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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 computationThu, 24 Nov 2011 07:57:28 -0500
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/Nov/24/t1322139756x10b1azxf3qivx7.htm/, Retrieved Thu, 25 Apr 2024 02:23:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=146743, Retrieved Thu, 25 Apr 2024 02:23:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact138

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [ws7/2] [2011-11-24 10:28:55] [8ae0a4da1b3ee81f40dbba5e42914d07]
- RMPD  [Pearson Correlation] [correlation Yt en...] [2011-11-24 12:50:00] [75512e061a94450f738c2449abbaac12]
-    D      [Pearson Correlation] [correlatie Yt en ...] [2011-11-24 12:57:28] [242bbde8f74d68805b56d9ecebfdbe63] [Current]
- R  D        [Pearson Correlation] [WS7 - 2] [2012-11-05 12:44:22] [fe055a25191a04e375a94ef97fddf389]
-    D          [Pearson Correlation] [WS7 - 3] [2012-11-05 12:48:38] [fe055a25191a04e375a94ef97fddf389]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
22274
14819
15136
13704
19638
7551
8019
6509
6634
11166
7508
4275
4944
5441
1689
1522
1416
1594
1909
2599
1262
1199
4404
1166
1122
886
778
4436
1890
3107
1038
300
988
2008
1522
1336
976
798
869
1260
578
2359
736
1690
1201
813
778
687
1270
671
1559
489
773
629
637
277
776
1651
377
222
1068
399
547
668
451
724
853
434
730
612
Dataseries Y:
Download CSV
Histogram 
26073
18103
15100
14738
22259
10277
6225
7663
6618
9945
7590
4293
4656
5145
2001
1779
1609
2191
1617
2554
2198
1578
3446
1380
1249
1223
834
3754
2283
3028
1100
457
1201
2192
1508
1393
952
1032
1279
1370
649
1900
666
1313
1353
1500
877
874
1133
754
695
609
696
756
670
301
630
798
436
388
864
497
449
919
536
673
837
534
845
626

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'Gwilym Jenkins' @ jenkins.wessa.net

\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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146743&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146743&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146743&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'Gwilym Jenkins' @ jenkins.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean3062.157142857143252.44285714286
Biased Variance20620585.93244925634821.1038776
Biased Standard Deviation4540.989532298995063.08414939724
Covariance23095817.9293996
Correlation0.990190491602499
Determination0.980477209659999
T-Test58.4389309865093
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom68
Number of Observations70

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 3062.15714285714 & 3252.44285714286 \tabularnewline
Biased Variance & 20620585.932449 & 25634821.1038776 \tabularnewline
Biased Standard Deviation & 4540.98953229899 & 5063.08414939724 \tabularnewline
Covariance & 23095817.9293996 \tabularnewline
Correlation & 0.990190491602499 \tabularnewline
Determination & 0.980477209659999 \tabularnewline
T-Test & 58.4389309865093 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 68 \tabularnewline
Number of Observations & 70 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146743&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]3062.15714285714[/C][C]3252.44285714286[/C][/ROW]
[ROW][C]Biased Variance[/C][C]20620585.932449[/C][C]25634821.1038776[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4540.98953229899[/C][C]5063.08414939724[/C][/ROW]
[ROW][C]Covariance[/C][C]23095817.9293996[/C][/ROW]
[ROW][C]Correlation[/C][C]0.990190491602499[/C][/ROW]
[ROW][C]Determination[/C][C]0.980477209659999[/C][/ROW]
[ROW][C]T-Test[/C][C]58.4389309865093[/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]68[/C][/ROW]
[ROW][C]Number of Observations[/C][C]70[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146743&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146743&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
Mean3062.157142857143252.44285714286
Biased Variance20620585.93244925634821.1038776
Biased Standard Deviation4540.989532298995063.08414939724
Covariance23095817.9293996
Correlation0.990190491602499
Determination0.980477209659999
T-Test58.4389309865093
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom68
Number of Observations70


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')