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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_hypothesisvariance1.wasp
Title produced by softwareTesting Variance - Critical Value (Region)
Date of computationWed, 05 Nov 2008 09:01:21 -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/05/t1225901140v5js2hoqdo38nwq.htm/, Retrieved Thu, 16 May 2024 03:01:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=21822, Retrieved Thu, 16 May 2024 03:01:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact189

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Variance - Critical Value (Region)] [crit value] [2007-11-12 10:20:05] [707caee747ef4de21385d065f80305f0]
F R       [Testing Variance - Critical Value (Region)] [Part 1 - Q1: Crit...] [2008-11-05 16:01:21] [46e0445318a71ab85f6f82e54c656dac] [Current]
F RM        [Testing Variance - p-value (probability)] [Part 1 - Q2 - P-v...] [2008-11-05 16:19:13] [495cd80c1a9baafb03c09cd9ab8d8fb5]
Feedback Forum
2008-11-16 16:02:43 [Astrid Sniekers] [reply] 
2008-11-16 16:03:16 [Astrid Sniekers] [reply] 
Q1:

Het klopt dat we de nulhypothese niet gaan verwerpen, maar dit is echter geen antwoord op de vraag. De kader die de student gebruikt is juist, maar bij het oplossen van deze vraag kon hij ook gebruik maken van nog andere bijkomende kaders.

Het juiste antwoord is:
No:

• Sample variance (=4.2) > critical value (=4.19)
• P-value (0.05229) > type I error (=0.05)
• Sample variance (=4.2) is contained in the left-sided 95% confidence interval = [4.19 , +inf]

Post a new message

Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21822&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=21822&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21822&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Testing Variance - Critical value (region)
Sample size320
Sample variance4.2
Null hypothesis (H0)4.8
Type I error (alpha)0.05
Critical value4.19241479848094
ConclusionThere is no reason to reject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - Critical value (region) \tabularnewline
Sample size & 320 \tabularnewline
Sample variance & 4.2 \tabularnewline
Null hypothesis (H0) & 4.8 \tabularnewline
Type I error (alpha) & 0.05 \tabularnewline
Critical value & 4.19241479848094 \tabularnewline
Conclusion & There is no reason to reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=21822&T=1

[TABLE]
[ROW][C]Testing Variance - Critical value (region)[/C][/ROW]
[ROW][C]Sample size[/C][C]320[/C][/ROW]
[ROW][C]Sample variance[/C][C]4.2[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]4.8[/C][/ROW]
[ROW][C]Type I error (alpha)[/C][C]0.05[/C][/ROW]
[ROW][C]Critical value[/C][C]4.19241479848094[/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=21822&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=21822&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 - Critical value (region)
Sample size320
Sample variance4.2
Null hypothesis (H0)4.8
Type I error (alpha)0.05
Critical value4.19241479848094
ConclusionThere is no reason to reject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 320 ; par2 = 4.2 ; par3 = 4.8 ; par4 = 0.05 ;
Parameters (R input):
par1 = 320 ; par2 = 4.2 ; par3 = 4.8 ; 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
if (par2 > par3)
{
myc <- par3 / df * qchisq(1-par4,df)
} else {
myc <- par3 / df * qchisq(par4,df)
}
myc
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Critical value (region)','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,'Critical value',header=TRUE)
a<-table.element(a,myc)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Conclusion',header=TRUE)
if (par2 > par3)
{
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')
} else {
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')
}
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')