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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 09:15:38 +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/t1288084453a7qp9nime7smj8n.htm/, Retrieved Sun, 28 Apr 2024 13:33:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=88921, Retrieved Sun, 28 Apr 2024 13:33:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173

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] [Question 2 - Theo...] [2010-10-26 09:15:38] [e192c8164fa91adb027f71579ac0a49a] [Current]
- R  D    [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 18:03:33] [b64b273f7a25c5bb07ff2f026b8ce952]
-    D    [Testing Mean with unknown Variance - Critical Value] [Ws 4 Question 2 t...] [2011-10-25 15:19:30] [ae1339cb5a7cf28362d01e7220b4a16c]
-    D    [Testing Mean with unknown Variance - Critical Value] [Ws 4 Question 2 t...] [2011-10-25 15:21:04] [ae1339cb5a7cf28362d01e7220b4a16c]
- RM        [Testing Mean with unknown Variance - Critical Value] [Ws 4 Question 2 t...] [2011-10-25 15:21:41] [ae1339cb5a7cf28362d01e7220b4a16c]
-    D      [Testing Mean with unknown Variance - Critical Value] [WS 4 Question 2 E...] [2011-10-25 15:24:28] [ae1339cb5a7cf28362d01e7220b4a16c]
-    D      [Testing Mean with unknown Variance - Critical Value] [WS 4 Question 2 S...] [2011-10-25 15:28:46] [ae1339cb5a7cf28362d01e7220b4a16c]
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 16:20:38] [74be16979710d4c4e7c6647856088456]
- RM        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 19:38:41] [91a574755a5705cf32ceabffa6be83ea]
- RM        [Testing Mean with unknown Variance - Critical Value] [] [2011-10-25 19:39:10] [91a574755a5705cf32ceabffa6be83ea]
-    D    [Testing Mean with unknown Variance - Critical Value] [] [2011-12-19 18:31:13] [e21b9c93af4eb9605ecfaf58a559e5ab]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
0
-0,5
1
0
-0,5
-0,5
-0,5
0,5
1
-0,375
0,5
0,5
0,75
0,5
0
-0,5
-0,375
-0,5
0,5
0,25
-0,25
-0,375
0,25
-1
-0,125
-1
-0,5
0
0,125
-0,5
-1
0
0
0,125
0
-0,5
0

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88921&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88921&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88921&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Hypothesis Test about the Mean - Confidence Interval
Sample size37
Sample standard deviation0.513038518067621
Confidence0.95
Null hypothesis-0.1
Sample Mean-0.0810810810810811
2-sided Confidence Interval[ -0.252136639403827 , 0.0899744772416653 ]
Left-sided Confidence Interval[ -0.223477196825054 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0613150346628913 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 37 \tabularnewline
Sample standard deviation & 0.513038518067621 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & -0.1 \tabularnewline
Sample Mean & -0.0810810810810811 \tabularnewline
2-sided Confidence Interval & [ -0.252136639403827 , 0.0899744772416653 ] \tabularnewline
Left-sided Confidence Interval & [ -0.223477196825054 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  0.0613150346628913 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=88921&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]0.513038518067621[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]-0.1[/C][/ROW]
[ROW][C]Sample Mean[/C][C]-0.0810810810810811[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ -0.252136639403827 , 0.0899744772416653 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ -0.223477196825054 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  0.0613150346628913 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=88921&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=88921&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 deviation0.513038518067621
Confidence0.95
Null hypothesis-0.1
Sample Mean-0.0810810810810811
2-sided Confidence Interval[ -0.252136639403827 , 0.0899744772416653 ]
Left-sided Confidence Interval[ -0.223477196825054 , +inf ]
Right-sided Confidence Interval[ -inf, 0.0613150346628913 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = -0.1 ;
Parameters (R input):
par1 = 0.95 ; par2 = -0.1 ;
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')