Difference between revisions of "TTest Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|statistics}}
 
{{command|statistics}}
;TTest[<List of Sample Data>,<Hypothesized Mean>,<Tail>]
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;TTest[ <List of Sample Data>, <Hypothesized Mean>, <Tail> ]
: Performs a one sample T test of a population mean using the given list of sample data.  ''Hypothesized Mean'' is the population mean assumed in the null hypothesis. ''Tail'' has possible values "<", ">" , "≠".  These specify the alternative hypothesis as follows.
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: Performs a one sample t-test of a population mean using the given list of sample data.  ''Hypothesized Mean'' is the population mean assumed in the null hypothesis. ''Tail'' has possible values "<", ">" , "≠".  These specify the alternative hypothesis as follows.
 
::  "<"  =  population mean < ''Hypothesized Mean''
 
::  "<"  =  population mean < ''Hypothesized Mean''
 
::  ">"  =  population mean > ''Hypothesized Mean''
 
::  ">"  =  population mean > ''Hypothesized Mean''
 
::  "≠"  =  population mean  ≠ ''Hypothesized Mean''
 
::  "≠"  =  population mean  ≠ ''Hypothesized Mean''
 
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: Results are returned in list form as ''{Probability value, t-test statistic}''.
: Results are returned in list form as {Probability value, T test statistic}.
+
:{{example|1=<div><code><nowiki>TTest[{1, 2, 3, 4, 5}, 3, "<"]</nowiki></code> yields ''{0.5, 0}''.</div>}}
 
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;TTest[ <Sample Mean>, <Sample Standard Deviation>, <Sample Size>, <Hypothesized Mean>, <Tail> ]
;TTest[<Sample Mean>,<Sample Standard Deviation>,<Sample Size>,<Hypothesized Mean>,<Tail>]
+
: Performs a one sample t-test of a population mean using the given sample statistics. ''Hypothesized Mean'' and ''Tail'' are defined as above.  Results are returned in list form as ''{Probability value, t-test statistic}''.
: Performs a one sample T test of a population mean using the given sample statistics. ''Hypothesized Mean'' and ''Tail'' are defined as above.  Results are returned in list form as {Probability value, T test statistic}.
+
:{{example|1=<div><code><nowiki>TTest[4, 1, 12, 4, "≠"]</nowiki></code> yields ''{1, 0}''.</div>}}

Revision as of 09:06, 26 August 2013



TTest[ <List of Sample Data>, <Hypothesized Mean>, <Tail> ]
Performs a one sample t-test of a population mean using the given list of sample data. Hypothesized Mean is the population mean assumed in the null hypothesis. Tail has possible values "<", ">" , "≠". These specify the alternative hypothesis as follows.
"<" = population mean < Hypothesized Mean
">" = population mean > Hypothesized Mean
"≠" = population mean ≠ Hypothesized Mean
Results are returned in list form as {Probability value, t-test statistic}.
Example:
TTest[{1, 2, 3, 4, 5}, 3, "<"] yields {0.5, 0}.
TTest[ <Sample Mean>, <Sample Standard Deviation>, <Sample Size>, <Hypothesized Mean>, <Tail> ]
Performs a one sample t-test of a population mean using the given sample statistics. Hypothesized Mean and Tail are defined as above. Results are returned in list form as {Probability value, t-test statistic}.
Example:
TTest[4, 1, 12, 4, "≠"] yields {1, 0}.
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