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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 computationTue, 22 Nov 2011 10:17:07 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Nov/22/t1321975049wx2oen7l0cjds6l.htm/, Retrieved Sat, 20 Apr 2024 03:49:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=146277, Retrieved Sat, 20 Apr 2024 03:49:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact76

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Pearson Correlation] [WS7 - Scatterplot...] [2011-11-22 15:13:55] [ae1339cb5a7cf28362d01e7220b4a16c]
-    D    [Pearson Correlation] [WS7 - Scatterplot...] [2011-11-22 15:17:07] [e598b5cd83fcb010b35e92a01f5e81e9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
44967
27860
31439
39592
72827
27317
29856
47752
39117
29349
40166
31679
58510
23454
20897
56248
20859
22610
35947
5779
50300
36700
49100
52100
65900
13800
28700
45700
28400
7100
34200
44200
5900
68400
43600
66600
9100
25500
8400
36200
45000
11100
12300
52800
26000
9000
46700
58200
54100
25500
64500
42100
23500
14000
65900
19200
51200
50400
52100
43400
Dataseries Y:
Download CSV
Histogram 
68900
48500
55500
62000
116500
45000
38000
83000
59000
47500
40500
40000
97000
45500
40900
80000
56000
37000
50000
22400
241100
82200
234400
233700
177700
65900
117600
22500
326600
377900
290700
108200
488100
496600
493100
236900
420600
328200
313200
40200
318300
374100
144400
298300
404200
134600
270600
181800
492300
203000
464300
137200
95100
481300
112300
29500
76200
323800
40600
425700

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'George Udny Yule' @ yule.wessa.net

\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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146277&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=146277&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146277&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'George Udny Yule' @ yule.wessa.net






Pearson Product Moment Correlation - Ungrouped Data
StatisticVariable XVariable Y
Mean36552.0833333333187270
Biased Variance316667846.97638923552737100
Biased Standard Deviation17795.1635838615153469.010226821
Covariance77049524.5762712
Correlation0.0277426566960226
Determination0.00076965500055337
T-Test0.211363132753455
p-value (2 sided)0.8333448473918
p-value (1 sided)0.4166724236959
Degrees of Freedom58
Number of Observations60

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 36552.0833333333 & 187270 \tabularnewline
Biased Variance & 316667846.976389 & 23552737100 \tabularnewline
Biased Standard Deviation & 17795.1635838615 & 153469.010226821 \tabularnewline
Covariance & 77049524.5762712 \tabularnewline
Correlation & 0.0277426566960226 \tabularnewline
Determination & 0.00076965500055337 \tabularnewline
T-Test & 0.211363132753455 \tabularnewline
p-value (2 sided) & 0.8333448473918 \tabularnewline
p-value (1 sided) & 0.4166724236959 \tabularnewline
Degrees of Freedom & 58 \tabularnewline
Number of Observations & 60 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=146277&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]36552.0833333333[/C][C]187270[/C][/ROW]
[ROW][C]Biased Variance[/C][C]316667846.976389[/C][C]23552737100[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]17795.1635838615[/C][C]153469.010226821[/C][/ROW]
[ROW][C]Covariance[/C][C]77049524.5762712[/C][/ROW]
[ROW][C]Correlation[/C][C]0.0277426566960226[/C][/ROW]
[ROW][C]Determination[/C][C]0.00076965500055337[/C][/ROW]
[ROW][C]T-Test[/C][C]0.211363132753455[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.8333448473918[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.4166724236959[/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=146277&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=146277&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
Mean36552.0833333333187270
Biased Variance316667846.97638923552737100
Biased Standard Deviation17795.1635838615153469.010226821
Covariance77049524.5762712
Correlation0.0277426566960226
Determination0.00076965500055337
T-Test0.211363132753455
p-value (2 sided)0.8333448473918
p-value (1 sided)0.4166724236959
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')