Ttest2u: Difference between revisions

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====Inputs====
====Inputs====


* '''x''' = matrix (column vector) in which the sample data is stored.
* '''x''' = matrix (or column vector) of data for the first sample.
* '''y''' = matrix (or column vector) of data for the second sample.


* '''y''' = matrix (column vector) in which the sample data is stored.
====Optional Inputs====
* '''ttest''' = [-1, {0} ,1] indicates what type of t-test to perform:
::  '''-1''': lower tail  H0: mean(x) <= mean(y),
::    ''' 0''': two-tail    H0: mean(x) ~=  mean(y) {default},
::    ''' 1''': upper tail  H0: mean(x) >= mean(y).


* '''ttest''' = [-1,{0},1] indicates what ttest is for:
* '''dfapp''' = [ {-1} , 1] governs the algorithm for calculating degrees of freedom:
::  '''-1''' - lower tail  H0: mean(x) <= mean(y)
::  '''-1''': Welch's approximate degrees of freedom {default},
::    '''0''' - wo-tail    H0: mean(x) \~= mean(y) {default}
::  ''' 1''': Satterthwaite's approximate degrees of freedom.
::    '''1''' - upper tail  H0: mean(x) >= mean(y)
 
* '''dfapp''' = [{-1}, 1] indicates which degree of freedom calculation to use.
::  '''-1''' - indicates Welch's approximate degrees of freedom {default}
::  '''1''' - indicates Satterthwaite's approximate degrees of freedom


====Outputs====
====Outputs====

Revision as of 09:36, 24 October 2013

Purpose

Two sample t-test (assuming unequal variance).

Synopsis

result = ttest2u(x,y);
result = ttest2u(x,y,test,dfapp);

Description

Calculates a two sample t-test for samples (x) and (y) assuming unequal variance.

Inputs

  • x = matrix (or column vector) of data for the first sample.
  • y = matrix (or column vector) of data for the second sample.

Optional Inputs

  • ttest = [-1, {0} ,1] indicates what type of t-test to perform:
-1: lower tail H0: mean(x) <= mean(y),
0: two-tail H0: mean(x) ~= mean(y) {default},
1: upper tail H0: mean(x) >= mean(y).
  • dfapp = [ {-1} , 1] governs the algorithm for calculating degrees of freedom:
-1: Welch's approximate degrees of freedom {default},
1: Satterthwaite's approximate degrees of freedom.

Outputs

The output (result) a structure with the following fields:

  • t = test statistic.
  • p = probability value
  • mean1 = mean of x
  • mean2 = mean of y
  • var1 = variance of x
  • var2 = variance of y
  • n1 = length of x
  • n2 = length of y
  • pse = pooled standard error
  • df = degress of freedom
  • app = 'Satterthwaite' or 'Welch'
  • hyp = hypothesis being tested

Examples

result = ttest2u(x,y);
result = ttest2u(x,y,test);
result = ttest2e(x,y,test,dfapp);

See Also

ttest1, ttest2e, ttest2p