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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, 01 Oct 2009 03:51:36 -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/2009/Oct/01/t1254390757ji96jgw3xzbqfzc.htm/, Retrieved Mon, 29 Apr 2024 05:42:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=43170, Retrieved Mon, 29 Apr 2024 05:42:36 +0000
QR Codes:

Original text written by user:Less than 60 %
IsPrivate?No (this computation is public)
User-defined keywordsWS1 Q4 a
Estimated Impact156

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] [] [2009-10-01 09:51:36] [eeda0e496238f8886c14dbbeff6ff613] [Current]
Feedback Forum
2009-10-11 16:12:57 [Kasper Vervloet] [reply] 
De student had bijvoorbeeld de volgende uitleg kunnen geven:

We kunnen afleiden dat de kans dat er minder dan 60% jongens geboren worden in het grote ziekenhuis hoger ligt dan in het kleine ziekenhuis. In beide ziekenhuizen is de kans dat er een jongen (of meisje) geboren wordt ongeveer 50%. Aangezien er in het kleine ziekenhuis maar 15 geboortes per dag zijn en in het grote ziekenhuis 45 is de kans dat er wordt afgeweken van 50% hoger in het kleine dan in het grote ziekenhuis. Stel bijvoorbeeld dat in beide ziekenhuizen de eerste 9 geboortes jongens zijn. In het kleine ziekenhuis zal het percentage jongens nooit meer kunnen zakken onder de 60% aangezien er nog maar 6 geboortes zijn die dag. In het grote ziekenhuis kan dit nog wel aangezien er daar nog 36 geboortes zijn. Daarom ligt de kans op een percentage jongens lager dan 60 ook hoger in het grote ziekenhuis.

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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 time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=43170&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]3 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=43170&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=43170&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 time3 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 Hospital8140
#Males births in Large Hospital8285
#Female births in Small Hospital2700
#Male births in Small Hospital2775
Probability of less than 60 % of male births in Large Hospital0.843835616438356
Probability of less than 60 % of male births in Small Hospital0.67945205479452
#Days per Year when less than 60 % of male births occur in Large Hospital308
#Days per Year when less than 60 % of male births occur in Small Hospital248

\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 & 8140 \tabularnewline
#Males births in Large Hospital & 8285 \tabularnewline
#Female births in Small Hospital & 2700 \tabularnewline
#Male births in Small Hospital & 2775 \tabularnewline
Probability of less than 60 % of male births in Large Hospital & 0.843835616438356 \tabularnewline
Probability of less than 60 % of male births in Small Hospital & 0.67945205479452 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 308 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 248 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=43170&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]8140[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8285[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2700[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2775[/C][/ROW]
[ROW][C]Probability of less than 60 % of male births in Large Hospital[/C][C]0.843835616438356[/C][/ROW]
[C]Probability of less than 60 % of male births in Small Hospital[/C][C]0.67945205479452[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]308[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]248[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=43170&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=43170&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 Hospital8140
#Males births in Large Hospital8285
#Female births in Small Hospital2700
#Male births in Small Hospital2775
Probability of less than 60 % of male births in Large Hospital0.843835616438356
Probability of less than 60 % of male births in Small Hospital0.67945205479452
#Days per Year when less than 60 % of male births occur in Large Hospital308
#Days per Year when less than 60 % of male births occur in Small Hospital248


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')