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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_samplenorm.wasp
Title produced by softwareMinimum Sample Size - Testing Mean
Date of computationSun, 24 Oct 2010 11:23:12 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/24/t1287919374p0hk26maxvi50t4.htm/, Retrieved Fri, 09 May 2025 10:40:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=87803, Retrieved Fri, 09 May 2025 10:40:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact394

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Factor Analysis] [Sleep in Mammals ...] [2010-03-21 11:39:53] [b98453cac15ba1066b407e146608df68]
- RMPD  [Testing Mean with unknown Variance - Critical Value] [Hypothesis Test a...] [2010-10-19 11:45:26] [b98453cac15ba1066b407e146608df68]
-   PD    [Testing Mean with unknown Variance - Critical Value] [Vraag 4: Male ] [2010-10-22 09:14:17] [74deae64b71f9d77c839af86f7c687b5]
- RMPD      [Testing Mean with known Variance - Sample Size] [Vraag 9: Minimum ...] [2010-10-22 12:33:36] [74deae64b71f9d77c839af86f7c687b5]
F RMP           [Minimum Sample Size - Testing Mean] [WS4 Q11] [2010-10-24 11:23:12] [aa6b599ccd367bc74fed0d8f67004a46] [Current]
-   P             [Minimum Sample Size - Testing Mean] [] [2010-10-26 19:39:22] [b64b273f7a25c5bb07ff2f026b8ce952]
-                   [Minimum Sample Size - Testing Mean] [] [2010-10-26 19:42:01] [b64b273f7a25c5bb07ff2f026b8ce952]
- R P             [Minimum Sample Size - Testing Mean] [Workshop 1 part 1] [2010-11-11 14:34:09] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 Part 1] [2010-11-11 14:54:53] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 part 1] [2010-11-11 14:57:43] [b9eaf9df71639055b3e2389f5099ca2c]
- RMPD            [Testing Mean with unknown Variance - Critical Value] [Workshop 1 part 1] [2010-11-11 15:01:10] [b9eaf9df71639055b3e2389f5099ca2c]
-                 [Minimum Sample Size - Testing Mean] [Workshop 1] [2010-11-11 16:20:53] [eb6e95800005ec22b7fd76eead8d8a59]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-10-24 13:12:17] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Minimum Sample Size - Testing Mean] [] [2011-10-24 13:12:44] [85a41d310e9fcdbad32d999510017dfa]
- R P             [Minimum Sample Size - Testing Mean] [taak 11] [2011-10-25 12:06:48] [380049693c521f4999989215fb37aeca]
-   P               [Minimum Sample Size - Testing Mean] [] [2011-10-25 16:40:14] [493236dcc414c5f9e1823f06b33a5ad6]
-  M                  [Minimum Sample Size - Testing Mean] [] [2011-11-08 17:36:38] [22f8bc702946f784836540059d0d9516]
-   P               [Minimum Sample Size - Testing Mean] [W4-Q11] [2011-10-25 19:48:37] [ab11d59973a0ec4be849e25906c4cdbf]
-   P               [Minimum Sample Size - Testing Mean] [] [2011-10-25 20:50:40] [74be16979710d4c4e7c6647856088456]
- R P             [Minimum Sample Size - Testing Mean] [Q11] [2012-10-23 17:08:38] [74be16979710d4c4e7c6647856088456]
- RMPD              [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q1] [2012-10-29 21:27:39] [77d02b0cf2cecd023ffa9a06f056f18d]
- R  D                [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q2] [2012-10-29 21:32:29] [77d02b0cf2cecd023ffa9a06f056f18d]
-    D                  [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q3] [2012-10-29 21:36:10] [77d02b0cf2cecd023ffa9a06f056f18d]
- RMPD                  [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q6] [2012-10-29 21:53:23] [77d02b0cf2cecd023ffa9a06f056f18d]
- R P                     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q6 - deel 2] [2012-10-29 22:00:33] [77d02b0cf2cecd023ffa9a06f056f18d]
-    D                      [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q7 deel 1] [2012-10-29 22:07:14] [77d02b0cf2cecd023ffa9a06f056f18d]
-                             [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [WS5 Q7 deel 2] [2012-10-29 22:10:21] [77d02b0cf2cecd023ffa9a06f056f18d]
-   P                           [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 7b] [2012-10-31 02:13:22] [3ae574fa1d645ef9b19cadb6c0dbd022]
- RM D                        [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q5 deel 1] [2012-10-29 22:16:21] [77d02b0cf2cecd023ffa9a06f056f18d]
- R  D                          [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q5 deel 2] [2012-10-29 22:18:34] [77d02b0cf2cecd023ffa9a06f056f18d]
-    D                            [Paired and Unpaired Two Samples Tests about the Mean] [WS5 Q5 deel 3] [2012-10-29 22:22:19] [77d02b0cf2cecd023ffa9a06f056f18d]
- RM D                            [Two-Way ANOVA] [WS5 Q8] [2012-10-29 22:30:47] [77d02b0cf2cecd023ffa9a06f056f18d]
- R P                               [Two-Way ANOVA] [W5 - Vraag 8] [2012-10-31 00:35:54] [3ae574fa1d645ef9b19cadb6c0dbd022]
- R P                       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6d] [2012-10-31 00:26:50] [3ae574fa1d645ef9b19cadb6c0dbd022]
- R P                       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6e] [2012-10-31 00:27:57] [3ae574fa1d645ef9b19cadb6c0dbd022]
- R  D                        [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 7] [2012-10-31 00:33:26] [3ae574fa1d645ef9b19cadb6c0dbd022]
-   P                       [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6f] [2012-10-31 02:04:14] [3ae574fa1d645ef9b19cadb6c0dbd022]
-   P                     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6b] [2012-10-31 00:23:02] [3ae574fa1d645ef9b19cadb6c0dbd022]
-   P                     [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6c] [2012-10-31 00:24:13] [3ae574fa1d645ef9b19cadb6c0dbd022]
-                     [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 1] [2012-10-30 23:48:02] [3ae574fa1d645ef9b19cadb6c0dbd022]
- R  D                  [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 2] [2012-10-30 23:54:26] [3ae574fa1d645ef9b19cadb6c0dbd022]
-    D                    [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 3] [2012-10-30 23:55:59] [3ae574fa1d645ef9b19cadb6c0dbd022]
-    D                      [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 5a] [2012-10-31 00:01:30] [3ae574fa1d645ef9b19cadb6c0dbd022]
-    D                        [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 5b] [2012-10-31 00:03:43] [3ae574fa1d645ef9b19cadb6c0dbd022]
-    D                          [Paired and Unpaired Two Samples Tests about the Mean] [W5 - Vraag 5c] [2012-10-31 00:06:31] [3ae574fa1d645ef9b19cadb6c0dbd022]
- RM D                            [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6a] [2012-10-31 00:09:29] [3ae574fa1d645ef9b19cadb6c0dbd022]
- RM                                [One-Way-Between-Groups ANOVA- Free Statistics Software (Calculator)] [W5 - Vraag 6a] [2012-10-31 00:10:53] [3ae574fa1d645ef9b19cadb6c0dbd022]
- RMP             [Testing Mean with known Variance - Critical Value] [ws4] [2012-10-23 17:49:34] [e6a888b30739f946c01ecef17ea767f7]
- RMP             [Testing Mean with known Variance - p-value] [ws4] [2012-10-23 17:50:22] [e6a888b30739f946c01ecef17ea767f7]
- R                 [Testing Mean with known Variance - p-value] [ws4] [2012-10-23 17:50:51] [e6a888b30739f946c01ecef17ea767f7]
- RM              [Minimum Sample Size - Testing Mean] [] [2012-10-23 18:09:22] [74be16979710d4c4e7c6647856088456]
Feedback Forum
2010-11-02 23:43:45 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De student heeft hier de verkeerde gegevens ingegeven. Zo had er bij population variance 13 moeten staan.

De oplossing voor de minimale steekproef voor de 2-zijdige test had dan 65 moeten zijn en voor de 1-zijdige test 60.

Post a new message

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87803&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87803&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87803&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'RServer@AstonUniversity' @ vre.aston.ac.uk






Minimum Sample Size
Population Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)90.995060936139
Minimum Sample Size (1 sided test)88.622121879856

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size \tabularnewline
Population Size & 105 \tabularnewline
Margin of Error & 0.05 \tabularnewline
Confidence & 0.95 \tabularnewline
Power & 0.95 \tabularnewline
Population Variance & 0.13 \tabularnewline
z(alpha/2) + z(beta) & 3.60481761149153 \tabularnewline
z(alpha) + z(beta) & 3.28970725390294 \tabularnewline
Minimum Sample Size (2 sided test) & 90.995060936139 \tabularnewline
Minimum Sample Size (1 sided test) & 88.622121879856 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87803&T=1

[TABLE]
[ROW][C]Minimum Sample Size[/C][/ROW]
[ROW][C]Population Size[/C][C]105[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.05[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Power[/C][C]0.95[/C][/ROW]
[ROW][C]Population Variance[/C][C]0.13[/C][/ROW]
[ROW][C]z(alpha/2) + z(beta)[/C][C]3.60481761149153[/C][/ROW]
[ROW][C]z(alpha) + z(beta)[/C][C]3.28970725390294[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]90.995060936139[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]88.622121879856[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87803&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87803&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 Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)90.995060936139
Minimum Sample Size (1 sided test)88.622121879856






Minimum Sample Size (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)675.724920630212
Minimum Sample Size (1 sided test)562.753038451846

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size (for Infinite Populations) \tabularnewline
Population Size & infinite \tabularnewline
Margin of Error & 0.05 \tabularnewline
Confidence & 0.95 \tabularnewline
Power & 0.95 \tabularnewline
Population Variance & 0.13 \tabularnewline
z(alpha/2) + z(beta) & 3.60481761149153 \tabularnewline
z(alpha) + z(beta) & 3.28970725390294 \tabularnewline
Minimum Sample Size (2 sided test) & 675.724920630212 \tabularnewline
Minimum Sample Size (1 sided test) & 562.753038451846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87803&T=2

[TABLE]
[ROW][C]Minimum Sample Size (for Infinite Populations)[/C][/ROW]
[ROW][C]Population Size[/C][C]infinite[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.05[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Power[/C][C]0.95[/C][/ROW]
[ROW][C]Population Variance[/C][C]0.13[/C][/ROW]
[ROW][C]z(alpha/2) + z(beta)[/C][C]3.60481761149153[/C][/ROW]
[ROW][C]z(alpha) + z(beta)[/C][C]3.28970725390294[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]675.724920630212[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]562.753038451846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87803&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87803&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 (for Infinite Populations)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Variance0.13
z(alpha/2) + z(beta)3.60481761149153
z(alpha) + z(beta)3.28970725390294
Minimum Sample Size (2 sided test)675.724920630212
Minimum Sample Size (1 sided test)562.753038451846






Minimum Sample Size (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.64863805881815
t(alpha) + t(beta)3.32486061624796
Minimum Sample Size (2 sided test)91.2857677403267
Minimum Sample Size (1 sided test)88.9138371404494

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size (Unknown Population Variance) \tabularnewline
Population Size & 105 \tabularnewline
Margin of Error & 0.05 \tabularnewline
Confidence & 0.95 \tabularnewline
Power & 0.95 \tabularnewline
Population Variance & unknown \tabularnewline
t(alpha/2) + t(beta) & 3.64863805881815 \tabularnewline
t(alpha) + t(beta) & 3.32486061624796 \tabularnewline
Minimum Sample Size (2 sided test) & 91.2857677403267 \tabularnewline
Minimum Sample Size (1 sided test) & 88.9138371404494 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87803&T=3

[TABLE]
[ROW][C]Minimum Sample Size (Unknown Population Variance)[/C][/ROW]
[ROW][C]Population Size[/C][C]105[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.05[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Power[/C][C]0.95[/C][/ROW]
[ROW][C]Population Variance[/C][C]unknown[/C][/ROW]
[ROW][C]t(alpha/2) + t(beta)[/C][C]3.64863805881815[/C][/ROW]
[ROW][C]t(alpha) + t(beta)[/C][C]3.32486061624796[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]91.2857677403267[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]88.9138371404494[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87803&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87803&T=3

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 (Unknown Population Variance)
Population Size105
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.64863805881815
t(alpha) + t(beta)3.32486061624796
Minimum Sample Size (2 sided test)91.2857677403267
Minimum Sample Size (1 sided test)88.9138371404494






Minimum Sample Size(Infinite Population, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.6106012072724
t(alpha) + t(beta)3.29514131593062
Minimum Sample Size (2 sided test)677.89493605376
Minimum Sample Size (1 sided test)564.613727181554

\begin{tabular}{lllllllll}
\hline
Minimum Sample Size(Infinite Population, Unknown Population Variance) \tabularnewline
Population Size & infinite \tabularnewline
Margin of Error & 0.05 \tabularnewline
Confidence & 0.95 \tabularnewline
Power & 0.95 \tabularnewline
Population Variance & unknown \tabularnewline
t(alpha/2) + t(beta) & 3.6106012072724 \tabularnewline
t(alpha) + t(beta) & 3.29514131593062 \tabularnewline
Minimum Sample Size (2 sided test) & 677.89493605376 \tabularnewline
Minimum Sample Size (1 sided test) & 564.613727181554 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=87803&T=4

[TABLE]
[ROW][C]Minimum Sample Size(Infinite Population, Unknown Population Variance)[/C][/ROW]
[ROW][C]Population Size[/C][C]infinite[/C][/ROW]
[ROW][C]Margin of Error[/C][C]0.05[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Power[/C][C]0.95[/C][/ROW]
[ROW][C]Population Variance[/C][C]unknown[/C][/ROW]
[ROW][C]t(alpha/2) + t(beta)[/C][C]3.6106012072724[/C][/ROW]
[ROW][C]t(alpha) + t(beta)[/C][C]3.29514131593062[/C][/ROW]
[ROW][C]Minimum Sample Size (2 sided test)[/C][C]677.89493605376[/C][/ROW]
[ROW][C]Minimum Sample Size (1 sided test)[/C][C]564.613727181554[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=87803&T=4

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=87803&T=4

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, Unknown Population Variance)
Population Sizeinfinite
Margin of Error0.05
Confidence0.95
Power0.95
Population Varianceunknown
t(alpha/2) + t(beta)3.6106012072724
t(alpha) + t(beta)3.29514131593062
Minimum Sample Size (2 sided test)677.89493605376
Minimum Sample Size (1 sided test)564.613727181554


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 105 ; par2 = 0.05 ; par3 = 0.95 ; par4 = 0.13 ; par5 = 0.95 ;
Parameters (R input):
par1 = 105 ; par2 = 0.05 ; par3 = 0.95 ; par4 = 0.13 ; par5 = 0.95 ;
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)))
z2 <- z*z
z2one <- z1*z1
z24 <- z2 * par4
z24one <- z2one * par4
npop <- array(NA, 200)
ppop <- array(NA, 200)
for (i in 1:200)
{
ppop[i] <- i * 100
npop[i] <- ppop[i] * z24 / (z24 + (ppop[i] - 1) * par2*par2)
}
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,' Population Var. = ')
dumtext <- paste(dumtext, par4)
mtext(dumtext)
grid()
dev.off()
par2sq <- par2 * par2
num <- par1 * z24
denom <- z24 + (par1 - 1) * par2sq
(n <- num/denom)
num1 <- par1 * z24one
denom1 <- z24one + (par1 - 1) * par2sq
(n1 <- num1/denom1)
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,'Population Variance',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')
(ni <- z24 / (par2sq))
(ni1 <- z24one / (par2sq))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (for Infinite Populations)',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,'Population Variance',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,ni)
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,ni1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')
(z <- abs(qt((1-par3)/2,n-1)) + abs(qt(1-par5,n-1)))
(z1 <- abs(qt(1-par3,n1-1)) + abs(qt(1-par5,n1-1)))
z2 <- z*z
z2one <- z1*z1
z24 <- z2 * par4
z24one <- z2one * par4
par2sq <- par2 * par2
num <- par1 * z24
denom <- z24 + (par1 - 1) * par2sq
(n <- num/denom)
num1 <- par1 * z24one
denom1 <- z24one + (par1 - 1) * par2sq
(n1 <- num1/denom1)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size (Unknown Population Variance)',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,'Population Variance',header=TRUE)
a<-table.element(a,'unknown')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t(alpha/2) + t(beta)',header=TRUE)
a<-table.element(a,z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t(alpha) + t(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')
(z <- abs(qt((1-par3)/2,ni-1)) + abs(qt(1-par5,ni-1)))
(z1 <- abs(qt(1-par3,ni1-1)) + abs(qt(1-par5,ni1-1)))
z2 <- z*z
z2one <- z1*z1
z24 <- z2 * par4
z24one <- z2one * par4
(ni <- z24 / (par2sq))
(ni1 <- z24one / (par2sq))
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Minimum Sample Size
(Infinite Population, Unknown Population Variance)',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,'Population Variance',header=TRUE)
a<-table.element(a,'unknown')
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t(alpha/2) + t(beta)',header=TRUE)
a<-table.element(a,z)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'t(alpha) + t(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,ni)
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,ni1)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')