::Free Statistics and Forecasting Software::

v1.1.20
 
 

:: Testing Variance - Confidence Intervals for Sample Variance - Free Statistics Software (Calculator) ::

The non-commercial (academic) use of this software is free of charge. The only thing that is asked in return is to cite this software when results are used in publications.

This free online software (calculator) computes the confidence intervals for the one-sided and two-sided hypothesis test about the sample variance (for a given sample size, null hypothesis, and confidence interval).

Sample size 
Null Hypothesis about variance 
Confidence interval 


Cite this software as:
Wessa P., (2006), Testing Sample Variance - Confidence Intervals (v1.0.0) in Free Statistics Software (v1.1.20), Office for Research Development and Education, URL http://www.wessa.net/rwasp_hypothesisvariance3.wasp/
The R code is based on :
Xycoon, Statistics - Econometrics - Forecasting, Office for Research Development and Education, http://www.xycoon.com/ht_variance.htm#ex3
Source code of R module
1par1<-as.numeric(par1)
2par2<-as.numeric(par2)
3par3<-as.numeric(par3)
4df <- par1 - 1
5halfalpha <- (1 - par3) / 2
6ua <- qchisq(halfalpha,df) * par2 / df
7ub <- qchisq(1-halfalpha,df) * par2 / df
8ua
9ub
10ul <- qchisq(1-par3,df) * par2 / df
11ul
12ur <- qchisq(par3,df) * par2 / df
13ur
14load(file="createtable")
15a<-table.start()
16a<-table.row.start(a)
17a<-table.element(a,hyperlink("http://www.xycoon.com/ht_variance.htm","Testing Variance - Confidence Intervals for Sample Variance","learn more about Statistical Hypothesis Testing about the Variance"),3,TRUE)
18a<-table.row.end(a)
19a<-table.row.start(a)
20a<-table.element(a,"Sample size",header=TRUE)
21a<-table.element(a,par1,2)
22a<-table.row.end(a)
23a<-table.row.start(a)
24a<-table.element(a,"Null hypothesis (H0)",header=TRUE)
25a<-table.element(a,par2,2)
26a<-table.row.end(a)
27a<-table.row.start(a)
28a<-table.element(a,"Confidence interval",header=TRUE)
29a<-table.element(a,par3,2)
30a<-table.row.end(a)
31a<-table.row.start(a)
32a<-table.element(a,"Type of Interval",header=TRUE)
33a<-table.element(a,"Left tail",header=TRUE)
34a<-table.element(a,"Right tail",header=TRUE)
35a<-table.row.end(a)
36a<-table.row.start(a)
37a<-table.element(a,paste("Two-sided confidence interval at ",par3), header=TRUE)
38a<-table.element(a,ua)
39a<-table.element(a,ub)
40a<-table.row.end(a)
41a<-table.row.start(a)
42a<-table.element(a,paste("Left one-sided confidence interval at ",par3), header=TRUE)
43a<-table.element(a,ul)
44a<-table.element(a,"+inf")
45a<-table.row.end(a)
46a<-table.row.start(a)
47a<-table.element(a,paste("Right one-sided confidence interval at ",par3), header=TRUE)
48a<-table.element(a,"0")
49a<-table.element(a,ur)
50a<-table.row.end(a)
51a<-table.row.start(a)
52a<-table.element(a, hyperlink("http://www.xycoon.com/ht_variance.htm#ex3", "more information about confidence interval","example"),3,TRUE)
53a<-table.row.end(a)
54a<-table.end(a)
55table.save(a,file="mytable.tab")

To cite Wessa.net in publications use:
Wessa, P. (2014), Free Statistics Software, Office for Research Development and Education,
version 1.1.20, URL http://www.wessa.net/

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Software Version : 1.1.20
Algorithms & Software : Prof. dr. P. Wessa
Facilities : Resa R&D - Office for Research, Development, and Education
Server : www.wessa.net

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