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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 computationFri, 14 Oct 2011 12:47:58 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Oct/14/t1318611022lt7q3el92eeb3cp.htm/, Retrieved Thu, 16 May 2024 09:50:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=129589, Retrieved Thu, 16 May 2024 09:50:53 +0000
QR Codes:

Original text written by user:patient data
IsPrivate?No (this computation is public)
User-defined keywordsrecognition, verbal memory
Estimated Impact145

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [mixed neurologica...] [2011-10-14 16:47:58] [b41ec377548f28d2f110b9f20a40ff73] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6
7
7
6
8
10
1
10
11
1
1
9
9
3
12
12
12
15
12
10
8
6
7
12
11
6
8
13
5
5
10
3
14
5
4
5
6
3
6
11
10
12
8
9
5
2
6
12
8
12
13
10
8
Dataseries Y:
Download CSV
Histogram 
-5
-4
-3
-2.5
-2.5
-2
-2
-1.5
-1.5
-1.5
-1.5
-1
-1
-0.5
-0.5
-0.5
-0.5
-0.5
0
0.5
0.5
-3
-2.5
-1.5
-1.5
0
-2.5
-3
-2.5
-1
-0.5
-2.5
-1
-1.5
0
-3
-1.5
-3.5
-2
-1.5
-1
-0.5
0
-0.5
-2.5
-2
-3.5
-1
-1
-0.5
1
0.5
0

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129589&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129589&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129589&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 time1 seconds
R Server'George Udny Yule' @ yule.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean8.0188679245283-1.43396226415094
Biased Variance12.58454966180141.57582769668921
Biased Standard Deviation3.547470882445881.25531975874245
Covariance1.79680696661829
Correlation0.395872827166793
Determination0.156715295289029
T-Test3.07860286414447
p-value (2 sided)0.00334434390243765
p-value (1 sided)0.00167217195121883
Degrees of Freedom51
Number of Observations53

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 8.0188679245283 & -1.43396226415094 \tabularnewline
Biased Variance & 12.5845496618014 & 1.57582769668921 \tabularnewline
Biased Standard Deviation & 3.54747088244588 & 1.25531975874245 \tabularnewline
Covariance & 1.79680696661829 \tabularnewline
Correlation & 0.395872827166793 \tabularnewline
Determination & 0.156715295289029 \tabularnewline
T-Test & 3.07860286414447 \tabularnewline
p-value (2 sided) & 0.00334434390243765 \tabularnewline
p-value (1 sided) & 0.00167217195121883 \tabularnewline
Degrees of Freedom & 51 \tabularnewline
Number of Observations & 53 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=129589&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]8.0188679245283[/C][C]-1.43396226415094[/C][/ROW]
[ROW][C]Biased Variance[/C][C]12.5845496618014[/C][C]1.57582769668921[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]3.54747088244588[/C][C]1.25531975874245[/C][/ROW]
[ROW][C]Covariance[/C][C]1.79680696661829[/C][/ROW]
[ROW][C]Correlation[/C][C]0.395872827166793[/C][/ROW]
[ROW][C]Determination[/C][C]0.156715295289029[/C][/ROW]
[ROW][C]T-Test[/C][C]3.07860286414447[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00334434390243765[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00167217195121883[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]51[/C][/ROW]
[ROW][C]Number of Observations[/C][C]53[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=129589&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=129589&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
Mean8.0188679245283-1.43396226415094
Biased Variance12.58454966180141.57582769668921
Biased Standard Deviation3.547470882445881.25531975874245
Covariance1.79680696661829
Correlation0.395872827166793
Determination0.156715295289029
T-Test3.07860286414447
p-value (2 sided)0.00334434390243765
p-value (1 sided)0.00167217195121883
Degrees of Freedom51
Number of Observations53


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')