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20050501
7-9-6
Tests
k t Test
1-Sample t Test
Command: OneSampleTTestⅪ
Description: Tests a hypothesis relative to a population mean when population standard
deviation is unknown. A 1-Sample t Test is used for t distribution.
t =
o –
0
µ
σ
x
n–1
n
o : mean of sample data
µ
0 : assumed population mean
x
σ
n-1 : sample standard deviation
n : sample size
Command Syntax
Syntax 1 (list format)
“
µ
condition”,
µ
0 value, List, Freq (or 1)
* “Freq” can be omitted. Doing so sets “1” for “Freq”.
Syntax 2 (parameter format)
“
µ
condition”,
µ
0 value, o value, x
σ
n–1 value, n value
Definition of Terms
µ
condition : population mean value test conditions (“≠” specifies two-tail test,
“<” specifies lower one-tail test, “>” specifies upper one-tail test.)
µ
0
: assumed population mean
List
: data list
Freq
: frequency (1 or list name)
o
:mean of sample data
x
σ
n-1
: sample standard deviation (x
σ
n-1 > 0)
n
: sample size (positive integer)
Input Example:
Syntax 1 (list format)
OneSampleTTest “≠”,11.3,list1,1
Syntax 2 (parameter format)
OneSampleTTest “≠”,11.3,11.52,0.62,5
Calculation Result Output
µ
≠ 11.3 : test condition
t : t value
p : p-value
o :mean of sample data
x
σ
n–1 : sample standard deviation
n : sample size