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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance1.wasp
Title produced by softwareTesting Variance - Critical Value (Region)
Date of computationTue, 26 Oct 2010 12:36:15 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/26/t12880965255i1uu0liotdd0kg.htm/, Retrieved Sat, 27 Apr 2024 13:43:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89082, Retrieved Sat, 27 Apr 2024 13:43:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact124

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2010-10-24 10:53:30] [22937c5b58c14f6c22964f32d64ff823]
F RMPD        [Testing Variance - Critical Value (Region)] [] [2010-10-26 12:36:15] [5f45e5b827d1a020c3ecc9d930121b4e] [Current]
Feedback Forum
2010-10-29 14:07:45 [7d66e2e510b144c68ca0882fd178e17c] [reply] 
Ook hier heb je de juiste calculator gebruikt maar weer de verkeerde nulhypothese ingevuld (20 -> 13).
bij de vrouwen is de sample variance 14 en de kritieke waarde is 13,775. http://www.freestatistics.org/blog/index.php?v=date/2010/Oct/29/t1288352046lhrp40c1xkyq3sf.htm/

We zien dan ook dat de steekproef variantie (14) significant groter is dan de nulhypothese (13). De volgende stap die we zouden moeten doen is een links-eenzijdige test berekenen omdat 14 groter is dan 13. Maar we gaan kijken naar de tweezijdige test op basis van de populatie variantie en op basis van de steekproef variantie:

http://www.freestatistics.org/blog/index.php?v=date/2010/Oct/29/t1288352091bmzukbkyucjsl10.htm/
http://www.freestatistics.org/blog/index.php?v=date/2010/Oct/29/t128835214006wh1bwptwncjwc.htm/

Omdat 13 in de intervals valt zouden we zeggen dat de variantie niet significant verschillend is van 13 maar omdat de steekproef variantie (14) groter is dan 13 zeggen we dat de variantie van de vrouwen significant groter is dan 13.

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Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89082&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89082&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89082&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 time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Testing Variance - Critical value (region)
Sample size63
Sample variance13
Null hypothesis (H0)20
Type I error (alpha)0.35
Critical value18.4416628480944
ConclusionReject the null hypothesis

\begin{tabular}{lllllllll}
\hline
Testing Variance - Critical value (region) \tabularnewline
Sample size & 63 \tabularnewline
Sample variance & 13 \tabularnewline
Null hypothesis (H0) & 20 \tabularnewline
Type I error (alpha) & 0.35 \tabularnewline
Critical value & 18.4416628480944 \tabularnewline
Conclusion & Reject the null hypothesis \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89082&T=1

[TABLE]
[ROW][C]Testing Variance - Critical value (region)[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample variance[/C][C]13[/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]Critical value[/C][C]18.4416628480944[/C][/ROW]
[ROW][C]Conclusion[/C][C]Reject the null hypothesis[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89082&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89082&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 size63
Sample variance13
Null hypothesis (H0)20
Type I error (alpha)0.35
Critical value18.4416628480944
ConclusionReject the null hypothesis


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 63 ; par2 = 13 ; 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
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')