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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, 23 Jan 2018 20:22:50 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Jan/23/t1516735376f3roab9z0zlo9qt.htm/, Retrieved Wed, 08 May 2024 23:26:37 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Wed, 08 May 2024 23:26:37 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
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Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Hypothesis Test about the Mean - Confidence Interval
Sample size179
Sample standard deviation1.9631915078172
Confidence0.95
Null hypothesis50
Sample Mean7.27932960893855
2-sided Confidence Interval[ 6.98976394080914 , 7.56889527706795 ]
Left-sided Confidence Interval[ 7.03670792375563 , +inf ]
Right-sided Confidence Interval[ -inf, 7.52195129412147 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 179 \tabularnewline
Sample standard deviation & 1.9631915078172 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 7.27932960893855 \tabularnewline
2-sided Confidence Interval & [ 6.98976394080914 , 7.56889527706795 ] \tabularnewline
Left-sided Confidence Interval & [ 7.03670792375563 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  7.52195129412147 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]179[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.9631915078172[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]7.27932960893855[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 6.98976394080914 , 7.56889527706795 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 7.03670792375563 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  7.52195129412147 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 size179
Sample standard deviation1.9631915078172
Confidence0.95
Null hypothesis50
Sample Mean7.27932960893855
2-sided Confidence Interval[ 6.98976394080914 , 7.56889527706795 ]
Left-sided Confidence Interval[ 7.03670792375563 , +inf ]
Right-sided Confidence Interval[ -inf, 7.52195129412147 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1111111111two.sided2211131332222212121212484848481111212FALSEFALSE12two.sidedtwo.sidedtwo.sided1two.sidedtwo.sided311FALSEFALSE1210grey111124848481111212FALSEFALSE123121248484811112FALSE12two.sidedtwo.sidedtwo.sidedtwo.sidedtwo.sided0.95 ; par2 = 22222222220.951122Do not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesInclude Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesDo not include Seasonal DummiesTripleTriple11110110.30.30.30.990.990.990,990,990.99122-0.3-0.3-0.3Do not include Seasonal Dummiesno222111011-0.3-0.311111001-0.3-0.30.990.990,990.990.9950 ; par3 = 0.950.950.95Pearson Chi-SquaredExact Pearson Chi-Squared by SimulationExact Pearson Chi-Squared by Simulation0.95TRUE3200.95TRUETRUE3No Linear TrendNo Linear TrendNo Linear TrendNo Linear TrendNo Linear TrendNo Linear TrendLinear TrendNo Linear TrendNo Linear TrendNo Linear Trendadditivemultiplicative01110011111520151515152Pearson Chi-SquaredExact Pearson Chi-Squared by Simulation000No Linear Trend330110011112011000112020202020 ; par4 = two.sidedlessgreaterTRUETRUETRUE11112120001121212111TRUE111FALSETRUE001121212111TRUE0011121211 ; par5 = unpairedunpairedunpaired121112121212121212112121212121212121212121212 ; par6 = 0.00.00.012121212121212121212White NoiseWhite NoiseWhite NoiseWhite Noise33233312White NoiseWhite NoiseWhite Noise331White NoiseWhite NoiseWhite Noise30 ; par7 = 0.950.950.950.951101100.950.950.951110.950.950.9511 ; par8 = 21022221020 ; par9 = 11111011111 ; par10 = FALSEFALSEFALSEFALSE ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
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')