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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 computationThu, 09 Oct 2008 06:26:46 -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/09/t1223555429u2e45dpjqs3ueft.htm/, Retrieved Sun, 19 May 2024 14:34:30 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15088, Retrieved Sun, 19 May 2024 14:34:30 +0000
QR Codes:

Original text written by user:Geboortes per ziekenhuis minder dan 60% jongens
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact195

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 P     [Exercise 1.13] [Oefening 1.13] [2008-10-09 12:26:46] [35348cd8592af0baf5f138bd59921307] [Current]
Feedback Forum
2008-10-17 12:18:49 [339a57d8a4d5d113e4804fc423e4a59e] [reply] 
De student heeft de R-code veranderd en bekomt hiermee een goede berekening. Om de oplossing te vinden moest men namelijk de R-code veranderen. In volgende paragraaf moest men het teken '>' vervangen door het teken '<'. Ook moest men ipv 'more than', 'less than' invoeren.

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

De student heeft dit teken en ook de tekst in haar R-code veranderd, waardoor ze een juiste oplossing bekomt.
2008-10-17 16:02:22 [Annelies Michiels] [reply] 
De student heeft inderdaad de R-code correct verandert.
Zowel de > en de more than moesten veranderd worden.
De student kan heeft voor deze vraag echter maar 1 simulatie uitgevoerd. Dankzij deze ene simulatie inderdaad de conclusie trekken dat er het aantal dagen het grootst is in het grote ziekenhuis.

Er zijn echter meedere simulaties nodig om te merken dat ook hier het aantal dagen dat er minder dan 60% jongens worden geboren schommelt. Er kan dus geen exact aantal dagen worden gegeven enkel een ruwe schatting.
2008-10-18 16:42:37 [Hidde Van Kerckhoven] [reply] 
De r code is inderdaad goed veranderd, (zowel het <, > teken... Maar ook de benaming van de assen)

Het is echter aangewezen meerdere berekeningen te doen en te werken met een maximum aantal dagen (wet grote getallen)

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 time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15088&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]1 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=15088&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15088&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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 Hospital8199
#Males births in Large Hospital8226
#Female births in Small Hospital2772
#Male births in Small Hospital2703
Probability of fewer than 60 % of male births in Large Hospital0.895890410958904
Probability of fewer than 60 % of male births in Small Hospital0.695890410958904
#Days per Year when fewer than 60 % of male births occur in Large Hospital327
#Days per Year when fewer than 60 % of male births occur in Small Hospital254

\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 & 8199 \tabularnewline
#Males births in Large Hospital & 8226 \tabularnewline
#Female births in Small Hospital & 2772 \tabularnewline
#Male births in Small Hospital & 2703 \tabularnewline
Probability of fewer than 60 % of male births in Large Hospital & 0.895890410958904 \tabularnewline
Probability of fewer than 60 % of male births in Small Hospital & 0.695890410958904 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Large Hospital & 327 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Small Hospital & 254 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15088&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]8199[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8226[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2772[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2703[/C][/ROW]
[ROW][C]Probability of fewer than 60 % of male births in Large Hospital[/C][C]0.895890410958904[/C][/ROW]
[C]Probability of fewer than 60 % of male births in Small Hospital[/C][C]0.695890410958904[/C][/ROW]
[ROW][C]#Days per Year when fewer than 60 % of male births occur in Large Hospital[/C][C]327[/C][/ROW]
[C]#Days per Year when fewer than 60 % of male births occur in Small Hospital[/C][C]254[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15088&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15088&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 Hospital8199
#Males births in Large Hospital8226
#Female births in Small Hospital2772
#Male births in Small Hospital2703
Probability of fewer than 60 % of male births in Large Hospital0.895890410958904
Probability of fewer than 60 % of male births in Small Hospital0.695890410958904
#Days per Year when fewer than 60 % of male births occur in Large Hospital327
#Days per Year when fewer than 60 % of male births occur in Small Hospital254


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.8 ;
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='Waarschijnlijkheid in het grote ziekenhuis',xlab='#simulated days',ylab='probability')
dev.off()
bitmap(file='test2.png')
plot(smallprob,col=2,main='Waarschijnlijkheid in het kleine ziekenhuis',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 fewer 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 fewer 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')