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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationWed, 22 Dec 2010 19:34:33 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/22/t1293046399zog163s0wb43w4k.htm/, Retrieved Sun, 05 May 2024 23:13:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114526, Retrieved Sun, 05 May 2024 23:13:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact125

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [sleep] [2010-12-22 19:34:33] [5d6b44265a1bea1cb58a5907cde468a5] [Current]
-         [Pearson Correlation] [] [2010-12-22 20:25:05] [adca540665f1dd1a5a4406fd7f55bdf4]
-    D    [Pearson Correlation] [] [2010-12-22 20:28:19] [82643889efeee0b265cd2ff213e5137b]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
-999,000
6,300
-999,000
-999,000
2,100
9,100
15,800
5,200
10,900
8,300
11,000
3,200
7,600
-999,000
6,300
8,600
6,600
9,500
4,800
12,000
-999,000
3,300
11,000
-999,000
4,700
-999,000
10,400
7,400
2,100
-999,000
-999,000
7,700
17,900
6,100
8,200
8,400
11,900
10,800
13,800
14,300
-999,000
15,200
10,000
11,900
6,500
7,500
-999,000
10,600
7,400
8,400
5,700
4,900
-999,000
3,200
-999,000
8,100
11,000
4,900
13,200
9,700
12,800
-999,000
Dataseries Y:
Download CSV
Histogram 
-999,000
2,000
-999,000
-999,000
1,8
0,700
3,900
1,000
3,600
1,400
1,500
0,700
2,700
-999,000
2,100
0,000
4,100
1,200
1,300
6,100
0,300
0,500
3,400
-999,000
1,500
-999,000
3,400
0,800
0,800
-999,000
-999,000
1,400
2,000
1,900
2,400
2,800
1,300
2,000
5,600
3,100
1,000
1,800
0,900
1,800
1,900
0,900
-999,000
2,600
2,400
1,200
0,900
0,500
-999,000
0,600
-999,000
2,200
2,300
0,500
2,600
0,600
6,600
-999,000

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114526&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]2 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=114526&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114526&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean-218.866129032258-191.764516129032
Biased Variance177521.107078564156392.635192508
Biased Standard Deviation421.332537407882395.465087197982
Covariance153663.90566367
Correlation0.907354224061972
Determination0.823291687923102
T-Test16.7195275519602
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom60
Number of Observations62

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & -218.866129032258 & -191.764516129032 \tabularnewline
Biased Variance & 177521.107078564 & 156392.635192508 \tabularnewline
Biased Standard Deviation & 421.332537407882 & 395.465087197982 \tabularnewline
Covariance & 153663.90566367 \tabularnewline
Correlation & 0.907354224061972 \tabularnewline
Determination & 0.823291687923102 \tabularnewline
T-Test & 16.7195275519602 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 60 \tabularnewline
Number of Observations & 62 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114526&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]-218.866129032258[/C][C]-191.764516129032[/C][/ROW]
[ROW][C]Biased Variance[/C][C]177521.107078564[/C][C]156392.635192508[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]421.332537407882[/C][C]395.465087197982[/C][/ROW]
[ROW][C]Covariance[/C][C]153663.90566367[/C][/ROW]
[ROW][C]Correlation[/C][C]0.907354224061972[/C][/ROW]
[ROW][C]Determination[/C][C]0.823291687923102[/C][/ROW]
[ROW][C]T-Test[/C][C]16.7195275519602[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]60[/C][/ROW]
[ROW][C]Number of Observations[/C][C]62[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114526&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114526&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
Mean-218.866129032258-191.764516129032
Biased Variance177521.107078564156392.635192508
Biased Standard Deviation421.332537407882395.465087197982
Covariance153663.90566367
Correlation0.907354224061972
Determination0.823291687923102
T-Test16.7195275519602
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom60
Number of Observations62


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')