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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_babies.wasp
Title produced by softwareExercise 1.13
Date of computationMon, 13 Oct 2008 01:43:03 -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/13/t1223885141h2vrthhxeku5ep2.htm/, Retrieved Sun, 19 May 2024 14:35:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15567, Retrieved Sun, 19 May 2024 14:35:56 +0000
QR Codes:

Original text written by user:"At the end of a year, which hospital will have the greater number of days with fewer than 60 percent of the babies born were boys?"
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact194

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] [Ex 1.13 fewer tha...] [2008-10-13 07:43:03] [90714a39acc78a7b2ecd294ecc6b2864] [Current]
Feedback Forum
2008-10-18 08:35:26 [Jeroen Michel] [reply] 
Hier stel ik vast dat u de redenering duidelijk juist heeft. Binnen deze berekening wijzigd u de juiste parameters. Wel 2 belangrijke opmerkingen hierond zijn: 1) Zorg er ook hier voor dat u het aantal 'simulated days' wijzigd naar 3650 dagen en 2) Verander het woord 'more' niet in 'fewer' maar 'less'.
2008-10-18 08:45:57 [Jeroen Michel] [reply] 
In deze berekening wijzigd u ook de correcte parameters. Ook hier heb ik dezelfde opmerkingen die ik hebt gemaakt bij berekening 1 (http://www.freestatistics.org/blog/date/2008/Oct/11/t1223719509bl4hrnbx9jg01t6.htm ) een bijkomde opmerking die ik wil maken, deze geld tevens voor poging 1, is dat u de titels niet heeft vertaald naar het Nederlands.
  2008-10-18 08:47:06 [Jeroen Michel] [reply] 
Error: 2de commentaar geldt voor poging 2!!!
2008-10-19 10:09:15 [Joeri Croci] [reply] 
Inderdaad de parameters zijn goed veranderd, enkel fewer moet je veranderen... ook wanneer je het aantal dagen veranderd naar 3650 bekom je een beter resultaat...
2008-10-20 11:15:44 [Joris Deboel] [reply] 
Idd, de redenering is correct enkel de output tekst moet ook aangepast worden.

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 time3 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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15567&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15567&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15567&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'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 Hospital8181
#Males births in Large Hospital8244
#Female births in Small Hospital2764
#Male births in Small Hospital2711
Probability of more than 60 % of male births in Large Hospital0.854794520547945
Probability of more than 60 % of male births in Small Hospital0.715068493150685
#Days per Year when fewer than 60 % of male births occur in Large Hospital312
#Days per Year when fewer than 60 % of male births occur in Small Hospital261

\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 & 8181 \tabularnewline
#Males births in Large Hospital & 8244 \tabularnewline
#Female births in Small Hospital & 2764 \tabularnewline
#Male births in Small Hospital & 2711 \tabularnewline
Probability of more than 60 % of male births in Large Hospital & 0.854794520547945 \tabularnewline
Probability of more than 60 % of male births in Small Hospital & 0.715068493150685 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Large Hospital & 312 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Small Hospital & 261 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15567&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]8181[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8244[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2764[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2711[/C][/ROW]
[ROW][C]Probability of more than 60 % of male births in Large Hospital[/C][C]0.854794520547945[/C][/ROW]
[C]Probability of more than 60 % of male births in Small Hospital[/C][C]0.715068493150685[/C][/ROW]
[ROW][C]#Days per Year when fewer than 60 % of male births occur in Large Hospital[/C][C]312[/C][/ROW]
[C]#Days per Year when fewer than 60 % of male births occur in Small Hospital[/C][C]261[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15567&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15567&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 Hospital8181
#Males births in Large Hospital8244
#Female births in Small Hospital2764
#Male births in Small Hospital2711
Probability of more than 60 % of male births in Large Hospital0.854794520547945
Probability of more than 60 % of male births in Small Hospital0.715068493150685
#Days per Year when fewer than 60 % of male births occur in Large Hospital312
#Days per Year when fewer than 60 % of male births occur in Small Hospital261


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 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 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')