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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 computationSat, 11 Dec 2010 16:32:21 +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/11/t1292085047jxsd2r4u6nim59k.htm/, Retrieved Mon, 06 May 2024 15:10:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108249, Retrieved Mon, 06 May 2024 15:10:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact119

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [pearson correlation ] [2010-12-11 16:32:21] [de8ccb310fbbdc3d90ae577a3e011cf9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1606
1634
2013
1654
1003
1029
1052
1653
1918
1926
1862
1816
1712
1646
1555
1402
1047
891
940
1372
2012
1879
1667
1856
1771
1721
1773
1507
1033
1011
1111
1736
1865
2078
1947
1428
1500
1950
1591
1613
1077
880
1128
1320
1692
1575
1478
1500
1368
1563
1424
1274
1047
1049
1069
981
1540
1559
1459
1559
Dataseries Y:
Download CSV
Histogram 
16
29
22
30
20
39
18
9.6
10.2
20.2
50
120
19.8
18
3
11
15
27
28
14
5.6
6.5
8.5
87.9
5.8
25.2
7.5
13.7
34
17
9
9.2
5
24
40
86.5
0.54
14
4.8
28
16
5.8
16
9.1
6
17
26
99.6
41
72
23
42
40
18
45
18
2
10
13.6
160

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108249&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108249&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108249&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1488.727.2106666666667
Biased Variance110334.943333333875.612312888889
Biased Standard Deviation332.16704131104529.5907470823041
Covariance415.973423728814
Correlation0.0416153812644781
Determination0.00173183995778788
T-Test0.317208097280355
p-value (2 sided)0.752224781889768
p-value (1 sided)0.376112390944884
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1488.7 & 27.2106666666667 \tabularnewline
Biased Variance & 110334.943333333 & 875.612312888889 \tabularnewline
Biased Standard Deviation & 332.167041311045 & 29.5907470823041 \tabularnewline
Covariance & 415.973423728814 \tabularnewline
Correlation & 0.0416153812644781 \tabularnewline
Determination & 0.00173183995778788 \tabularnewline
T-Test & 0.317208097280355 \tabularnewline
p-value (2 sided) & 0.752224781889768 \tabularnewline
p-value (1 sided) & 0.376112390944884 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108249&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]1488.7[/C][C]27.2106666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]110334.943333333[/C][C]875.612312888889[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]332.167041311045[/C][C]29.5907470823041[/C][/ROW]
[ROW][C]Covariance[/C][C]415.973423728814[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0416153812644781[/C][/ROW]
[ROW][C]Determination[/C][C]0.00173183995778788[/C][/ROW]
[ROW][C]T-Test[/C][C]0.317208097280355[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.752224781889768[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.376112390944884[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108249&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108249&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
Mean1488.727.2106666666667
Biased Variance110334.943333333875.612312888889
Biased Standard Deviation332.16704131104529.5907470823041
Covariance415.973423728814
Correlation0.0416153812644781
Determination0.00173183995778788
T-Test0.317208097280355
p-value (2 sided)0.752224781889768
p-value (1 sided)0.376112390944884
Degrees of Freedom58
Number of Observations60


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')