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R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Tue, 16 Nov 2010 17:05:26 +0000

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/2010/Nov/16/t128992705927lbz2fwzkqow8f.htm/, Retrieved Sat, 04 May 2024 08:53:31 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96083, Retrieved Sat, 04 May 2024 08:53:31 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

136

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Chi-Squared and McNemar Tests] [Depression vs Con...] [2010-11-08 18:33:52] [2960375a246cc0628590c95c4038a43c]
-       [Chi-Squared and McNemar Tests] [Depression Connected] [2010-11-09 08:57:21] [c1605865773cc027e55b238d879a644c]
F   P       [Chi-Squared and McNemar Tests] [Depression en Con...] [2010-11-16 17:05:26] [c6b3e187a4a1689d42fffda4bc860ab5] [Current]
- R P         [Chi-Squared and McNemar Tests] [Depression vs con...] [2010-11-25 16:27:40] [5b90046bcdf0f277a2c54de2210570b9] 

Feedback Forum

2010-11-22 11:19:27 [7d66e2e510b144c68ca0882fd178e17c] [reply] 
Je hebt de juiste caculator gebruikt maar je hebt de verkeerde computations aangeduid. Je had bij je computations exact Pearson's Chi-squared by simulation moeten aanduiden omdat je werkt met de fijne indeling en de cell count meestal kleiner is dan 5  .Je bekomt dan deze oplossing: http://www.freestatistics.org/blog/index.php?v=date/2010/Nov/19/t1290168828g1rv3gcbp4kwr9j.htm/  Je merkt dat er weinig verschil is maar toch moeten deze computations hanteren. 
Je analyse is niet volledig gemaakt, je had ook moeten kijken naar de grafische output. Bij deze grafische output zien we dat de balken niet gekleurd zijn, dit wijst op geen significante verschillen onderling en dat er dus geen verband is. Als we het totale beeld bekijken, is er wel een significant verschil. Vervolgens zien we dat er een negatief verband is tussen depression en connected. Hoe zie je dit? De twee diagonalen spreken elkaar tegen en daarom kijken we naar de hoofddiagonaal.  Bij de balk van A, A, ligt de werkelijke waarde onder de verwachte waarde en dus is er een negatief verband. 
2010-11-23 16:15:58 [23c3e34d843bca32d327eaf7dc6bdb2b] [reply] 
De student heeft de juiste methode gebruikt. Er is een negatief verband tussen beide variabelen.

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Dataseries X:

Download CSV

Histogram

Boxplots

'B'	'A'
'C'	'A'
'A'	'D'
'B'	'D'
'A'	'B'
'B'	'B'
'A'	'A'
'C'	'B'
'D'	'B'
'B'	'A'
'D'	'A'
'D'	'B'
'A'	'A'
'A'	'A'
'D'	'C'
'A'	'C'
'A'	'B'
'C'	'A'
'D'	'A'
'B'	'C'
'D'	'C'
'A'	'D'
'B'	'A'
'A'	'A'
'C'	'A'
'D'	'A'
'C'	'B'
'A'	'C'
'A'	'C'
'B'	'B'
'D'	'D'
'A'	'D'
'D'	'A'
'C'	'B'
'B'	'B'
'D'	'C'
'A'	'D'
'B'	'B'
'D'	'D'
'D'	'B'
'D'	'A'
'A'	'B'
'D'	'A'
'A'	'B'
'C'	'A'
'B'	'A'
'D'	'A'
'C'	'C'
'A'	'B'
'C'	'A'
'D'	'C'
'A'	'C'
'A'	'C'
'A'	'B'
'C'	'C'
'B'	'A'
'B'	'A'
'D'	'D'
'D'	'A'
'A'	'B'
'A'	'D'
'B'	'A'
'B'	'B'
'A'	'D'
'B'	'B'
'C'	'B'
'A'	'B'
'B'	'D'
'B'	'A'
'A'	'B'
'B'	'A'
'A'	'D'
'B'	'B'
'D'	'A'
'C'	'B'
'A'	'A'
'B'	'A'
'A'	'B'
'B'	'D'
'D'	'A'
'C'	'C'
'D'	'A'
'D'	'B'
'B'	'A'
'B'	'C'
'B'	'C'
'B'	'A'
'B'	'C'
'A'	'D'
'A'	'C'
'B'	'D'
'A'	'B'
'B'	'B'
'A'	'C'
'D'	'D'
'C'	'A'
'A'	'A'
'C'	'B'
'C'	'A'
'D'	'C'
'D'	'A'
'A'	'A'
'B'	'B'
'C'	'C'
'A'	'C'
'A'	'A'
'C'	'A'
'A'	'A'
'A'	'B'
'A'	'A'
'A'	'D'
'A'	'D'
'C'	'C'
'A'	'C'
'B'	'A'
'D'	'A'
'A'	'C'
'B'	'B'
'D'	'C'
'A'	'A'
'A'	'C'
'A'	'D'
'C'	'A'
'D'	'A'
'C'	'C'
'C'	'D'
'D'	'A'
'D'	'A'
'C'	'C'
'B'	'B'
'C'	'C'
'A'	'D'
'D'	'A'
'A'	'D'
'B'	'A'
'A'	'C'
'A'	'D'
'A'	'B'
'A'	'D'
'C'	'B'
'B'	'D'
'D'	'C'
'A'	'D'
'B'	'D'
'B'	'D'
'C'	'A'
'B'	'C'
'B'	'B'
'C'	'C'
'A'	'B'
'B'	'A'
'A'	'A'
'D'	'B'
'B'	'B'
'A'	'B'
'A'	'C'
'A'	'B'
'A'	'C'
'C'	'C'
'D'	'B'
'A'	'C'
'A'	'B'

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96083&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96083&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96083&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	3 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Tabulation of Results
Depression x Connected
	A	B	C	D
A	12	17	15	16
B	15	13	5	7
C	10	7	10	1
D	17	6	7	4

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Depression  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 12 & 17 & 15 & 16 \tabularnewline
B & 15 & 13 & 5 & 7 \tabularnewline
C & 10 & 7 & 10 & 1 \tabularnewline
D & 17 & 6 & 7 & 4 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96083&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Depression  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]12[/C][C]17[/C][C]15[/C][C]16[/C][/ROW]
[C]B[/C][C]15[/C][C]13[/C][C]5[/C][C]7[/C][/ROW]
[C]C[/C][C]10[/C][C]7[/C][C]10[/C][C]1[/C][/ROW]
[C]D[/C][C]17[/C][C]6[/C][C]7[/C][C]4[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96083&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96083&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
Depression x Connected
	A	B	C	D
A	12	17	15	16
B	15	13	5	7
C	10	7	10	1
D	17	6	7	4

Tabulation of Expected Results
Depression x Connected
	A	B	C	D
A	20	15.93	13.7	10.37
B	13.33	10.62	9.14	6.91
C	9.33	7.43	6.4	4.84
D	11.33	9.02	7.77	5.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Depression  x  Connected \tabularnewline
  & A & B & C & D \tabularnewline
A & 20 & 15.93 & 13.7 & 10.37 \tabularnewline
B & 13.33 & 10.62 & 9.14 & 6.91 \tabularnewline
C & 9.33 & 7.43 & 6.4 & 4.84 \tabularnewline
D & 11.33 & 9.02 & 7.77 & 5.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96083&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Depression  x  Connected[/C][/ROW]
[ROW][C] [/C][C]A[/C][C]B[/C][C]C[/C][C]D[/C][/ROW]
[C]A[/C][C]20[/C][C]15.93[/C][C]13.7[/C][C]10.37[/C][/ROW]
[C]B[/C][C]13.33[/C][C]10.62[/C][C]9.14[/C][C]6.91[/C][/ROW]
[C]C[/C][C]9.33[/C][C]7.43[/C][C]6.4[/C][C]4.84[/C][/ROW]
[C]D[/C][C]11.33[/C][C]9.02[/C][C]7.77[/C][C]5.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96083&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96083&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
Depression x Connected
	A	B	C	D
A	20	15.93	13.7	10.37
B	13.33	10.62	9.14	6.91
C	9.33	7.43	6.4	4.84
D	11.33	9.02	7.77	5.88

Statistical Results
Pearson's Chi-squared test
Chi Square Statistic	18.74
Degrees of Freedom	9
P value	0.03

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test \tabularnewline
Chi Square Statistic & 18.74 \tabularnewline
Degrees of Freedom & 9 \tabularnewline
P value & 0.03 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96083&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]18.74[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]9[/C][/ROW]
[ROW][C]P value[/C][C]0.03[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96083&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96083&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
Chi Square Statistic	18.74
Degrees of Freedom	9
P value	0.03

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 500 ; par2 = 12 ;

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 != 'McNemar Chi-Squared') {
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)
a<-table.element(a, 'Chi Square Statistic', 1, TRUE)
a<-table.element(a, round(cst$statistic, digits=2), 1,FALSE)
a<-table.row.end(a)
if(!simulate.p.value){
a<-table.row.start(a)
a<-table.element(a, 'Degrees of Freedom', 1, TRUE)
a<-table.element(a, cst$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