function|'''AVERAGE''']]
 
|Returns the average of the arguments, ignoring text.
 
|Returns the average of the arguments, ignoring text.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: AVERAGEA function|AVERAGEA]]
+
|[[Documentation/How_Tos/Calc: AVERAGEA function|'''AVERAGEA''']]
 
|Returns the average of the arguments, including text (valued as 0).
 
|Returns the average of the arguments, including text (valued as 0).
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: COUNT function|COUNT]]
+
|[[Documentation/How_Tos/Calc: COUNT function|'''COUNT''']]
|Counts how many numbers are in the list of arguments, ignoring text.
+
|Counts the numbers in the list of arguments, ignoring text entries.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: COUNTA function|COUNTA]]
+
|[[Documentation/How_Tos/Calc: COUNTA function|'''COUNTA''']]
|Counts how many values are in the list of arguments, including text entries.
+
|Counts the non-empty values in the list of arguments.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: GEOMEAN function|GEOMEAN]]
+
|[[Documentation/How_Tos/Calc: GEOMEAN function|'''GEOMEAN''']]
 
|Returns the geometric mean of the arguments.
 
|Returns the geometric mean of the arguments.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: HARMEAN function|HARMEAN]]
+
|[[Documentation/How_Tos/Calc: HARMEAN function|'''HARMEAN''']]
 
|Returns the harmonic mean of the arguments.
 
|Returns the harmonic mean of the arguments.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MEDIAN function|MEDIAN]]
+
|[[Documentation/How_Tos/Calc: MEDIAN function|'''MEDIAN''']]
 
|Returns the median of a set of numbers.  
 
|Returns the median of a set of numbers.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MODE function|MODE]]
+
|[[Documentation/How_Tos/Calc: MODE function|'''MODE''']]
|Returns the most common value in a data set.  
+
|Returns the most common value in a set of numbers.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: TRIMMEAN function|TRIMMEAN]]
+
|[[Documentation/How_Tos/Calc: TRIMMEAN function|'''TRIMMEAN''']]
|Returns the mean of a set of numbers, ignoring a proportion of high and low values.
+
|Returns the mean of a set of numbers, ignoring a proportion  
 +
of high and low values.
  
 
|-valign="top"
 
|-valign="top"
 
|colspan="2"|'''<big>Measures of dispersion / spread</big>'''
 
|colspan="2"|'''<big>Measures of dispersion / spread</big>'''
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: DEVSQ function|DEVSQ]]
+
|[[Documentation/How_Tos/Calc: DEVSQ function|'''DEVSQ''']]
 
|Returns the sum of squares of deviations from the mean.
 
|Returns the sum of squares of deviations from the mean.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: KURT function|KURT]]
+
|[[Documentation/How_Tos/Calc: KURT function|'''KURT''']]
|Returns the kurtosis of a data set (at least 4 values required).
+
|Returns the kurtosis, a measure of how peaked or flat a distribution is.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: SKEW function|SKEW]]
+
|[[Documentation/How_Tos/Calc: SKEW function|'''SKEW''']]
|Returns the skewness of a distribution.
+
|Returns a measure of how skewed a distribution is.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STDEV function|STDEV]]
+
|[[Documentation/How_Tos/Calc: STDEV function|'''STDEV''']]
 
|Returns the sample standard deviation.
 
|Returns the sample standard deviation.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STDEVA function|STDEVA]]
+
|[[Documentation/How_Tos/Calc: STDEVA function|'''STDEVA''']]
 
|Returns the sample standard deviation (allowing text and logical values).
 
|Returns the sample standard deviation (allowing text and logical values).
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STDEVP function|STDEVP]]
+
|[[Documentation/How_Tos/Calc: STDEVP function|'''STDEVP''']]
 
|Returns the population standard deviation.
 
|Returns the population standard deviation.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STDEVPA function|STDEVPA]]
+
|[[Documentation/How_Tos/Calc: STDEVPA function|'''STDEVPA''']]
 
|Returns the population standard deviation (allowing text and logical values).
 
|Returns the population standard deviation (allowing text and logical values).
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: VAR function|VAR]]
+
|[[Documentation/How_Tos/Calc: VAR function|'''VAR''']]
 
|Returns the sample variance.
 
|Returns the sample variance.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: VARA function|VARA]]
+
|[[Documentation/How_Tos/Calc: VARA function|'''VARA''']]
 
|Returns the sample variance (allowing text and logical values).
 
|Returns the sample variance (allowing text and logical values).
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: VARP function|VARP]]
+
|[[Documentation/How_Tos/Calc: VARP function|'''VARP''']]
 
|Returns the population variance.
 
|Returns the population variance.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: VARPA function|VARPA]]
+
|[[Documentation/How_Tos/Calc: VARPA function|'''VARPA''']]
 
|Returns the population variance (allowing text and logical values).
 
|Returns the population variance (allowing text and logical values).
  
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|colspan="2"|'''<big>Probability and statistics</big>'''
 
|colspan="2"|'''<big>Probability and statistics</big>'''
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: B function|B]]
+
|[[Documentation/How_Tos/Calc: B function|'''B''']]
 
|Calculates probabilities for a binomial distribution.
 
|Calculates probabilities for a binomial distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: BETADIST function|BETADIST]]
+
|[[Documentation/How_Tos/Calc: BETADIST function|'''BETADIST''']]
|Returns the cumulative beta probability density function.
+
|Calculates the cumulative distribution function of a beta distribution.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: BETAINV function|BETAINV]]
+
|[[Documentation/How_Tos/Calc: BETAINV function|'''BETAINV''']]
|Returns the inverse of the cumulative beta probability density function.
+
|Calculates the inverse of the BETADIST function.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: BINOMDIST function|BINOMDIST]]
+
|[[Documentation/How_Tos/Calc: BINOMDIST function|'''BINOMDIST''']]
 
|Calculates probabilities for a binomial distribution.
 
|Calculates probabilities for a binomial distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CHIINV function|CHIINV]]
+
|[[Documentation/How_Tos/Calc: CHIDIST function|'''CHIDIST''']]
|Returns the inverse of the one-tailed probability of the chi-squared distribution.
+
|Calculates right-tail values for a cumulative &chi;<sup>2</sup>-distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CHITEST function|CHITEST]]
+
|[[Documentation/How_Tos/Calc: CHISQDIST function|'''CHISQDIST''']]
|Returns the probability of a deviance from a random distribution of two test series based on the chi-squared test for independence.  
+
|Calculates left-tail values for a cumulative &chi;<sup>2</sup>-distribution
 +
or values for the density function.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CHIDIST function|CHIDIST]]
+
|[[Documentation/How_Tos/Calc: CHIINV function|'''CHIINV''']]
|Returns the probability value from the indicated Chi square that a hypothesis is confirmed.  
+
|Calculates the inverse of the CHIDIST function.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CONFIDENCE function|CONFIDENCE]]
+
|[[Documentation/How_Tos/Calc: CHISQINV function|'''CHISQINV''']]
|Returns the (1-alpha) confidence interval for a normal distribution.
+
|Calculates the inverse of the CHISQDIST function.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CRITBINOM function|CRITBINOM]]
+
|[[Documentation/How_Tos/Calc: CHITEST function|'''CHITEST''']]
|Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value.
+
|Returns a measure of &chi;<sup>2</sup> 'goodness of fit'.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: EXPONDIST function|EXPONDIST]]
+
|[[Documentation/How_Tos/Calc: CONFIDENCE function|'''CONFIDENCE''']]
 +
|Returns a confidence interval.
 +
|-valign="top"
 +
|[[Documentation/How_Tos/Calc: CRITBINOM function|'''CRITBINOM''']]
 +
|Returns the smallest value for which the cumulative binomial distribution
 +
is greater than or equal to a criterion value.
 +
|-valign="top"
 +
|[[Documentation/How_Tos/Calc: EXPONDIST function|'''EXPONDIST''']]
 
|Calculates values for an exponential distribution.
 
|Calculates values for an exponential distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FINV function|FINV]]
+
|[[Documentation/How_Tos/Calc: FINV function|'''FINV''']]
 
|Returns the inverse of the F probability distribution.
 
|Returns the inverse of the F probability distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FISHER function|FISHER]]
+
|[[Documentation/How_Tos/Calc: FISHER function|'''FISHER''']]
 
|Calculates values for the Fisher transformation.
 
|Calculates values for the Fisher transformation.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FISHERINV function|FISHERINV]]
+
|[[Documentation/How_Tos/Calc: FISHERINV function|'''FISHERINV''']]
 
|Calculates the inverse of the FISHER transformation.  
 
|Calculates the inverse of the FISHER transformation.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FDIST function|FDIST]]
+
|[[Documentation/How_Tos/Calc: FDIST function|'''FDIST''']]
 
|Calculates the values of an F distribution.
 
|Calculates the values of an F distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FTEST function|FTEST]]
+
|[[Documentation/How_Tos/Calc: FTEST function|'''FTEST''']]
 
|Returns the result of an F test.
 
|Returns the result of an F test.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: GAMMAINV function|GAMMAINV]]
+
|[[Documentation/How_Tos/Calc: GAMMA function|'''GAMMA''']]
 +
|Calculates the GAMMA function; not a statical function, but actually
 +
in this category.
 +
|-valign="top"
 +
|[[Documentation/How_Tos/Calc: GAMMAINV function|'''GAMMAINV''']]
 
|Calculates the inverse of the cumulative GAMMADIST function.  
 
|Calculates the inverse of the cumulative GAMMADIST function.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: GAMMALN function|GAMMALN]]
+
|[[Documentation/How_Tos/Calc: GAMMALN function|'''GAMMALN''']]
 
|Returns the natural logarithm of the gamma function.
 
|Returns the natural logarithm of the gamma function.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: GAMMADIST function|GAMMADIST]]
+
|[[Documentation/How_Tos/Calc: GAMMADIST function|'''GAMMADIST''']]
 
|Calculates values for a gamma distribution.
 
|Calculates values for a gamma distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: GAUSS function|GAUSS]]
+
|[[Documentation/How_Tos/Calc: GAUSS function|'''GAUSS''']]
 
|Returns the standard normal cumulative distribution.
 
|Returns the standard normal cumulative distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: HYPGEOMDIST function|HYPGEOMDIST]]
+
|[[Documentation/How_Tos/Calc: HYPGEOMDIST function|'''HYPGEOMDIST''']]
 
|Calculates values for a hypergeometric distribution.
 
|Calculates values for a hypergeometric distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: LOGINV function|LOGINV]]
+
|[[Documentation/How_Tos/Calc: LOGINV function|'''LOGINV''']]
 
|Returns the inverse of the lognormal distribution.
 
|Returns the inverse of the lognormal distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: LOGNORMDIST function|LOGNORMDIST]]
+
|[[Documentation/How_Tos/Calc: LOGNORMDIST function|'''LOGNORMDIST''']]
 
|Returns the cumulative lognormal distribution.
 
|Returns the cumulative lognormal distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: NEGBINOMDIST function|NEGBINOMDIST]]
+
|[[Documentation/How_Tos/Calc: NEGBINOMDIST function|'''NEGBINOMDIST''']]
 
|Calculates probabilities for a negative binomial distribution.  
 
|Calculates probabilities for a negative binomial distribution.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: NORMINV function|NORMINV]]
+
|[[Documentation/How_Tos/Calc: NORMINV function|'''NORMINV''']]
 
|Returns the inverse of the normal cumulative distribution.
 
|Returns the inverse of the normal cumulative distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: NORMDIST function|NORMDIST]]
+
|[[Documentation/How_Tos/Calc: NORMDIST function|'''NORMDIST''']]
 
|Calculates values for a normal distribution.
 
|Calculates values for a normal distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: NORMSINV function|NORMSINV]]
+
|[[Documentation/How_Tos/Calc: NORMSINV function|'''NORMSINV''']]
 
|Returns the inverse of the standard normal cumulative distribution.
 
|Returns the inverse of the standard normal cumulative distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: NORMSDIST function|NORMSDIST]]
+
|[[Documentation/How_Tos/Calc: NORMSDIST function|'''NORMSDIST''']]
 
|Calculates values for the standard normal cumulative distribution.  
 
|Calculates values for the standard normal cumulative distribution.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PERMUT function|PERMUT]]
+
|[[Documentation/How_Tos/Calc: PERMUT function|'''PERMUT''']]
 
|Returns the number of permutations for a given number of objects.
 
|Returns the number of permutations for a given number of objects.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PERMUTATIONA function|PERMUTATIONA]]
+
|[[Documentation/How_Tos/Calc: PERMUTATIONA function|'''PERMUTATIONA''']]
|Returns the number of permutations for a given number of objects (repetition allowed).
+
|Returns the number of permutations for a given number of objects  
 +
(repetition allowed).
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PHI function|PHI]]
+
|[[Documentation/How_Tos/Calc: PHI function|'''PHI''']]
 
|Calculates values for the standard normal probability distribution.
 
|Calculates values for the standard normal probability distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: POISSON function|POISSON]]
+
|[[Documentation/How_Tos/Calc: POISSON function|'''POISSON''']]
 
|Calculates values for a Poisson distribution.
 
|Calculates values for a Poisson distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PROB function|PROB]]
+
|[[Documentation/How_Tos/Calc: PROB function|'''PROB''']]
 
|Returns a result from a list of probabilities.
 
|Returns a result from a list of probabilities.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STANDARDIZE function|STANDARDIZE]]
+
|[[Documentation/How_Tos/Calc: STANDARDIZE function|'''STANDARDIZE''']]
 
|Converts a random variable to a normalized value.
 
|Converts a random variable to a normalized value.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: TDIST function|TDIST]]
+
|[[Documentation/How_Tos/Calc: TDIST function|'''TDIST''']]
 
|Returns the t-distribution.
 
|Returns the t-distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: TINV function|TINV]]
+
|[[Documentation/How_Tos/Calc: TINV function|'''TINV''']]
 
|Returns the inverse of the t-distribution.
 
|Returns the inverse of the t-distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: TTEST function|TTEST]]
+
|[[Documentation/How_Tos/Calc: TTEST function|'''TTEST''']]
 
|Returns the probability associated with a Student's t-Test.
 
|Returns the probability associated with a Student's t-Test.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: WEIBULL function|WEIBULL]]
+
|[[Documentation/How_Tos/Calc: WEIBULL function|'''WEIBULL''']]
 
|Returns the values of the Weibull distribution.
 
|Returns the values of the Weibull distribution.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: ZTEST function|ZTEST]]
+
|[[Documentation/How_Tos/Calc: ZTEST function|'''ZTEST''']]
 
|Returns the two-tailed P value of a z test with standard distribution.
 
|Returns the two-tailed P value of a z test with standard distribution.
  
Line 194: Line 227:
 
|colspan="2"|'''<big>Correlation and line fitting</big>'''
 
|colspan="2"|'''<big>Correlation and line fitting</big>'''
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: CORREL function|CORREL]]
+
|[[Documentation/How_Tos/Calc: CORREL function|'''CORREL''']]
 
|Returns the correlation coefficient between two data sets.
 
|Returns the correlation coefficient between two data sets.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: COVAR function|COVAR]]
+
|[[Documentation/How_Tos/Calc: COVAR function|'''COVAR''']]
 
|Returns the covariance of the product of paired deviations.
 
|Returns the covariance of the product of paired deviations.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: FORECAST function|FORECAST]]
+
|[[Documentation/How_Tos/Calc: FORECAST function|'''FORECAST''']]
 
|Extrapolates future values based on existing x and y values.
 
|Extrapolates future values based on existing x and y values.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: INTERCEPT function|INTERCEPT]]
+
|[[Documentation/How_Tos/Calc: INTERCEPT function|'''INTERCEPT''']]
|Calculates the point at which a line will intersect the y-values by using known x-values and y-values.
+
|Calculates the point at which a line will intersect the y-values  
 +
by using known x-values and y-values.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PEARSON function|PEARSON]]
+
|[[Documentation/How_Tos/Calc: PEARSON function|'''PEARSON''']]
 
|Returns the Pearson product moment correlation coefficient r.
 
|Returns the Pearson product moment correlation coefficient r.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: RSQ function|RSQ]]
+
|[[Documentation/How_Tos/Calc: RSQ function|'''RSQ''']]
|Returns the square of the Pearson correlation coefficient based on the given values.  
+
|Returns the square of the Pearson correlation coefficient based on  
 +
the given values.  
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: SLOPE function|SLOPE]]
+
|[[Documentation/How_Tos/Calc: SLOPE function|'''SLOPE''']]
 
|Returns the slope of the linear regression line for a data set.
 
|Returns the slope of the linear regression line for a data set.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: STEYX function|STEYX]]
+
|[[Documentation/How_Tos/Calc: STEYX function|'''STEYX''']]
|Returns the standard error of the predicted y value for each x in the regression.
+
|Returns the standard error of the predicted y value for each x in  
 +
the regression.
 
|-valign="top"
 
|-valign="top"
 
|colspan="2"|'''see also (in the Array Function category)'''
 
|colspan="2"|'''see also (in the Array Function category)'''
 
|-valign="top"
 
|-valign="top"
 
|[[Documentation/How_Tos/Calc: GROWTH function|'''GROWTH''']]
 
|[[Documentation/How_Tos/Calc: GROWTH function|'''GROWTH''']]
|returns an array of values for an exponential least squares fit to known data pairs.
+
|returns an array of values for an exponential least squares fit to  
 +
known data pairs.
 
|-valign="top"
 
|-valign="top"
 
|[[Documentation/How_Tos/Calc: LINEST function|'''LINEST''']]
 
|[[Documentation/How_Tos/Calc: LINEST function|'''LINEST''']]
|returns an array of statistics for a straight line that best fits a data set.
+
|returns an array of statistics for a straight line that best fits a  
 +
data set.
 
|-valign="top"
 
|-valign="top"
 
|[[Documentation/How_Tos/Calc: LOGEST function|'''LOGEST''']]
 
|[[Documentation/How_Tos/Calc: LOGEST function|'''LOGEST''']]
|returns an array of statistics for an exponential curve that best fits a data set.
+
|returns an array of statistics for an exponential curve that best fits a  
 +
data set.
 
|-valign="top"
 
|-valign="top"
 
|[[Documentation/How_Tos/Calc: TREND function|'''TREND''']]
 
|[[Documentation/How_Tos/Calc: TREND function|'''TREND''']]
|fits a straight line to a data set using linear regression and returns points on that line.
+
|fits a straight line to a data set using linear regression and returns  
 +
points on that line.
  
 
|-valign="top"
 
|-valign="top"
 
|colspan="2"|'''<big>Ranking</big>'''
 
|colspan="2"|'''<big>Ranking</big>'''
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: LARGE function|LARGE]]
+
|[[Documentation/How_Tos/Calc: LARGE function|'''LARGE''']]
 
|Returns the n<sup>th</sup> largest value in a list of numbers.
 
|Returns the n<sup>th</sup> largest value in a list of numbers.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MAX function|MAX]]
+
|[[Documentation/How_Tos/Calc: MAX function|'''MAX''']]
 
|Returns the maximum value in a list of arguments.
 
|Returns the maximum value in a list of arguments.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MAXA function|MAXA]]
+
|[[Documentation/How_Tos/Calc: MAXA function|'''MAXA''']]
 
|Returns the maximum value in a list of arguments including text.
 
|Returns the maximum value in a list of arguments including text.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MIN function|MIN]]
+
|[[Documentation/How_Tos/Calc: MIN function|'''MIN''']]
 
|Returns the minimum value in a list of arguments.
 
|Returns the minimum value in a list of arguments.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: MINA function|MINA]]
+
|[[Documentation/How_Tos/Calc: MINA function|'''MINA''']]
 
|Returns the minimum value in a list of arguments, including text.
 
|Returns the minimum value in a list of arguments, including text.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PERCENTILE function|PERCENTILE]]
+
|[[Documentation/How_Tos/Calc: PERCENTILE function|'''PERCENTILE''']]
 
|Returns a specified percentile in a list of numbers.
 
|Returns a specified percentile in a list of numbers.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: PERCENTRANK function|PERCENTRANK]]
+
|[[Documentation/How_Tos/Calc: PERCENTRANK function|'''PERCENTRANK''']]
 
|Returns the percentage rank of a number in a list of numbers.
 
|Returns the percentage rank of a number in a list of numbers.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: QUARTILE function|QUARTILE]]
+
|[[Documentation/How_Tos/Calc: QUARTILE function|'''QUARTILE''']]
 
|Returns a specified quartile in a list of numbers.
 
|Returns a specified quartile in a list of numbers.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: RANK function|RANK]]
+
|[[Documentation/How_Tos/Calc: RANK function|'''RANK''']]
 
|Returns the rank of a number in a list of numbers.
 
|Returns the rank of a number in a list of numbers.
 
|-valign="top"
 
|-valign="top"
|[[Documentation/How_Tos/Calc: SMALL function|SMALL]]
+
|[[Documentation/How_Tos/Calc: SMALL function|'''SMALL''']]
 
|Returns the n<sup>th</sup> smallest value in a list of numbers.
 
|Returns the n<sup>th</sup> smallest value in a list of numbers.
  
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<!-- why on earth is this necessary? -->
 
<!-- why on earth is this necessary? -->
  
==See also==
+
{{SeeAlso|EN|
 
+
* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]],
'''[[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]'''
+
* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]
 +
}}
 +
[[Category: Documentation/Reference/Calc]]

Latest revision as of 13:03, 2 February 2024



Open.jpg

List of Calc Statistical functions

The Statistical functions allow statistical analysis of data.

Measures of Central Tendency
AVEDEV Returns the average of the absolute deviations of values from their mean.
AVERAGE Returns the average of the arguments, ignoring text.
AVERAGEA Returns the average of the arguments, including text (valued as 0).
COUNT Counts the numbers in the list of arguments, ignoring text entries.
COUNTA Counts the non-empty values in the list of arguments.
GEOMEAN Returns the geometric mean of the arguments.
HARMEAN Returns the harmonic mean of the arguments.
MEDIAN Returns the median of a set of numbers.
MODE Returns the most common value in a set of numbers.
TRIMMEAN Returns the mean of a set of numbers, ignoring a proportion

of high and low values.

Measures of dispersion / spread
DEVSQ Returns the sum of squares of deviations from the mean.
KURT Returns the kurtosis, a measure of how peaked or flat a distribution is.
SKEW Returns a measure of how skewed a distribution is.
STDEV Returns the sample standard deviation.
STDEVA Returns the sample standard deviation (allowing text and logical values).
STDEVP Returns the population standard deviation.
STDEVPA Returns the population standard deviation (allowing text and logical values).
VAR Returns the sample variance.
VARA Returns the sample variance (allowing text and logical values).
VARP Returns the population variance.
VARPA Returns the population variance (allowing text and logical values).
Probability and statistics
B Calculates probabilities for a binomial distribution.
BETADIST Calculates the cumulative distribution function of a beta distribution.
BETAINV Calculates the inverse of the BETADIST function.
BINOMDIST Calculates probabilities for a binomial distribution.
CHIDIST Calculates right-tail values for a cumulative χ2-distribution.
CHISQDIST Calculates left-tail values for a cumulative χ2-distribution

or values for the density function.

CHIINV Calculates the inverse of the CHIDIST function.
CHISQINV Calculates the inverse of the CHISQDIST function.
CHITEST Returns a measure of χ2 'goodness of fit'.
CONFIDENCE Returns a confidence interval.
CRITBINOM Returns the smallest value for which the cumulative binomial distribution

is greater than or equal to a criterion value.

EXPONDIST Calculates values for an exponential distribution.
FINV Returns the inverse of the F probability distribution.
FISHER Calculates values for the Fisher transformation.
FISHERINV Calculates the inverse of the FISHER transformation.
FDIST Calculates the values of an F distribution.
FTEST Returns the result of an F test.
GAMMA Calculates the GAMMA function; not a statical function, but actually

in this category.

GAMMAINV Calculates the inverse of the cumulative GAMMADIST function.
GAMMALN Returns the natural logarithm of the gamma function.
GAMMADIST Calculates values for a gamma distribution.
GAUSS Returns the standard normal cumulative distribution.
HYPGEOMDIST Calculates values for a hypergeometric distribution.
LOGINV Returns the inverse of the lognormal distribution.
LOGNORMDIST Returns the cumulative lognormal distribution.
NEGBINOMDIST Calculates probabilities for a negative binomial distribution.
NORMINV Returns the inverse of the normal cumulative distribution.
NORMDIST Calculates values for a normal distribution.
NORMSINV Returns the inverse of the standard normal cumulative distribution.
NORMSDIST Calculates values for the standard normal cumulative distribution.
PERMUT Returns the number of permutations for a given number of objects.
PERMUTATIONA Returns the number of permutations for a given number of objects

(repetition allowed).

PHI Calculates values for the standard normal probability distribution.
POISSON Calculates values for a Poisson distribution.
PROB Returns a result from a list of probabilities.
STANDARDIZE Converts a random variable to a normalized value.
TDIST Returns the t-distribution.
TINV Returns the inverse of the t-distribution.
TTEST Returns the probability associated with a Student's t-Test.
WEIBULL Returns the values of the Weibull distribution.
ZTEST Returns the two-tailed P value of a z test with standard distribution.
Correlation and line fitting
CORREL Returns the correlation coefficient between two data sets.
COVAR Returns the covariance of the product of paired deviations.
FORECAST Extrapolates future values based on existing x and y values.
INTERCEPT Calculates the point at which a line will intersect the y-values

by using known x-values and y-values.

PEARSON Returns the Pearson product moment correlation coefficient r.
RSQ Returns the square of the Pearson correlation coefficient based on

the given values.

SLOPE Returns the slope of the linear regression line for a data set.
STEYX Returns the standard error of the predicted y value for each x in

the regression.

see also (in the Array Function category)
GROWTH returns an array of values for an exponential least squares fit to

known data pairs.

LINEST returns an array of statistics for a straight line that best fits a

data set.

LOGEST returns an array of statistics for an exponential curve that best fits a

data set.

TREND fits a straight line to a data set using linear regression and returns

points on that line.

Ranking
LARGE Returns the nth largest value in a list of numbers.
MAX Returns the maximum value in a list of arguments.
MAXA Returns the maximum value in a list of arguments including text.
MIN Returns the minimum value in a list of arguments.
MINA Returns the minimum value in a list of arguments, including text.
PERCENTILE Returns a specified percentile in a list of numbers.
PERCENTRANK Returns the percentage rank of a number in a list of numbers.
QUARTILE Returns a specified quartile in a list of numbers.
RANK Returns the rank of a number in a list of numbers.
SMALL Returns the nth smallest value in a list of numbers.




See Also
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