FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 14:35:50 -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/t1224535010hipt7rsnfig6ge0.htm/, Retrieved Fri, 17 May 2024 03:05:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=18103, Retrieved Fri, 17 May 2024 03:05:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact139

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Pearson Correlation] [Correlation 4] [2008-10-20 20:11:08] [1ce0d16c8f4225c977b42c8fa93bc163]
-    D    [Pearson Correlation] [correlation 7] [2008-10-20 20:35:50] [8758b22b4a10c08c31202f233362e983] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
110.089
99.966
94.195
119.588
125.946
118.906
108.717
118.357
115.422
130.937
111.802
120.357
121.12
108.752
98.973
116.721
123.857
114.056
98.309
110.251
108.538
122.526
118.394
116.691
116.014
111.784
95.164
121.028
129.89
116.102
102.055
113.562
113.071
126.486
119.472
117.141
121.925
112.688
90.974
126.398
130.401
116.873
111.917
113.919
117.931
139.332
127.781
118.103
136.984
119.566
107.238
139.389
139.798
138.074
129.739
125.098
129.341
149.083
137.721
130.126
140.499
118.165
115.932
144.662
136.159
147.339
138.807
135.275
135.84
161.702
132.606
147.419
154.865
131.545
126.212
150.316
154.524
154.28
131.059
147.168
141.8
162.022
143.924
151.406
159.601
143.513
132.302
152.021
171.573
161.591
134.057
172.247
173.384
173.706
188.178
165.932
179.795
Dataseries Y:
Download CSV
Histogram 
102.304
92.21
94.286
109.345
109.86
117.246
111.809
111.632
112.409
121.071
107.623
113.404
112.668
95.427
92.277
105.719
107.744
103.928
99.202
98.849
101.745
113.954
107.602
105.701
105.36
99.026
88.89
108.373
116.241
105.09
109.849
106.491
108.557
116.774
107.602
100.462
107.728
99.877
86.387
110.637
118.557
106.845
113.374
104.78
111.239
129.093
113.399
104.622
127.335
105.192
104.149
124.768
123.846
122.667
129.199
114.973
121.42
139.194
126.568
120.341
131.997
108.813
113.012
136.439
125.17
139.811
142.757
134.35
135.657
162.163
129.7
140.799
142.35
122.134
125.81
141.304
142.108
143.785
131.428
137.147
136.219
153.798
133.063
143.912
149.099
140.254
129.512
143.443
162.133
155.445
147.506
172.927
175.685
179.308
186.447
166.948
172.428

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=18103&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=18103&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18103&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
Mean130.268701030928122.904958762887
Biased Variance413.56743672505466.75133484366
Biased Standard Deviation20.336357508783421.6044285933153
Covariance428.091711977126
Correlation0.964318206009636
Determination0.929909602441642
T-Test35.5020071517727
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom95
Number of Observations97

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 130.268701030928 & 122.904958762887 \tabularnewline
Biased Variance & 413.56743672505 & 466.75133484366 \tabularnewline
Biased Standard Deviation & 20.3363575087834 & 21.6044285933153 \tabularnewline
Covariance & 428.091711977126 \tabularnewline
Correlation & 0.964318206009636 \tabularnewline
Determination & 0.929909602441642 \tabularnewline
T-Test & 35.5020071517727 \tabularnewline
p-value (2 sided) & 0 \tabularnewline
p-value (1 sided) & 0 \tabularnewline
Degrees of Freedom & 95 \tabularnewline
Number of Observations & 97 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=18103&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]130.268701030928[/C][C]122.904958762887[/C][/ROW]
[ROW][C]Biased Variance[/C][C]413.56743672505[/C][C]466.75133484366[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]20.3363575087834[/C][C]21.6044285933153[/C][/ROW]
[ROW][C]Covariance[/C][C]428.091711977126[/C][/ROW]
[ROW][C]Correlation[/C][C]0.964318206009636[/C][/ROW]
[ROW][C]Determination[/C][C]0.929909602441642[/C][/ROW]
[ROW][C]T-Test[/C][C]35.5020071517727[/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]95[/C][/ROW]
[ROW][C]Number of Observations[/C][C]97[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=18103&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=18103&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
Mean130.268701030928122.904958762887
Biased Variance413.56743672505466.75133484366
Biased Standard Deviation20.336357508783421.6044285933153
Covariance428.091711977126
Correlation0.964318206009636
Determination0.929909602441642
T-Test35.5020071517727
p-value (2 sided)0
p-value (1 sided)0
Degrees of Freedom95
Number of Observations97


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')