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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 09:08:51 +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/t1418548149dmoovmtl5j7lpdx.htm/, Retrieved Thu, 16 May 2024 22:33:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=267344, Retrieved Thu, 16 May 2024 22:33:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130

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] [2014-12-14 09:08:51] [d805096166fc86e79ba8d81a265cbf8d] [Current]
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Dataset

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

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267344&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267344&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267344&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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Tabulation of Results
STRESSTOT x CONFSTATTOT
7891011121314151617181920
1000000010000000
1100010002110000
1200000205220110
1310000120032000
1401102011632010
1500000102051000
1601010020111001

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline STRESSTOT x CONFSTATTOT \tabularnewline & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \tabularnewline 10 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline 11 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 2 & 1 & 1 & 0 & 0 & 0 & 0 \tabularnewline 12 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 5 & 2 & 2 & 0 & 1 & 1 & 0 \tabularnewline 13 & 1 & 0 & 0 & 0 & 0 & 1 & 2 & 0 & 0 & 3 & 2 & 0 & 0 & 0 \tabularnewline 14 & 0 & 1 & 1 & 0 & 2 & 0 & 1 & 1 & 6 & 3 & 2 & 0 & 1 & 0 \tabularnewline 15 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 2 & 0 & 5 & 1 & 0 & 0 & 0 \tabularnewline 16 & 0 & 1 & 0 & 1 & 0 & 0 & 2 & 0 & 1 & 1 & 1 & 0 & 0 & 1 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=267344&T=1

[TABLE]
[ROW]
Tabulation of Results[/C][/ROW] [ROW]STRESSTOT x CONFSTATTOT[/C][/ROW] [ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][/ROW] [C]10[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]11[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]12[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]5[/C][C]2[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][/ROW] [C]13[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]2[/C][C]0[/C][C]0[/C][C]3[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]14[/C][C]0[/C][C]1[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][C]6[/C][C]3[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][/ROW] [C]15[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]2[/C][C]0[/C][C]5[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][/ROW] [C]16[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][C]0[/C][C]0[/C][C]1[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=267344&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267344&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
STRESSTOT x CONFSTATTOT
7891011121314151617181920
1000000010000000
1100010002110000
1200000205220110
1310000120032000
1401102011632010
1500000102051000
1601010020111001






Tabulation of Expected Results
STRESSTOT x CONFSTATTOT
7891011121314151617181920
100.020.030.020.030.030.060.10.160.160.240.10.020.030.02
110.080.160.080.160.160.320.480.790.791.190.480.080.160.08
120.210.410.210.410.410.831.242.062.063.11.240.210.410.21
130.140.290.140.290.290.570.861.431.432.140.860.140.290.14
140.290.570.290.570.571.141.712.862.864.291.710.290.570.29
150.140.290.140.290.290.570.861.431.432.140.860.140.290.14
160.130.250.130.250.250.510.761.271.271.90.760.130.250.13

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline STRESSTOT x CONFSTATTOT \tabularnewline & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 & 16 & 17 & 18 & 19 & 20 \tabularnewline 10 & 0.02 & 0.03 & 0.02 & 0.03 & 0.03 & 0.06 & 0.1 & 0.16 & 0.16 & 0.24 & 0.1 & 0.02 & 0.03 & 0.02 \tabularnewline 11 & 0.08 & 0.16 & 0.08 & 0.16 & 0.16 & 0.32 & 0.48 & 0.79 & 0.79 & 1.19 & 0.48 & 0.08 & 0.16 & 0.08 \tabularnewline 12 & 0.21 & 0.41 & 0.21 & 0.41 & 0.41 & 0.83 & 1.24 & 2.06 & 2.06 & 3.1 & 1.24 & 0.21 & 0.41 & 0.21 \tabularnewline 13 & 0.14 & 0.29 & 0.14 & 0.29 & 0.29 & 0.57 & 0.86 & 1.43 & 1.43 & 2.14 & 0.86 & 0.14 & 0.29 & 0.14 \tabularnewline 14 & 0.29 & 0.57 & 0.29 & 0.57 & 0.57 & 1.14 & 1.71 & 2.86 & 2.86 & 4.29 & 1.71 & 0.29 & 0.57 & 0.29 \tabularnewline 15 & 0.14 & 0.29 & 0.14 & 0.29 & 0.29 & 0.57 & 0.86 & 1.43 & 1.43 & 2.14 & 0.86 & 0.14 & 0.29 & 0.14 \tabularnewline 16 & 0.13 & 0.25 & 0.13 & 0.25 & 0.25 & 0.51 & 0.76 & 1.27 & 1.27 & 1.9 & 0.76 & 0.13 & 0.25 & 0.13 \tabularnewline \hline \end{tabular} %Source: https://freestatistics.org/blog/index.php?pk=267344&T=2

[TABLE]
[ROW]
Tabulation of Expected Results[/C][/ROW] [ROW]STRESSTOT x CONFSTATTOT[/C][/ROW] [ROW][C] [/C][C]7[/C][C]8[/C][C]9[/C][C]10[/C][C]11[/C][C]12[/C][C]13[/C][C]14[/C][C]15[/C][C]16[/C][C]17[/C][C]18[/C][C]19[/C][C]20[/C][/ROW] [C]10[/C][C]0.02[/C][C]0.03[/C][C]0.02[/C][C]0.03[/C][C]0.03[/C][C]0.06[/C][C]0.1[/C][C]0.16[/C][C]0.16[/C][C]0.24[/C][C]0.1[/C][C]0.02[/C][C]0.03[/C][C]0.02[/C][/ROW] [C]11[/C][C]0.08[/C][C]0.16[/C][C]0.08[/C][C]0.16[/C][C]0.16[/C][C]0.32[/C][C]0.48[/C][C]0.79[/C][C]0.79[/C][C]1.19[/C][C]0.48[/C][C]0.08[/C][C]0.16[/C][C]0.08[/C][/ROW] [C]12[/C][C]0.21[/C][C]0.41[/C][C]0.21[/C][C]0.41[/C][C]0.41[/C][C]0.83[/C][C]1.24[/C][C]2.06[/C][C]2.06[/C][C]3.1[/C][C]1.24[/C][C]0.21[/C][C]0.41[/C][C]0.21[/C][/ROW] [C]13[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.29[/C][C]0.29[/C][C]0.57[/C][C]0.86[/C][C]1.43[/C][C]1.43[/C][C]2.14[/C][C]0.86[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][/ROW] [C]14[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][C]0.57[/C][C]0.57[/C][C]1.14[/C][C]1.71[/C][C]2.86[/C][C]2.86[/C][C]4.29[/C][C]1.71[/C][C]0.29[/C][C]0.57[/C][C]0.29[/C][/ROW] [C]15[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][C]0.29[/C][C]0.29[/C][C]0.57[/C][C]0.86[/C][C]1.43[/C][C]1.43[/C][C]2.14[/C][C]0.86[/C][C]0.14[/C][C]0.29[/C][C]0.14[/C][/ROW] [C]16[/C][C]0.13[/C][C]0.25[/C][C]0.13[/C][C]0.25[/C][C]0.25[/C][C]0.51[/C][C]0.76[/C][C]1.27[/C][C]1.27[/C][C]1.9[/C][C]0.76[/C][C]0.13[/C][C]0.25[/C][C]0.13[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=267344&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267344&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
STRESSTOT x CONFSTATTOT
7891011121314151617181920
100.020.030.020.030.030.060.10.160.160.240.10.020.030.02
110.080.160.080.160.160.320.480.790.791.190.480.080.160.08
120.210.410.210.410.410.831.242.062.063.11.240.210.410.21
130.140.290.140.290.290.570.861.431.432.140.860.140.290.14
140.290.570.290.570.571.141.712.862.864.291.710.290.570.29
150.140.290.140.290.290.570.861.431.432.140.860.140.290.14
160.130.250.130.250.250.510.761.271.271.90.760.130.250.13






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic83.66
Degrees of Freedom78
P value0.31

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 83.66 \tabularnewline
Degrees of Freedom & 78 \tabularnewline
P value & 0.31 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=267344&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]83.66[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]78[/C][/ROW]
[ROW][C]P value[/C][C]0.31[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=267344&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=267344&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 Statistic83.66
Degrees of Freedom78
P value0.31


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')