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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 computationSun, 12 Oct 2008 06:25:22 -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/t1223814369pjt0cm8ueg8l79k.htm/, Retrieved Sun, 19 May 2024 13:01:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15455, Retrieved Sun, 19 May 2024 13:01:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact173

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] [Vraag 1: Result 2] [2008-10-12 10:09:14] [70cb582895831af4be81fec73c607e93]
F R         [Exercise 1.13] [Vraag 4: Result 3] [2008-10-12 12:25:22] [96c9291ce335a5c9abba7b920811c2df] [Current]
Feedback Forum
2008-10-19 16:29:47 [Kristof Augustyns] [reply] 
Dit is gewoon een tweede berekening die is gemaakt om toch een vergelijking te stellen, maar wat er bij de vorige link werd aangehaald blijft niet gewijzigd.
Het komt er op neer dat bij elke berekening hetzelfde resultaat volgt,
namelijk dat het aantal mannelijke geboortes onder de 60% altijd het hoogste blijft in het grote ziekenhuis.
Na twee, drie, vier of 100 berekeningen zal men altijd dit resultaat bekomen.
Ook blijft het zo dat 'hoe meer simulated days, hoe nauwkeuriger'.

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15455&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15455&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15455&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'George Udny Yule' @ 72.249.76.132






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 Hospital8320
#Males births in Large Hospital8105
#Female births in Small Hospital2752
#Male births in Small Hospital2723
Probability of less than 60 % of male births in Large Hospital0.893150684931507
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 Hospital326
#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 & 8320 \tabularnewline
#Males births in Large Hospital & 8105 \tabularnewline
#Female births in Small Hospital & 2752 \tabularnewline
#Male births in Small Hospital & 2723 \tabularnewline
Probability of less than 60 % of male births in Large Hospital & 0.893150684931507 \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 & 326 \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=15455&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]8320[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8105[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2752[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2723[/C][/ROW]
[ROW][C]Probability of less than 60 % of male births in Large Hospital[/C][C]0.893150684931507[/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]326[/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=15455&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15455&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 Hospital8320
#Males births in Large Hospital8105
#Female births in Small Hospital2752
#Male births in Small Hospital2723
Probability of less than 60 % of male births in Large Hospital0.893150684931507
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 Hospital326
#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='Kans in het grote ziekenhuis',xlab='#simulated days',ylab='probability') 
dev.off() 
bitmap(file='test2.png') 
plot(smallprob,col=2,main='Kans 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 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')