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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_chi_squared_tests.wasp
Title produced by softwareChi-Squared Test, McNemar Test, and Fisher Exact Test
Date of computationSun, 14 Dec 2014 11:24:36 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/14/t1418556298n3kvhp08srr36dc.htm/, Retrieved Thu, 16 May 2024 05:35:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267443, Retrieved Thu, 16 May 2024 05:35:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact82

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [chi squared depre...] [2014-12-14 11:24:36] [a08b5125cedeffe41bdfc3da279c5f53] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13 13
11 11
10 14
9 15
8 14
26 11
10 13
10 16
8 14
13 14
11 15
12 13
24 14
21 11
5 12
14 14
9 12
17 15
18 14
23 12
9 12
14 12
10 14
8 16
10 12
19 12
11 14
12 15
11 14
10 13
14 16
11 15
13 13
15 16
15 16
14 15
12 13
13 12
7 14
8 14
20 10
16 16
11 14
26 14
15 15
20 16
15 15
17 13
19 12
13 12
8 14
9 15
12 11
9 14
14 16
14 13
13 11
16 12
14 12
11 14
11 12
14 13
15 14

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267443&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267443&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267443&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'Herman Ole Andreas Wold' @ wold.wessa.net






Tabulation of Results
CESDTOT x STRESSTOT
10111213141516
50010000
70000100
80000401
90020120
100012201
110110420
120102010
130122100
140022112
150000122
160010001
170001010
180000100
190020000
201000001
210100000
230010000
240000100
260100100

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
CESDTOT  x  STRESSTOT \tabularnewline
  & 10 & 11 & 12 & 13 & 14 & 15 & 16 \tabularnewline
5 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
7 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
8 & 0 & 0 & 0 & 0 & 4 & 0 & 1 \tabularnewline
9 & 0 & 0 & 2 & 0 & 1 & 2 & 0 \tabularnewline
10 & 0 & 0 & 1 & 2 & 2 & 0 & 1 \tabularnewline
11 & 0 & 1 & 1 & 0 & 4 & 2 & 0 \tabularnewline
12 & 0 & 1 & 0 & 2 & 0 & 1 & 0 \tabularnewline
13 & 0 & 1 & 2 & 2 & 1 & 0 & 0 \tabularnewline
14 & 0 & 0 & 2 & 2 & 1 & 1 & 2 \tabularnewline
15 & 0 & 0 & 0 & 0 & 1 & 2 & 2 \tabularnewline
16 & 0 & 0 & 1 & 0 & 0 & 0 & 1 \tabularnewline
17 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \tabularnewline
18 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
19 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
20 & 1 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
21 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
23 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
24 & 0 & 0 & 0 & 0 & 1 & 0 & 0 \tabularnewline
26 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267443&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]CESDTOT  x  STRESSTOT[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][/ROW]
[C]5[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]7[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]8[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]4[/C][C]0[/C][C]1[/C][/ROW]
[C]9[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][/ROW]
[C]10[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]0[/C][C]1[/C][/ROW]
[C]11[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]4[/C][C]2[/C][C]0[/C][/ROW]
[C]12[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]13[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]14[/C][C]0[/C][C]0[/C][C]2[/C][C]2[/C][C]1[/C][C]1[/C][C]2[/C][/ROW]
[C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]2[/C][/ROW]
[C]16[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]17[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]18[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]19[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]20[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]21[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]23[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]24[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]26[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267443&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267443&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:

Tabulation of Results
CESDTOT x STRESSTOT
10111213141516
50010000
70000100
80000401
90020120
100012201
110110420
120102010
130122100
140022112
150000122
160010001
170001010
180000100
190020000
201000001
210100000
230010000
240000100
260100100






Tabulation of Expected Results
CESDTOT x STRESSTOT
10111213141516
50.020.080.210.140.290.140.13
70.020.080.210.140.290.140.13
80.080.41.030.711.430.710.63
90.080.41.030.711.430.710.63
100.10.481.240.861.710.860.76
110.130.631.651.142.291.141.02
120.060.320.830.571.140.570.51
130.10.481.240.861.710.860.76
140.130.631.651.142.291.141.02
150.080.41.030.711.430.710.63
160.030.160.410.290.570.290.25
170.030.160.410.290.570.290.25
180.020.080.210.140.290.140.13
190.030.160.410.290.570.290.25
200.030.160.410.290.570.290.25
210.020.080.210.140.290.140.13
230.020.080.210.140.290.140.13
240.020.080.210.140.290.140.13
260.030.160.410.290.570.290.25

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
CESDTOT  x  STRESSTOT \tabularnewline
  & 10 & 11 & 12 & 13 & 14 & 15 & 16 \tabularnewline
5 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
7 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
8 & 0.08 & 0.4 & 1.03 & 0.71 & 1.43 & 0.71 & 0.63 \tabularnewline
9 & 0.08 & 0.4 & 1.03 & 0.71 & 1.43 & 0.71 & 0.63 \tabularnewline
10 & 0.1 & 0.48 & 1.24 & 0.86 & 1.71 & 0.86 & 0.76 \tabularnewline
11 & 0.13 & 0.63 & 1.65 & 1.14 & 2.29 & 1.14 & 1.02 \tabularnewline
12 & 0.06 & 0.32 & 0.83 & 0.57 & 1.14 & 0.57 & 0.51 \tabularnewline
13 & 0.1 & 0.48 & 1.24 & 0.86 & 1.71 & 0.86 & 0.76 \tabularnewline
14 & 0.13 & 0.63 & 1.65 & 1.14 & 2.29 & 1.14 & 1.02 \tabularnewline
15 & 0.08 & 0.4 & 1.03 & 0.71 & 1.43 & 0.71 & 0.63 \tabularnewline
16 & 0.03 & 0.16 & 0.41 & 0.29 & 0.57 & 0.29 & 0.25 \tabularnewline
17 & 0.03 & 0.16 & 0.41 & 0.29 & 0.57 & 0.29 & 0.25 \tabularnewline
18 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
19 & 0.03 & 0.16 & 0.41 & 0.29 & 0.57 & 0.29 & 0.25 \tabularnewline
20 & 0.03 & 0.16 & 0.41 & 0.29 & 0.57 & 0.29 & 0.25 \tabularnewline
21 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
23 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
24 & 0.02 & 0.08 & 0.21 & 0.14 & 0.29 & 0.14 & 0.13 \tabularnewline
26 & 0.03 & 0.16 & 0.41 & 0.29 & 0.57 & 0.29 & 0.25 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267443&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]CESDTOT  x  STRESSTOT[/C][/ROW]
[ROW][C] [/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][/ROW]
[C]5[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]7[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]8[/C][C]0.08[/C][C]0.4[/C][C]1.03[/C][C]0.71[/C][C]1.43[/C][C]0.71[/C][C]0.63[/C][/ROW]
[C]9[/C][C]0.08[/C][C]0.4[/C][C]1.03[/C][C]0.71[/C][C]1.43[/C][C]0.71[/C][C]0.63[/C][/ROW]
[C]10[/C][C]0.1[/C][C]0.48[/C][C]1.24[/C][C]0.86[/C][C]1.71[/C][C]0.86[/C][C]0.76[/C][/ROW]
[C]11[/C][C]0.13[/C][C]0.63[/C][C]1.65[/C][C]1.14[/C][C]2.29[/C][C]1.14[/C][C]1.02[/C][/ROW]
[C]12[/C][C]0.06[/C][C]0.32[/C][C]0.83[/C][C]0.57[/C][C]1.14[/C][C]0.57[/C][C]0.51[/C][/ROW]
[C]13[/C][C]0.1[/C][C]0.48[/C][C]1.24[/C][C]0.86[/C][C]1.71[/C][C]0.86[/C][C]0.76[/C][/ROW]
[C]14[/C][C]0.13[/C][C]0.63[/C][C]1.65[/C][C]1.14[/C][C]2.29[/C][C]1.14[/C][C]1.02[/C][/ROW]
[C]15[/C][C]0.08[/C][C]0.4[/C][C]1.03[/C][C]0.71[/C][C]1.43[/C][C]0.71[/C][C]0.63[/C][/ROW]
[C]16[/C][C]0.03[/C][C]0.16[/C][C]0.41[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.25[/C][/ROW]
[C]17[/C][C]0.03[/C][C]0.16[/C][C]0.41[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.25[/C][/ROW]
[C]18[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]19[/C][C]0.03[/C][C]0.16[/C][C]0.41[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.25[/C][/ROW]
[C]20[/C][C]0.03[/C][C]0.16[/C][C]0.41[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.25[/C][/ROW]
[C]21[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]23[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]24[/C][C]0.02[/C][C]0.08[/C][C]0.21[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.13[/C][/ROW]
[C]26[/C][C]0.03[/C][C]0.16[/C][C]0.41[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.25[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267443&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267443&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Tabulation of Expected Results
CESDTOT x STRESSTOT
10111213141516
50.020.080.210.140.290.140.13
70.020.080.210.140.290.140.13
80.080.41.030.711.430.710.63
90.080.41.030.711.430.710.63
100.10.481.240.861.710.860.76
110.130.631.651.142.291.141.02
120.060.320.830.571.140.570.51
130.10.481.240.861.710.860.76
140.130.631.651.142.291.141.02
150.080.41.030.711.430.710.63
160.030.160.410.290.570.290.25
170.030.160.410.290.570.290.25
180.020.080.210.140.290.140.13
190.030.160.410.290.570.290.25
200.030.160.410.290.570.290.25
210.020.080.210.140.290.140.13
230.020.080.210.140.290.140.13
240.020.080.210.140.290.140.13
260.030.160.410.290.570.290.25






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic127.34
Degrees of Freedom108
P value0.1

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 127.34 \tabularnewline
Degrees of Freedom & 108 \tabularnewline
P value & 0.1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267443&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Pearson Chi Square Statistic[/C][C]127.34[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]108[/C][/ROW]
[ROW][C]P value[/C][C]0.1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267443&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267443&T=3

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic127.34
Degrees of Freedom108
P value0.1


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; par3 = Pearson Chi-Squared ;
R code (references can be found in the software module):
library(vcd)
cat1 <- as.numeric(par1) #
cat2<- as.numeric(par2) #
simulate.p.value=FALSE
if (par3 == 'Exact Pearson Chi-Squared by Simulation') simulate.p.value=TRUE
x <- t(x)
(z <- array(unlist(x),dim=c(length(x[,1]),length(x[1,]))))
(table1 <- table(z[,cat1],z[,cat2]))
(V1<-dimnames(y)[[1]][cat1])
(V2<-dimnames(y)[[1]][cat2])
bitmap(file='pic1.png')
assoc(ftable(z[,cat1],z[,cat2],row.vars=1,dnn=c(V1,V2)),shade=T)
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, table1[nr, nc], 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
(cst<-chisq.test(table1, simulate.p.value=simulate.p.value) )
if (par3 == 'McNemar Chi-Squared') {
(cst <- mcnemar.test(table1))
}
if (par3=='Fisher Exact Test') {
(cst <- fisher.test(table1))
}
if ((par3 != 'McNemar Chi-Squared') & (par3 != 'Fisher Exact Test')) {
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Tabulation of Expected Results',ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,paste(V1,' x ', V2),ncol(table1)+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, ' ', 1,TRUE)
for(nc in 1:ncol(table1)){
a<-table.element(a, colnames(table1)[nc], 1, TRUE)
}
a<-table.row.end(a)
for(nr in 1:nrow(table1) ){
a<-table.element(a, rownames(table1)[nr], 1, TRUE)
for(nc in 1:ncol(table1) ){
a<-table.element(a, round(cst$expected[nr, nc], digits=2), 1, FALSE)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
}
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Statistical Results',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a, cst$method, 2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
if (par3=='Pearson Chi-Squared') a<-table.element(a, 'Pearson Chi Square Statistic', 1, TRUE)
if (par3=='Exact Pearson Chi-Squared by Simulation') a<-table.element(a, 'Exact Pearson Chi Square Statistic', 1, TRUE)
if (par3=='McNemar Chi-Squared') a<-table.element(a, 'McNemar Chi Square Statistic', 1, TRUE)
if (par3=='Fisher Exact Test') a<-table.element(a, 'Odds Ratio', 1, TRUE)
if (par3=='Fisher Exact Test') {
if ((ncol(table1) == 2) & (nrow(table1) == 2)) {
a<-table.element(a, round(cst$estimate, digits=2), 1,FALSE)
} else {
a<-table.element(a, '--', 1,FALSE)
}
} else {
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
}
a<-table.row.end(a)
if(!simulate.p.value){
if(par3!='Fisher Exact Test') {
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$parameter, 1,FALSE)
a<-table.row.end(a)
}
}
a<-table.row.start(a)
a<-table.element(a, 'P value', 1, TRUE)
a<-table.element(a, round(cst$p.value, digits=2), 1,FALSE)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')