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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_cdfnorm.wasp
Title produced by softwareNormal CDF
Date of computationSat, 19 Oct 2019 22:53:08 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2019/Oct/19/t1571518485o40rhkme7yfr2r3.htm/, Retrieved Fri, 03 May 2024 21:36:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=318927, Retrieved Fri, 03 May 2024 21:36:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact120

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Normal CDF] [] [2019-10-19 20:53:08] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318927&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=318927&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318927&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Normal Density Function
mean100.171
standard deviation1.11
Area under Normal Density
q value3
z value-87.5414414414414
P[X <= z]0
P[X > z]1
P[-|z| <= X <= |z|]1
P[-|z| <= X] + P[X > |z|]0
Quantiles
q given P[X <= q] = 0.95101.996787525916
q given P[X > q] = 0.9598.3452124740839
|q| given P[-|q| <= X] + P[X > |q|] = 0.05102.346560022839

\begin{tabular}{lllllllll}
\hline
Normal Density Function \tabularnewline
mean & 100.171 \tabularnewline
standard deviation & 1.11 \tabularnewline
Area under Normal Density \tabularnewline
q value & 3 \tabularnewline
z value & -87.5414414414414 \tabularnewline
P[X <= z] & 0 \tabularnewline
P[X > z] & 1 \tabularnewline
P[-|z| <= X <= |z|] & 1 \tabularnewline
P[-|z| <= X] + P[X > |z|] & 0 \tabularnewline
Quantiles \tabularnewline
q given P[X <= q] = 0.95 & 101.996787525916 \tabularnewline
q given P[X > q] = 0.95 & 98.3452124740839 \tabularnewline
|q| given P[-|q| <= X] + P[X > |q|] = 0.05 & 102.346560022839 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=318927&T=1

[TABLE]
[ROW][C]Normal Density Function[/C][/ROW]
[ROW][C]mean[/C][C]100.171[/C][/ROW]
[ROW][C]standard deviation[/C][C]1.11[/C][/ROW]
[C]Area under Normal Density[/C][/ROW]
[ROW][C]q value[/C][C]3[/C][/ROW]
[ROW][C]z value[/C][C]-87.5414414414414[/C][/ROW]
[ROW][C]P[X <= z][/C][C]0[/C][/ROW]
[ROW][C]P[X > z][/C][C]1[/C][/ROW]
[ROW][C]P[-|z| <= X <= |z|][/C][C]1[/C][/ROW]
[ROW][C]P[-|z| <= X] + P[X > |z|][/C][C]0[/C][/ROW]
[C]Quantiles[/C][/ROW]
[ROW][C]q given P[X <= q] = 0.95[/C][C]101.996787525916[/C][/ROW]
[ROW][C]q given P[X > q] = 0.95[/C][C]98.3452124740839[/C][/ROW]
[ROW][C]|q| given P[-|q| <= X] + P[X > |q|] = 0.05[/C][C]102.346560022839[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=318927&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=318927&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:

Normal Density Function
mean100.171
standard deviation1.11
Area under Normal Density
q value3
z value-87.5414414414414
P[X <= z]0
P[X > z]1
P[-|z| <= X <= |z|]1
P[-|z| <= X] + P[X > |z|]0
Quantiles
q given P[X <= q] = 0.95101.996787525916
q given P[X > q] = 0.9598.3452124740839
|q| given P[-|q| <= X] + P[X > |q|] = 0.05102.346560022839


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 3 ; par2 = 100.171 ; par3 = 1.11 ; par4 = 0.95 ;
Parameters (R input):
par1 = 3 ; par2 = 100.171 ; par3 = 1.11 ; par4 = 0.95 ;
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))
}
print(r)
print(ru)
print(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)
}
print(q1)
print(q1u)
print(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')