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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 computationSun, 19 Oct 2008 09:17:14 -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/19/t1224429498mdfjzcjmrfoauha.htm/, Retrieved Sat, 18 May 2024 13:48:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=16906, Retrieved Sat, 18 May 2024 13:48:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact152

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [investigating Ass...] [2007-10-22 22:15:01] [8cd6641b921d30ebe00b648d1481bba0]
F    D    [Pearson Correlation] [Task 3 - Q10 - in...] [2008-10-19 15:17:14] [dafd615cb3e0decc017580d68ecea30a] [Current]
Feedback Forum
2008-10-27 08:36:08 [Jeroen Michel] [reply] 
Ook voor deze relatie verwijs ik naar de opmerkingen gemaakt bij de eerste vergelijking.

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Oct/19/t1224429115yq5r4te9n08y7po.htm , Retrieved Sun, 19 Oct 2008 15:12:03 +0000

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
17501
2127
6187
5006
6005
5127
3022
2291
6084
8323
2338
1432
4019
3167
1292
4622
1631
4783
3417
4858
3057
16061
1533
11544
4115
850
501
1148
224
185
1083
478
815
1932
643
472
14367
920
997
2834
466
912
894
491
371
1422
343
1047
Dataseries Y:
Download CSV
Histogram 
31560
19327
1628
2237
307
2152
3414
3466
761
1902
358
354
6676
2963
449
6225
458
9768
3497
760
565
422
290
1324
7092
1051
2614
346
130
1040
1629
374
176
1547
171
906
5798
2391
164
743
921
5911
535
72
6734
1024
1210
249

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' @ 72.249.127.135

\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' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16906&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' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16906&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16906&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' @ 72.249.127.135






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean3394.520833333332993.5625
Biased Variance16083714.624566028592000.9544271
Biased Standard Deviation4010.450675992165347.14886219068
Covariance9981860.5731383
Correlation0.455777273085946
Determination0.207732922661661
T-Test3.47292797785284
p-value (2 sided)0.00113217548291722
p-value (1 sided)0.00056608774145861
Degrees of Freedom46
Number of Observations48

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 3394.52083333333 & 2993.5625 \tabularnewline
Biased Variance & 16083714.6245660 & 28592000.9544271 \tabularnewline
Biased Standard Deviation & 4010.45067599216 & 5347.14886219068 \tabularnewline
Covariance & 9981860.5731383 \tabularnewline
Correlation & 0.455777273085946 \tabularnewline
Determination & 0.207732922661661 \tabularnewline
T-Test & 3.47292797785284 \tabularnewline
p-value (2 sided) & 0.00113217548291722 \tabularnewline
p-value (1 sided) & 0.00056608774145861 \tabularnewline
Degrees of Freedom & 46 \tabularnewline
Number of Observations & 48 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=16906&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]3394.52083333333[/C][C]2993.5625[/C][/ROW]
[ROW][C]Biased Variance[/C][C]16083714.6245660[/C][C]28592000.9544271[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]4010.45067599216[/C][C]5347.14886219068[/C][/ROW]
[ROW][C]Covariance[/C][C]9981860.5731383[/C][/ROW]
[ROW][C]Correlation[/C][C]0.455777273085946[/C][/ROW]
[ROW][C]Determination[/C][C]0.207732922661661[/C][/ROW]
[ROW][C]T-Test[/C][C]3.47292797785284[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.00113217548291722[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.00056608774145861[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]46[/C][/ROW]
[ROW][C]Number of Observations[/C][C]48[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=16906&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=16906&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
Mean3394.520833333332993.5625
Biased Variance16083714.624566028592000.9544271
Biased Standard Deviation4010.450675992165347.14886219068
Covariance9981860.5731383
Correlation0.455777273085946
Determination0.207732922661661
T-Test3.47292797785284
p-value (2 sided)0.00113217548291722
p-value (1 sided)0.00056608774145861
Degrees of Freedom46
Number of Observations48


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')