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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared Test, McNemar Test, and Fisher Exact Test

Date of computation

Wed, 19 Dec 2018 14:45:16 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Dec/19/t15452299552vviq0jv9pa5l0v.htm/, Retrieved Mon, 29 Apr 2024 20:17:55 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316095, Retrieved Mon, 29 Apr 2024 20:17:55 +0000

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-       [Chi-Squared Test, McNemar Test, and Fisher Exact Test] [] [2018-12-19 13:45:16] [b533b184177b91add058bbf2204e0bf7] [Current]

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time7 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316095&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

7 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316095&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316095&T=0

As an alternative you can also use a QR Code:

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

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	7 seconds
R Server	Big Analytics Cloud Computing Center

Tabulation of Results
calories x weight
	0.5	0.83	1	1.25	1.3	1.33	1.5
50	2	0	1	0	0	0	0
70	0	0	2	0	0	0	0
80	0	1	0	0	0	0	0
90	0	0	7	0	0	0	0
100	0	0	17	0	0	0	0
110	0	0	29	0	0	0	0
120	0	0	6	1	0	3	0
130	0	0	0	1	0	1	0
140	0	0	0	0	1	1	1
150	0	0	2	0	0	0	0
160	0	0	0	0	0	0	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
calories  x  weight \tabularnewline
  & 0.5 & 0.83 & 1 & 1.25 & 1.3 & 1.33 & 1.5 \tabularnewline
50 & 2 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
70 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
80 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \tabularnewline
90 & 0 & 0 & 7 & 0 & 0 & 0 & 0 \tabularnewline
100 & 0 & 0 & 17 & 0 & 0 & 0 & 0 \tabularnewline
110 & 0 & 0 & 29 & 0 & 0 & 0 & 0 \tabularnewline
120 & 0 & 0 & 6 & 1 & 0 & 3 & 0 \tabularnewline
130 & 0 & 0 & 0 & 1 & 0 & 1 & 0 \tabularnewline
140 & 0 & 0 & 0 & 0 & 1 & 1 & 1 \tabularnewline
150 & 0 & 0 & 2 & 0 & 0 & 0 & 0 \tabularnewline
160 & 0 & 0 & 0 & 0 & 0 & 0 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316095&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]calories  x  weight[/C][/ROW]
[ROW][C] [/C][C]0.5[/C][C]0.83[/C][C]1[/C][C]1.25[/C][C]1.3[/C][C]1.33[/C][C]1.5[/C][/ROW]
[C]50[/C][C]2[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]70[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]80[/C][C]0[/C][C]1[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]90[/C][C]0[/C][C]0[/C][C]7[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]100[/C][C]0[/C][C]0[/C][C]17[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]110[/C][C]0[/C][C]0[/C][C]29[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]120[/C][C]0[/C][C]0[/C][C]6[/C][C]1[/C][C]0[/C][C]3[/C][C]0[/C][/ROW]
[C]130[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]140[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][C]1[/C][C]1[/C][/ROW]
[C]150[/C][C]0[/C][C]0[/C][C]2[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[C]160[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316095&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316095&T=1

As an alternative you can also use a QR Code:

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

Tabulation of Results
calories x weight
	0.5	0.83	1	1.25	1.3	1.33	1.5
50	2	0	1	0	0	0	0
70	0	0	2	0	0	0	0
80	0	1	0	0	0	0	0
90	0	0	7	0	0	0	0
100	0	0	17	0	0	0	0
110	0	0	29	0	0	0	0
120	0	0	6	1	0	3	0
130	0	0	0	1	0	1	0
140	0	0	0	0	1	1	1
150	0	0	2	0	0	0	0
160	0	0	0	0	0	0	1

Tabulation of Expected Results
calories x weight
	0.5	0.83	1	1.25	1.3	1.33	1.5
50	0.08	0.04	2.49	0.08	0.04	0.19	0.08
70	0.05	0.03	1.66	0.05	0.03	0.13	0.05
80	0.03	0.01	0.83	0.03	0.01	0.06	0.03
90	0.18	0.09	5.82	0.18	0.09	0.45	0.18
100	0.44	0.22	14.13	0.44	0.22	1.1	0.44
110	0.75	0.38	24.1	0.75	0.38	1.88	0.75
120	0.26	0.13	8.31	0.26	0.13	0.65	0.26
130	0.05	0.03	1.66	0.05	0.03	0.13	0.05
140	0.08	0.04	2.49	0.08	0.04	0.19	0.08
150	0.05	0.03	1.66	0.05	0.03	0.13	0.05
160	0.03	0.01	0.83	0.03	0.01	0.06	0.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
calories  x  weight \tabularnewline
  & 0.5 & 0.83 & 1 & 1.25 & 1.3 & 1.33 & 1.5 \tabularnewline
50 & 0.08 & 0.04 & 2.49 & 0.08 & 0.04 & 0.19 & 0.08 \tabularnewline
70 & 0.05 & 0.03 & 1.66 & 0.05 & 0.03 & 0.13 & 0.05 \tabularnewline
80 & 0.03 & 0.01 & 0.83 & 0.03 & 0.01 & 0.06 & 0.03 \tabularnewline
90 & 0.18 & 0.09 & 5.82 & 0.18 & 0.09 & 0.45 & 0.18 \tabularnewline
100 & 0.44 & 0.22 & 14.13 & 0.44 & 0.22 & 1.1 & 0.44 \tabularnewline
110 & 0.75 & 0.38 & 24.1 & 0.75 & 0.38 & 1.88 & 0.75 \tabularnewline
120 & 0.26 & 0.13 & 8.31 & 0.26 & 0.13 & 0.65 & 0.26 \tabularnewline
130 & 0.05 & 0.03 & 1.66 & 0.05 & 0.03 & 0.13 & 0.05 \tabularnewline
140 & 0.08 & 0.04 & 2.49 & 0.08 & 0.04 & 0.19 & 0.08 \tabularnewline
150 & 0.05 & 0.03 & 1.66 & 0.05 & 0.03 & 0.13 & 0.05 \tabularnewline
160 & 0.03 & 0.01 & 0.83 & 0.03 & 0.01 & 0.06 & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316095&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]calories  x  weight[/C][/ROW]
[ROW][C] [/C][C]0.5[/C][C]0.83[/C][C]1[/C][C]1.25[/C][C]1.3[/C][C]1.33[/C][C]1.5[/C][/ROW]
[C]50[/C][C]0.08[/C][C]0.04[/C][C]2.49[/C][C]0.08[/C][C]0.04[/C][C]0.19[/C][C]0.08[/C][/ROW]
[C]70[/C][C]0.05[/C][C]0.03[/C][C]1.66[/C][C]0.05[/C][C]0.03[/C][C]0.13[/C][C]0.05[/C][/ROW]
[C]80[/C][C]0.03[/C][C]0.01[/C][C]0.83[/C][C]0.03[/C][C]0.01[/C][C]0.06[/C][C]0.03[/C][/ROW]
[C]90[/C][C]0.18[/C][C]0.09[/C][C]5.82[/C][C]0.18[/C][C]0.09[/C][C]0.45[/C][C]0.18[/C][/ROW]
[C]100[/C][C]0.44[/C][C]0.22[/C][C]14.13[/C][C]0.44[/C][C]0.22[/C][C]1.1[/C][C]0.44[/C][/ROW]
[C]110[/C][C]0.75[/C][C]0.38[/C][C]24.1[/C][C]0.75[/C][C]0.38[/C][C]1.88[/C][C]0.75[/C][/ROW]
[C]120[/C][C]0.26[/C][C]0.13[/C][C]8.31[/C][C]0.26[/C][C]0.13[/C][C]0.65[/C][C]0.26[/C][/ROW]
[C]130[/C][C]0.05[/C][C]0.03[/C][C]1.66[/C][C]0.05[/C][C]0.03[/C][C]0.13[/C][C]0.05[/C][/ROW]
[C]140[/C][C]0.08[/C][C]0.04[/C][C]2.49[/C][C]0.08[/C][C]0.04[/C][C]0.19[/C][C]0.08[/C][/ROW]
[C]150[/C][C]0.05[/C][C]0.03[/C][C]1.66[/C][C]0.05[/C][C]0.03[/C][C]0.13[/C][C]0.05[/C][/ROW]
[C]160[/C][C]0.03[/C][C]0.01[/C][C]0.83[/C][C]0.03[/C][C]0.01[/C][C]0.06[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316095&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316095&T=2

As an alternative you can also use a QR Code:

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

Tabulation of Expected Results
calories x weight
	0.5	0.83	1	1.25	1.3	1.33	1.5
50	0.08	0.04	2.49	0.08	0.04	0.19	0.08
70	0.05	0.03	1.66	0.05	0.03	0.13	0.05
80	0.03	0.01	0.83	0.03	0.01	0.06	0.03
90	0.18	0.09	5.82	0.18	0.09	0.45	0.18
100	0.44	0.22	14.13	0.44	0.22	1.1	0.44
110	0.75	0.38	24.1	0.75	0.38	1.88	0.75
120	0.26	0.13	8.31	0.26	0.13	0.65	0.26
130	0.05	0.03	1.66	0.05	0.03	0.13	0.05
140	0.08	0.04	2.49	0.08	0.04	0.19	0.08
150	0.05	0.03	1.66	0.05	0.03	0.13	0.05
160	0.03	0.01	0.83	0.03	0.01	0.06	0.03

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	251.44
Degrees of Freedom	60
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 251.44 \tabularnewline
Degrees of Freedom & 60 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316095&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]251.44[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]60[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316095&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316095&T=3

As an alternative you can also use a QR Code:

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

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	251.44
Degrees of Freedom	60
P value	0

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

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')

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Dataset

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Input Parameters & R Code