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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Sat, 23 Oct 2010 09:50:46 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/23/t1287827438t8es5mcstkwyequ.htm/, Retrieved Sun, 05 May 2024 05:16:27 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87615, Retrieved Sun, 05 May 2024 05:16:27 +0000

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No (this computation is public)

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Estimated Impact

143

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [workshop 4 - ques...] [2010-10-23 09:47:12] [ec7b4b7cc1a30b20be5ec01cdf2adbbd]
F    D        [Testing Mean with unknown Variance - Critical Value] [workshop 4 - ques...] [2010-10-23 09:50:46] [6ea41cf020a5319fc3c331a4158019e5] [Current]

Feedback Forum

2010-11-02 11:52:38 [f0479c8ad85b1406c7a3120008048c58] [reply] 
We maken gebruik van  een eenzijdige test: 
 
De berekening voor mannen is onbelangrijk, omdat H0 = steekproefvariantie. We concluderen dat er geen behoefte is om de hypothese te berekenen voor mannen (de steekproef schatting is niet verschillend van H0). 
De berekening voor vrouwen blijkt dat de kritische waarde 13.775 is. We concluderen dat de vrouwelijke  I1 variantie aanzienlijk groter is dan 13 (bij de 35% type I error level) Let op: dit betekent niet noodzakelijkerwijs dat de variantie groter is de I1 variantie van mannen.  
http://www.freestatistics.org/blog/date/2010/Oct/25/t1288043532phj41g2mwbpfvum.htm/ 
 
We maken gebruik van  een tweezijdige test: 
 
De vrouwelijke I1 variantie os niet significant verschillend van 13, maar het is 
wel aanzienlijk groter dan 13. 
http://www.freestatistics.org/blog/date/2010/Oct/25/t1288043645wt7valwo96c7ppn.htm/ 
http://www.freestatistics.org/blog/date/2010/Oct/25/t1288043889djfatwi1jb1runt.htm/ 
2010-11-03 14:09:03 [Niels Baert] [reply] 
Deze taak is op te lossen op 2 manieren. Ofwel met de 'Testing Variance - Critical Value' test of anders met de 'Testing Variance - Confidence Intervals For Sample Variance' test. Beide tests komen tot hetzelfde besluit dat bij de vrouwen de variantie niet significant verschillend is van 13 maar wel significant groter is dan 13.

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values. \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87615&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87615&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87615&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message	Warning: there are blank lines in the 'Data' field. Please, use NA for missing data - blank lines are simply deleted and are NOT treated as missing values.

Hypothesis Test about the Mean - Confidence Interval
Sample size	63
Sample standard deviation	3.71225672258781
Confidence	0.65
Null hypothesis	13
Sample Mean	21.1587301587302
2-sided Confidence Interval	[ 20.7182956568817 , 21.5991646605786 ]
Left-sided Confidence Interval	[ 20.9776784112443 , +inf ]
Right-sided Confidence Interval	[ -inf, 21.339781906216 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.65 \tabularnewline
Null hypothesis & 13 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.7182956568817 , 21.5991646605786 ] \tabularnewline
Left-sided Confidence Interval & [ 20.9776784112443 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.339781906216 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87615&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/C][/ROW]
[ROW][C]Confidence[/C][C]0.65[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]13[/C][/ROW]
[ROW][C]Sample Mean[/C][C]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.7182956568817 , 21.5991646605786 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.9776784112443 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.339781906216 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87615&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87615&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size	63
Sample standard deviation	3.71225672258781
Confidence	0.65
Null hypothesis	13
Sample Mean	21.1587301587302
2-sided Confidence Interval	[ 20.7182956568817 , 21.5991646605786 ]
Left-sided Confidence Interval	[ 20.9776784112443 , +inf ]
Right-sided Confidence Interval	[ -inf, 21.339781906216 ]

Parameters (Session):

par1 = 0.65 ; par2 = 13 ;

Parameters (R input):

par1 = 0.65 ; par2 = 13 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample Mean',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

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