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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_correlation.wasp
Title produced by softwarePearson Correlation
Date of computationSun, 21 Oct 2007 06:39:59 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Oct/21/2015xwy2ycfce2g1192973783.htm/, Retrieved Thu, 09 May 2024 14:19:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1194, Retrieved Thu, 09 May 2024 14:19:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWS2Q10BASUIT
Estimated Impact204

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [WS2Q10BASUIT] [2007-10-21 13:39:59] [e0964b90cb3acfe235da067e79729c23] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2,354
2,318
2,25
2,219
2,206
2,146
2,212
2,243
2,275
2,291
2,141
2,134
2,18
2,183
2,169
2,132
2,092
2,069
2,099
2,073
2,051
2,082
2,059
2,101
2,158
2,153
2,145
2,149
2,135
2,097
2,143
2,13
2,132
2,142
2,094
2,147
2,203
2,244
2,26
2,254
2,231
2,211
2,209
2,191
2,21
2,257
2,252
2,266
2,264
2,265
2,255
2,28
2,288
2,284
2,282
2,271
2,296
2,303
2,316
2,325
2,415
2,402
2,425
2,4
2,424
2,393
2,419
2,415
2,425
2,421
2,378
2,364
Dataseries Y:
Download CSV
Histogram 
352,8
458,2
461,4
422,5
338,1
326,9
414,6
412,7
369,7
409,5
354,2
351,8
333
390,7
384,4
405,6
308,8
339,4
407
371,1
374,4
393,3
328
332,6
300,4
376,1
379
377
272,8
332,4
398,4
327,2
349,1
370,4
293,4
311,9
285,6
297,9
364,2
356,8
244,1
319,5
330,1
297
310,8
315,2
295,4
297,6
264,7
347,8
394,2
343
242,9
310,8
322,9
302,9
319,1
336,4
301
296,7
258,1
320,4
365,1
325
261,1
309,3
347,1
319,8
314,5
345,8
307,6
327

Tables (Output of Computation)





Summary of compuational 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 compuational 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=1194&T=0

[TABLE]
[ROW][C]Summary of compuational 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=1194&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1194&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 compuational 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
Mean2.23336111111111339.252777777778
Biased Variance0.01110484182098772145.96832561728
Biased Standard Deviation0.10537951328881646.3245974145193
Covariance-1.10697989045383
Correlation-0.223613357066407
Determination0.0500029334585086
T-Test-1.91948900827435
p-value (2 sided)0.0589990633290836
p-value (1 sided)0.0294995316645418
Degrees of Freedom70
Number of Observations72

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 2.23336111111111 & 339.252777777778 \tabularnewline
Biased Variance & 0.0111048418209877 & 2145.96832561728 \tabularnewline
Biased Standard Deviation & 0.105379513288816 & 46.3245974145193 \tabularnewline
Covariance & -1.10697989045383 \tabularnewline
Correlation & -0.223613357066407 \tabularnewline
Determination & 0.0500029334585086 \tabularnewline
T-Test & -1.91948900827435 \tabularnewline
p-value (2 sided) & 0.0589990633290836 \tabularnewline
p-value (1 sided) & 0.0294995316645418 \tabularnewline
Degrees of Freedom & 70 \tabularnewline
Number of Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1194&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]2.23336111111111[/C][C]339.252777777778[/C][/ROW]
[ROW][C]Biased Variance[/C][C]0.0111048418209877[/C][C]2145.96832561728[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]0.105379513288816[/C][C]46.3245974145193[/C][/ROW]
[ROW][C]Covariance[/C][C]-1.10697989045383[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.223613357066407[/C][/ROW]
[ROW][C]Determination[/C][C]0.0500029334585086[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.91948900827435[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.0589990633290836[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0294995316645418[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]70[/C][/ROW]
[ROW][C]Number of Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1194&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1194&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
Mean2.23336111111111339.252777777778
Biased Variance0.01110484182098772145.96832561728
Biased Standard Deviation0.10537951328881646.3245974145193
Covariance-1.10697989045383
Correlation-0.223613357066407
Determination0.0500029334585086
T-Test-1.91948900827435
p-value (2 sided)0.0589990633290836
p-value (1 sided)0.0294995316645418
Degrees of Freedom70
Number of Observations72


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')