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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 computationMon, 13 Oct 2008 09:22:15 -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/t1223911409g584ji1ghxl0q7r.htm/, Retrieved Sun, 19 May 2024 15:26:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15656, Retrieved Sun, 19 May 2024 15:26:51 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact224

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]
- R P   [Exercise 1.13] [1.13 Gr-kl 105-35...] [2008-10-08 18:29:40] [44ec60eb6065a3f81a5f756bd5af1faf]
F R P     [Exercise 1.13] [1.13 <60%] [2008-10-08 19:27:49] [44ec60eb6065a3f81a5f756bd5af1faf]
F   P         [Exercise 1.13] [Groot ziekenhuis:...] [2008-10-13 15:22:15] [b5110a3ab194da7214bdf478e0a05dbd] [Current]
Feedback Forum
2008-10-16 13:32:32 [Katrien Bourdiaudhy] [reply] 
de R-code werd correct veranderd. ook de oplossng is correct.
2008-10-17 10:35:56 [Ciska Tanghe] [reply] 
Zowel de R-code, de titel van de grafiek en de assen werden correct veranderd.
2008-10-19 12:26:43 [e9c861930c027d1bae8828281431911e] [reply] 
de R-code en grafiek werden juist aangepast
2008-10-19 13:11:02 [Liese Tormans] [reply] 
De R code is goed aangepast

Het teken groter dan moest veranderd worden naar kleiner dan.
De conclusie is dan dat het grote ziekenhuis meer dagen telt waarbij het aantal mannelijke geboortes minder is dan 60%.

Ook de titel is hier correct aangepast.

More verandert in Fewer

Ook hier kunnen de resultaten een beetje verschillen wanneer je meerdere malen een steekproef uitvoert. Dit is te verklaren doordat de pc at random resultaten neemt uit de database.

=> Het grote hospitaal heeft meer kans op een dag met minder dan 60% mannelijke geboortes.

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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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15656&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15656&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15656&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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 Hospital8202
#Males births in Large Hospital8223
#Female births in Small Hospital2744
#Male births in Small Hospital2731
Probability of fewer than 60 % of male births in Large Hospital0.895890410958904
Probability of fewer than 60 % of male births in Small Hospital0.698630136986301
#Days per Year when fewer than 60 % of male births occur in Large Hospital327
#Days per Year when fewer than 60 % of male births occur in Small Hospital255

\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 & 8202 \tabularnewline
#Males births in Large Hospital & 8223 \tabularnewline
#Female births in Small Hospital & 2744 \tabularnewline
#Male births in Small Hospital & 2731 \tabularnewline
Probability of fewer than 60 % of male births in Large Hospital & 0.895890410958904 \tabularnewline
Probability of fewer than 60 % of male births in Small Hospital & 0.698630136986301 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Large Hospital & 327 \tabularnewline
#Days per Year when fewer than 60 % of male births occur in Small Hospital & 255 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15656&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]8202[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8223[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2744[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2731[/C][/ROW]
[ROW][C]Probability of fewer than 60 % of male births in Large Hospital[/C][C]0.895890410958904[/C][/ROW]
[C]Probability of fewer than 60 % of male births in Small Hospital[/C][C]0.698630136986301[/C][/ROW]
[ROW][C]#Days per Year when fewer than 60 % of male births occur in Large Hospital[/C][C]327[/C][/ROW]
[C]#Days per Year when fewer than 60 % of male births occur in Small Hospital[/C][C]255[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15656&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15656&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 Hospital8202
#Males births in Large Hospital8223
#Female births in Small Hospital2744
#Male births in Small Hospital2731
Probability of fewer than 60 % of male births in Large Hospital0.895890410958904
Probability of fewer than 60 % of male births in Small Hospital0.698630136986301
#Days per Year when fewer than 60 % of male births occur in Large Hospital327
#Days per Year when fewer than 60 % of male births occur in Small Hospital255


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='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 fewer 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')