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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance2.wasp
Title produced by softwareTesting Variance - p-value (probability)
Date of computationTue, 11 Nov 2008 09:43:10 -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/Nov/11/t12264218981t1uba6mdwubq73.htm/, Retrieved Tue, 28 Oct 2025 16:52:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=23710, Retrieved Tue, 28 Oct 2025 16:52:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact269

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Box-Cox Linearity Plot] [Q3] [2008-11-11 16:15:27] [299afd6311e4c20059ea2f05c8dd029d]
F    D  [Box-Cox Linearity Plot] [Q4] [2008-11-11 16:18:23] [299afd6311e4c20059ea2f05c8dd029d]
- RMPD      [Testing Variance - p-value (probability)] [Q2] [2008-11-11 16:43:10] [5e2b1e7aa808f9f0d23fd35605d4968f] [Current]
- RM          [Testing Mean with known Variance - Critical Value] [Q4] [2008-11-11 17:11:47] [299afd6311e4c20059ea2f05c8dd029d]
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Dataset

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23710&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23710&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23710&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'Gwilym Jenkins' @ 72.249.127.135






Testing Variance - p-value (probability)
Sample size27
Sample variance0.1546
Null hypothesis (H0)0.15
Type I error (alpha)0.05
p-value (probability)0.420019862725882
ConclusionThere is no reason to reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - p-value (probability) \tabularnewline
Sample size & 27 \tabularnewline
Sample variance & 0.1546 \tabularnewline
Null hypothesis (H0) & 0.15 \tabularnewline
Type I error (alpha) & 0.05 \tabularnewline
p-value (probability) & 0.420019862725882 \tabularnewline
Conclusion & There is no reason to reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=23710&T=1

[TABLE]
[ROW][C]Testing Variance - p-value (probability)[/C][/ROW]
[ROW][C]Sample size[/C][C]27[/C][/ROW]
[ROW][C]Sample variance[/C][C]0.1546[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]0.15[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.05[/C][/ROW]
[ROW][C]p-value (probability)[/C][C]0.420019862725882[/C][/ROW]
[ROW][C]Conclusion[/C][C]There is no reason to reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=23710&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=23710&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:

Testing Variance - p-value (probability)
Sample size27
Sample variance0.1546
Null hypothesis (H0)0.15
Type I error (alpha)0.05
p-value (probability)0.420019862725882
ConclusionThere is no reason to reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 8 ; par2 = 0 ;
Parameters (R input):
par1 = 27 ; par2 = 0.1546 ; par3 = 0.15 ; par4 = 0.05 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
par4<-as.numeric(par4)
df <- par1 - 1
myc <- df * par2 / par3
myc
if (par2 > par3)
{
myp <- 1 - pchisq(myc,df)
} else {
myp <- pchisq(myc,df)
}
myp
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - p-value (probability)','learn more about Statistical Hypothesis Testing about the Variance'),2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample variance',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis (H0)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type I error (alpha)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (probability)',header=TRUE)
a<-table.element(a,myp)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Conclusion',header=TRUE)
if (myp > par4) a<-table.element(a,'There is no reason to reject the null hypothesis') else a<-table.element(a,'Reject the null hypothesis')
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')