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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 computationFri, 26 Nov 2010 12:08:21 +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/Nov/26/t12907731788bvzhfiupd4ql5p.htm/, Retrieved Fri, 03 May 2024 23:28:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=101791, Retrieved Fri, 03 May 2024 23:28:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- RMPD  [Pearson Correlation] [] [2010-11-26 08:45:54] [eab273d59b25a7fddba6574425ce83eb]
-    D      [Pearson Correlation] [] [2010-11-26 12:08:21] [33c49f0356cf94839cc9a2df1ea19a67] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
311
753
1.433
848
401
145
260
3.213
315
443
914
1.114
268
145
1.909
4.376
3
495
293
1.801
189
799
2.610
10
801
123
662
573
2.086
61
2.199
427
Dataseries Y:
Download CSV
Histogram 
672
957
1.592
812
882
123
739
1.995
935
636
1.410
619
400
155
1.299
526
2
544
41
2.071
53
3.539
3.605
408
2.177
197
499
1.695
616
26
987
250

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=101791&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=101791&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101791&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
Mean289.36690625346.82446875
Biased Variance87219.689011335119090.494499124
Biased Standard Deviation295.329797025859345.094906509969
Covariance14448.1516417873
Correlation0.137334038244582
Determination0.0188606380605643
T-Test0.759405027816924
p-value (2 sided)0.45353654801392
p-value (1 sided)0.22676827400696
Degrees of Freedom30
Number of Observations32

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 289.36690625 & 346.82446875 \tabularnewline
Biased Variance & 87219.689011335 & 119090.494499124 \tabularnewline
Biased Standard Deviation & 295.329797025859 & 345.094906509969 \tabularnewline
Covariance & 14448.1516417873 \tabularnewline
Correlation & 0.137334038244582 \tabularnewline
Determination & 0.0188606380605643 \tabularnewline
T-Test & 0.759405027816924 \tabularnewline
p-value (2 sided) & 0.45353654801392 \tabularnewline
p-value (1 sided) & 0.22676827400696 \tabularnewline
Degrees of Freedom & 30 \tabularnewline
Number of Observations & 32 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=101791&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]289.36690625[/C][C]346.82446875[/C][/ROW]
[ROW][C]Biased Variance[/C][C]87219.689011335[/C][C]119090.494499124[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]295.329797025859[/C][C]345.094906509969[/C][/ROW]
[ROW][C]Covariance[/C][C]14448.1516417873[/C][/ROW]
[ROW][C]Correlation[/C][C]0.137334038244582[/C][/ROW]
[ROW][C]Determination[/C][C]0.0188606380605643[/C][/ROW]
[ROW][C]T-Test[/C][C]0.759405027816924[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.45353654801392[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.22676827400696[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]30[/C][/ROW]
[ROW][C]Number of Observations[/C][C]32[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=101791&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=101791&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
Mean289.36690625346.82446875
Biased Variance87219.689011335119090.494499124
Biased Standard Deviation295.329797025859345.094906509969
Covariance14448.1516417873
Correlation0.137334038244582
Determination0.0188606380605643
T-Test0.759405027816924
p-value (2 sided)0.45353654801392
p-value (1 sided)0.22676827400696
Degrees of Freedom30
Number of Observations32


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')