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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_correlation.wasp

Title produced by software

Pearson Correlation

Date of computation

Fri, 06 Nov 2009 02:25:57 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/06/t1257499691raw042qha9xdepm.htm/, Retrieved Sat, 27 Apr 2024 18:28:23 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=54231, Retrieved Sat, 27 Apr 2024 18:28:23 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

156

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Bivariate Explorative Data Analysis] [] [2009-11-04 11:38:51] [09f192433169b2c787c4a71fde86e883]
- RMPD    [Pearson Correlation] [SHWWS5review] [2009-11-06 09:25:57] [db49399df1e4a3dbe31268849cebfd7f] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

210.5719011
211.8997081
210.0843833
216.9714191
212.5325759
213.3266004
211.6320939
213.8495876
209.7836603
207.8165281
209.5503598
197.7604812
218.7340218
222.8200937
222.6256364
227.2831783
230.9728651
223.1882391
226.6908408
227.3001901
222.3150821
223.6556123
227.8932506
219.077975
237.9620698
239.3620698
240.1949375
247.6320939
250.0126723
241.7479499
247.8635157
248.1117083
241.5191789
244.6548894
252.0347448
237.994072
260.2839013
263.301395
261.6975884
263.8558533
268.7959015
249.7504089
270.4517565
270.1824554
266.7364317
273.7251544
269.6086247
263.3813488
283.9826964
285.5836603
285.0489138
291.8846243
289.7983114
285.6105526
292.9853472
298.2038049
291.9685765
288.9378776
284.5719503
273.9959999

Dataseries Y:

Download CSV

Histogram

-489.655367
-447.6900293
-537.3677823
-481.4102379
-503.7985479
-581.5953765
-494.8534187
-446.578747
-524.8000885
-579.7086071
-653.407384
-847.3550966
-531.7339354
-455.9861327
-562.2051181
-515.2549594
-509.8456254
-612.3288157
-470.5160829
-457.8351585
-551.5732196
-562.0428617
-516.3417287
-798.8804249
-494.0911623
-494.2911623
-549.4996808
-494.2534187
-504.6475737
-606.2817381
-521.1265498
-486.5573154
-630.0568175
-546.8751679
-544.5016292
-915.6313089
-528.6226531
-480.2479814
-598.5478913
-565.6654263
-566.6899392
-844.5683272
-486.7818283
-499.9872656
-576.1595813
-552.459989
-618.924919
-862.4963291
-504.7098302
-523.2000885
-624.5719965
-541.8903469
-612.415585
-655.7054357
-555.9580406
-526.4736273
-618.4004061
-605.1949688
-683.0163103
-952.4118256

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54231&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=54231&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54231&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	246.362822025	-575.094647711667
Biased Variance	792.838956057987	12804.6526024623
Biased Standard Deviation	28.1573961164378	113.157644913909
Covariance	-413.346259515513
Correlation	-0.127567011810473
Determination	0.0162733425022533
T-Test	-0.979524175388652
p-value (2 sided)	0.33138926702103
p-value (1 sided)	0.165694633510515
Degrees of Freedom	58
Number of Observations	60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 246.362822025 & -575.094647711667 \tabularnewline
Biased Variance & 792.838956057987 & 12804.6526024623 \tabularnewline
Biased Standard Deviation & 28.1573961164378 & 113.157644913909 \tabularnewline
Covariance & -413.346259515513 \tabularnewline
Correlation & -0.127567011810473 \tabularnewline
Determination & 0.0162733425022533 \tabularnewline
T-Test & -0.979524175388652 \tabularnewline
p-value (2 sided) & 0.33138926702103 \tabularnewline
p-value (1 sided) & 0.165694633510515 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=54231&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]246.362822025[/C][C]-575.094647711667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]792.838956057987[/C][C]12804.6526024623[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]28.1573961164378[/C][C]113.157644913909[/C][/ROW]
[ROW][C]Covariance[/C][C]-413.346259515513[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.127567011810473[/C][/ROW]
[ROW][C]Determination[/C][C]0.0162733425022533[/C][/ROW]
[ROW][C]T-Test[/C][C]-0.979524175388652[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.33138926702103[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.165694633510515[/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=54231&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=54231&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Pearson Product Moment Correlation - Ungrouped Data
Statistic	Variable X	Variable Y
Mean	246.362822025	-575.094647711667
Biased Variance	792.838956057987	12804.6526024623
Biased Standard Deviation	28.1573961164378	113.157644913909
Covariance	-413.346259515513
Correlation	-0.127567011810473
Determination	0.0162733425022533
T-Test	-0.979524175388652
p-value (2 sided)	0.33138926702103
p-value (1 sided)	0.165694633510515
Degrees of Freedom	58
Number of Observations	60

Figure 1

PNG link

Postscript link

PDF link

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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code