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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 computationMon, 22 Oct 2007 13:13:25 -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/22/iwanexpvxmy0kaw1193083801.htm/, Retrieved Mon, 06 May 2024 08:35:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1496, Retrieved Mon, 06 May 2024 08:35:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordseigen data
Estimated Impact193

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [eigen data] [2007-10-22 20:13:25] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
185,9
169,9
169,9
168,7
159,5
156
160,7
161,6
156,6
155,4
151,8
141,2
133,6
133,9
138,4
134,7
138,4
136
135
137,3
135,2
127,4
122,1
122
120,8
124,9
131
132,5
129,3
128,1
132,9
120,1
115,5
116,6
112,3
108,5
111,5
113,6
125
134,7
139,4
142,9
141,7
131,7
128,8
121,4
118,4
115
110,9
106
104,8
108,2
113,4
111,3
110,3
115,9
113,7
112,6
113,8
115,9
116,2
109,7
107
99
96,4
95,8
95,6
92
92,4
91,7
91,3
88,3
90,9
93,9
94,3
91,7
93,1
91,5
93,6
95,3
97,4
96,9
95,7
97,1
96,6
94,3
97
101,4
105,8
103,4
103,8
103
105,3
Dataseries Y:
Download CSV
Histogram 
211,4
184,6
177,7
184,8
172,3
169,6
180,3
180,9
175,8
175
170,4
159,3
139,9
134,5
143
137,3
140,3
131,3
127,8
126,5
119,2
116
110,8
115,4
115,1
114,1
119,1
114
112,1
111,2
116
109,5
109,5
110,2
108,8
108,2
111,4
110,8
117,2
130,7
137,4
141,4
137,1
129,8
127,3
121,7
117,6
111,2
113
111,1
103,7
110,8
115,3
111,4
112,5
115,5
114,9
119,9
125,6
131,8
134,2
124,5
114,4
103,8
98,5
97
98,1
99
99,7
98,6
97,4
97,8
100,3
101,2
100,7
96,3
98,4
99,5
101,4
101,1
104,7
102,3
100,8
98,5
93,4
90,3
92,1
100,7
107,2
103,9
105,6
103,2
102,7

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=1496&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=1496&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1496&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
Mean119.161290322581121.272043010753
Biased Variance495.454200485605656.086100127182
Biased Standard Deviation22.25880051767425.6141777171781
Covariance538.952927769986
Correlation0.935133334524957
Determination0.874474353339765
T-Test25.1783925920026
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom91
Number of Observations93

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 119.161290322581 & 121.272043010753 \tabularnewline
Biased Variance & 495.454200485605 & 656.086100127182 \tabularnewline
Biased Standard Deviation & 22.258800517674 & 25.6141777171781 \tabularnewline
Covariance & 538.952927769986 \tabularnewline
Correlation & 0.935133334524957 \tabularnewline
Determination & 0.874474353339765 \tabularnewline
T-Test & 25.1783925920026 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 91 \tabularnewline
Number of Observations & 93 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1496&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]119.161290322581[/C][C]121.272043010753[/C][/ROW]
[ROW][C]Biased Variance[/C][C]495.454200485605[/C][C]656.086100127182[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]22.258800517674[/C][C]25.6141777171781[/C][/ROW]
[ROW][C]Covariance[/C][C]538.952927769986[/C][/ROW]
[ROW][C]Correlation[/C][C]0.935133334524957[/C][/ROW]
[ROW][C]Determination[/C][C]0.874474353339765[/C][/ROW]
[ROW][C]T-Test[/C][C]25.1783925920026[/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]91[/C][/ROW]
[ROW][C]Number of Observations[/C][C]93[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1496&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1496&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
Mean119.161290322581121.272043010753
Biased Variance495.454200485605656.086100127182
Biased Standard Deviation22.25880051767425.6141777171781
Covariance538.952927769986
Correlation0.935133334524957
Determination0.874474353339765
T-Test25.1783925920026
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom91
Number of Observations93


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')