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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, 20 Oct 2008 14:31:49 -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/20/t1224534749jc074c06nwiqvso.htm/, Retrieved Sun, 19 May 2024 14:58:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18094, Retrieved Sun, 19 May 2024 14:58:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [Verband indexcijf...] [2008-10-20 20:31:49] [63db34dadd44fb018112addcdefe949f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101
104
99
105
107
111
117
119
127
128
135
132
136
143
142
153
145
138
148
152
169
169
161
174
179
191
190
182
175
181
197
194
197
216
221
218
230
227
204
197
199
208
191
202
211
224
224
231
244
235
250
266
288
283
295
312
334
348
383
407
Dataseries Y:
Download CSV
Histogram 
101
88
108
116
104
110
105
107
124
109
102
125
102
101
116
114
115
119
108
110
120
113
111
121
99
104
117
108
122
122
111
111
131
108
118
119
104
105
118
124
123
114
119
116
129
112
123
124
117
110
118
135
127
117
137
130
132
142
122
126

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=18094&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=18094&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18094&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
Mean195.816666666667115.716666666667
Biased Variance4749.18305555556104.903055555556
Biased Standard Deviation68.914316767675810.2422192690625
Covariance438.591242937853
Correlation0.611022486891614
Determination0.373348479487212
T-Test5.87838655568218
p-value (2 sided)2.16088727356123e-07
p-value (1 sided)1.08044363678061e-07
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 195.816666666667 & 115.716666666667 \tabularnewline
Biased Variance & 4749.18305555556 & 104.903055555556 \tabularnewline
Biased Standard Deviation & 68.9143167676758 & 10.2422192690625 \tabularnewline
Covariance & 438.591242937853 \tabularnewline
Correlation & 0.611022486891614 \tabularnewline
Determination & 0.373348479487212 \tabularnewline
T-Test & 5.87838655568218 \tabularnewline
p-value (2 sided) & 2.16088727356123e-07 \tabularnewline
p-value (1 sided) & 1.08044363678061e-07 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18094&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]195.816666666667[/C][C]115.716666666667[/C][/ROW]
[ROW][C]Biased Variance[/C][C]4749.18305555556[/C][C]104.903055555556[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]68.9143167676758[/C][C]10.2422192690625[/C][/ROW]
[ROW][C]Covariance[/C][C]438.591242937853[/C][/ROW]
[ROW][C]Correlation[/C][C]0.611022486891614[/C][/ROW]
[ROW][C]Determination[/C][C]0.373348479487212[/C][/ROW]
[ROW][C]T-Test[/C][C]5.87838655568218[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]2.16088727356123e-07[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]1.08044363678061e-07[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]58[/C][/ROW]
[ROW][C]Number of Observations[/C][C]60[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18094&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18094&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
Mean195.816666666667115.716666666667
Biased Variance4749.18305555556104.903055555556
Biased Standard Deviation68.914316767675810.2422192690625
Covariance438.591242937853
Correlation0.611022486891614
Determination0.373348479487212
T-Test5.87838655568218
p-value (2 sided)2.16088727356123e-07
p-value (1 sided)1.08044363678061e-07
Degrees of Freedom58
Number of Observations60


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')