Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

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

Fri, 19 Oct 2012 08:59:58 -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/19/t1350651611pef70obuhwdos0h.htm/, Retrieved Thu, 12 Feb 2026 03:54:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=180123, Retrieved Thu, 12 Feb 2026 03:54:15 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

323

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] [Q1 - A] [2012-10-19 10:57:04] [f4f48270c576c45d216b84daa061a85b]
- RMP   [One Sample Tests about the Mean] [Q2-A] [2012-10-19 11:09:59] [f4f48270c576c45d216b84daa061a85b]
-   PD    [One Sample Tests about the Mean] [Q3-A] [2012-10-19 11:55:37] [f4f48270c576c45d216b84daa061a85b]
- R  D      [One Sample Tests about the Mean] [Q3-B] [2012-10-19 11:59:28] [f4f48270c576c45d216b84daa061a85b]
- R PD        [One Sample Tests about the Mean] [Q6-B] [2012-10-19 12:22:08] [f4f48270c576c45d216b84daa061a85b]
- RMPD            [Testing Variance - p-value (probability)] [Q8-A] [2012-10-19 12:59:58] [78cbff3691fb0cc454e192ff02249329] [Current]
- R                 [Testing Variance - p-value (probability)] [Q8] [2012-10-19 13:21:24] [f4f48270c576c45d216b84daa061a85b] 

Feedback Forum

Post a new message

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=180123&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=180123&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180123&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	21
Sample variance	13.0309
Null hypothesis (H0)	13
Type I error (alpha)	0.35
p-value (probability)	0.454959501699893
Conclusion	There is no reason to reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - p-value (probability) \tabularnewline
Sample size & 21 \tabularnewline
Sample variance & 13.0309 \tabularnewline
Null hypothesis (H0) & 13 \tabularnewline
Type I error (alpha) & 0.35 \tabularnewline
p-value (probability) & 0.454959501699893 \tabularnewline
Conclusion & There is no reason to reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=180123&T=1

[TABLE]
[ROW][C]Testing Variance - p-value (probability)[/C][/ROW]
[ROW][C]Sample size[/C][C]21[/C][/ROW]
[ROW][C]Sample variance[/C][C]13.0309[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]13[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.35[/C][/ROW]
[ROW][C]p-value (probability)[/C][C]0.454959501699893[/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=180123&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=180123&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	21
Sample variance	13.0309
Null hypothesis (H0)	13
Type I error (alpha)	0.35
p-value (probability)	0.454959501699893
Conclusion	There is no reason to reject the null hypothesis

Parameters (Session):

Parameters (R input):

par1 = 21 ; par2 = 13.0309 ; par3 = 13 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code