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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationTue, 18 Dec 2007 09:55:44 -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/2007/Dec/18/t1197995940q8pv21reydr8025.htm/, Retrieved Sat, 04 May 2024 15:17:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=4551, Retrieved Sat, 04 May 2024 15:17:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact207

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Testing Mean with unknown Variance - Critical Value] [paper-testing mea...] [2007-12-18 16:55:44] [5b9249e3962a4d9b95a2c513d8084bf7] [Current]
-   PD    [Testing Mean with unknown Variance - Critical Value] [paper-testing mea...] [2008-12-27 12:58:11] [1aad2bd7746abaf3ab17fe0d80878872]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0.084299365852926 
-15.5692124815993 
-6.9953619930182 
-2.07575919037298 
6.06472185178652 
3.10063183929146 
-7.27872604143293 
11.9305592423578 
-15.1800926797913 
-4.96965957564265 
-3.06184332688462 
5.17876413221274 
-2.29638814463019 
-1.85853257792512 
-8.74637895628288 
-8.02346934029272 
4.80319999595127 
3.90173526693944 
-11.3069080265042 
4.26225040152088 
-6.88628010104842 
4.12797896412461 
4.24824928932737 
-5.91811547446539 
-2.62127541719435 
-5.11947651478644 
-6.19169292552164 
1.57682830128841 
6.93381888926023 
1.30435330636300 
0.701451547474772 
18.1487693268603 
-13.6251962127511 
-8.9684198944174 
-3.48024416476534 
0.133268755660886 
0.156896176204026 
-1.28412130463800 
-8.4586972345603 
-2.91518278408049 
0.150465578819962 
3.86877987666889 
7.70993797103159 
-4.11650976301151 
-2.74475852656699 
3.19286810860467 
-6.2212027713738 
1.25489355791219 
4.23585013027417 
0.153440583363572 
-2.05719003274709 
2.14422869581576 
-1.68156215590428 
5.0318450949173 
2.24823311061623 
-6.58372573676435 
-2.85420176875137 
5.0379752614482 
4.43711208741108 
-0.675511401722624 
-2.50684702275299 
2.35909448398834 
-6.31849429304567 
-3.81949862816358 
2.17307118170725 
4.13663986179168 
-6.96229654560136 
5.28008601863276 
4.2774558989149

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4551&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4551&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4551&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Hypothesis Test about the Mean - Confidence Interval
Sample size69
Sample standard deviation6.08951149043163
Confidence0.95
Null hypothesis0
Sample Mean-0.942363461661107
2-sided Confidence Interval[ -2.40522384721282 , 0.520496923890603 ]
Left-sided Confidence Interval[ -2.16484575201361 , +inf ]
Right-sided Confidence Interval[ -inf, 0.280118828691395 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 69 \tabularnewline
Sample standard deviation & 6.08951149043163 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 0 \tabularnewline
Sample Mean & -0.942363461661107 \tabularnewline
2-sided Confidence Interval & [ -2.40522384721282 , 0.520496923890603 ] \tabularnewline
Left-sided Confidence Interval & [ -2.16484575201361 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.280118828691395 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=4551&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]69[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]6.08951149043163[/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]-0.942363461661107[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -2.40522384721282 , 0.520496923890603 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -2.16484575201361 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.280118828691395 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=4551&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=4551&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 size69
Sample standard deviation6.08951149043163
Confidence0.95
Null hypothesis0
Sample Mean-0.942363461661107
2-sided Confidence Interval[ -2.40522384721282 , 0.520496923890603 ]
Left-sided Confidence Interval[ -2.16484575201361 , +inf ]
Right-sided Confidence Interval[ -inf, 0.280118828691395 ]


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')