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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 computationWed, 20 Dec 2017 20:26:32 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Dec/20/t1513798016aw2x2t1rstu5mfi.htm/, Retrieved Sun, 19 May 2024 13:55:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=310567, Retrieved Sun, 19 May 2024 13:55:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96

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] [CST_Bay] [2017-12-20 19:26:32] [e15ab71a9de8272750f9dea79e8b66fe] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5	3
4	4
3	4
5	4
4	2
5	5
4	4
5	5
3	3
4	4
5	4
3	3
4	3
3	3
2	4
3	4
4	5
5	2
4	3
3	3
3	4
5	3
4	4
4	4
4	5
2	4
5	4
4	4
5	4
4	4
3	3
4	5
4	4
3	4
5	4
1	3
3	4
4	4
3	4
4	5
4	4
4	4
5	3
4	3
3	3
5	3
3	4
3	3
4	3
4	4
3	2
4	4
5	5
4	3
4	4
4	4
4	4
1	3
2	4
3	4
4	4
5	4
5	3
2	4
5	4
5	4
4	4
4	3
5	3
4	4
3	4
4	3
1	1
2	2
2	3
3	4
1	2
3	2
4	4
3	4
2	3
5	5
5	5
5	5
5	4
3	4
3	4
4	3
5	5
5	4
4	3
4	2
4	5
4	3
4	3
4	4
3	2
4	4
1	3
3	3
2	4
5	3
5	5
3	3
2	4
5	4
3	3
4	4
4	4
4	4
3	4
3	4
3	4
4	3
3	3
5	4
5	4
4	4
3	4
4	4
4	4
4	3
4	3
4	4
4	3
2	3
5	5
4	5
4	4
1	4
3	3
2	3
2	3
5	4
1	4
3	4
4	4
2	3
5	4
2	2
4	4
2	4
4	4
2	3
3	3
3	3
3	3
5	4
3	3
4	3
2	3
2	3
4	4
2	2
5	4
4	4
3	3
2	4
4	4
3	4
3	3
3	4
5	5
1	3
4	2
4	3
3	4
5	5
2	3
3	3
5	4
4	4
3	4
4	4
4	3
3	3
4	4
3	4
4	4

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig 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 time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310567&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]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=310567&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310567&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
Relative_Advantage x Perceived_Ease_of_Use
12345
111420
2031080
30320230
40318406
50171811

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Relative_Advantage  x  Perceived_Ease_of_Use \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 1 & 1 & 4 & 2 & 0 \tabularnewline
2 & 0 & 3 & 10 & 8 & 0 \tabularnewline
3 & 0 & 3 & 20 & 23 & 0 \tabularnewline
4 & 0 & 3 & 18 & 40 & 6 \tabularnewline
5 & 0 & 1 & 7 & 18 & 11 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310567&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Relative_Advantage  x  Perceived_Ease_of_Use[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]1[/C][C]1[/C][C]4[/C][C]2[/C][C]0[/C][/ROW]
[C]2[/C][C]0[/C][C]3[/C][C]10[/C][C]8[/C][C]0[/C][/ROW]
[C]3[/C][C]0[/C][C]3[/C][C]20[/C][C]23[/C][C]0[/C][/ROW]
[C]4[/C][C]0[/C][C]3[/C][C]18[/C][C]40[/C][C]6[/C][/ROW]
[C]5[/C][C]0[/C][C]1[/C][C]7[/C][C]18[/C][C]11[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310567&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310567&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
Relative_Advantage x Perceived_Ease_of_Use
12345
111420
2031080
30320230
40318406
50171811






Tabulation of Expected Results
Relative_Advantage x Perceived_Ease_of_Use
12345
10.040.492.644.070.76
20.121.296.9210.681.99
30.262.8315.1623.394.37
40.374.1222.0834.066.36
50.212.2712.218.813.51

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Relative_Advantage  x  Perceived_Ease_of_Use \tabularnewline
  & 1 & 2 & 3 & 4 & 5 \tabularnewline
1 & 0.04 & 0.49 & 2.64 & 4.07 & 0.76 \tabularnewline
2 & 0.12 & 1.29 & 6.92 & 10.68 & 1.99 \tabularnewline
3 & 0.26 & 2.83 & 15.16 & 23.39 & 4.37 \tabularnewline
4 & 0.37 & 4.12 & 22.08 & 34.06 & 6.36 \tabularnewline
5 & 0.21 & 2.27 & 12.2 & 18.81 & 3.51 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310567&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Relative_Advantage  x  Perceived_Ease_of_Use[/C][/ROW]
[ROW][C] [/C][C]1[/C][C]2[/C][C]3[/C][C]4[/C][C]5[/C][/ROW]
[C]1[/C][C]0.04[/C][C]0.49[/C][C]2.64[/C][C]4.07[/C][C]0.76[/C][/ROW]
[C]2[/C][C]0.12[/C][C]1.29[/C][C]6.92[/C][C]10.68[/C][C]1.99[/C][/ROW]
[C]3[/C][C]0.26[/C][C]2.83[/C][C]15.16[/C][C]23.39[/C][C]4.37[/C][/ROW]
[C]4[/C][C]0.37[/C][C]4.12[/C][C]22.08[/C][C]34.06[/C][C]6.36[/C][/ROW]
[C]5[/C][C]0.21[/C][C]2.27[/C][C]12.2[/C][C]18.81[/C][C]3.51[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310567&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310567&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
Relative_Advantage x Perceived_Ease_of_Use
12345
10.040.492.644.070.76
20.121.296.9210.681.99
30.262.8315.1623.394.37
40.374.1222.0834.066.36
50.212.2712.218.813.51






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic57.67
Degrees of Freedom16
P value0

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 57.67 \tabularnewline
Degrees of Freedom & 16 \tabularnewline
P value & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=310567&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]57.67[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]16[/C][/ROW]
[ROW][C]P value[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=310567&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=310567&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 Statistic57.67
Degrees of Freedom16
P value0


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):
par3 <- 'Pearson Chi-Squared'
par2 <- '2'
par1 <- '1'
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')