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Author

*The author of this computation has been verified*

R Software Module

rwasp_hypothesisvariance2.wasp

Title produced by software

Testing Variance - p-value (probability)

Date of computation

Sun, 21 Oct 2012 08:28:42 -0400

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Oct/21/t1350822543nh3ryj28eho5cnl.htm/, Retrieved Wed, 11 Feb 2026 01:22:09 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=180864, Retrieved Wed, 11 Feb 2026 01:22:09 +0000

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No (this computation is public)

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Estimated Impact

312

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Variability] [workshop 4 taak 8 1] [2012-10-20 14:08:51] [dbae308bdff61c0f4902cc85498d0d35]
- RMPD  [Testing Variance - p-value (probability)] [Workshop 4 task 8...] [2012-10-21 12:03:19] [e31fe164d58995c48777312ee804d655]
- R P     [Testing Variance - p-value (probability)] [Workshop 4 Task 8...] [2012-10-21 12:20:40] [e31fe164d58995c48777312ee804d655]
-   P       [Testing Variance - p-value (probability)] [Workshop 4 Task 8...] [2012-10-21 12:22:59] [e31fe164d58995c48777312ee804d655]
-   P           [Testing Variance - p-value (probability)] [Workshop 4 Task 8...] [2012-10-21 12:28:42] [de03d6ba395ecb425436b99f470cccc0] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

\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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180864&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180864&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180864&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	0 seconds
R Server	'Herman Ole Andreas Wold' @ wold.wessa.net

Testing Variance - p-value (probability)
Sample size	98
Sample variance	13.0309
Null hypothesis (H0)	20
Type I error (alpha)	0.35
p-value (probability)	0.00311503116534466
Conclusion	Reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - p-value (probability) \tabularnewline
Sample size & 98 \tabularnewline
Sample variance & 13.0309 \tabularnewline
Null hypothesis (H0) & 20 \tabularnewline
Type I error (alpha) & 0.35 \tabularnewline
p-value (probability) & 0.00311503116534466 \tabularnewline
Conclusion & Reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180864&T=1

[TABLE]
[ROW][C]Testing Variance - p-value (probability)[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample variance[/C][C]13.0309[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]20[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.35[/C][/ROW]
[ROW][C]p-value (probability)[/C][C]0.00311503116534466[/C][/ROW]
[ROW][C]Conclusion[/C][C]Reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=180864&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180864&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Testing Variance - p-value (probability)
Sample size	98
Sample variance	13.0309
Null hypothesis (H0)	20
Type I error (alpha)	0.35
p-value (probability)	0.00311503116534466
Conclusion	Reject the null hypothesis

Parameters (Session):

par1 = 63 ; par2 = 13.7808 ; par3 = 13 ; par4 = 0.35 ;

Parameters (R input):

par1 = 98 ; par2 = 13.0309 ; par3 = 20 ; par4 = 0.35 ;

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')

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