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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 15:52:16 +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/t1545231433m03ezil37j2f2ld.htm/, Retrieved Mon, 29 Apr 2024 19:51:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316100, Retrieved Mon, 29 Apr 2024 19:51:33 +0000

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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] [VITAMIN] [2018-12-19 14:52:16] [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	4 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 time4 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316100&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]

4 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316100&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316100&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	4 seconds
R Server	Big Analytics Cloud Computing Center

Tabulation of Results
weight x vitamins
	0	25	100
0.5	2	0	0
0.83	1	0	0
1	5	55	4
1.25	0	2	0
1.3	0	0	1
1.33	0	5	0
1.5	0	1	1

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
weight  x  vitamins \tabularnewline
  & 0 & 25 & 100 \tabularnewline
0.5 & 2 & 0 & 0 \tabularnewline
0.83 & 1 & 0 & 0 \tabularnewline
1 & 5 & 55 & 4 \tabularnewline
1.25 & 0 & 2 & 0 \tabularnewline
1.3 & 0 & 0 & 1 \tabularnewline
1.33 & 0 & 5 & 0 \tabularnewline
1.5 & 0 & 1 & 1 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316100&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]weight  x  vitamins[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]25[/C][C]100[/C][/ROW]
[C]0.5[/C][C]2[/C][C]0[/C][C]0[/C][/ROW]
[C]0.83[/C][C]1[/C][C]0[/C][C]0[/C][/ROW]
[C]1[/C][C]5[/C][C]55[/C][C]4[/C][/ROW]
[C]1.25[/C][C]0[/C][C]2[/C][C]0[/C][/ROW]
[C]1.3[/C][C]0[/C][C]0[/C][C]1[/C][/ROW]
[C]1.33[/C][C]0[/C][C]5[/C][C]0[/C][/ROW]
[C]1.5[/C][C]0[/C][C]1[/C][C]1[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316100&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316100&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
weight x vitamins
	0	25	100
0.5	2	0	0
0.83	1	0	0
1	5	55	4
1.25	0	2	0
1.3	0	0	1
1.33	0	5	0
1.5	0	1	1

Tabulation of Expected Results
weight x vitamins
	0	25	100
0.5	0.21	1.64	0.16
0.83	0.1	0.82	0.08
1	6.65	52.36	4.99
1.25	0.21	1.64	0.16
1.3	0.1	0.82	0.08
1.33	0.52	4.09	0.39
1.5	0.21	1.64	0.16

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
weight  x  vitamins \tabularnewline
  & 0 & 25 & 100 \tabularnewline
0.5 & 0.21 & 1.64 & 0.16 \tabularnewline
0.83 & 0.1 & 0.82 & 0.08 \tabularnewline
1 & 6.65 & 52.36 & 4.99 \tabularnewline
1.25 & 0.21 & 1.64 & 0.16 \tabularnewline
1.3 & 0.1 & 0.82 & 0.08 \tabularnewline
1.33 & 0.52 & 4.09 & 0.39 \tabularnewline
1.5 & 0.21 & 1.64 & 0.16 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316100&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]weight  x  vitamins[/C][/ROW]
[ROW][C] [/C][C]0[/C][C]25[/C][C]100[/C][/ROW]
[C]0.5[/C][C]0.21[/C][C]1.64[/C][C]0.16[/C][/ROW]
[C]0.83[/C][C]0.1[/C][C]0.82[/C][C]0.08[/C][/ROW]
[C]1[/C][C]6.65[/C][C]52.36[/C][C]4.99[/C][/ROW]
[C]1.25[/C][C]0.21[/C][C]1.64[/C][C]0.16[/C][/ROW]
[C]1.3[/C][C]0.1[/C][C]0.82[/C][C]0.08[/C][/ROW]
[C]1.33[/C][C]0.52[/C][C]4.09[/C][C]0.39[/C][/ROW]
[C]1.5[/C][C]0.21[/C][C]1.64[/C][C]0.16[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316100&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316100&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
weight x vitamins
	0	25	100
0.5	0.21	1.64	0.16
0.83	0.1	0.82	0.08
1	6.65	52.36	4.99
1.25	0.21	1.64	0.16
1.3	0.1	0.82	0.08
1.33	0.52	4.09	0.39
1.5	0.21	1.64	0.16

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	45.03
Degrees of Freedom	12
P value	0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 45.03 \tabularnewline
Degrees of Freedom & 12 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316100&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]45.03[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]12[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316100&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316100&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	45.03
Degrees of Freedom	12
P value	0

Figure 1

PNG link

Postscript link

PDF link

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')

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Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code