# Probability and Statistics

Probability is the chance that an event will or will not occur. Statistics is the study of probability and provides information that summarizes data and presents it in an easily interpreted form. You can use the Statistics functions to perform probability, descriptive statistics, analysis of variance, and interpolation functions.

The LabWindows/CVI Advanced Analysis Library includes the following probability and statistics functions:

Function | Description
--- | ---
ANOVA1Way | Takes an array of experimental observations you make at various levels of some factor, with at least one observation per factor, and performs a one-way analysis of variance (ANOVA) in the fixed effect model.
ANOVA2Way | Takes an array of experimental observations made at various levels of two factors and performs a two-way analysis of variance in any of four possible models.
ANOVA3Way | Takes an array of experimental observations made at various levels of three factors and performs a three-way analysis of variance in any of four possible models.
Contingency_Table | Creates a contingency table in which to classify and tally objects of experimentation according to two schemes of categorization.
Erf | Evaluates the error function at the input value.
Erfc | Evaluates the complementary error function.
F_Dist | Calculates the one-sided probability using a random variable from the F-distribution.
Histogram | Calculates the histogram of the input array.
InvF_Dist | Calculates f such that prob(F < f) = p, where F is a random variable from an F-distribution with the specified degrees of freedom.
InvN_Dist | Calculates x such that prob(X < x) = p, where X is a random variable from a standard normal distribution.
InvT_Dist | Calculates t such that prob(T < t) = p, where T is a random variable from a T-distribution with the specified degrees of freedom.
InvXX_Dist | Calculates xx such that prob( < x) = p, where is a random variable from a chi-square distribution with the specified degrees of freedom.
Mean | Calculates the mean, or average, value of the input array.
Median | Finds the median value of the input array.
Mode | Finds the unique mode of a list of numbers.
ModeEx | Finds the mode(s) of a list of numbers.
Moment | Calculates the moment about the mean of the input array with the specified order.
N_Dist | Calculates the one-sided probability using a random variable from a standard normal distribution.
RMS | Calculates the root-mean-square (rms) value of the input array.
StdDev | Calculates the standard deviation and the mean, or average, values of the input array.
T_Dist | Calculates the one-sided probability using a random variable from the T-distribution.
Variance | Calculates the variance and the mean, or average, values of the input array.
XX_Dist | Approximates the one-sided probability using a random variable from the 2-distribution.