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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 computationTue, 06 Oct 2009 12:16:37 -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/06/t12548530474y4vioo51qfygri.htm/, Retrieved Thu, 02 May 2024 06:13:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=44202, Retrieved Thu, 02 May 2024 06:13:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsB&p, question 4, try 2
Estimated Impact150

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] [Babies & probabil...] [2009-10-06 18:16:37] [e339dd08bcbfc073ac7494f09a949034] [Current]
-   P     [Exercise 1.13] [] [2009-10-09 09:41:47] [90f6d58d515a4caed6fb4b8be4e11eaa]
Feedback Forum
2009-10-09 10:00:06 [2460ee3e2fa32fdc9b978f0fdcaa7004] [reply] 
Je uitleg met betrekking tot deze oefening is correct en je hebt de R-code goed aangepast. Alleen heb je de parameter 'Percentage of Male births per day' op 0,8 i.p.v. 0,6 gezet. Waarschijnlijk ben je deze vergeten terugzetten op 0,6 na de vorige oefening, want in je uitleg spreek je wel over 'minder dan 60%'. In het vervolg kan je best alle parameters nog eens goed nakijken, want je had de verkeerde conclusies kunnen trekken. Nu stemmen jouw grafieken niet overeen met je uitleg en dat is jammer.

Ik heb de volgende verbering gemaakt (ik hoop dat dit de juiste manier is):
http://www.freestatistics.org/blog/index.php?v=date/2009/Oct/09/t1255081383q2v6oroe2b561lz.htm/
2009-10-09 13:29:36 [02c378bb8799c3ade372145a2f33c82f] [reply] 
Aan de vorige 'reviewer': terechte opmerking. Je nieuwe berekening klopt inderdaad.

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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 time7 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 7 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=44202&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]7 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=44202&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=44202&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 time7 seconds
R Server'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.)
Number of simulated days3650
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 Hospital82127
#Males births in Large Hospital82123
#Female births in Small Hospital27607
#Male births in Small Hospital27143
Probability of less than 80 % of male births in Large Hospital1
Probability of less than 80 % of male births in Small Hospital0.985479452054794
#Days per Year when less than 80 % of male births occur in Large Hospital365
#Days per Year when less than 80 % of male births occur in Small Hospital359.7

\begin{tabular}{lllllllll}
\hline
Exercise 1.13 p. 14 (Introduction to Probability, 2nd ed.) \tabularnewline
Number of simulated days & 3650 \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 & 82127 \tabularnewline
#Males births in Large Hospital & 82123 \tabularnewline
#Female births in Small Hospital & 27607 \tabularnewline
#Male births in Small Hospital & 27143 \tabularnewline
Probability of less than 80 % of male births in Large Hospital & 1 \tabularnewline
Probability of less than 80 % of male births in Small Hospital & 0.985479452054794 \tabularnewline
#Days per Year when less than 80 % of male births occur in Large Hospital & 365 \tabularnewline
#Days per Year when less than 80 % of male births occur in Small Hospital & 359.7 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=44202&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]3650[/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]82127[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]82123[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]27607[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]27143[/C][/ROW]
[ROW][C]Probability of less than 80 % of male births in Large Hospital[/C][C]1[/C][/ROW]
[C]Probability of less than 80 % of male births in Small Hospital[/C][C]0.985479452054794[/C][/ROW]
[ROW][C]#Days per Year when less than 80 % of male births occur in Large Hospital[/C][C]365[/C][/ROW]
[C]#Days per Year when less than 80 % of male births occur in Small Hospital[/C][C]359.7[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=44202&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=44202&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 days3650
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 Hospital82127
#Males births in Large Hospital82123
#Female births in Small Hospital27607
#Male births in Small Hospital27143
Probability of less than 80 % of male births in Large Hospital1
Probability of less than 80 % of male births in Small Hospital0.985479452054794
#Days per Year when less than 80 % of male births occur in Large Hospital365
#Days per Year when less than 80 % of male births occur in Small Hospital359.7


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3650 ; par2 = 45 ; par3 = 15 ; par4 = 0.8 ;
Parameters (R input):
par1 = 3650 ; 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 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')