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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 08:15:08 +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/t1287821630ulhg7zk5vkp5k5w.htm/, Retrieved Sat, 04 May 2024 21:04:17 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87591, Retrieved Sat, 04 May 2024 21:04:17 +0000

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No (this computation is public)

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Estimated Impact

161

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]
F   PD      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-23 08:15:08] [9003764b6a75599accb6eea9154ba195] [Current]

Feedback Forum

2010-10-29 10:10:32 [00c625c7d009d84797af914265b614f9] [reply] 
We concluderen dat er geen behoefte is om de hypothese te berekenen voor mannen want de steekproef schatting is niet verschillend van H0. Voor vrouwen gebruiken we in de software 'Testing Variance - Critical Value' voor de eenzijdige test. Hierin zien we dat we de nulhypothese mogen verwerpen. Dus de vrouwelijk L1 variantie is significant groter dan 13. Voor de tweezijdige test gebruiken we in de software 'Testing Variance - Confidence Intervals for Population Variance'. Hier zien we dat de waarde binnen het interval [12.0111466061063,16.8327022129086] ligt. We kunnen dus concluderen dat waarde van de variantie voor L1 bij vrouwen significant groter is dan 13 maar ook niet significant verschilt van 13. 
2010-10-30 14:49:26 [] [reply] 
Uit de éénzijdige test kan je niet concluderen dat de variantie van vrouwen groter is dan de variantie van de mannen. Want als je 2 varianties van 2 steekproeven wilt vergelijken, heb je twee spreidingen nodig. Dus je moet een tweezijdige toets uitvoeren.

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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	'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87591&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87591&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87591&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	'RServer@AstonUniversity' @ vre.aston.ac.uk

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=87591&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=87591&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87591&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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