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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_sample.wasp
Title produced by softwareMinimum Sample Size - Testing Proportions
Date of computationFri, 04 Jan 2013 15:19:00 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/04/t13573308002m1g3yefik57vc4.htm/, Retrieved Sat, 27 Apr 2024 22:56:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205014, Retrieved Sat, 27 Apr 2024 22:56:10 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact168

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Minimum Sample Size - Testing Proportions] [Adams 2013] [2013-01-04 20:19:00] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net

\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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205014&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205014&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205014&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Minimum Sample Size
Population Size106
Margin of Error0.1
Confidence0.9
Power0.5
Response Distribution (Proportion)0.5
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)41.5300559674317
Minimum Sample Size (1 sided test)29.7981052967856

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size \tabularnewline
Population Size & 106 \tabularnewline
Margin of Error & 0.1 \tabularnewline
Confidence & 0.9 \tabularnewline
Power & 0.5 \tabularnewline
Response Distribution (Proportion) & 0.5 \tabularnewline
z(alpha/2) + z(beta) & 1.64485362695147 \tabularnewline
z(alpha) + z(beta) & 1.2815515655446 \tabularnewline
Minimum Sample Size (2 sided test) & 41.5300559674317 \tabularnewline
Minimum Sample Size (1 sided test) & 29.7981052967856 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205014&T=1

[TABLE]
[ROW][C]Minimum Sample Size[/C][/ROW]
[ROW][C]Population Size[/C][C]106[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.1[/C][/ROW]
[ROW][C]Confidence[/C][C]0.9[/C][/ROW]
[ROW][C]Power[/C][C]0.5[/C][/ROW]
[ROW][C]Response Distribution (Proportion)[/C][C]0.5[/C][/ROW]
[ROW][C]z(alpha/2) + z(beta)[/C][C]1.64485362695147[/C][/ROW]
[ROW][C]z(alpha) + z(beta)[/C][C]1.2815515655446[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]41.5300559674317[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]29.7981052967856[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205014&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205014&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:

Minimum Sample Size
Population Size106
Margin of Error0.1
Confidence0.9
Power0.5
Response Distribution (Proportion)0.5
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)41.5300559674317
Minimum Sample Size (1 sided test)29.7981052967856






Minimum Sample Size (infinite population)
Population Sizeinfinite
Margin of Error0.1
Confidence0.9
Power0.5
Response Distribution (Proportion)0.5
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)67.6385863523853
Minimum Sample Size (1 sided test)41.0593603787454

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size (infinite population) \tabularnewline
Population Size & infinite \tabularnewline
Margin of Error & 0.1 \tabularnewline
Confidence & 0.9 \tabularnewline
Power & 0.5 \tabularnewline
Response Distribution (Proportion) & 0.5 \tabularnewline
z(alpha/2) + z(beta) & 1.64485362695147 \tabularnewline
z(alpha) + z(beta) & 1.2815515655446 \tabularnewline
Minimum Sample Size (2 sided test) & 67.6385863523853 \tabularnewline
Minimum Sample Size (1 sided test) & 41.0593603787454 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205014&T=2

[TABLE]
[ROW][C]Minimum Sample Size (infinite population)[/C][/ROW]
[ROW][C]Population Size[/C][C]infinite[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.1[/C][/ROW]
[ROW][C]Confidence[/C][C]0.9[/C][/ROW]
[ROW][C]Power[/C][C]0.5[/C][/ROW]
[ROW][C]Response Distribution (Proportion)[/C][C]0.5[/C][/ROW]
[ROW][C]z(alpha/2) + z(beta)[/C][C]1.64485362695147[/C][/ROW]
[ROW][C]z(alpha) + z(beta)[/C][C]1.2815515655446[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]67.6385863523853[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]41.0593603787454[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205014&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205014&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Minimum Sample Size (infinite population)
Population Sizeinfinite
Margin of Error0.1
Confidence0.9
Power0.5
Response Distribution (Proportion)0.5
z(alpha/2) + z(beta)1.64485362695147
z(alpha) + z(beta)1.2815515655446
Minimum Sample Size (2 sided test)67.6385863523853
Minimum Sample Size (1 sided test)41.0593603787454


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 106 ; par2 = 0.1 ; par3 = 0.90 ; par4 = 0.50 ; par5 = 0.50 ;
Parameters (R input):
par1 = 106 ; par2 = 0.1 ; par3 = 0.90 ; par4 = 0.50 ; par5 = 0.50 ;
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)
par5 <- as.numeric(par5)
(z <- abs(qnorm((1-par3)/2)) + abs(qnorm(1-par5)))
(z1 <- abs(qnorm(1-par3)) + abs(qnorm(1-par5)))
dum <- z*z * par4*(1-par4)
dum1 <- z1*z1 * par4*(1-par4)
par22 <- par2*par2
npop <- array(NA, 200)
ppop <- array(NA, 200)
for (i in 1:200)
{
ppop[i] <- i * 100
npop[i] <- ppop[i] * dum / (dum + (ppop[i]-1)*par22)
}
bitmap(file='pic1.png')
plot(ppop,npop, xlab='population size', ylab='sample size (2 sided test)', main = paste('Confidence',par3))
dumtext <- paste('Margin of error = ',par2)
dumtext <- paste(dumtext,' Response Rate = ')
dumtext <- paste(dumtext, par4)
mtext(dumtext)
grid()
dev.off()
(n <- par1 * dum / (dum + (par1-1)*par22))
(n1 <- par1 * dum1 / (dum1 + (par1-1)*par22))
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Population Size',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Margin of Error',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Power',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Response Distribution (Proportion)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'z(alpha/2) + z(beta)',header=TRUE)
a<-table.element(a,z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'z(alpha) + z(beta)',header=TRUE)
a<-table.element(a,z1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (2 sided test)',header=TRUE)
a<-table.element(a,n)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (1 sided test)',header=TRUE)
a<-table.element(a,n1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
(n <- dum / par22)
(n1 <- dum1 / par22)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (infinite population)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Population Size',header=TRUE)
a<-table.element(a,'infinite')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Margin of Error',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Power',header=TRUE)
a<-table.element(a,par5)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Response Distribution (Proportion)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'z(alpha/2) + z(beta)',header=TRUE)
a<-table.element(a,z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'z(alpha) + z(beta)',header=TRUE)
a<-table.element(a,z1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (2 sided test)',header=TRUE)
a<-table.element(a,n)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (1 sided test)',header=TRUE)
a<-table.element(a,n1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')