Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_normalarea.wasp

Title produced by software

Area under Normal Density

Date of computation

Wed, 13 Oct 2010 16:33:23 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Oct/13/t1286987523bnpcuo5bp7ee8cc.htm/, Retrieved Mon, 06 May 2024 19:48:15 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83158, Retrieved Mon, 06 May 2024 19:48:15 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

109

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Area under Normal Density] [Chapter 5 - Slide 12] [2010-10-13 16:33:23] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]

Feedback Forum

Post a new message

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83158&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]1 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=83158&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83158&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'RServer@AstonUniversity' @ vre.aston.ac.uk

Area under Normal Density Function
lower value (L)	-1.96
upper value (U)	1.96
mean	0
standard deviation	1
P[X <= L]	0.0249978951482204
P[X <= U]	0.97500210485178
P[L <= X < U]	0.95000420970356
1 - P[L <= X < U]	0.049995790296441

\begin{tabular}{lllllllll}
\hline
Area under Normal Density Function \tabularnewline
lower value (L) & -1.96 \tabularnewline
upper value (U) & 1.96 \tabularnewline
mean & 0 \tabularnewline
standard deviation & 1 \tabularnewline
P[X <= L] & 0.0249978951482204 \tabularnewline
P[X <= U] & 0.97500210485178 \tabularnewline
P[L <= X < U] & 0.95000420970356 \tabularnewline
1 - P[L <= X < U] & 0.049995790296441 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83158&T=1

[TABLE]
[ROW][C]Area under Normal Density Function[/C][/ROW]
[ROW][C]lower value (L)[/C][C]-1.96[/C][/ROW]
[ROW][C]upper value (U)[/C][C]1.96[/C][/ROW]
[ROW][C]mean[/C][C]0[/C][/ROW]
[ROW][C]standard deviation[/C][C]1[/C][/ROW]
[ROW][C]P[X <= L][/C][C]0.0249978951482204[/C][/ROW]
[ROW][C]P[X <= U][/C][C]0.97500210485178[/C][/ROW]
[ROW][C]P[L <= X < U][/C][C]0.95000420970356[/C][/ROW]
[ROW][C]1 - P[L <= X < U][/C][C]0.049995790296441[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83158&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83158&T=1

As an alternative you can also use a QR Code:

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

Area under Normal Density Function
lower value (L)	-1.96
upper value (U)	1.96
mean	0
standard deviation	1
P[X <= L]	0.0249978951482204
P[X <= U]	0.97500210485178
P[L <= X < U]	0.95000420970356
1 - P[L <= X < U]	0.049995790296441

Parameters (Session):

par1 = -1.96 ; par2 = 1.96 ; par3 = 0 ; par4 = 1 ;

Parameters (R input):

par1 = -1.96 ; par2 = 1.96 ; par3 = 0 ; par4 = 1 ;

R code (references can be found in the software module):

if (par1 == '') par1 <- -Inf else par1 <- as.numeric(par1)
if (par2 == '') par2 <- Inf else par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par4 <= 0) par4 = 1
(pl <- pnorm(par1,par3,par4))
(pu <- pnorm(par2,par3,par4))
(pbetween <- pu - pl)
(poutside <- 1 - pbetween)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Area under Normal Density Function',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'lower value (L)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'upper value (U)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X <= L]',header=TRUE)
a<-table.element(a,pl)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X <= U]',header=TRUE)
a<-table.element(a,pu)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[L <= X < U]',header=TRUE)
a<-table.element(a,pbetween)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'1 - P[L <= X < U]',header=TRUE)
a<-table.element(a,poutside)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code