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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 26 Oct 2010 14:15:21 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t1288102455r3cslq7xe1deca0.htm/, Retrieved Mon, 06 May 2024 06:04:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89187, Retrieved Mon, 06 May 2024 06:04:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact136

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Maximum-likelihood Fitting - Normal Distribution] [Intrinsic Motivat...] [2010-10-12 11:57:21] [b98453cac15ba1066b407e146608df68]
-   PD  [Maximum-likelihood Fitting - Normal Distribution] [WS3 - Intr2 fitdi...] [2010-10-17 20:45:33] [b11c112f8986de933f8b95cd30e75cc2]
F RMPD    [Testing Mean with unknown Variance - Critical Value] [WS4 - Question 2] [2010-10-24 13:36:22] [b11c112f8986de933f8b95cd30e75cc2]
-    D      [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 15:15:58] [ed939ef6f97e5f2afb6796311d9e7a5f]
-             [Testing Mean with unknown Variance - Critical Value] [W4] [2010-10-26 08:27:22] [5ddc7dfb25e070b079c4c8fcccc4d42e]
F    D            [Testing Mean with unknown Variance - Critical Value] [ws4q2h1] [2010-10-26 14:15:21] [5f761c4a622da19727fd2adf71158b48] [Current]
Feedback Forum
2010-10-31 09:33:06 [48eb36e2c01435ad7e4ea7854a9d98fe] [reply] 
Aangezien het voor mij als reviewer niet helemaal duidelijk is waarop de student zich gebaseerd heeft om de nulhypothese te aanvaarden, zou ik willen stellen dat indien ik de berekende gegevens bekijk, ik niet zomaar zou stellen dat we de nulhypothese kunnen aanvaarden. Dit omdat de nulhypothese - 0- niet gelegen is in het betrouwbaarheidsinterval. Dit betekent dus eigenlijk dat we de nulhypothese zullen verwerpen.

De student heeft hier wel gebruik gemaakt van de correcte softwaremodule.

2010-11-01 11:12:59 [201022de16daa1dc0c172603d7d3cd57] [reply] 
De student had wel wat meer informatie mogen verschaffen waarover deze berekening gaat. Uit zijn conclusie leid ik af dat het gaat om treatment T. Welke kolom van gegevens hij hier heeft gebruikt blijft onduidelijk. De conclusie die hij trekt is ook verkeerd. We moeten de nulhypothese hier wel verwerpen want deze valt niet binnen het betrouwbaarheidsinterval.

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Dataset

Dataseries X:
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Histogram
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Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89187&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89187&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89187&T=0

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size37
Sample standard deviation0.483977514182461
Confidence0.95
Null hypothesis0
Sample Mean0.648648648648649
2-sided Confidence Interval[ 0.487282511431591 , 0.810014785865706 ]
Left-sided Confidence Interval[ 0.514318543403174 , +inf ]
Right-sided Confidence Interval[ -inf, 0.782978753894123 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.483977514182461 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.648648648648649 \tabularnewline
2-sided Confidence Interval & [ 0.487282511431591 , 0.810014785865706 ] \tabularnewline
Left-sided Confidence Interval & [ 0.514318543403174 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.782978753894123 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89187&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]37[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.483977514182461[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]0[/C][/ROW]
[ROW][C]Sample Mean[/C][C]0.648648648648649[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 0.487282511431591 , 0.810014785865706 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 0.514318543403174 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.782978753894123 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89187&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89187&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Hypothesis Test about the Mean - Confidence Interval
Sample size37
Sample standard deviation0.483977514182461
Confidence0.95
Null hypothesis0
Sample Mean0.648648648648649
2-sided Confidence Interval[ 0.487282511431591 , 0.810014785865706 ]
Left-sided Confidence Interval[ 0.514318543403174 , +inf ]
Right-sided Confidence Interval[ -inf, 0.782978753894123 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 0 ;
Parameters (R input):
par1 = 0.95 ; 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')