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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, 19 Dec 2018 15:44:59 +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/2018/Dec/19/t1545230871xi9j1ci47lr2bvn.htm/, Retrieved Mon, 29 Apr 2024 19:13:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=316098, Retrieved Mon, 29 Apr 2024 19:13:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact35

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] [FAT] [2018-12-19 14:44:59] [b533b184177b91add058bbf2204e0bf7] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1 1
5 1
1 1
0 1
2 1
2 1
0 1
2 1.33
1 1
0 1
2 1
2 1
3 1
2 1
1 1
0 1
0 1
0 1
1 1
3 1
0 1
0 1
1 1
0 1
1 1
0 1
0 1
2 1.25
0 1.33
1 1
0 1
1 1
1 1
0 1
3 1
2 1
1 1
0 1
1 1
1 1.3
1 1
2 1
1 1
1 1
3 1
3 1
2 1.5
1 1
1 1
2 1.33
0 1
2 1.25
1 1.33
0 1
0 0.5
0 0.5
1 1
2 1
1 1.33
2 1
0 1
0 1
0 1
0 0.83
0 1
0 1
1 1
0 1
0 1
1 1
1 1.5
1 1
1 1
1 1
1 1
1 1
1 1

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 time3 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316098&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]3 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=316098&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316098&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 time3 seconds
R ServerBig Analytics Cloud Computing Center






Tabulation of Results
fat x weight
0.50.8311.251.31.331.5
021230010
100260121
20092021
30050000
50010000

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
fat  x  weight \tabularnewline
  & 0.5 & 0.83 & 1 & 1.25 & 1.3 & 1.33 & 1.5 \tabularnewline
0 & 2 & 1 & 23 & 0 & 0 & 1 & 0 \tabularnewline
1 & 0 & 0 & 26 & 0 & 1 & 2 & 1 \tabularnewline
2 & 0 & 0 & 9 & 2 & 0 & 2 & 1 \tabularnewline
3 & 0 & 0 & 5 & 0 & 0 & 0 & 0 \tabularnewline
5 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316098&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]fat  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]0[/C][C]2[/C][C]1[/C][C]23[/C][C]0[/C][C]0[/C][C]1[/C][C]0[/C][/ROW]
[C]1[/C][C]0[/C][C]0[/C][C]26[/C][C]0[/C][C]1[/C][C]2[/C][C]1[/C][/ROW]
[C]2[/C][C]0[/C][C]0[/C][C]9[/C][C]2[/C][C]0[/C][C]2[/C][C]1[/C][/ROW]
[C]3[/C][C]0[/C][C]0[/C][C]5[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/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]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316098&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316098&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
fat x weight
0.50.8311.251.31.331.5
021230010
100260121
20092021
30050000
50010000






Tabulation of Expected Results
fat x weight
0.50.8311.251.31.331.5
00.70.3522.440.70.351.750.7
10.780.3924.940.780.391.950.78
20.360.1811.640.360.180.910.36
30.130.064.160.130.060.320.13
50.030.010.830.030.010.060.03

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
fat  x  weight \tabularnewline
  & 0.5 & 0.83 & 1 & 1.25 & 1.3 & 1.33 & 1.5 \tabularnewline
0 & 0.7 & 0.35 & 22.44 & 0.7 & 0.35 & 1.75 & 0.7 \tabularnewline
1 & 0.78 & 0.39 & 24.94 & 0.78 & 0.39 & 1.95 & 0.78 \tabularnewline
2 & 0.36 & 0.18 & 11.64 & 0.36 & 0.18 & 0.91 & 0.36 \tabularnewline
3 & 0.13 & 0.06 & 4.16 & 0.13 & 0.06 & 0.32 & 0.13 \tabularnewline
5 & 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=316098&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]fat  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]0[/C][C]0.7[/C][C]0.35[/C][C]22.44[/C][C]0.7[/C][C]0.35[/C][C]1.75[/C][C]0.7[/C][/ROW]
[C]1[/C][C]0.78[/C][C]0.39[/C][C]24.94[/C][C]0.78[/C][C]0.39[/C][C]1.95[/C][C]0.78[/C][/ROW]
[C]2[/C][C]0.36[/C][C]0.18[/C][C]11.64[/C][C]0.36[/C][C]0.18[/C][C]0.91[/C][C]0.36[/C][/ROW]
[C]3[/C][C]0.13[/C][C]0.06[/C][C]4.16[/C][C]0.13[/C][C]0.06[/C][C]0.32[/C][C]0.13[/C][/ROW]
[C]5[/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=316098&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316098&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
fat x weight
0.50.8311.251.31.331.5
00.70.3522.440.70.351.750.7
10.780.3924.940.780.391.950.78
20.360.1811.640.360.180.910.36
30.130.064.160.130.060.320.13
50.030.010.830.030.010.060.03






Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic21.04
Degrees of Freedom24
P value0.64

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Pearson Chi Square Statistic & 21.04 \tabularnewline
Degrees of Freedom & 24 \tabularnewline
P value & 0.64 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=316098&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]21.04[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]24[/C][/ROW]
[ROW][C]P value[/C][C]0.64[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=316098&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=316098&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 Statistic21.04
Degrees of Freedom24
P value0.64


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')