Mathematica > Data Manipulation > Statistics > Statistical Distributions > Continuous Statistical Distributions >
Mathematica > Mathematics and Algorithms > Statistics > Statistical Distributions > Continuous Statistical Distributions >

StudentTDistribution

Updated In 7 Graphic
StudentTDistribution[Nu]
represents a Student t distribution with Nu degrees of freedom.
StudentTDistribution[Mu, Sigma, Nu]
represents a Student t distribution with location parameter Mu, scale parameter Sigma and Nu degrees of freedom.
  • The probability density for value x in a Student t distribution with Nu degrees of freedom is proportional to (nu/(nu+x^2))^((1+nu)/2). »
  • With location parameter Mu and scale Sigma, (x-mu)/sigma follows a standard Student t distribution with Nu degrees of freedom.
  • For integer Nu, the Student t distribution gives the distribution of the deviation from the true mean of the observed mean for a sample of Nu values from a normal distribution, normalized by standard deviation of the sample.
New in 6 | Last modified in 7
© 2008 Wolfram Research, Inc.
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team