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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 computationWed, 17 Dec 2008 12:51:11 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/17/t1229543499w776n4ao2p10bdn.htm/, Retrieved Fri, 17 May 2024 05:45:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=34528, Retrieved Fri, 17 May 2024 05:45:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact308

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [Correlation: inve...] [2008-12-16 19:18:46] [5161246d1ccc1b670cc664d03050f084]
- RMPD  [Univariate Data Series] [] [2008-12-17 14:56:45] [b98453cac15ba1066b407e146608df68]
- RMPD      [Testing Mean with unknown Variance - Critical Value] [] [2008-12-17 19:51:11] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.0074506557876825
-0.132442416277169
0.167508335619297
0.162179475022331
-0.146931001973622
-0.0668603738682577
-0.269529881950270
-0.501159535904405
0.0257705207115739
0.0103920112419809
-0.331297153720096
0.182851594080835
-0.0616423002040546
0.0611391202324174
0.296329447468030
0.119060175741668
0.0700576382174025
0.148255268858675
-0.371005644115859
0.0561643933314547
0.103938003871328
0.317403809539125
0.47148700869133
-0.398411446088021
-0.0432761149904893
-0.108118935756980
0.0401107485044805
0.194657389845583
0.158210139077063
-0.0990937826064845
-0.00556266803194087
0.144548748293867
0.117606815437551
-0.0757110164777423
0.197705397710686
0.43154186277326
0.0235289943338020
0.0356480768094974
0.286156406204286
0.00513379161279537
0.63893193763354
0.251390112105119
-0.00323749422575261
-0.266976252327191
0.0601251864592664
0.0250884232596969
0.0427753200608914
-0.283921635806831
0.266596524755491
-0.149765918875036
0.280920126538979
0.0236532951156516
0.156622609872607
0.31040672700784
-0.246586965870557
-0.0298393590558678
-0.249166463960415
-0.0112133689462801
-0.396395414468751
-0.451133318396317
0.105253505345444
0.402092579269608
-0.21438906878249
0.141397349553946
0.445665827381415
-0.114984764067256
-0.0727348687731968
-0.428887385112165
0.429672738628761
0.110015782612343
-0.0594175281086153
-0.231319503867720
-0.152401412327718
0.292208397539926
-0.0196616726586817
0.216316258224451
0.219252748724271
0.337295855125314
-0.106712413444743
0.465673740811403
-0.280816345253791
0.0468365870230674
0.162365651238084
-0.0663666999576886
-0.635837605985355
-0.0149943478807808
0.10104210135649
0.0980516104255642
0.132481182172313
-0.237259624681085
0.239843258350056
-0.105452963338377
-0.118119254249678
0.384026536850281
0.149193012243773
0.0179012528572979
0.0737714063911667
-0.190562367586525
0.0648156227466323
0.0831011315891885
-0.223187173116132
0.0109073057119824
-0.0509472940820421
0.166337221716903
0.123534000363326
0.0842716541850166
0.17950771880394

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34528&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34528&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34528&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Hypothesis Test about the Mean - Confidence Interval
Sample size107
Sample standard deviation0.229391880735853
Confidence0.95
Null hypothesis0
Sample Mean0.0294471716999684
2-sided Confidence Interval[ -0.0145192028437314 , 0.0734135462436682 ]
Left-sided Confidence Interval[ -0.00735095684425374 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0662453002441905 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 107 \tabularnewline
Sample standard deviation & 0.229391880735853 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & 0.0294471716999684 \tabularnewline
2-sided Confidence Interval & [ -0.0145192028437314 , 0.0734135462436682 ] \tabularnewline
Left-sided Confidence Interval & [ -0.00735095684425374 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.0662453002441905 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=34528&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]107[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]0.229391880735853[/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]0.0294471716999684[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.0145192028437314 , 0.0734135462436682 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.00735095684425374 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.0662453002441905 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=34528&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=34528&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 size107
Sample standard deviation0.229391880735853
Confidence0.95
Null hypothesis0
Sample Mean0.0294471716999684
2-sided Confidence Interval[ -0.0145192028437314 , 0.0734135462436682 ]
Left-sided Confidence Interval[ -0.00735095684425374 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0662453002441905 ]


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')