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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 05:32:32 -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/t1223813119c1pppek4r2gk5ut.htm/, Retrieved Sun, 19 May 2024 13:01:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15443, Retrieved Sun, 19 May 2024 13:01:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact163

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 3: Result 1] [2008-10-12 11:32:32] [96c9291ce335a5c9abba7b920811c2df] [Current]
Feedback Forum
2008-10-17 14:43:06 [Matthieu Blondeau] [reply] 
Je hebt ook hier 2 simulaties gedaan om te kunnen vergelijken. Ik heb wel opgemerkt dat je voor deze link 0,75 hebt staan bij parameter 4 in plaats van 0,8. Dit is waarschijnlijk een kleine vergissing want in jouw volgende simulatie is het wel correct.
2008-10-19 14:58:54 [Stijn Loomans] [reply] 
Zoals de student boven mij opmerkt heb je in deze bereking gebruik gemaakt van 0,75 ipv 0,80 . Maar dit zal waarschijnlijk een vergissing zijn . Want uit de rest van je oplossing zie ik dat je het goed begrijpt
2008-10-19 14:59:49 [Evelyn Ongena] [reply] 
De parameter is correct veranderd van 60% naar 80%, het is echter nog beter als je meerdere simulaties maakt en van de bekomen resultaten een gemiddelde neemt. Hoe meer reproducties hoe juister.
2008-10-19 18:06:54 [Kristof Augustyns] [reply] 
Bij parameter 4 staat er 0.75 en dat moet natuurlijk omgezet worden naar 0.80 omdat het naar 80% moet gaan.
Als men dit dan doet met verschillende berekeningen, zal men resultaten bekomen van: 0.00273972602739726, 0.00821917808219178, ... bij het kleine ziekenhuis wel te verstaan.
In het grote ziekenhuis is de waarschijnlijkheid 'nul' wanneer er meer dan 80% mannelijke geboortes zouden plaatsvinden.
Er zal dus geen enkele dag bestaan in 365 of 3650 dagen dat er meer dan 80% mannelijke geboortes zouden zijn.
In het kleine ziekenhuis is er wel een reële kans dat er meer dan 80% mannelijke geboortes zouden kunnen ontstaan.
Met de wetenschap dat: hoe groter het ziekenhuis en dus ook de populatie, hoe kleiner de kans is dat op een dag meer dan 80% mannelijke geboortes zouden plaatsvinden.
Daardoor kan men er dus vanuit gaan dat de waarschijnlijkheid bij het grote ziekenhuis 'nul' is en bij het kleine ziekenhuis NET niet 'nul' is.


2008-10-19 20:38:44 [256f97d8b7c07ed49f142eff724c6520] [reply] 
De parameter moet naar 80% verandert worden niet naar 75%, maar dit is slechts een vergissing. Natuurlijk hoe meer proeven je uitvoert, hoe beter je de uitkomst kan verantwoorden.
2008-10-20 20:21:55 [Thi Thanh Hoang] [reply] 
Er werd hier bij paramater 4, 0.75 ingevoerd ipv 0.80. Een foutje die te vermijden was als je even de resultaten had overlopen. Het belangrijkste is dat je begrijpt wat er gevraagd werd.

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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=15443&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=15443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15443&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)0.75
#Females births in Large Hospital8167
#Males births in Large Hospital8258
#Female births in Small Hospital2681
#Male births in Small Hospital2794
Probability of more than 75 % of male births in Large Hospital0
Probability of more than 75 % of male births in Small Hospital0.00821917808219178
#Days per Year when more than 75 % of male births occur in Large Hospital0
#Days per Year when more than 75 % of male births occur in Small Hospital3

\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) & 0.75 \tabularnewline
#Females births in Large Hospital & 8167 \tabularnewline
#Males births in Large Hospital & 8258 \tabularnewline
#Female births in Small Hospital & 2681 \tabularnewline
#Male births in Small Hospital & 2794 \tabularnewline
Probability of more than 75 % of male births in Large Hospital & 0 \tabularnewline
Probability of more than 75 % of male births in Small Hospital & 0.00821917808219178 \tabularnewline
#Days per Year when more than 75 % of male births occur in Large Hospital & 0 \tabularnewline
#Days per Year when more than 75 % of male births occur in Small Hospital & 3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15443&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]0.75[/C][/ROW]
[ROW][C]#Females births in Large Hospital[/C][C]8167[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8258[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2681[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2794[/C][/ROW]
[ROW][C]Probability of more than 75 % of male births in Large Hospital[/C][C]0[/C][/ROW]
[C]Probability of more than 75 % of male births in Small Hospital[/C][C]0.00821917808219178[/C][/ROW]
[ROW][C]#Days per Year when more than 75 % of male births occur in Large Hospital[/C][C]0[/C][/ROW]
[C]#Days per Year when more than 75 % of male births occur in Small Hospital[/C][C]3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15443&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)0.75
#Females births in Large Hospital8167
#Males births in Large Hospital8258
#Female births in Small Hospital2681
#Male births in Small Hospital2794
Probability of more than 75 % of male births in Large Hospital0
Probability of more than 75 % of male births in Small Hospital0.00821917808219178
#Days per Year when more than 75 % of male births occur in Large Hospital0
#Days per Year when more than 75 % of male births occur in Small Hospital3


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.75 ;
Parameters (R input):
par1 = 365 ; par2 = 45 ; par3 = 15 ; par4 = 0.75 ;
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')