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R Software Module

rwasp_hypothesismeanu.wasp

Title produced by software

Testing Mean with unknown Variance - Critical Value

Date of computation

Thu, 17 Dec 2009 22:21:25 +0100

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/2009/Dec/17/t1261084905si93n8c78ckfrhb.htm/, Retrieved Tue, 30 Apr 2024 06:06:13 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69118, Retrieved Tue, 30 Apr 2024 06:06:13 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

188

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

-     [Univariate Data Series] [] [2009-12-17 19:09:08] [b98453cac15ba1066b407e146608df68]
- RMPD    [Testing Mean with unknown Variance - Critical Value] [] [2009-12-17 21:21:25] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]

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-0.0243384070148590
0.0158952358252125
-0.0260722519603377
0.00884040098416066
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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=69118&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=69118&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69118&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	174
Sample standard deviation	0.0340139574155589
Confidence	0.75
Null hypothesis	0
Sample Mean	-0.000693034527680564
2-sided Confidence Interval	[ -0.00366930859812291 , 0.00228323954276178 ]
Left-sided Confidence Interval	[ -0.00243593163596933 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.0010498625806082 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 174 \tabularnewline
Sample standard deviation & 0.0340139574155589 \tabularnewline
Confidence & 0.75 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -0.000693034527680564 \tabularnewline
2-sided Confidence Interval & [ -0.00366930859812291 , 0.00228323954276178 ] \tabularnewline
Left-sided Confidence Interval & [ -0.00243593163596933 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.0010498625806082 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69118&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]174[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.0340139574155589[/C][/ROW]
[ROW][C]Confidence[/C][C]0.75[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]-0.000693034527680564[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.00366930859812291 , 0.00228323954276178 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.00243593163596933 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.0010498625806082 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69118&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69118&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	174
Sample standard deviation	0.0340139574155589
Confidence	0.75
Null hypothesis	0
Sample Mean	-0.000693034527680564
2-sided Confidence Interval	[ -0.00366930859812291 , 0.00228323954276178 ]
Left-sided Confidence Interval	[ -0.00243593163596933 , +inf ]
Right-sided Confidence Interval	[ -inf, 0.0010498625806082 ]

Parameters (Session):

par1 = FALSE ; par2 = 0.0 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 0 ; par8 = 2 ; par9 = 1 ;

Parameters (R input):

par1 = 0.75 ; par2 = 0 ;

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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Input Parameters & R Code