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 computationTue, 26 Oct 2010 23:11:11 +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/27/t1288134605joj5j9pv3toyxy9.htm/, Retrieved Tue, 30 Apr 2024 07:12:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89770, Retrieved Tue, 30 Apr 2024 07:12:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact160

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F       [Testing Mean with unknown Variance - Critical Value] [vraag 5] [2010-10-26 23:11:11] [1dcc00c558d86ebf2132b02bed787260] [Current]
-   P     [Testing Mean with unknown Variance - Critical Value] [vraag 7 (1%)] [2010-10-26 23:15:33] [3b4d50908b02f70d585ba4c3ab01ca98]
-   P       [Testing Mean with unknown Variance - Critical Value] [vraag 7 (2%)] [2010-10-26 23:23:32] [3b4d50908b02f70d585ba4c3ab01ca98]
F RMPD      [Testing Variance - p-value (probability)] [vraag 8] [2010-10-26 23:36:19] [3b4d50908b02f70d585ba4c3ab01ca98]
-   P         [Testing Variance - p-value (probability)] [vraag 8 (vrouwen)] [2010-10-26 23:38:29] [3b4d50908b02f70d585ba4c3ab01ca98]
F   P         [Testing Variance - p-value (probability)] [vraag 8 (vrouwen)] [2010-10-26 23:42:09] [3b4d50908b02f70d585ba4c3ab01ca98]
F RMP         [Testing Mean with known Variance - Sample Size] [vraag 10] [2010-10-26 23:48:15] [3b4d50908b02f70d585ba4c3ab01ca98]
F RMP         [Testing Mean with known Variance - Sample Size] [vraag 10] [2010-10-26 23:50:00] [3b4d50908b02f70d585ba4c3ab01ca98]
F RMP         [Minimum Sample Size - Testing Mean] [vraag 11] [2010-10-26 23:53:29] [3b4d50908b02f70d585ba4c3ab01ca98]
Feedback Forum
2010-11-02 15:46:36 [f0479c8ad85b1406c7a3120008048c58] [reply] 
Het twee-zijdige interval bevat niet de null-waarde (= 20), omdat het 95%-betrouwbaarheidsinterval is [20.223810410058, 22,0936499074023]. Daarom verwerpen wij de nulhypothese (de vrouwelijke I1 score is significant verschillend van 20 op het 5% type I error level).

http://www.freestatistics.org/blog/date/2010/Oct/25/t1288040179ws68cbfooxjj9ot.htm/
2010-11-02 15:47:30 [f0479c8ad85b1406c7a3120008048c58] [reply] 
Het heeft alleen zin om deze kwestie op te lossen voor een linkszijdige betrouwbaarheidsinterval, omdat het steekproefgemiddelde groter is dan 20 (voor mannen en vrouwen). Er is geen noodzaak om nieuwe berekeningen te genereren (het resultaat is
reeds opgenomen in de output van de laatste twee berekeningen).

Mannen
De linker-zijdige 95% betrouwbaarheidsinterval is [19,6801369145128, + inf]. Dit interval bevat de null waarde. Daarom accepteren we de nulhypothese.

Vrouwtjes
De linker-zijdige 95% betrouwbaarheidsinterval is [20,3777621085879, + inf]. Dit interval bevat geen nulwaarde. Daarom verwerpen wij de nulhypothese.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19
25
17
22
21
26
20
14
23
20
22
15
20
22
20
28
25
26
17
23
13
24
14
22
23
22
24
21
23
22
21
26
15
25
17
25
27
25
19
26
20
20
18
18
19
23
17
23
23
11
18
24
16
24
24
21
25
22
21
24
24
21
18

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=89770&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=89770&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89770&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






Hypothesis Test about the Mean - Confidence Interval
Sample size63
Sample standard deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 63 \tabularnewline
Sample standard deviation & 3.71225672258781 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 20 \tabularnewline
Sample Mean & 21.1587301587302 \tabularnewline
2-sided Confidence Interval & [ 20.223810410058 , 22.0936499074023 ] \tabularnewline
Left-sided Confidence Interval & [ 20.3777621085879 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  21.9396982088724 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89770&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]63[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]3.71225672258781[/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]21.1587301587302[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 20.223810410058 , 22.0936499074023 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 20.3777621085879 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  21.9396982088724 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89770&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89770&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 size63
Sample standard deviation3.71225672258781
Confidence0.95
Null hypothesis20
Sample Mean21.1587301587302
2-sided Confidence Interval[ 20.223810410058 , 22.0936499074023 ]
Left-sided Confidence Interval[ 20.3777621085879 , +inf ]
Right-sided Confidence Interval[ -inf, 21.9396982088724 ]


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')