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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 10:58:37 -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/2008/Oct/12/t1223830792d66edc4oskxcgnw.htm/, Retrieved Sun, 19 May 2024 14:45:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=15492, Retrieved Sun, 19 May 2024 14:45:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153

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] [vraag 3: More/less] [2008-10-12 16:58:37] [00a0a665d7a07edd2e460056b0c0c354] [Current]
Feedback Forum
2008-10-17 10:05:25 [90714a39acc78a7b2ecd294ecc6b2864] [reply] 
De oplossing van deze oefening is niet correct. In de R code moeten de twee ongelijkheidstekens van de eerste twee if-codes omgedraaid worden, van groter-dan-teken in kleiner-dan-teken.

if (as.matrix(table(bighospital[i,]))[2] > par4*par2) numsuccessbig = numsuccessbig + 1
wordt
if (as.matrix(table(bighospital[i,]))[2] < par4*par2) numsuccessbig = numsuccessbig + 1

if (as.matrix(table(smallhospital[i,]))[2] > par4*par3) numsuccesssmall = numsuccesssmall + 1
wordt
if (as.matrix(table(smallhospital[i,]))[2] < par4*par3) numsuccesssmall = numsuccesssmall + 1

Om de tekstvakken correct te laten verschijnen, heeft de student de juiste wijzigingen aangebracht. Het resultaat is geen percentage maar wel een antwoordformulering zoals: 'Op het einde van het jaar zijn er in het groot ziekenhuis meer dagen dat er minder dan 60% jongens geboren worden.'
2008-10-19 11:47:41 [2b91075c702c6e89854c34747e80ec72] [reply] 
De oefening is niet volledig juist opgelost en geïnterpreteerd.

De eerste fout die is gemaakt is dat er enkel wijzigingen voor de titelverandering zijn gebeurd en niet voor de R-code ook. Dit geeft een fout resultaat. Om dit op te lossen moeten we twee ongelijkheidstekens wijzigen in de code.

if (as.matrix(table(bighospital[i,]))[2] > par4*par2) numsuccessbig = numsuccessbig + 1

wordt: if (as.matrix(table(bighospital[i,]))[2] < par4*par2) numsuccessbig = numsuccessbig + 1

if (as.matrix(table(smallhospital[i,]))[2] > par4*par3) numsuccesssmall = numsuccesssmall + 1

wordt: if (as.matrix(table(smallhospital[i,]))[2] < par4*par3) numsuccesssmall = numsuccesssmall + 1

Het resultaat zelf is ook fout geïnterpreteerd. Het is niet het procent dat het antwoord biedt maar wel de stelling dat er in het groot ziekenhuis op het einde van het jaar meer dagen zijn dat er minder dan 60% jongetjes worden geboren.
2008-10-20 07:59:42 [Dorien Peeters] [reply] 
De R-code moet veranderd worden.
De > moet worden vervangen door <. Dit is dus ook de logica veranderen.(berekening veranderen)
De formules moeten worden:
if(as.matrix(table(bighospital[i,]))[2]en
if(as.matrix(table(smallhospital[i,]))[2]
2008-10-20 16:27:52 [Kim De Vos] [reply] 
De student heeft deze opdracht niet volledig begrepen.
Ze heeft de R-code aangepast bij de woordverandering maar niet de formule niet aangepast: : if(as.matrix(table(big hospital(i))^[2] veranderen naar groter dan = >par4*par2, dit in beide gevallen.
2008-10-20 18:26:40 [Hans Van Rooy] [reply] 
Zelfde opmerking: de R-code aanpassen is het belangrijkst, aangezien anders de oplossing niet klopt. Indien je het probleem begrijpt, maar de berekening foutief uitvoert krijg je een foutieve uitkomst en sta je nog nerges.

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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 time3 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 & 3 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=15492&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15492&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15492&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'Herman Ole Andreas Wold' @ 193.190.124.10:1001






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 Hospital8117
#Males births in Large Hospital8308
#Female births in Small Hospital2770
#Male births in Small Hospital2705
Probability of less than 60 % of male births in Large Hospital0.0602739726027397
Probability of less than 60 % of male births in Small Hospital0.139726027397260
#Days per Year when less than 60 % of male births occur in Large Hospital22
#Days per Year when less than 60 % of male births occur in Small Hospital51

\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 & 8117 \tabularnewline
#Males births in Large Hospital & 8308 \tabularnewline
#Female births in Small Hospital & 2770 \tabularnewline
#Male births in Small Hospital & 2705 \tabularnewline
Probability of less than 60 % of male births in Large Hospital & 0.0602739726027397 \tabularnewline
Probability of less than 60 % of male births in Small Hospital & 0.139726027397260 \tabularnewline
#Days per Year when less than 60 % of male births occur in Large Hospital & 22 \tabularnewline
#Days per Year when less than 60 % of male births occur in Small Hospital & 51 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=15492&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]8117[/C][/ROW]
[ROW][C]#Males births in Large Hospital[/C][C]8308[/C][/ROW]
[ROW][C]#Female births in Small Hospital[/C][C]2770[/C][/ROW]
[ROW][C]#Male births in Small Hospital[/C][C]2705[/C][/ROW]
[ROW][C]Probability of less than 60 % of male births in Large Hospital[/C][C]0.0602739726027397[/C][/ROW]
[C]Probability of less than 60 % of male births in Small Hospital[/C][C]0.139726027397260[/C][/ROW]
[ROW][C]#Days per Year when less than 60 % of male births occur in Large Hospital[/C][C]22[/C][/ROW]
[C]#Days per Year when less than 60 % of male births occur in Small Hospital[/C][C]51[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=15492&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=15492&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 Hospital8117
#Males births in Large Hospital8308
#Female births in Small Hospital2770
#Male births in Small Hospital2705
Probability of less than 60 % of male births in Large Hospital0.0602739726027397
Probability of less than 60 % of male births in Small Hospital0.139726027397260
#Days per Year when less than 60 % of male births occur in Large Hospital22
#Days per Year when less than 60 % of male births occur in Small Hospital51


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 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')