Probability Theory with Simulations - Part-VI List of statistical Excel functions - Andras Vetier

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1 Probability Theory with Simulations - Part-VI List of statistical Excel functions - Andras Vetier

2 The Hungarian names of the Excel functions are given on the right end of the lines. AVEDEV(array) ÁTL.ELTÉRÉS Average absolute deviation from the average. AVERAGE(array) ÁTLAG Average. BETADIST(x;α;β;A; B) BÉTA.ELOSZLÁS Distribution function of the beta distribution on interval (A, B). BETAINV(y;α;β;A; B) INVERZ.BÉTA Inverse of the distribution function of the beta distribution on interval (A, B). BINOMDIST(k; n; p;false) BINOM.ELOSZLÁS Weight function of the binomial distribution. BINOMDIST(k; n; p;true) BINOM.ELOSZLÁS Distribution function of the binomial distribution. CORREL(array 1 ;array 2 ) KORREL Correlation coefficient. COUNT(array) DARAB Number of cells containing numerical values. 2

3 COUNTA(array) DARAB2 Number of cells containing anything. cells. Number of non-empty COUNTBLANK(array) DARABÜRES Number of empty cells. COUNTIF(array;crit) DARABTELI Number of the cells satisfying a criterion. COVAR(array 1 ;array 2 ) KOVAR Covariance. CRITBINOM(n; p; y) KRITBINOM Generalized inverse of the distribution function of binomial distribution: greatest k value for which the sum of the terms of the binomial distribution from 0 to k is still less than or equal to y. EXPONDIST(x;λ;FALSE) EXP.ELOSZLÁS Density function of the exponential distribution with parameter λ. EXPONDIST(x;λ;TRUE) EXP.ELOSZLÁS Distribution function of the exponential distribution with parameter λ. 3

4 FREQUENCY(data-array;bins-array) GYAKORISÁG Using this function a vertical table of frequencies can be constructed. Attention! This is a so called "matrix valued function". GAMMADIST(x;n;β;FALSE) GAMMA.ELOSZLÁS Density function of the gamma distribution with order n and parameter 1 β. When α = 1, GAMMADIST returns the exponential distribution with parameter λ = 1 β. GAMMADIST(x;n;β;TRUE) GAMMA.ELOSZLÁS Distribution function of the gamma distribution with order n and parameter 1 β. When α = 1, GAMMADIST returns the exponential distribution with parameter λ = 1 β. GAMMAINV(y;n;β) INVERZ.GAMMA Inverse of the distribution function of the gamma distribution with order n and parameter 1 β. HYPGEOMDIST(k; n; K; N) HIPERGEOM.ELOSZLÁS Weight function of the hyper-geometrical distribution. INTERCEPT(known-y;known-x) METSZ Intercept. LARGE(array;k) NAGY The k-th largest element in an array. 4

5 LOGINV(y;µ;σ) INVERZ.LOG.ELOSZLÁS Inverse of the distribution function of the log-normal distribution. LOGNORMDIST(x;µ;σ) LOG.ELOSZLÁS Distribution function of the log-normal distribution. MAX(array) MAX Maximum. MEDIAN(array) MEDIÁN Median. MIN(array) MIN Minimum. MODE(array) MÓDUSZ Mode. NEGBINOMDIST(k; r; p) NEGBINOM.ELOSZL Weight function of the negative binomial distribution ("pessimistic"). NORMDIST(x;µ;σ;FALSE) NORM.ELOSZL Density function of the normal distribution. 5

6 NORMDIST(x;µ;σ;TRUE) NORM.ELOSZL Distribution function of the normal distribution. NORMINV(y;µ;σ) INVERZ.NORM Inverse of the distribution function of the normal distribution. NORMSDIST(z ) STNORMELOSZL Distribution function of the standard normal distribution. This is the function usually denoted by Φ. NORMSINV(y) INVERZ.STNORM Inverse of the distribution function of the standard normal distribution, usually denoted by Φ 1. PERCENTILE(array;k) PERCENTILIS Percentile (=Quantile). POISSON(x;λ;FALSE) POISSON Weight function of the Poisson-distribution. POISSON(x;λ;TRUE) POISSON Density function of the Poisson-distribution. QUARTILE(array;1) KVARTILIS Lower quartile. 6

7 QUARTILE(array;2) KVARTILIS Inner quartile (=median). QUARTILE(array;3) KVARTILIS Upper quartile. SLOPE(known-y;known-x) MEREDEKSÉG Slope. SMALL(array;k) KICSI The k-th smallest element in an array. STANDARDIZE(x;µ;σ) NORMALIZÁLÁS Standardization: y = x µ σ. STDEV(array) SZÓRÁS Sample standard deviation. STDEVP(array) SZÓRÁSP Population standard deviation. TDIST(x;d;1) T.ELOSZLÁS Tail function (right sided distribution function) of the 1-sided t- distribution (student distribution) with parameter (degree of freedom) d. This distribution is symmetrical about the origin. 7

8 TDIST(x;d;2) T.ELOSZLÁS Tail function (right sided distribution function) of the 2-sided t- distribution (student distribution) with parameter (degree of freedom) d. This distribution is concentrated on the right side of the origin. This distribution can be derived from the 1-sided t- distribution by the absolute value function. TINV(y;d) INVERZ.T Inverse of the tail function (right sided distribution function) of the 2-sided t-distribution (student distribution) with parameter (degree of freedom) d. VAR(array) VAR Sample variance. VARP(array) VARP Population variance. 8

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