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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_babies.wasp
Title produced by softwareExercise 1.13
Date of computationMon, 13 Oct 2008 10:47:08 -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/13/t1223916528dnskcsfhgd0lxf7.htm/, Retrieved Sun, 19 May 2024 15:22:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15738, Retrieved Sun, 19 May 2024 15:22:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

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]
- R P   [Exercise 1.13] [EX 1.13 vraag 3] [2008-10-13 15:51:05] [b187fac1a1b0cb3920f54366df47fea3]
F   P       [Exercise 1.13] [Ex 1.13 vraag 3 OK] [2008-10-13 16:47:08] [9d7d6e0b01d5647e3f5dd21d8ef8600e] [Current]
Feedback Forum
2008-10-16 15:51:51 [Christophe Goddaert] [reply] 
Deze oplossing is volledig correct, de R-code van de berekening werd correct aangepast. De grafiekassen werden correct vertaald en de grafieklabels werden ook correct aangepast van 'more' naar 'less'.
2008-10-18 08:55:14 [8e2cc0b2ef568da46d009b2f601285b2] [reply] 
De vraag is goed begrepen en correct opgelost.
De R-code is overal juist aangepast zowel de grafieken, de if structuren en de outputs.
De student heeft gewerkt met 3650 dagen wat een correcte waarschijnlijkheid geeft vermits de waarschijnlijkheid tijd heeft om te convergeren.
2008-10-18 09:13:32 [Jeroen Michel] [reply] 
Ook bij deze laatste vraag past u de correcte parameters aan. De titels zijn gewijzigd naar het Nederlands, If-functie is gewijzigd en ook de laatste vergelijking is gewijzigd. Voorts krijgt u door het wijzigen van de parameters een correcte output. Probeer in uw word document ook hier een meer complete conclusie te trekken.
2008-10-19 13:55:48 [9142cf052ad32d043faa9486189092cf] [reply] 
De r code is correct aangepast zowel voor de berekening als voor de titels
2008-10-20 17:20:04 [Nathalie Boden] [reply] 
We zien hier dat de R-code goed is aangepast om het juiste resultaat te bekomen. Ook heeft de student hier gebruik gemaakt van 3650 dagen wat dan weer goed geconvergeerd is.
2008-10-20 18:22:48 [Evelyne Slegers] [reply] 
Het resultaat is correct. In het worddocument had misschien wel iets meer uitleg mogen staan over het aanpassen van de parameters in de r-code. Er werd ook gevraagd om de grafiektitels te vertalen en dit heeft de student ook correct gedaan

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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 time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15738&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]4 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=15738&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15738&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 time4 seconds
R Server'George Udny Yule' @ 72.249.76.132






Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days3650
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 Hospital81968
#Males births in Large Hospital82282
#Female births in Small Hospital27465
#Male births in Small Hospital27285
Probability of more than 60 % of male births in Large Hospital0.88027397260274
Probability of more than 60 % of male births in Small Hospital0.705753424657534
#Days per Year when less than 60 % of male births occur in Large Hospital321.3
#Days per Year when less than 60 % of male births occur in Small Hospital257.6

\begin{tabular}{lllllllll}
\hline
Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.) \tabularnewline
Number of simulated days & 3650 \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 & 81968 \tabularnewline
#Males births in Large Hospital & 82282 \tabularnewline
#Female births in Small Hospital & 27465 \tabularnewline
#Male births in Small Hospital & 27285 \tabularnewline
Probability of more than 60 % of male births in Large Hospital & 0.88027397260274 \tabularnewline
Probability of more than 60 % of male births in Small Hospital & 0.705753424657534 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 321.3 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 257.6 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15738&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]3650[/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]81968[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]82282[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]27465[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]27285[/C][/ROW]
[ROW][C]Probability of more than 60 % of male births in Large Hospital[/C][C]0.88027397260274[/C][/ROW]
[C]Probability of more than 60 % of male births in Small Hospital[/C][C]0.705753424657534[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]321.3[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]257.6[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15738&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15738&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 days3650
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 Hospital81968
#Males births in Large Hospital82282
#Female births in Small Hospital27465
#Male births in Small Hospital27285
Probability of more than 60 % of male births in Large Hospital0.88027397260274
Probability of more than 60 % of male births in Small Hospital0.705753424657534
#Days per Year when less than 60 % of male births occur in Large Hospital321.3
#Days per Year when less than 60 % of male births occur in Small Hospital257.6


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3650 ; par2 = 45 ; par3 = 15 ; par4 = 0.6 ;
Parameters (R input):
par1 = 3650 ; 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='Waarschijnlijkheid in het grote ziekenhuis',xlab='#gesimuleerd aantal dagen',ylab='waarschijnlijkheid')
dev.off()
bitmap(file='test2.png')
plot(smallprob,col=2,main='Waarschijnlijkheid in het kleine ziekenhuis',xlab='#gesimuleerd aantal dagen',ylab='waarschijnlijkheid')
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 more 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')