Question

1. T distribution with n degree of freedom is T=z/squart root (x/n) does that mean n-1 degree of freedom will be T=z/squart root (x/n-1) ?

2. what is the degrees of freedom. ????? please give me some examples

follow the comments please.

Answer 1

1. T distribution with n degree of freedom is T=z/squart root (x/n) does that mean n-1 degree of freedom will be T=z/squart root (x/n-1) ?

T=z/squart root (x/n) will follow n degree of freedom if the x follows chi square with n degree of freedom

where as T=z/squart root (x/n-1) will follow n -1 degree of freedom if the x follows chi square with n -1 degree of freedom

T is basically Standard normal divided by square root of a chi square divided by it's own degrees of freedom

And the T will follows the same degrees of freedom

2. what is the degrees of freedom. ?

As the name suggest it is basically the measure of how a variable free while doing the calculations

or, the number of final calculation in a statistics that are free to vary

Eg.

while calculating mean

you have say n values.

if you know any n - 1 value and the sum you can calculate the last value

So, for a given sum you have n - 1 degrees of freedom of chosing any value for initial n - 1 values, but for last value you will have to subtract the sum of all values from the sum given to obtain the last value