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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 14:28:16 -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/t1223929746v7a7ohmdfsbiu1m.htm/, Retrieved Fri, 17 May 2024 06:23:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16042, Retrieved Fri, 17 May 2024 06:23:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

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 R       [Exercise 1.13] [ex 1.13 vraag 3] [2008-10-13 20:28:16] [77ff908fa699164c8765f2430a4f222b] [Current]
Feedback Forum
2008-10-18 14:27:28 [Kristof Van Esbroeck] [reply] 
Zowel de titel, less - more, alsook de formule werden correct aangepast. De grafische weergave geeft weer dat de percentages beduidend lager zullen liggen.
2008-10-18 14:28:48 [Kristof Van Esbroeck] [reply] 
Zowel de titel als de formule werden correct aangepast. Hierdoor geven de grafieken ook duidelijk weer dat de percentages beduidend lager zullen liggen.
2008-10-19 10:12:11 [Carl Heselmans] [reply] 
Parameters zijn correct aangepast. Zowel less als het gelijkheidsteken.
2008-10-19 15:09:20 [Chi-Kwong Man] [reply] 
The changes are correct. No comments necessary
2008-10-20 16:30:54 [Steven Symons] [reply] 
de parameters zijn correct aangepast, de titels staan in het nederlands en de andere wijzigingen (more veranderen in less)&( > veranderen in < ) zijn ook correct aangepast.
2008-10-20 17:38:03 [Nathalie Boden] [reply] 
De R-code is goed aangepast. Ook is het goed dat er hier een periode van 3650 dagen staat weergegeven in plaats van 365 dagen die ik in de meeste opgaven heb teruggevonden. Hoe meer dagen (= hoe langer de periode) hoe nauwkeuriger het resultaat.

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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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 5 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16042&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16042&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16042&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 time5 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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 Hospital82178
#Males births in Large Hospital82072
#Female births in Small Hospital27427
#Male births in Small Hospital27323
Probability of more than 60 % of male births in Large Hospital0.883561643835616
Probability of more than 60 % of male births in Small Hospital0.699178082191781
#Days per Year when less than 60 % of male births occur in Large Hospital322.5
#Days per Year when less than 60 % of male births occur in Small Hospital255.2

\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 & 82178 \tabularnewline
#Males births in Large Hospital & 82072 \tabularnewline
#Female births in Small Hospital & 27427 \tabularnewline
#Male births in Small Hospital & 27323 \tabularnewline
Probability of more than 60 % of male births in Large Hospital & 0.883561643835616 \tabularnewline
Probability of more than 60 % of male births in Small Hospital & 0.699178082191781 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 322.5 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 255.2 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16042&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]82178[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]82072[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]27427[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]27323[/C][/ROW]
[ROW][C]Probability of more than 60 % of male births in Large Hospital[/C][C]0.883561643835616[/C][/ROW]
[C]Probability of more than 60 % of male births in Small Hospital[/C][C]0.699178082191781[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]322.5[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]255.2[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16042&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16042&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 Hospital82178
#Males births in Large Hospital82072
#Female births in Small Hospital27427
#Male births in Small Hospital27323
Probability of more than 60 % of male births in Large Hospital0.883561643835616
Probability of more than 60 % of male births in Small Hospital0.699178082191781
#Days per Year when less than 60 % of male births occur in Large Hospital322.5
#Days per Year when less than 60 % of male births occur in Small Hospital255.2


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')