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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 computationMon, 04 Oct 2010 07:35:56 +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/Oct/04/t1286177687uc19g682ty1w165.htm/, Retrieved Sat, 27 Apr 2024 17:12:43 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=80427, Retrieved Sat, 27 Apr 2024 17:12:43 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact506

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Connected vs Sepa...] [2010-10-04 07:35:56] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
F         [Pearson Correlation] [Connected vs Sepa...] [2010-10-08 13:44:47] [aeb27d5c05332f2e597ad139ee63fbe4]
F         [Pearson Correlation] [Task7] [2010-10-10 13:34:19] [945bcebba5e7ac34a41d6888338a1ba9]
F         [Pearson Correlation] [Task 7a] [2010-10-11 23:13:12] [48146708a479232c43a8f6e52fbf83b4]
-   PD    [Pearson Correlation] [Paper - Pearson] [2010-11-12 21:21:48] [6ff9fb24bdca608d2f4f1f9db3f6445e]
-   PD      [Pearson Correlation] [computation16] [2010-11-16 11:45:29] [dc30d19c3bc2be07fe595ad36c2cf923]
-    D    [Pearson Correlation] [] [2010-11-13 16:18:29] [39e83c7b0ac936e906a817a1bb402750]
-    D    [Pearson Correlation] [] [2010-11-13 16:27:39] [39e83c7b0ac936e906a817a1bb402750]
-   PD    [Pearson Correlation] [] [2010-11-13 17:22:12] [39e83c7b0ac936e906a817a1bb402750]
-    D      [Pearson Correlation] [] [2010-11-13 17:26:35] [39e83c7b0ac936e906a817a1bb402750]
- RM      [Pearson Correlation] [Task 7] [2011-10-07 14:12:13] [088a244c534fec2347300624359db3c1]
- R       [Pearson Correlation] [] [2011-10-07 15:07:24] [ee8c3a74bf3b349877806e9a50913c60]
- RM      [Pearson Correlation] [] [2011-10-08 13:31:39] [06c08141d7d783218a8164fd2ea166f2]
- R       [Pearson Correlation] [] [2011-10-08 21:36:01] [a9a952c1cbc7081c25fad93a34aab827]
-    D      [Pearson Correlation] [PAPER: werklooshe...] [2011-12-20 21:12:47] [f0cb027b41af06223bae4ee77475f3bc]
- R       [Pearson Correlation] [Task 7 a] [2011-10-09 12:41:46] [1321c14511baa35aebbc5dda661708fe]
- R       [Pearson Correlation] [Task 7] [2011-10-09 17:47:31] [80bca13c5f9401fbb753952fd2952f4a]
-           [Pearson Correlation] [Pearson correlation] [2012-12-05 15:45:45] [f8da7216ca6ab56f40bda6dd57b36742]
- RMP     [Pearson Correlation] [taak 7b] [2011-10-10 08:37:51] [c4580079d5d2b3f0ba412f27cdc441be]
- R       [Pearson Correlation] [] [2011-10-10 16:28:01] [aefb5c2d4042694c5b6b82f93ac1885a]
- RM      [Pearson Correlation] [task 7] [2011-10-11 08:20:51] [379dab8110dbf77cfcc4b7951c3a599f]
- R       [Pearson Correlation] [Vraag 7] [2011-10-11 10:58:41] [c505444e07acba7694d29053ca5d114e]
- RM      [Pearson Correlation] [] [2011-10-11 12:55:01] [ad2d4c5ace9fa07b356a7b5098237581]
- R P     [Pearson Correlation] [] [2011-10-11 15:39:09] [a1957df0bc37aec4aa3c994e6a08412c]
- R P     [Pearson Correlation] [] [2011-10-11 15:51:24] [a1957df0bc37aec4aa3c994e6a08412c]
- R       [Pearson Correlation] [Workshop 2 - Task 9] [2011-10-11 16:11:46] [620e5553455d245695b6e856984b13e0]
- RM      [Pearson Correlation] [Workshop 2 Task 7.1] [2011-10-11 16:31:25] [59e9c089bdd600b584669dddc48fbcc3]
- RM      [Pearson Correlation] [] [2011-10-11 17:11:00] [e21b9c93af4eb9605ecfaf58a559e5ab]
- RM      [Pearson Correlation] [Task 7.1] [2011-10-11 19:44:04] [e51846b5e808727784baa8d5c183dcd5]
- RM      [Pearson Correlation] [Workshop 2 - task 7] [2011-10-11 22:31:23] [43a132f5d1d3e2c258a569e3803c6f06]
- R  D    [Pearson Correlation] [] [2011-10-13 13:41:08] [6d8d5ddb787739e9d7807ef3376f0127]
- RM D      [Random Number Generator - Log-Normal Distribution] [] [2011-10-13 13:50:03] [6d8d5ddb787739e9d7807ef3376f0127]
-   P         [Random Number Generator - Log-Normal Distribution] [] [2011-12-15 14:26:40] [6d8d5ddb787739e9d7807ef3376f0127]
- R  D    [Pearson Correlation] [] [2011-10-14 09:53:14] [088a244c534fec2347300624359db3c1]
- RM      [Pearson Correlation] [WS 2 - 7.1 ] [2011-10-17 10:58:59] [2c786c21adba4dd4c8af44dce5258f06]
- R  D    [Pearson Correlation] [Scatterplot] [2011-11-13 13:58:16] [7ec97e350862fea9ec6e4fa3b5b6058f]
- RMPD    [Linear Regression Graphical Model Validation] [Linear Regression...] [2011-11-13 13:59:28] [7ec97e350862fea9ec6e4fa3b5b6058f]
- RMPD    [Linear Regression Graphical Model Validation] [Diesel prijzen ve...] [2011-11-13 14:49:20] [7ec97e350862fea9ec6e4fa3b5b6058f]
- R  D    [Pearson Correlation] [] [2011-11-14 19:02:55] [14511500b645ce5186c706473940fe45]
- RMPD    [Bivariate Kernel Density Estimation] [] [2011-11-14 19:08:14] [14511500b645ce5186c706473940fe45]
- R       [Pearson Correlation] [] [2011-11-29 14:44:44] [d623f9be707a26b8ffaece1fc4d5a7ee]
-           [Pearson Correlation] [] [2011-11-29 17:08:06] [85c740202f6a07d51229b0a6b62ca11c]
-           [Pearson Correlation] [] [2011-12-06 22:08:57] [74be16979710d4c4e7c6647856088456]
-           [Pearson Correlation] [] [2011-12-15 07:51:25] [f98f9dc58dd24d7896d4ecb781e1c75c]
-           [Pearson Correlation] [] [2011-12-20 08:20:52] [74be16979710d4c4e7c6647856088456]
-  M        [Pearson Correlation] [] [2011-12-22 11:59:18] [74be16979710d4c4e7c6647856088456]
- RMPD    [Bivariate Kernel Density Estimation] [] [2011-11-29 14:53:34] [d623f9be707a26b8ffaece1fc4d5a7ee]
- R         [Bivariate Kernel Density Estimation] [] [2011-11-29 17:11:45] [85c740202f6a07d51229b0a6b62ca11c]
- R         [Bivariate Kernel Density Estimation] [] [2011-12-06 22:10:11] [74be16979710d4c4e7c6647856088456]

[Truncated]
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Dataset

Dataseries X:
Download CSV
Histogram
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Dataseries Y:
Download CSV
Histogram 
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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'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=80427&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=80427&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80427&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean36.248484848484835.0454545454545
Biased Variance19.962497704315920.3039944903581
Biased Standard Deviation4.467941103496764.5059953939566
Covariance10.6208897485493
Correlation0.52595026181494
Determination0.276623677903204
T-Test11.1995211160927
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom328
Number of Observations330

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 36.2484848484848 & 35.0454545454545 \tabularnewline
Biased Variance & 19.9624977043159 & 20.3039944903581 \tabularnewline
Biased Standard Deviation & 4.46794110349676 & 4.5059953939566 \tabularnewline
Covariance & 10.6208897485493 \tabularnewline
Correlation & 0.52595026181494 \tabularnewline
Determination & 0.276623677903204 \tabularnewline
T-Test & 11.1995211160927 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 328 \tabularnewline
Number of Observations & 330 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=80427&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]36.2484848484848[/C][C]35.0454545454545[/C][/ROW]
[ROW][C]Biased Variance[/C][C]19.9624977043159[/C][C]20.3039944903581[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4.46794110349676[/C][C]4.5059953939566[/C][/ROW]
[ROW][C]Covariance[/C][C]10.6208897485493[/C][/ROW]
[ROW][C]Correlation[/C][C]0.52595026181494[/C][/ROW]
[ROW][C]Determination[/C][C]0.276623677903204[/C][/ROW]
[ROW][C]T-Test[/C][C]11.1995211160927[/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]328[/C][/ROW]
[ROW][C]Number of Observations[/C][C]330[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=80427&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=80427&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
Mean36.248484848484835.0454545454545
Biased Variance19.962497704315920.3039944903581
Biased Standard Deviation4.467941103496764.5059953939566
Covariance10.6208897485493
Correlation0.52595026181494
Determination0.276623677903204
T-Test11.1995211160927
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom328
Number of Observations330


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')