Properties of t distribution, Mathematics

Properties of t distribution

1. The t distribution ranges from - ∞ to ∞ first as does the general distribution

2. The t distribution as the standard general distribution is bell shaped and symmetrical around mean zero

3. The shapes of the t distribution changes like the number of degrees of freedom changes

4. The t distribution is more platykurtic that the normal distribution

5. The t distribution has a greater dispersion than the standard general distribution. Like n gets larger the t distribution approaches the general distribution while n = 30 the difference is extremely small

 Relation among the t distribution and standard general distribution is displayed in the given diagram

1649_Properties of t distribution.png

 Note that the t distribution has different shapes depending on the size of the sample. When the sample is rather small the height of the t distribution is shorter than the general distribution and the tails are wider.

Posted Date: 2/20/2013 6:43:25 AM | Location : United States







Related Discussions:- Properties of t distribution, Assignment Help, Ask Question on Properties of t distribution, Get Answer, Expert's Help, Properties of t distribution Discussions

Write discussion on Properties of t distribution
Your posts are moderated
Related Questions
Next we have to talk about evaluating functions.  Evaluating a function is in fact nothing more than asking what its value is for particular values of x. Another way of looking at

Your bank has a loan outstanding with a current balance of $1,000,000 that is payable in quarterly equal instalments of $49,924.  This loan has another 6 years to maturity.  The bo

Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp


As1212uestion #Minimum 100 words accepted#


Cartesian Graph of Density of Water - Temperature: Example:  The  density  of  water  was  measured  over  a  range  of  temperatures.   Plot the subsequent recorded data on

give me the derivation of external division of sectional formula using vectors

Determine or find out the direction cosines and direction angles for a = (2, 1, -4) Solution We will require the magnitude of the vector. ||a|| = √ (4+1+16) = √ (21)