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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 computationSat, 11 Oct 2008 16:13:00 -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/t1223763273j6q5122umr4tgpl.htm/, Retrieved Fri, 17 May 2024 02:41:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15380, Retrieved Fri, 17 May 2024 02:41:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact197

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] [Taak 1 Computatio...] [2008-10-11 22:00:15] [819b576fab25b35cfda70f80599828ec]
-   P     [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:02:21] [819b576fab25b35cfda70f80599828ec]
F   P       [Exercise 1.13] [Taak 1 Compuation...] [2008-10-11 22:03:56] [819b576fab25b35cfda70f80599828ec]
-   P         [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:05:14] [819b576fab25b35cfda70f80599828ec]
-               [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:06:41] [819b576fab25b35cfda70f80599828ec]
-                 [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:08:00] [819b576fab25b35cfda70f80599828ec]
F                   [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:09:26] [819b576fab25b35cfda70f80599828ec]
-                     [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:10:48] [819b576fab25b35cfda70f80599828ec]
F                         [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:13:00] [e08fee3874f3333d6b7a377a061b860d] [Current]
-                           [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:18:42] [819b576fab25b35cfda70f80599828ec]
-                             [Exercise 1.13] [Taak 1 Computatio...] [2008-10-11 22:20:24] [819b576fab25b35cfda70f80599828ec]
-   P                           [Exercise 1.13] [Taak 1 Computatio...] [2008-10-13 11:01:01] [819b576fab25b35cfda70f80599828ec]
-   P                           [Exercise 1.13] [Taak 1 Computatio...] [2008-10-13 11:03:34] [819b576fab25b35cfda70f80599828ec]
-   P                           [Exercise 1.13] [Verbetering: 80%] [2008-10-18 15:10:04] [b85eb1eb4b13b870c6e7ebbba3e34fcc]
Feedback Forum
2008-10-17 17:47:06 [Gregory Van Overmeiren] [reply] 
Ook hier had je de parameter van het aantal gesimuleerde dagen moeten verhogen naar 3650 dagen om een correcter resultaat op lange termijn te verkrijgen.
2008-10-18 15:11:40 [Ellen Smolders] [reply] 
De student heeft het correcte antwoord gegeven. Het resultaat had wel nauwkeuriger en meer betrouwbaar geweest indien hij de parameter 'aantal dagen' in 3650 had veranderd. Ter illustratie de link waarin deze parameter is veranderd: http://www.freestatistics.org/blog/index.php?v=date/2008/Oct/18/t1224342651baco15tecr6o4cf.htm
Wanneer de parameter wordt veranderd in 3650 dagen, wordt de waarschijnlijkheidsgraag slechts 0.3%.
2008-10-18 19:10:37 [Astrid Sniekers] [reply] 
Uitleg oplossing vraag 2:
De student heeft de juiste parameter veranderd. De kans dat meer dan 80% van de geboortes jongens zijn in het kleine ziekenhuis is inderdaad klein. Dit blijkt ook uit de berekeningen en conclusie van de student. Deze oefening is correct uitgevoerd. De student beweert dat het resultaat proefondervindelijk tussen 0,2% en 0,8% ligt. Toch heeft hij ook een herberekening gedaan waarbij de uitkomst 1,09% was. Dit klopt dus niet helemaal, maar hij begrijpt wel het opzet van de vraag.
2008-10-20 19:34:32 [Steven Symons] [reply] 
deze vraag heeft de student correct opgelost door de parameter van 0,6 naar 0,8 te veranderen. Maar om een nog nauwkeuriger beeld te bekomen had hij beter de parameter 'aantal dagen' op 3650 laten staan.

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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 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=15380&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=15380&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15380&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)0.8
#Females births in Large Hospital8112
#Males births in Large Hospital8313
#Female births in Small Hospital2720
#Male births in Small Hospital2755
Probability of more than 80 % of male births in Large Hospital0
Probability of more than 80 % of male births in Small Hospital0.00273972602739726
#Days per Year when more than 80 % of male births occur in Large Hospital0
#Days per Year when more than 80 % of male births occur in Small Hospital1

\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) & 0.8 \tabularnewline
#Females births in Large Hospital & 8112 \tabularnewline
#Males births in Large Hospital & 8313 \tabularnewline
#Female births in Small Hospital & 2720 \tabularnewline
#Male births in Small Hospital & 2755 \tabularnewline
Probability of more than 80 % of male births in Large Hospital & 0 \tabularnewline
Probability of more than 80 % of male births in Small Hospital & 0.00273972602739726 \tabularnewline
#Days per Year when more than 80 % of male births occur in Large Hospital & 0 \tabularnewline
#Days per Year when more than 80 % of male births occur in Small Hospital & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15380&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]0.8[/C][/ROW]
[ROW][C]#Females births in Large Hospital[/C][C]8112[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8313[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2720[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2755[/C][/ROW]
[ROW][C]Probability of more than 80 % of male births in Large Hospital[/C][C]0[/C][/ROW]
[C]Probability of more than 80 % of male births in Small Hospital[/C][C]0.00273972602739726[/C][/ROW]
[ROW][C]#Days per Year when more than 80 % of male births occur in Large Hospital[/C][C]0[/C][/ROW]
[C]#Days per Year when more than 80 % of male births occur in Small Hospital[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15380&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15380&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)0.8
#Females births in Large Hospital8112
#Males births in Large Hospital8313
#Female births in Small Hospital2720
#Male births in Small Hospital2755
Probability of more than 80 % of male births in Large Hospital0
Probability of more than 80 % of male births in Small Hospital0.00273972602739726
#Days per Year when more than 80 % of male births occur in Large Hospital0
#Days per Year when more than 80 % of male births occur in Small Hospital1


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 365 ; par2 = 100 ; par3 = 15 ; par4 = 0.6 ;
Parameters (R input):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.8 ;
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 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 more 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')