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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 08:59:47 -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/e49smg7l2sbsa0b1193068497.htm/, Retrieved Sun, 05 May 2024 23:16:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=1445, Retrieved Sun, 05 May 2024 23:16:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact214

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Pearson Correlation] [WS2Q10] [2007-10-22 15:59:47] [d66dce91cbb8b108f7114f1eb0c2faa2] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2354
2318
2250
2219
2206
2146
2212
2243
2275
2291
2141
2134
2180
2183
2169
2132
2092
2069
2099
2073
2051
2082
2059
2101
2158
2153
2145
2149
2135
2097
2143
2130
2132
2142
2094
2147
2203
2244
2260
2254
2231
2211
2209
2191
2210
2257
2252
2266
2264
2265
2255
2280
2288
2284
2282
2271
2296
2303
2316
2325
2415
2402
2425
2400
2424
2393
2419
2415
2425
2421
2378
2364
Dataseries Y:
Download CSV
Histogram 
352.8
458.2
461.4
422.5
338.1
326.9
414.6
412.7
369.7
409.5
354.2
351.8
333
390.7
384.4
405.6
308.8
339.4
407
371.1
374.4
393.3
328
332.6
300.4
376.1
379
377
272.8
332.4
398.4
327.2
349.1
370.4
293.4
311.9
285.6
297.9
364.2
356.8
244.1
319.5
330.1
297
310.8
315.2
295.4
297.6
264.7
347.8
394.2
343
242.9
310.8
322.9
302.9
319.1
336.4
301
296.7
258.1
320.4
365.1
325
261.1
309.3
347.1
319.8
314.5
345.8
307.6
327

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=1445&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=1445&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1445&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
Mean2233.36111111111339.252777777778
Biased Variance11104.84182098772145.96832561728
Biased Standard Deviation105.37951328881646.3245974145193
Covariance-1106.97989045383
Correlation-0.223613357066408
Determination0.0500029334585087
T-Test-1.91948900827435
p-value (2 sided)0.058999063329083
p-value (1 sided)0.0294995316645415
Degrees of Freedom70
Number of Observations72

\begin{tabular}{lllllllll}
\hline
Pearson Product Moment Correlation - Ungrouped Data \tabularnewline
Statistic & Variable X & Variable Y \tabularnewline
Mean & 2233.36111111111 & 339.252777777778 \tabularnewline
Biased Variance & 11104.8418209877 & 2145.96832561728 \tabularnewline
Biased Standard Deviation & 105.379513288816 & 46.3245974145193 \tabularnewline
Covariance & -1106.97989045383 \tabularnewline
Correlation & -0.223613357066408 \tabularnewline
Determination & 0.0500029334585087 \tabularnewline
T-Test & -1.91948900827435 \tabularnewline
p-value (2 sided) & 0.058999063329083 \tabularnewline
p-value (1 sided) & 0.0294995316645415 \tabularnewline
Degrees of Freedom & 70 \tabularnewline
Number of Observations & 72 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=1445&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]2233.36111111111[/C][C]339.252777777778[/C][/ROW]
[ROW][C]Biased Variance[/C][C]11104.8418209877[/C][C]2145.96832561728[/C][/ROW]
[ROW][C]Biased Standard Deviation[/C][C]105.379513288816[/C][C]46.3245974145193[/C][/ROW]
[ROW][C]Covariance[/C][C]-1106.97989045383[/C][/ROW]
[ROW][C]Correlation[/C][C]-0.223613357066408[/C][/ROW]
[ROW][C]Determination[/C][C]0.0500029334585087[/C][/ROW]
[ROW][C]T-Test[/C][C]-1.91948900827435[/C][/ROW]
[ROW][C]p-value (2 sided)[/C][C]0.058999063329083[/C][/ROW]
[ROW][C]p-value (1 sided)[/C][C]0.0294995316645415[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]70[/C][/ROW]
[ROW][C]Number of Observations[/C][C]72[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=1445&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=1445&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
Mean2233.36111111111339.252777777778
Biased Variance11104.84182098772145.96832561728
Biased Standard Deviation105.37951328881646.3245974145193
Covariance-1106.97989045383
Correlation-0.223613357066408
Determination0.0500029334585087
T-Test-1.91948900827435
p-value (2 sided)0.058999063329083
p-value (1 sided)0.0294995316645415
Degrees of Freedom70
Number of Observations72


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')