::Free Statistics and Forecasting Software::

All rights reserved. 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 critical value (region) for the hypothesis test about the variance (for a given sample size, sample variance, and type I error).

Click here to edit the underlying code of this R Module.

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Sample size

Sample Variance

Null hypothesis

Type I error (alpha)

Click here to edit the underlying code of this R Module.

---

Source code of R module
1	par1<-as.numeric(par1)
2	par2<-as.numeric(par2)
3	par3<-as.numeric(par3)
4	par4<-as.numeric(par4)
5	df <- par1 - 1
6	if (par2 > par3)
7	{
8	myc <- par3 / df * qchisq(1-par4,df)
9	} else {
10	myc <- par3 / df * qchisq(par4,df)
11	}
12	myc
13	load(file="createtable")
14	a<-table.start()
15	a<-table.row.start(a)
16	a<-table.element(a,hyperlink("http://www.xycoon.com/ht_variance.htm","Testing Variance - Critical value (region)","learn more about Statistical Hypothesis Testing about the Variance"),2,TRUE)
17	a<-table.row.end(a)
18	a<-table.row.start(a)
19	a<-table.element(a,"Sample size",header=TRUE)
20	a<-table.element(a,par1)
21	a<-table.row.end(a)
22	a<-table.row.start(a)
23	a<-table.element(a,"Sample variance",header=TRUE)
24	a<-table.element(a,par2)
25	a<-table.row.end(a)
26	a<-table.row.start(a)
27	a<-table.element(a,"Null hypothesis (H0)",header=TRUE)
28	a<-table.element(a,par3)
29	a<-table.row.end(a)
30	a<-table.row.start(a)
31	a<-table.element(a,"Type I error (alpha)",header=TRUE)
32	a<-table.element(a,par4)
33	a<-table.row.end(a)
34	a<-table.row.start(a)
35	a<-table.element(a,"Critical value",header=TRUE)
36	a<-table.element(a,myc)
37	a<-table.row.end(a)
38	a<-table.row.start(a)
39	a<-table.element(a,"Conclusion",header=TRUE)
40	if (par2 > par3)
41	{
42	if (par2 < myc) a<-table.element(a,"There is no reason to reject the null hypothesis") else a<-table.element(a,"Reject the null hypothesis")
43	} else {
44	if (par2 > myc) a<-table.element(a,"There is no reason to reject the null hypothesis") else a<-table.element(a,"Reject the null hypothesis")
45	}
46	a<-table.row.end(a)
47	a<-table.end(a)
48	table.save(a,file="mytable.tab")

Cite this software as:

Wessa P., (2008), Testing Variance - Critical Value (v1.0.2) in Free Statistics Software (v1.1.23-r6), Office for Research Development and Education, URL http://www.wessa.net/rwasp_hypothesisvariance1.wasp/

The R code is based on :

Xycoon, Statistics - Econometrics - Forecasting, Office for Research Development and Education, http://www.xycoon.com/ht_variance.htm#ex1

To cite Wessa.net in publications use:
Wessa, P. (2010), Free Statistics Software, Office for Research Development and Education,
version 1.1.23-r6, URL http://www.wessa.net/

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Software Version : 1.1.23-r6
Algorithms & Software : Prof. dr. P. Wessa
Facilities : Resa R&D - Office for Research, Development, and Education
Server : www.wessa.net

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