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
if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Ans) Let they get a,b,c,d respectively. You requireto find the non negative integral results of a+b+c+d=3

The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides. Ans: APQ x 2 + y 2 = 202 x 2  + y 2 = 400

Before going further, let us repeat an aspect of learning which is useful to keep in mind while formulating teaching strategies. A child who can add or subtract in the context of s


Truth Criteria :  Consider the following statements: i) Peahens (i.e., female peacocks) lay eggs around September. ii) Water boils at 100°C. iii) 5 divides 15 without lea

INTRODUCTION : All of us have encountered mathematics while growing up. Some of us have grown to like it, and therefore, enjoy. doing it. Some others have developed a lukewarm rel

Two stations due south of a tower, which leans towards north are at distances 'a' and 'b' from its foot. If α and β be the elevations of the top of the tower from the situation, Pr

The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is

Comparison Test or Limit Comparison Test In the preceding section we saw how to relate a series to an improper integral to find out the convergence of a series.  When the inte