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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationMon, 03 Mar 2008 12:58:12 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Mar/03/t12045744213g7bgqjahfg50q7.htm/, Retrieved Sun, 19 May 2024 02:47:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=9961, Retrieved Sun, 19 May 2024 02:47:37 +0000
QR Codes:

Original text written by user:spearman rank and Pearson moment calculations for correlation
IsPrivate?No (this computation is public)
User-defined keywordsAUC, Cmax, percent change absolute lymphocyte count
Estimated Impact173

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [PK/PD correlation] [2008-03-03 19:58:12] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
30.188
25.981
111.474
331.475
11.839
13.731
267.957
23.930
1.534
243.385
214.884
282.884
266.587
147.761
776.426
81.833
Dataseries Y:
Download CSV
Histogram 
-33
-38
-34
-25
-20
-31
-67
-14
-39
-37
-33
-25
-40
-41
-28
-7

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=9961&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=9961&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=9961&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 compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean176.9918125-32
Biased Variance36452.8842070274168.375
Biased Standard Deviation190.92638426112712.9759392723610
Covariance-310.268533333333
Correlation-0.117409775262630
Determination0.0137850553272212
T-Test-0.442366758813468
p-value (2 sided)0.66498122487935
p-value (1 sided)0.332490612439675
Degrees of Freedom14
Number of Observations16

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 176.9918125 & -32 \tabularnewline
Biased Variance & 36452.8842070274 & 168.375 \tabularnewline
Biased Standard Deviation & 190.926384261127 & 12.9759392723610 \tabularnewline
Covariance & -310.268533333333 \tabularnewline
Correlation & -0.117409775262630 \tabularnewline
Determination & 0.0137850553272212 \tabularnewline
T-Test & -0.442366758813468 \tabularnewline
p-value (2 sided) & 0.66498122487935 \tabularnewline
p-value (1 sided) & 0.332490612439675 \tabularnewline
Degrees of Freedom & 14 \tabularnewline
Number of Observations & 16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=9961&T=1

[TABLE]
[ROW][C]Pearson Product Moment Correlation - Ungrouped Data[/C][/ROW]
[ROW][C]Statistic[/C][C]Variable X[/C][C]Variable Y[/C][/ROW]
[ROW][C]Mean[/C][C]176.9918125[/C][C]-32[/C][/ROW]
[ROW][C]Biased Variance[/C][C]36452.8842070274[/C][C]168.375[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]190.926384261127[/C][C]12.9759392723610[/C][/ROW]
[ROW][C]Covariance[/C][C]-310.268533333333[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.117409775262630[/C][/ROW]
[ROW][C]Determination[/C][C]0.0137850553272212[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.442366758813468[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.66498122487935[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.332490612439675[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]14[/C][/ROW]
[ROW][C]Number of Observations[/C][C]16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=9961&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=9961&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:

Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean176.9918125-32
Biased Variance36452.8842070274168.375
Biased Standard Deviation190.92638426112712.9759392723610
Covariance-310.268533333333
Correlation-0.117409775262630
Determination0.0137850553272212
T-Test-0.442366758813468
p-value (2 sided)0.66498122487935
p-value (1 sided)0.332490612439675
Degrees of Freedom14
Number of Observations16


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
Parameters (R input):
R code (references can be found in the software module):
bitmap(file='test1.png')
histx <- hist(x, plot=FALSE)
histy <- hist(y, plot=FALSE)
maxcounts <- max(c(histx$counts, histx$counts))
xrange <- c(min(x),max(x))
yrange <- c(min(y),max(y))
nf <- layout(matrix(c(2,0,1,3),2,2,byrow=TRUE), c(3,1), c(1,3), TRUE)
par(mar=c(4,4,1,1))
plot(x, y, xlim=xrange, ylim=yrange, xlab=xlab, ylab=ylab)
par(mar=c(0,4,1,1))
barplot(histx$counts, axes=FALSE, ylim=c(0, maxcounts), space=0)
par(mar=c(4,0,1,1))
barplot(histy$counts, axes=FALSE, xlim=c(0, maxcounts), space=0, horiz=TRUE)
dev.off()
lx = length(x)
makebiased = (lx-1)/lx
varx = var(x)*makebiased
vary = var(y)*makebiased
corxy <- cor.test(x,y,method='pearson')
cxy <- as.matrix(corxy$estimate)[1,1]
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Pearson Product Moment Correlation - Ungrouped Data',3,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Statistic',1,TRUE)
a<-table.element(a,'Variable X',1,TRUE)
a<-table.element(a,'Variable Y',1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('arithmetic_mean.htm','Mean',''),header=TRUE)
a<-table.element(a,mean(x))
a<-table.element(a,mean(y))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased.htm','Biased Variance',''),header=TRUE)
a<-table.element(a,varx)
a<-table.element(a,vary)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('biased1.htm','Biased Standard Deviation',''),header=TRUE)
a<-table.element(a,sqrt(varx))
a<-table.element(a,sqrt(vary))
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('covariance.htm','Covariance',''),header=TRUE)
a<-table.element(a,cov(x,y),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('pearson_correlation.htm','Correlation',''),header=TRUE)
a<-table.element(a,cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('coeff_of_determination.htm','Determination',''),header=TRUE)
a<-table.element(a,cxy*cxy,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,hyperlink('ttest_statistic.htm','T-Test',''),header=TRUE)
a<-table.element(a,as.matrix(corxy$statistic)[1,1],2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (2 sided)',header=TRUE)
a<-table.element(a,(p2 <- as.matrix(corxy$p.value)[1,1]),2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value (1 sided)',header=TRUE)
a<-table.element(a,p2/2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degrees of Freedom',header=TRUE)
a<-table.element(a,lx-2,2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Number of Observations',header=TRUE)
a<-table.element(a,lx,2)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')