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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_cdfnorm.wasp

Title produced by software

Normal CDF

Date of computation

Wed, 13 Oct 2010 16:49:16 +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/t1286988503qnumdqoti17mxzm.htm/, Retrieved Mon, 06 May 2024 12:40:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=83166, Retrieved Mon, 06 May 2024 12:40:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

141

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

-       [Normal CDF] [Chapter 5 - Slide 17] [2010-10-13 16:49:16] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	0 seconds
R Server	'George Udny Yule' @ 72.249.76.132

\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 & 0 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83166&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83166&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83166&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	0 seconds
R Server	'George Udny Yule' @ 72.249.76.132

Normal Density Function
mean	0
standard deviation	1
Area under Normal Density
q value	1.96
z value	1.96
P[X <= z]	0.97500210485178
P[X > z]	0.0249978951482204
P[-\|z\| <= X <= \|z\|]	0.95000420970356
P[-\|z\| <= X] + P[X > \|z\|]	0.0499957902964407
Quantiles
q given P[X <= q] = 0.975	1.95996398454005
q given P[X > q] = 0.975	-1.95996398454005
\|q\| given P[-\|q\| <= X] + P[X > \|q\|] = 0.025	2.24140272760494

\begin{tabular}{lllllllll}
\hline
Normal Density Function \tabularnewline
mean & 0 \tabularnewline
standard deviation & 1 \tabularnewline
Area under Normal Density \tabularnewline
q value & 1.96 \tabularnewline
z value & 1.96 \tabularnewline
P[X <= z] & 0.97500210485178 \tabularnewline
P[X > z] & 0.0249978951482204 \tabularnewline
P[-|z| <= X <= |z|] & 0.95000420970356 \tabularnewline
P[-|z| <= X] + P[X > |z|] & 0.0499957902964407 \tabularnewline
Quantiles \tabularnewline
q given P[X <= q] = 0.975 & 1.95996398454005 \tabularnewline
q given P[X > q] = 0.975 & -1.95996398454005 \tabularnewline
|q| given P[-|q| <= X] + P[X > |q|] = 0.025 & 2.24140272760494 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=83166&T=1

[TABLE]
[ROW][C]Normal Density Function[/C][/ROW]
[ROW][C]mean[/C][C]0[/C][/ROW]
[ROW][C]standard deviation[/C][C]1[/C][/ROW]
[C]Area under Normal Density[/C][/ROW]
[ROW][C]q value[/C][C]1.96[/C][/ROW]
[ROW][C]z value[/C][C]1.96[/C][/ROW]
[ROW][C]P[X <= z][/C][C]0.97500210485178[/C][/ROW]
[ROW][C]P[X > z][/C][C]0.0249978951482204[/C][/ROW]
[ROW][C]P[-|z| <= X <= |z|][/C][C]0.95000420970356[/C][/ROW]
[ROW][C]P[-|z| <= X] + P[X > |z|][/C][C]0.0499957902964407[/C][/ROW]
[C]Quantiles[/C][/ROW]
[ROW][C]q given P[X <= q] = 0.975[/C][C]1.95996398454005[/C][/ROW]
[ROW][C]q given P[X > q] = 0.975[/C][C]-1.95996398454005[/C][/ROW]
[ROW][C]|q| given P[-|q| <= X] + P[X > |q|] = 0.025[/C][C]2.24140272760494[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=83166&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=83166&T=1

As an alternative you can also use a QR Code:

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

Normal Density Function
mean	0
standard deviation	1
Area under Normal Density
q value	1.96
z value	1.96
P[X <= z]	0.97500210485178
P[X > z]	0.0249978951482204
P[-\|z\| <= X <= \|z\|]	0.95000420970356
P[-\|z\| <= X] + P[X > \|z\|]	0.0499957902964407
Quantiles
q given P[X <= q] = 0.975	1.95996398454005
q given P[X > q] = 0.975	-1.95996398454005
\|q\| given P[-\|q\| <= X] + P[X > \|q\|] = 0.025	2.24140272760494

Parameters (Session):

par1 = 1.96 ; par2 = 0 ; par3 = 1 ; par4 = 0.975 ;

Parameters (R input):

par1 = 1.96 ; par2 = 0 ; par3 = 1 ; par4 = 0.975 ;

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

par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
if (par3 <= 0) par3 = 1
if (par1 != '') {
par1 <- as.numeric(par1)
oldpar1 <- par1
par1 <- (par1 - par2) / par3
r <- pnorm(par1)
ru <- pnorm(par1,lower.tail=F)
rb <- pnorm(abs(par1)) - pnorm(-abs(par1))
}
r
ru
rb
if (par4 != '') {
par4 <- as.numeric(par4)
q1 <- qnorm(par4,par2,par3)
q1u <- qnorm(par4,par2,par3,lower.tail=F)
q2 <- qnorm((1-par4)/2,par2,par3,lower.tail=F)
}
q1
q1u
q2
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Normal Density Function',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'mean',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'standard deviation',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
if (par1 != '') {
a<-table.element(a,'Area under Normal Density',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'q value',header=TRUE)
a<-table.element(a,oldpar1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'z value',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X <= z]',header=TRUE)
a<-table.element(a,r)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[X > z]',header=TRUE)
a<-table.element(a,ru)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[-|z| <= X <= |z|]',header=TRUE)
a<-table.element(a,rb)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'P[-|z| <= X] + P[X > |z|]',header=TRUE)
a<-table.element(a,1-rb)
a<-table.row.end(a)
}
if (par4 != '') {
a<-table.element(a,'Quantiles',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
dum <- paste('q given P[X <= q] = ',par4,sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,q1)
a<-table.row.end(a)
a<-table.row.start(a)
dum <- paste('q given P[X > q] = ',par4,sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,q1u)
a<-table.row.end(a)
a<-table.row.start(a)
dum <- paste('|q| given P[-|q| <= X] + P[X > |q|] = ',1-par4,sep='')
a<-table.element(a,dum,header=TRUE)
a<-table.element(a,q2)
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')

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Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code