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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesisvariance3.wasp
Title produced by softwareTesting Variance - Confidence Intervals for Sample Variance
Date of computationFri, 22 Oct 2010 14:12:22 +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/22/t1287756684kw26w258x469nfa.htm/, Retrieved Fri, 09 May 2025 11:18:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87504, Retrieved Fri, 09 May 2025 11:18:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact344

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] [Q4 I1 equals 20 male] [2010-10-22 12:41:00] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD      [Testing Mean with known Variance - Sample Size] [Sample size] [2010-10-22 13:36:15] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RM            [Testing Variance - Confidence Intervals for Sample Variance] [Variantie mannen] [2010-10-22 14:12:22] [9ea95e194e0eb2a674315798620d5bc6] [Current]
-                 [Testing Variance - Confidence Intervals for Sample Variance] [Variantie vrouwen] [2010-10-22 14:14:19] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [vraag 8 vrouwen] [2010-10-25 18:40:55] [9f32078fdcdc094ca748857d5ebdb3de]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [vraag 8 deel 2] [2010-10-25 18:40:56] [39c51da0be01189e8a44eb69e891b7a1]
-                   [Testing Variance - Confidence Intervals for Sample Variance] [] [2010-10-26 08:34:17] [dc30d19c3bc2be07fe595ad36c2cf923]
F   P                 [Testing Variance - Confidence Intervals for Sample Variance] [variance of I1 fe...] [2010-10-26 17:09:24] [b659239b537e56f17142ee5c56ad6265]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [question 8 Females] [2010-10-26 12:11:55] [945bcebba5e7ac34a41d6888338a1ba9]
-   P               [Testing Variance - Confidence Intervals for Sample Variance] [question 8 Males] [2010-10-26 12:15:28] [945bcebba5e7ac34a41d6888338a1ba9]
- RM D            [Testing Mean with unknown Variance - Critical Value] [Test treatment 1] [2010-10-22 14:33:44] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D              [Testing Mean with unknown Variance - Critical Value] [Test treatment 2] [2010-10-22 14:36:53] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-    D                [Testing Mean with unknown Variance - Critical Value] [Test treatment 3] [2010-10-22 14:39:37] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
-   P                   [Testing Mean with unknown Variance - Critical Value] [vraag 2c] [2010-10-25 21:04:28] [9f32078fdcdc094ca748857d5ebdb3de]
-   P                   [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 21:05:12] [39c51da0be01189e8a44eb69e891b7a1]
-   P                   [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:09:58] [dc30d19c3bc2be07fe595ad36c2cf923]
F                         [Testing Mean with unknown Variance - Critical Value] [Treatment 3] [2010-10-26 16:33:02] [b659239b537e56f17142ee5c56ad6265]
- R P                   [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:37:31] [3deae35ae8526e36953f595ad65f3a1f]
-                         [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.3] [2011-10-24 17:36:25] [246430c28552f7bc561843533d7ec653]
-   P                 [Testing Mean with unknown Variance - Critical Value] [vraag 2b] [2010-10-25 20:57:55] [9f32078fdcdc094ca748857d5ebdb3de]
-   P                 [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 20:58:23] [39c51da0be01189e8a44eb69e891b7a1]
- R PD                [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:07:28] [dc30d19c3bc2be07fe595ad36c2cf923]
F                       [Testing Mean with unknown Variance - Critical Value] [Treatment 2] [2010-10-26 16:31:27] [b659239b537e56f17142ee5c56ad6265]
- R P                 [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-21 09:35:50] [3deae35ae8526e36953f595ad65f3a1f]
-                       [Testing Mean with unknown Variance - Critical Value] [C4 Vr 2.2] [2011-10-24 17:35:34] [246430c28552f7bc561843533d7ec653]
-   P               [Testing Mean with unknown Variance - Critical Value] [vraag 2] [2010-10-25 20:51:22] [9f32078fdcdc094ca748857d5ebdb3de]
- R                   [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (T)] [2010-10-26 22:29:52] [74be16979710d4c4e7c6647856088456]
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (E)] [2010-10-26 22:33:37] [74be16979710d4c4e7c6647856088456]
- R  D                [Testing Mean with unknown Variance - Critical Value] [WS 4 vraag 2 (S)] [2010-10-26 22:37:56] [74be16979710d4c4e7c6647856088456]
-    D                [Testing Mean with unknown Variance - Critical Value] [treatment wwe] [2010-12-11 12:13:20] [9f32078fdcdc094ca748857d5ebdb3de]
- R  D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:37:30] [9f32078fdcdc094ca748857d5ebdb3de]
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de]
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de]
-    D                [Testing Mean with unknown Variance - Critical Value] [hypothese test: t...] [2010-12-11 12:48:50] [9f32078fdcdc094ca748857d5ebdb3de]
-   P               [Testing Mean with unknown Variance - Critical Value] [Vraag 2] [2010-10-25 20:52:00] [39c51da0be01189e8a44eb69e891b7a1]
-    D                [Testing Mean with unknown Variance - Critical Value] [Treatment WWE] [2010-12-11 12:13:21] [39c51da0be01189e8a44eb69e891b7a1]
- R  D                [Testing Mean with unknown Variance - Critical Value] [Treatment CSWE] [2010-12-11 12:38:13] [39c51da0be01189e8a44eb69e891b7a1]
- R  D                [Testing Mean with unknown Variance - Critical Value] [Treatment C] [2010-12-11 12:47:57] [39c51da0be01189e8a44eb69e891b7a1]
-   P               [Testing Mean with unknown Variance - Critical Value] [] [2010-10-26 08:03:27] [dc30d19c3bc2be07fe595ad36c2cf923]
F                     [Testing Mean with unknown Variance - Critical Value] [Treatment 1] [2010-10-26 16:27:38] [b659239b537e56f17142ee5c56ad6265]
- R P               [Testing Mean with unknown Variance - Critical Value] [Nulhypothes; geen...] [2010-10-26 10:05:38] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-    D                [Testing Mean with unknown Variance - Critical Value] [Nulhypothese geen...] [2010-10-26 10:34:36] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-    D                  [Testing Mean with unknown Variance - Critical Value] [Nulhypothese geen...] [2010-10-26 10:42:30] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-   PD                  [Testing Mean with unknown Variance - Critical Value] [Q4 WS4] [2010-10-26 11:04:56] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-    D                    [Testing Mean with unknown Variance - Critical Value] [Q5 WS4] [2010-10-26 11:10:19] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-   P                       [Testing Mean with unknown Variance - Critical Value] [Q7 WS4] [2010-10-26 11:32:44] [b84bdc9bd81e1f02ca0dcc4710c1b790]
- RM                          [Population Mean Test] [Q7 WS4] [2010-10-26 12:05:20] [b84bdc9bd81e1f02ca0dcc4710c1b790]
- RM D                          [Testing Variance - Confidence Intervals for Sample Variance] [Q8 WS4 Mannen] [2010-10-26 12:14:15] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-                                 [Testing Variance - Confidence Intervals for Sample Variance] [Q8 WS4 Vrouwen] [2010-10-26 12:16:08] [b84bdc9bd81e1f02ca0dcc4710c1b790]
- RMPD                [Testing Mean with known Variance - Sample Size] [Q9 WS4 ] [2010-10-26 13:51:17] [b84bdc9bd81e1f02ca0dcc4710c1b790]
-   P                   [Testing Mean with known Variance - Sample Size] [Q10 WS4] [2010-10-26 13:57:07] [b84bdc9bd81e1f02ca0dcc4710c1b790]

[Truncated]
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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 time0 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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87504&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87504&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87504&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 time0 seconds
R Server'George Udny Yule' @ 72.249.76.132






Testing Variance - Confidence Intervals for Sample Variance
Sample size64
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6510.829666633367315.1357650626025
Left one-sided confidence interval at 0.6511.9959997277416+inf
Right one-sided confidence interval at 0.65013.7702046568511
more information about confidence interval

\begin{tabular}{lllllllll}
\hline
Testing Variance - Confidence Intervals for Sample Variance \tabularnewline
Sample size & 64 \tabularnewline
Null hypothesis (H0) & 13 \tabularnewline
Confidence interval & 0.65 \tabularnewline
Type of Interval & Left tail & Right tail \tabularnewline
Two-sided confidence interval at  0.65 & 10.8296666333673 & 15.1357650626025 \tabularnewline
Left one-sided confidence interval at  0.65 & 11.9959997277416 & +inf \tabularnewline
Right one-sided confidence interval at  0.65 & 0 & 13.7702046568511 \tabularnewline
more information about confidence interval \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87504&T=1

[TABLE]
[ROW][C]Testing Variance - Confidence Intervals for Sample Variance[/C][/ROW]
[ROW][C]Sample size[/C][C]64[/C][/ROW]
[ROW][C]Null hypothesis (H0)[/C][C]13[/C][/ROW]
[ROW][C]Confidence interval[/C][C]0.65[/C][/ROW]
[ROW][C]Type of Interval[/C][C]Left tail[/C][C]Right tail[/C][/ROW]
[ROW][C]Two-sided confidence interval at  0.65[/C][C]10.8296666333673[/C][C]15.1357650626025[/C][/ROW]
[ROW][C]Left one-sided confidence interval at  0.65[/C][C]11.9959997277416[/C][C]+inf[/C][/ROW]
[ROW][C]Right one-sided confidence interval at  0.65[/C][C]0[/C][C]13.7702046568511[/C][/ROW]
[ROW][C]more information about confidence interval[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87504&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87504&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 - Confidence Intervals for Sample Variance
Sample size64
Null hypothesis (H0)13
Confidence interval0.65
Type of IntervalLeft tailRight tail
Two-sided confidence interval at 0.6510.829666633367315.1357650626025
Left one-sided confidence interval at 0.6511.9959997277416+inf
Right one-sided confidence interval at 0.65013.7702046568511
more information about confidence interval


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 64 ; par2 = 9 ; par3 = 0.65 ;
Parameters (R input):
par1 = 64 ; par2 = 13 ; par3 = 0.65 ;
R code (references can be found in the software module):
par1<-as.numeric(par1)
par2<-as.numeric(par2)
par3<-as.numeric(par3)
df <- par1 - 1
halfalpha <- (1 - par3) / 2
ua <- qchisq(halfalpha,df) * par2 / df
ub <- qchisq(1-halfalpha,df) * par2 / df
ua
ub
ul <- qchisq(1-par3,df) * par2 / df
ul
ur <- qchisq(par3,df) * par2 / df
ur
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,hyperlink('ht_variance.htm','Testing Variance - Confidence Intervals for Sample Variance','learn more about Statistical Hypothesis Testing about the Variance'),3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,par1,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis (H0)',header=TRUE)
a<-table.element(a,par2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence interval',header=TRUE)
a<-table.element(a,par3,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Type of Interval',header=TRUE)
a<-table.element(a,'Left tail',header=TRUE)
a<-table.element(a,'Right tail',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Two-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ua)
a<-table.element(a,ub)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Left one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,ul)
a<-table.element(a,'+inf')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste('Right one-sided confidence interval at ',par3), header=TRUE)
a<-table.element(a,'0')
a<-table.element(a,ur)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, hyperlink('ht_variance.htm#ex3', 'more information about confidence interval','example'),3,TRUE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')