FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationThu, 11 Nov 2010 16:14:49 +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/Nov/11/t12894920385vwrlttiu0p592h.htm/, Retrieved Thu, 25 Apr 2024 11:00:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=93525, Retrieved Thu, 25 Apr 2024 11:00:03 +0000
QR Codes:

Original text written by user:Question 4
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact213

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]
F R PD      [Testing Mean with unknown Variance - Critical Value] [Hypothesis Testing] [2010-11-11 16:14:49] [25b2a837ac14189684edc0746bbb952e] [Current]
F    D        [Testing Mean with unknown Variance - Critical Value] [Hypothesis Testing] [2010-11-11 16:28:59] [ed447cc2ebcc70947ad11d93fa385845]
F RMPD        [Testing Mean with known Variance - Sample Size] [Hypothesis Testing] [2010-11-11 17:09:35] [ed447cc2ebcc70947ad11d93fa385845]
F               [Testing Mean with known Variance - Sample Size] [Hypothesis Testing] [2010-11-11 17:12:56] [ed447cc2ebcc70947ad11d93fa385845]
F RM            [Minimum Sample Size - Testing Mean] [Hypothesis Testing] [2010-11-11 17:17:38] [ed447cc2ebcc70947ad11d93fa385845]
-   P             [Minimum Sample Size - Testing Mean] [Workshop 4 - Task 11] [2011-10-20 14:59:42] [3deae35ae8526e36953f595ad65f3a1f]
- R P               [Minimum Sample Size - Testing Mean] [C4 Vr 11c] [2011-10-24 17:23:34] [246430c28552f7bc561843533d7ec653]
- RMP             [Testing Mean with known Variance - Sample Size] [Workshop 4 - Task 10] [2011-10-20 15:04:57] [3deae35ae8526e36953f595ad65f3a1f]
- R P               [Testing Mean with known Variance - Sample Size] [C4 vr 9] [2011-10-24 17:12:18] [246430c28552f7bc561843533d7ec653]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-20 15:20:51] [3deae35ae8526e36953f595ad65f3a1f]
- R P               [Testing Mean with unknown Variance - Critical Value] [C4 Vr 8a] [2011-10-24 17:01:14] [246430c28552f7bc561843533d7ec653]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 4 - Task...] [2011-10-20 15:21:53] [3deae35ae8526e36953f595ad65f3a1f]
- R P               [Testing Mean with unknown Variance - Critical Value] [C4 Vr 8b] [2011-10-24 17:03:25] [246430c28552f7bc561843533d7ec653]
Feedback Forum
2010-11-14 13:47:46 [Michaël Delbaere] [reply] 
De nulhypothese (=20) ligt in het 95% betrouwbaarheidsinterval. De nulhypothese wordt dus aanvaard. De mannelijke I1 score is dus niet significant verschillend van 20.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
20
19
20
25
22
26
22
19
24
26
13
22
21
7
17
25
25
19
23
22
21
18
22
18
23
20
15
21
18
19
22
16
18
20
24
24
18
21
17
22
16
21
24
24
16
16
18
20
24
17
19
20
15
22
23
16
19
19
21
24
22
18
24
24
22
23
22
20
18
25
16
20
15
19
19
16
17
28
25
20
16
21
21
23
18
20
9
25
20
21
22
27
18
16
22
20
20

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93525&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93525&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93525&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.59997428515490
Confidence0.95
Null hypothesis20
Sample Mean20.2653061224490
2-sided Confidence Interval[ 19.5435569343791 , 20.9870553105188 ]
Left-sided Confidence Interval[ 19.6613834041986 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8692288406993 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 98 \tabularnewline
Sample standard deviation & 3.59997428515490 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 20.2653061224490 \tabularnewline
2-sided Confidence Interval & [ 19.5435569343791 , 20.9870553105188 ] \tabularnewline
Left-sided Confidence Interval & [ 19.6613834041986 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  20.8692288406993 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=93525&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]98[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.59997428515490[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]20[/C][/ROW]
[ROW][C]Sample Mean[/C][C]20.2653061224490[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 19.5435569343791 , 20.9870553105188 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 19.6613834041986 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  20.8692288406993 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=93525&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=93525&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:

Hypothesis Test about the Mean - Confidence Interval
Sample size98
Sample standard deviation3.59997428515490
Confidence0.95
Null hypothesis20
Sample Mean20.2653061224490
2-sided Confidence Interval[ 19.5435569343791 , 20.9870553105188 ]
Left-sided Confidence Interval[ 19.6613834041986 , +inf ]
Right-sided Confidence Interval[ -inf, 20.8692288406993 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 20 ;
Parameters (R input):
par1 = 0.95 ; par2 = 20 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample Mean',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')