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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 computationTue, 22 Feb 2011 20:11:49 +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/2011/Feb/22/t1298405338gzsa3l2c3mddflp.htm/, Retrieved Sun, 19 May 2024 14:41:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=118960, Retrieved Sun, 19 May 2024 14:41:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact90

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [] [2011-02-22 20:11:49] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13
12
7
9
6
11
12
10
9
9
15
11
8
6
13
10
14
8
11
10
6
9
14
8
6
9
15
8
7
7
5
7
Dataseries Y:
Download CSV
Histogram 
1235
1080
845
1522
1047
1979
1822
1253
1297
946
1713
1024
1147
1092
1152
1336
2131
1550
1884
2041
845
1483
1055
1545
729
1792
1175
1593
785
744
1356
1262

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'Herman Ole Andreas Wold' @ www.yougetit.org

\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 & 'Herman Ole Andreas Wold' @ www.yougetit.org \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=118960&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]'Herman Ole Andreas Wold' @ www.yougetit.org[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=118960&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=118960&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'Herman Ole Andreas Wold' @ www.yougetit.org






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean9.531251326.875
Biased Variance7.8115234375149993.421875
Biased Standard Deviation2.7949102736045387.289842204776
Covariance441.584677419355
Correlation0.395204366463315
Determination0.156186491271671
T-Test2.35645485940133
p-value (2 sided)0.0251762709603327
p-value (1 sided)0.0125881354801664
Degrees of Freedom30
Number of Observations32

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 9.53125 & 1326.875 \tabularnewline
Biased Variance & 7.8115234375 & 149993.421875 \tabularnewline
Biased Standard Deviation & 2.7949102736045 & 387.289842204776 \tabularnewline
Covariance & 441.584677419355 \tabularnewline
Correlation & 0.395204366463315 \tabularnewline
Determination & 0.156186491271671 \tabularnewline
T-Test & 2.35645485940133 \tabularnewline
p-value (2 sided) & 0.0251762709603327 \tabularnewline
p-value (1 sided) & 0.0125881354801664 \tabularnewline
Degrees of Freedom & 30 \tabularnewline
Number of Observations & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=118960&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]9.53125[/C][C]1326.875[/C][/ROW]
[ROW][C]Biased Variance[/C][C]7.8115234375[/C][C]149993.421875[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]2.7949102736045[/C][C]387.289842204776[/C][/ROW]
[ROW][C]Covariance[/C][C]441.584677419355[/C][/ROW]
[ROW][C]Correlation[/C][C]0.395204366463315[/C][/ROW]
[ROW][C]Determination[/C][C]0.156186491271671[/C][/ROW]
[ROW][C]T-Test[/C][C]2.35645485940133[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0251762709603327[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0125881354801664[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]30[/C][/ROW]
[ROW][C]Number of Observations[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=118960&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=118960&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
Mean9.531251326.875
Biased Variance7.8115234375149993.421875
Biased Standard Deviation2.7949102736045387.289842204776
Covariance441.584677419355
Correlation0.395204366463315
Determination0.156186491271671
T-Test2.35645485940133
p-value (2 sided)0.0251762709603327
p-value (1 sided)0.0125881354801664
Degrees of Freedom30
Number of Observations32


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')