# Student's t-distribution (percentile) Calculator

## Calculates the percentile from the value of the lower or upper cumulative distribution function of the student's t-distribution.

 cumulative mode lower Pupper Q cumulative distribution 0≦P,Q≦1 degree of freedom ν ν＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Student's\ t-distribution\ t(x,\nu)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu)={\large\frac{(1+\frac{x^2}{\nu})^{-\frac{\nu+1}{2}}}{\sqrt{\nu}B(\frac{1}{2},\frac{\nu}{2})}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t,\nu)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu)dt\\$

Student's t-distribution (percentile)
 [1-4] /4 Disp-Num5103050100200
[1]  2016/10/24 06:50   - / 60 years old level or over / A retired people / Very /
Purpose of use
Accurate computation of distribution where tables and more common calculators differ are inadequate. Used in statistics homework.
[2]  2015/01/29 22:52   Female / 50 years old level / A teacher / A researcher / Very /
Purpose of use
use z table for sample and power calculations
[3]  2014/10/05 10:00   Female / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
Statistics calculator
[4]  2013/11/26 17:38   Male / 40 years old level / A teacher / A researcher / A little /
Purpose of use
student t distribution table
Comment/Request
simply given example

Sending completion

To improve this 'Student's t-distribution (percentile) Calculator', please fill in questionnaire.
Male or Female ?
Age

Occupation

Useful?

Purpose of use?