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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 computationFri, 17 Oct 2008 07:58:23 -0600
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/Oct/17/t1224251953003w0pwmsxmliti.htm/, Retrieved Sun, 19 May 2024 15:23:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16465, Retrieved Sun, 19 May 2024 15:23:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact165

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [uitvoer van belgi...] [2008-10-13 19:28:16] [1e1d8320a8a1170c475bf6e4ce119de6]
- RMPD    [Pearson Correlation] [Pearson Correlati...] [2008-10-17 13:58:23] [fdd69703d301fae09456f660b2f52997] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1332.7
1343.8
1421.6
1329.8
1306.8
1412.8
1358.1
1163.9
1467.9
1433.7
1362.2
1299
1291.5
1452.7
1555.4
1402.5
1242.9
1514.6
1308.6
1239.3
1519.9
1659.4
1597.6
1340.6
1427.2
1438.1
1616.2
1392.8
1318.7
1420.9
1221
1310
1466.7
1299.3
1640
1506.3
1530.2
1661.9
1880.3
1230.8
1406.5
1523.5
1323.2
1319.2
1500.7
1483
1497
1219.8
1472.9
1423.9
1629.6
1353.4
1366.8
1527.1
1487.6
1478.6
1536.7
1682.1
1576.5
1280.5
Dataseries Y:
Download CSV
Histogram 
744.8
672.1
666.6
760.8
756
604.4
883.9
527.9
756.2
812.9
655.6
707.6
612.6
659.2
833.4
727.8
797.2
753
762
613.7
759.2
816.4
736.8
680.1
736.5
637.2
801.9
772.3
897.3
792.1
826.8
666.8
906.6
871.4
891
739.2
833.6
715.6
871.6
751.6
1005.5
681.2
837.3
674.7
806.3
860.2
689.8
691.6
682.6
800.1
1023.7
733.5
875.3
770.2
1005.7
982.3
742.9
974.2
822.3
773.2

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' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16465&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16465&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16465&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' @ 72.249.76.132






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean1430.105774.071666666667
Biased Variance18735.001141666711011.9240305556
Biased Standard Deviation136.875860332152104.937715005405
Covariance5649.96472033898
Correlation0.386801395271865
Determination0.149615319384261
T-Test3.19443690683133
p-value (2 sided)0.00226632853951392
p-value (1 sided)0.00113316426975696
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 1430.105 & 774.071666666667 \tabularnewline
Biased Variance & 18735.0011416667 & 11011.9240305556 \tabularnewline
Biased Standard Deviation & 136.875860332152 & 104.937715005405 \tabularnewline
Covariance & 5649.96472033898 \tabularnewline
Correlation & 0.386801395271865 \tabularnewline
Determination & 0.149615319384261 \tabularnewline
T-Test & 3.19443690683133 \tabularnewline
p-value (2 sided) & 0.00226632853951392 \tabularnewline
p-value (1 sided) & 0.00113316426975696 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16465&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]1430.105[/C][C]774.071666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]18735.0011416667[/C][C]11011.9240305556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]136.875860332152[/C][C]104.937715005405[/C][/ROW]
[ROW][C]Covariance[/C][C]5649.96472033898[/C][/ROW]
[ROW][C]Correlation[/C][C]0.386801395271865[/C][/ROW]
[ROW][C]Determination[/C][C]0.149615319384261[/C][/ROW]
[ROW][C]T-Test[/C][C]3.19443690683133[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00226632853951392[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00113316426975696[/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=16465&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16465&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
Mean1430.105774.071666666667
Biased Variance18735.001141666711011.9240305556
Biased Standard Deviation136.875860332152104.937715005405
Covariance5649.96472033898
Correlation0.386801395271865
Determination0.149615319384261
T-Test3.19443690683133
p-value (2 sided)0.00226632853951392
p-value (1 sided)0.00113316426975696
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')