Ttest1: Difference between revisions

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===Purpose===
===Purpose===
One sample t-test.
One sample t-test.
===Synopsis===
===Synopsis===
:result = ttest1(x,''mu'',''test'')
:result = ttest1(x,''mu'',''test'')
===Description===
===Description===
Calculates a one sample t-test for sample (x).
Calculates a one sample t-test for sample (x).
====INPUTS====
====INPUTS====
* '''x''' = The name of a matrix (column vector) in which the sample data is stored.
* '''x''' = The name of a matrix (column vector) in which the sample data is stored.
* '''mu''' = scalar, the null hypthesis value for the mean {default = 0}.
* '''mu''' = scalar, the null hypthesis value for the mean {default = 0}.
* '''ttest''' = [-1,{0},1] indicates what ttest is for:
* '''ttest''' = [-1,{0},1] indicates what ttest is for:
*  '''-1''' - lower tail  H0: mean(x) <= mean(y)
*  '''-1''' - lower tail  H0: mean(x) <= mean(y)
*    '''0''' - wo-tail    H0: mean(x) \~= mean(y) {default}
*    '''0''' - wo-tail    H0: mean(x) \~= mean(y) {default}
*    '''1''' - upper tail  H0: mean(x) >= mean(y)
*    '''1''' - upper tail  H0: mean(x) >= mean(y)
====OUTPUTS====
====OUTPUTS====
The output (result) a structure with the following fields:
The output (result) a structure with the following fields:
* '''t''' = test statistic.
* '''t''' = test statistic.
* '''p''' = probability value
* '''p''' = probability value
* '''mean''' = mean of x
* '''mean''' = mean of x
* '''var''' = variance of x  
* '''var''' = variance of x  
* '''n''' =  length of x  
* '''n''' =  length of x  
* '''se''' = standard error
* '''se''' = standard error
* '''df''' = degress of freedom  
* '''df''' = degress of freedom  
* '''hyp''' =  hypothesis being tested
* '''hyp''' =  hypothesis being tested
===Examples===
===Examples===
result = ttest1(x);
result = ttest1(x);
result = ttest1(x,mu);  
result = ttest1(x,mu);  
result = ttest1(x,mu,test);
result = ttest1(x,mu,test);
===See Also===
===See Also===
[[ttest2e]], [[ttest2u]], [[ttest2p]]
[[ttest2e]], [[ttest2u]], [[ttest2p]]

Revision as of 14:27, 3 September 2008

Purpose

One sample t-test.

Synopsis

result = ttest1(x,mu,test)

Description

Calculates a one sample t-test for sample (x).

INPUTS

  • x = The name of a matrix (column vector) in which the sample data is stored.
  • mu = scalar, the null hypthesis value for the mean {default = 0}.
  • ttest = [-1,{0},1] indicates what ttest is for:
  • -1 - lower tail H0: mean(x) <= mean(y)
  • 0 - wo-tail H0: mean(x) \~= mean(y) {default}
  • 1 - upper tail H0: mean(x) >= mean(y)

OUTPUTS

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

  • t = test statistic.
  • p = probability value
  • mean = mean of x
  • var = variance of x
  • n = length of x
  • se = standard error
  • df = degress of freedom
  • hyp = hypothesis being tested

Examples

result = ttest1(x);

result = ttest1(x,mu);

result = ttest1(x,mu,test);

See Also

ttest2e, ttest2u, ttest2p