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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 10:17:47 -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/t12239147257hbi1m7twaf6g59.htm/, Retrieved Sun, 19 May 2024 15:21:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15707, Retrieved Sun, 19 May 2024 15:21:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131

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       [Exercise 1.13] [ex 1.13 quiestion 3] [2008-10-13 16:17:47] [d41d8cd98f00b204e9800998ecf8427e] [Current]
Feedback Forum
2008-10-18 10:38:36 [Kenny Simons] [reply] 
Deze vraag heeft de student zeer goed opgelost. Enkel is de student vergeten de tekst van de uitkomst mee te veranderen namelijk more in less.

Verbetering:
dum1 <- paste('Probability of less than', par4*100, sep=' ').
2008-10-19 15:24:43 [Niels Stas] [reply] 
Deze vraag is grotendeels correct opgelost. De berekening werd correct aangepast in de R code door het teken te veranderen van '>' in '<'. Ook de titels van de grafieken zijn correct gewijzigd.

De tekst van het resultaat werd niet aangepast. Dit kon je doen door het volgende te wijzigen van 'more' naar 'less';

dum1 <- paste('Probability of less than', par4*100, sep=' ')
2008-10-19 22:50:15 [Kristof Augustyns] [reply] 
if (as.matrix(table(bighospital[i,]))[2] < par4*par2) en
if (as.matrix(table(smallhospital[i,]))[2] < par4*par3)
Oorspronkelijk was het > dan, maar doordat de het omgekeerde van de vraagstelling werd gevraagd, moet het 'kleiner dan' worden.
Dit is hier goed gedaan in de R-code.

dum1 <- paste('Probability of less than' en dum1 <- paste('#Days per Year when less than'
--> Hier was het oorspronkelijk more than en dit is niet vervangen door 'less than'

Vertaling van de as bovenaan:
plot(bigprob,col=2,main='Probability in Large Hospital',xlab='#simulated days',ylab='probability')
dev.off()
plot(smallprob,col=2,main='Probability in Small Hospital',xlab='#simulated days',ylab='probability')
dev.off()

Dit was oorspronkelijk in de R-code en is goed vervangen door:
plot(bigprob,col=2,main='Kans in het grote ziekenhuis',xlab='#simulated days',ylab='probability')
dev.off()
plot(smallprob,col=2,main='Kans in het kleine ziekenhuis',xlab='#simulated days',ylab='probability')
dev.off()

De berekeningen zijn allemaal wel goed gemaakt, maar de verificatie ontbreekt.
Ook is er geen echt resultaat.
De student geeft geen bepaald aantal dagen weer voor het klein ziekenhuis en voor het groot ziekenhuis.
Er moet staan op het einde:
Dagen per jaar wanneer minder dan 60% van de mannelijke geboorten in het grote ziekenhuis plaats vinden --> 323
Dagen per jaar wannneer minder dan 60% van de mannelijke geboorten in het kleine ziekenhuis plaats vinden --> 254.3
=> Vraagstelling: Welk ziekenhuis heeft het grootst aantal dagen wanneer minder dan 60% van de mannelijke geboorten plaatsvinden.
Antwoord: Het grote ziekenhuis.
2008-10-20 16:48:46 [802532bf09ebf60737f960400127f461] [reply] 
De student heeft deze vraag begrepen en correct beantwoord. Enkel moest de student ook nog in de R-Code 'more' veranderen in 'less' om zo een juiste vraagstelling te verkrijgen.

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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 time10 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 10 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15707&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]10 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15707&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15707&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 time10 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






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)0.6
#Females births in Large Hospital82160
#Males births in Large Hospital82090
#Female births in Small Hospital27313
#Male births in Small Hospital27437
Probability of more than 60 % of male births in Large Hospital0.884931506849315
Probability of more than 60 % of male births in Small Hospital0.696712328767123
#Days per Year when less than 60 % of male births occur in Large Hospital323
#Days per Year when less than 60 % of male births occur in Small Hospital254.3

\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) & 0.6 \tabularnewline
#Females births in Large Hospital & 82160 \tabularnewline
#Males births in Large Hospital & 82090 \tabularnewline
#Female births in Small Hospital & 27313 \tabularnewline
#Male births in Small Hospital & 27437 \tabularnewline
Probability of more than 60 % of male births in Large Hospital & 0.884931506849315 \tabularnewline
Probability of more than 60 % of male births in Small Hospital & 0.696712328767123 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 323 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 254.3 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15707&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]0.6[/C][/ROW]
[ROW][C]#Females births in Large Hospital[/C][C]82160[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]82090[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]27313[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]27437[/C][/ROW]
[ROW][C]Probability of more than 60 % of male births in Large Hospital[/C][C]0.884931506849315[/C][/ROW]
[C]Probability of more than 60 % of male births in Small Hospital[/C][C]0.696712328767123[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]323[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]254.3[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15707&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15707&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)0.6
#Females births in Large Hospital82160
#Males births in Large Hospital82090
#Female births in Small Hospital27313
#Male births in Small Hospital27437
Probability of more than 60 % of male births in Large Hospital0.884931506849315
Probability of more than 60 % of male births in Small Hospital0.696712328767123
#Days per Year when less than 60 % of male births occur in Large Hospital323
#Days per Year when less than 60 % of male births occur in Small Hospital254.3


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3650 ; par2 = 45 ; par3 = 15 ; par4 = 0.6 ;
Parameters (R input):
par1 = 3650 ; 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='Waarschijnlijkheid in groot ziekenhuis',xlab='#simulated days',ylab='probability')
dev.off()
bitmap(file='test2.png')
plot(smallprob,col=2,main='Waarschijnlijkheid in klein 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 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 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')