MagicPlot Manual

Plotting and nonlinear fitting software

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statistics [Fri May 20 19:44:45 2011]
Alexander
statistics [Thu Jan 14 17:15:05 2021] (current)
Alexander
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-====== Descriptive Statistics (Pro edition only) ======+====== Descriptive Statistics ======
 Select ''Tools -> Statistics'' menu item to open the statistics dialog. Statistics dialog shows statistics on currently selected table columns or curves on plot. The statistics is updated every time you activate different windows or change the selection in active window. Select multiple instances in one window (columns or curves) to view multiple statistics data. Select ''Tools -> Statistics'' menu item to open the statistics dialog. Statistics dialog shows statistics on currently selected table columns or curves on plot. The statistics is updated every time you activate different windows or change the selection in active window. Select multiple instances in one window (columns or curves) to view multiple statistics data.
  
-{{:statistics_dialog.png|Statistics dialog}}+{{:statistics_dialog.png?nolink|Statistics dialog}}
  
 ==== Showed Statistical Properties ==== ==== Showed Statistical Properties ====
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 ===== Statistical Functions in Column Formulas ===== ===== Statistical Functions in Column Formulas =====
 You can also calculate statistics on table columns using column statistics functions when entering column formula. See ''Functions'' tab in ''Set Column Formula'' dialog for column statistics functions description. These functions are also available in MagicPlot Student edition. You can also calculate statistics on table columns using column statistics functions when entering column formula. See ''Functions'' tab in ''Set Column Formula'' dialog for column statistics functions description. These functions are also available in MagicPlot Student edition.
 +
 +===== Computational Formulas =====
 +Central moments are calculated as follows (see table). All sums are calculated using [[wp>Compensated_summation|compensated summation]]. Central moments are calculated on second pass after Mean calculation.
 +^  Property  ^  Formula  ^
 +| //n// | The number of non-empty cells  |
 +| Mean | <m>nu_1 = 1/n sum{j}{}{a_j}</m>  |
 +| [[wp>Central moment|Central moments]] | <m>mu_k = 1/n sum{j}{}{(a_j − nu_1)^k}, ~ k = 2...4</m> |
 +
 +MagicPlot uses the following formulas to calculate statistics:
 +^  Property  ^  Formula  ^
 +| Mean (expected value) | <m>mu = nu_1</m> |
 +| Variance | <m>sigma^2 = {n / {n − 1}} mu_2</m> |
 +| Standard deviation | <m>sigma = sqrt{sigma^2}</m> |
 +| Skewness | <m>gamma_1 = sqrt{n (n − 1)} / {n − 2} {mu_3} / {sigma^3}</m> |
 +| Kurtosis | <m>gamma_2 = {n − 1} / {(n − 2)(n − 3)} ({(n + 1) {mu_4} / {sigma^4} − 3 (n − 1)})</m> |
 +| Y Sum | <m>s = sum{j}{}{a_j}</m> |
 +
statistics.1305906285.txt.gz · Last modified: Sun Nov 8 12:20:34 2015 (external edit)