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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 17:32:12 +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/t1288114242ssi9qsdfimqi941.htm/, Retrieved Sat, 27 Apr 2024 18:17:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=89460, Retrieved Sat, 27 Apr 2024 18:17:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact126

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] [] [2010-10-26 17:32:12] [bab9730fcc23dcda9f14e2a014bd4fbb] [Current]
Feedback Forum
2010-10-29 14:05:32 [Pascal Wijnen] [reply] 
De student begreep denk ik niet goed wat de bedoeling hier was!
De verkeerde data zijn gebruikt, en ook komt de nulhypothese niet overeen met wat in vraag 1 beschreven staat.
De bedoeling was om de H0 te verwerpen of aanvaarden door te kijken of deze binnen of buiten het confidence interval lag.
Bij deze nooit mogelijk door foutieve H0
2010-11-02 15:49:18 [1951de723fd2749e12bc2f1a75bd3e74] [reply] 
Je hebt de verkeerde data gebruikt voor je berekening daardoor is je conclusie fout. Je moest de data uit de kolom post1 gebruiken.

We gaan de hypotheses testen door een t-verdeling te nemen.
Voor treatment E zien we volgende gegevens:
Sample size : 33
Sample SD : 0,435
Confidence : 0,95 (omdat we 5% type 1 error hebben)
Null hypothesis : 0
Het is een eenzijdige toets dus we kijken enkel naar de linkerzijde van het betrouwbaarheidsinterval. [0,629 ; + INF] De kritieke waarde (afgerond) 0,63 zorgt ervoor dat de oppervlakte van het betrouwbaarheidsinterval precies 95% is. Als nul buiten het betrouwbaarheidsinterval ligt dan moeten we Null hypothese verwerpen. 75 % (sample mean) van de leerlingen leert iets dankzij treatment E.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2
1
4
0
4
0
0
0
5
1
0
4
4
1
1
1
4
1
3
1
5
4
0
1
4
0
-1
2
1
1
0
4
4

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=89460&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=89460&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89460&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 size33
Sample standard deviation1.81586026027569
Confidence0.95
Null hypothesis50
Sample Mean1.87878787878788
2-sided Confidence Interval[ 1.23491182784973 , 2.52266392972602 ]
Left-sided Confidence Interval[ 1.34334846367909 , +inf ]
Right-sided Confidence Interval[ -inf, 2.41422729389666 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 33 \tabularnewline
Sample standard deviation & 1.81586026027569 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 50 \tabularnewline
Sample Mean & 1.87878787878788 \tabularnewline
2-sided Confidence Interval & [ 1.23491182784973 , 2.52266392972602 ] \tabularnewline
Left-sided Confidence Interval & [ 1.34334846367909 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  2.41422729389666 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=89460&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]33[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]1.81586026027569[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]50[/C][/ROW]
[ROW][C]Sample Mean[/C][C]1.87878787878788[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 1.23491182784973 , 2.52266392972602 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 1.34334846367909 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  2.41422729389666 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=89460&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=89460&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 size33
Sample standard deviation1.81586026027569
Confidence0.95
Null hypothesis50
Sample Mean1.87878787878788
2-sided Confidence Interval[ 1.23491182784973 , 2.52266392972602 ]
Left-sided Confidence Interval[ 1.34334846367909 , +inf ]
Right-sided Confidence Interval[ -inf, 2.41422729389666 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 50 ;
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')