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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_babies.wasp
Title produced by softwareExercise 1.13
Date of computationSun, 12 Oct 2008 04:53:01 -0600
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Oct/12/t12238088389ibgwr18hs0e875.htm/, Retrieved Sun, 19 May 2024 13:00:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15423, Retrieved Sun, 19 May 2024 13:00:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Exercise 1.13] [Exercise 1.13 (Wo...] [2008-10-01 13:28:34] [b98453cac15ba1066b407e146608df68]
F   P   [Exercise 1.13] [Exercise 1.13 p. ...] [2008-10-12 09:49:53] [74be16979710d4c4e7c6647856088456]
F R         [Exercise 1.13] [Probability of le...] [2008-10-12 10:53:01] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-             [Exercise 1.13] [EX 1.13 Vr 4 extr...] [2008-10-18 12:11:00] [0996801648c22721e57e03a7deb595f2]
- R           [Exercise 1.13] [EX 1.13 Vr 3 Corr...] [2008-10-19 13:58:24] [0996801648c22721e57e03a7deb595f2]
Feedback Forum
2008-10-17 09:59:22 [Davy De Nef] [reply] 
De R-code is juist gewijzigd.
2008-10-18 12:17:30 [Olivier Uyttendaele] [reply] 
De R code is inderdaad correct gewijzigd.

dum1 <- paste('#Days per Year when less than', par4*100, sep=' ')
&
dum1 <- paste('Probability of less than', par4*100, sep=' ')

Uitkomst in voorbeeld student:
Groot ziekenhuis : 333
Klein ziekenhuis : 250

Uitkomst gereproduceerd model van mezelf(1)
Groot ziekenhuis : 328
Klein ziekenhuis : 263

http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/18/t1224332054onjnbiqh9i0db6j.htm

De uitkomst verschilt wederom telkens maar de schommelingen liggen over het algemeen niet ver uit elkaar. Toch heeft het groot ziekenhuis telkens meer dagen met minder dan 60% jongens. Basisprincipe is de wet van de grote getallen. Aangezien hier meer geboortes gebeuren dan in het klein ziekenhuis, gaat het aantal waarnemingen ook naar boven waardoor het resultaat dichter aanleunt tegen de standaard.
2008-10-19 12:32:06 [9142cf052ad32d043faa9486189092cf] [reply] 
De R code is goed aangepast

Het teken groter dan moest veranderd worden naar kleiner dan.
De conclusie is dan dat het grote ziekenhuis meer dagen telt waarbij het aantal mannelijke geboortes minder is dan 60%.

Ook de titel is hier correct aangepast.

More verandert in Fewer

Ook hier kunnen de resultaten een beetje verschillen wanneer je meerdere malen een steekproef uitvoert. Dit is te verklaren doordat de pc at random resultaten neemt uit de database.
2008-10-19 14:02:46 [Olivier Uyttendaele] [reply] 
De R code was goed aangepast enkel moest de titel van de grafieken nog worden vertaald.

Voorbeeld van een gereproduceerd model op basis van berekening student.
http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/19/t1224424776dycfg4yh6rbkf24.htm
2008-10-19 20:45:13 [Stijn Van de Velde] [reply] 
Dit is volledig correct. Het teken werd juist aangepast.
Het had wel beter geweest moest je iets meer informatie gegeven hebben bij de link.

Post a new message

Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15423&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]2 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=15423&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15423&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days365
Expected number of births in Large Hospital45
Expected number of births in Small Hospital15
Percentage of Male births per day(for which the probability is computed)0.6
#Females births in Large Hospital8279
#Males births in Large Hospital8146
#Female births in Small Hospital2706
#Male births in Small Hospital2769
Probability of less than 60 % of male births in Large Hospital0.912328767123288
Probability of less than 60 % of male births in Small Hospital0.684931506849315
#Days per Year when less than 60 % of male births occur in Large Hospital333
#Days per Year when less than 60 % of male births occur in Small Hospital250

\begin{tabular}{lllllllll}
\hline
Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.) \tabularnewline
Number of simulated days & 365 \tabularnewline
Expected number of births in Large Hospital & 45 \tabularnewline
Expected number of births in Small Hospital & 15 \tabularnewline
Percentage of Male births per day(for which the probability is computed) & 0.6 \tabularnewline
#Females births in Large Hospital & 8279 \tabularnewline
#Males births in Large Hospital & 8146 \tabularnewline
#Female births in Small Hospital & 2706 \tabularnewline
#Male births in Small Hospital & 2769 \tabularnewline
Probability of less than 60 % of male births in Large Hospital & 0.912328767123288 \tabularnewline
Probability of less than 60 % of male births in Small Hospital & 0.684931506849315 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 333 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 250 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15423&T=1

[TABLE]
[ROW][C]Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)[/C][/ROW]
[ROW][C]Number of simulated days[/C][C]365[/C][/ROW]
[ROW][C]Expected number of births in Large Hospital[/C][C]45[/C][/ROW]
[ROW][C]Expected number of births in Small Hospital[/C][C]15[/C][/ROW]
[ROW][C]Percentage of Male births per day(for which the probability is computed)[/C][C]0.6[/C][/ROW]
[ROW][C]#Females births in Large Hospital[/C][C]8279[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8146[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2706[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2769[/C][/ROW]
[ROW][C]Probability of less than 60 % of male births in Large Hospital[/C][C]0.912328767123288[/C][/ROW]
[C]Probability of less than 60 % of male births in Small Hospital[/C][C]0.684931506849315[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]333[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]250[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15423&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15423&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:

Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days365
Expected number of births in Large Hospital45
Expected number of births in Small Hospital15
Percentage of Male births per day(for which the probability is computed)0.6
#Females births in Large Hospital8279
#Males births in Large Hospital8146
#Female births in Small Hospital2706
#Male births in Small Hospital2769
Probability of less than 60 % of male births in Large Hospital0.912328767123288
Probability of less than 60 % of male births in Small Hospital0.684931506849315
#Days per Year when less than 60 % of male births occur in Large Hospital333
#Days per Year when less than 60 % of male births occur in Small Hospital250


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.6 ;
Parameters (R input):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.6 ;
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)
numsuccessbig <- 0
numsuccesssmall <- 0
bighospital <- array(NA,dim=c(par1,par2))
smallhospital <- array(NA,dim=c(par1,par3))
bigprob <- array(NA,dim=par1)
smallprob <- array(NA,dim=par1)
for (i in 1:par1) {
bighospital[i,] <- sample(c('F','M'),par2,replace=TRUE)
if (as.matrix(table(bighospital[i,]))[2] < par4*par2) numsuccessbig = numsuccessbig + 1
bigprob[i] <- numsuccessbig/i
smallhospital[i,] <- sample(c('F','M'),par3,replace=TRUE)
if (as.matrix(table(smallhospital[i,]))[2] < par4*par3) numsuccesssmall = numsuccesssmall + 1
smallprob[i] <- numsuccesssmall/i
}
tbig <- as.matrix(table(bighospital))
tsmall <- as.matrix(table(smallhospital))
tbig
tsmall
numsuccessbig/par1
bigprob[par1]
numsuccesssmall/par1
smallprob[par1]
numsuccessbig/par1*365
bigprob[par1]*365
numsuccesssmall/par1*365
smallprob[par1]*365
bitmap(file='test1.png')
plot(bigprob,col=2,main='Probability in Large Hospital',xlab='#simulated days',ylab='probability')
dev.off()
bitmap(file='test2.png')
plot(smallprob,col=2,main='Probability in Small Hospital',xlab='#simulated days',ylab='probability')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of simulated days',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Expected number of births in Large Hospital',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Expected number of births in Small Hospital',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Percentage of Male births per day
(for which the probability is computed)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Females births in Large Hospital',header=TRUE)
a<-table.element(a,tbig[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Males births in Large Hospital',header=TRUE)
a<-table.element(a,tbig[2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Female births in Small Hospital',header=TRUE)
a<-table.element(a,tsmall[1])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'#Male births in Small Hospital',header=TRUE)
a<-table.element(a,tsmall[2])
a<-table.row.end(a)
a<-table.row.start(a)
dum1 <- paste('Probability of less than', par4*100, sep=' ')
dum <- paste(dum1, '% of male births in Large Hospital', sep=' ')
a<-table.element(a, dum, header=TRUE)
a<-table.element(a, bigprob[par1])
a<-table.row.end(a)
dum <- paste(dum1, '% of male births in Small Hospital', sep=' ')
a<-table.element(a, dum, header=TRUE)
a<-table.element(a, smallprob[par1])
a<-table.row.end(a)
a<-table.row.start(a)
dum1 <- paste('#Days per Year when less than', par4*100, sep=' ')
dum <- paste(dum1, '% of male births occur in Large Hospital', sep=' ')
a<-table.element(a, dum, header=TRUE)
a<-table.element(a, bigprob[par1]*365)
a<-table.row.end(a)
dum <- paste(dum1, '% of male births occur in Small Hospital', sep=' ')
a<-table.element(a, dum, header=TRUE)
a<-table.element(a, smallprob[par1]*365)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')