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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_chi_squared_tests.wasp

Title produced by software

Chi-Squared and McNemar Tests

Date of computation

Tue, 16 Nov 2010 22:36:15 +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/t1289946972e43a8byekeumjrt.htm/, Retrieved Sat, 04 May 2024 21:42:45 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=96467, Retrieved Sat, 04 May 2024 21:42:45 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

126

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

-     [ECEL 2008] [ECEL2008 hypothes...] [2008-06-14 21:17:24] [74be16979710d4c4e7c6647856088456]
F RMPD  [Chi-Squared and McNemar Tests] [vraag 1: Happines...] [2010-11-11 07:53:21] [9f32078fdcdc094ca748857d5ebdb3de]
F         [Chi-Squared and McNemar Tests] [WS6 Chi-Squared t...] [2010-11-16 22:05:45] [b9f5bf8f9089a40337275cf2fd2f13a1]
F   P         [Chi-Squared and McNemar Tests] [WS6 Chi-Squared T...] [2010-11-16 22:36:15] [766d4bb4f790a2464f86fcafbf87a680] [Current]
F   P           [Chi-Squared and McNemar Tests] [WS6 Chi-Squared T...] [2010-11-16 22:45:37] [b9f5bf8f9089a40337275cf2fd2f13a1] 
F   P           [Chi-Squared and McNemar Tests] [WS6 Chi-Squared T...] [2010-11-16 22:47:59] [b9f5bf8f9089a40337275cf2fd2f13a1] 

Feedback Forum

2010-11-20 10:47:57 [Stefanie Van Esbroeck] [reply] 
Wederom dezelfde feedback als bij de vorige berekening. Je maakte een correcte berekening. Misschien ook hier weer een kleine nuance: als ik naar je titel kijk, zou ik verwachten dat je als factor 1 Depression ingeeft en als factor 2 Connected. Maar je geeft bij je paramaters het omgekeerde in. Er werd ook hier de juiste test gebruikt.  
 
Je vormt een correcte conclusie. Je kijkt wel opnieuw enkel naar de p-waarde en naar het feit of deze groter of kleiner is dan de door u opgestelde type 2 fout. Je had ook hier de conclusie nog kunnen uitbreiden door naar de grafiek te kijken. Eerst kijk je naar de kleur van de blokken. Die hebben allemaal een grijze kleur. Dit wijst erop dat de cellen onderling geen significante verschillen vertonen. Daarna bekijk je de hoofddiagonaal. Daar zie je dat de blokken allemaal naar beneden wijzen. Dit zegt dat de reële frequentie lager is dan de verwachte frequentie (stippellijn). Dan kijk je naar de andere diagonaal. Hier zie je dat de blokken allemaal hoger dan de stippellijn liggen wat er op wijst dat de reële frequentie hoger is dan de verwachte frequentie. Deze twee diagonalen spreken elkaar tegen, dus kunnen we stellen dat er een verband bestaat. Omdat de hoofddiagonaal negatief is, bestaat er een negatief verband, maar dit is niet signifcant (grijze kleur van de blokken) dus we zeggen dat er geen verband is. 
 
Je had ook kunnen kijken naar de verfijnde oplossing. Hieronder kan je een correcte berekening terugvinden van een verfijnde oplossing: http://www.freestatistics.org/blog/index.php?v=date/2010/Nov/18/t12900856873pn9g2meg8fz24d.htm/ 

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Dataseries X:

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Histogram

Boxplots

'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
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'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
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'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
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'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'	'HI'	'LO'	'LO'
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'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
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'HI'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
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'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
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'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'	'HI'	'LO'	'LO'
'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'
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'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'LO'	'LO'	'LO'	'LO'	'HI'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'	'LO'	'LO'	'LO'
'HI'	'LO'	'LO'	'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
'HI'	'HI'	'LO'	'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
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'HI'	'LO'	'HI'	'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'LO'
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'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'HI'
'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'HI'	'LO'	'HI'	'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'	'LO'	'LO'	'LO'
'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'HI'	'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'	'LO'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'	'LO'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'HI'	'HI'	'LO'	'LO'
'HI'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'	'HI'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'
'HI'	'HI'	'HI'	'HI'	'HI'	'LO'	'HI'
'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'
'HI'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'
'LO'	'LO'	'HI'	'LO'	'LO'	'LO'	'LO'
'LO'	'LO'	'LO'	'HI'	'LO'	'HI'	'LO'
'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'HI'
'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'HI'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'HI'	'LO'	'LO'
'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
'LO'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'
'LO'	'HI'	'HI'	'HI'	'HI'	'HI'	'HI'
'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'LO'	'LO'	'LO'	'HI'	'LO'	'HI'
'LO'	'LO'	'HI'	'HI'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'LO'
'LO'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'
'HI'	'LO'	'LO'	'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'LO'	'LO'	'HI'	'HI'	'HI'
'HI'	'HI'	'LO'	'HI'	'LO'	'HI'	'HI'
'HI'	'HI'	'HI'	'LO'	'HI'	'LO'	'LO'
'HI'	'HI'	'HI'	'LO'	'LO'	'HI'	'LO'
'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'
'LO'	'LO'	'LO'	'LO'	'LO'	'HI'	'HI'
'HI'	'LO'	'HI'	'HI'	'LO'	'HI'	'LO'
'LO'	'HI'	'LO'	'LO'	'HI'	'HI'	'LO'
'LO'	'HI'	'LO'	'LO'	'HI'	'LO'	'HI'
'HI'	'LO'	'HI'	'HI'	'LO'	'LO'	'HI'
'LO'	'HI'	'LO'	'LO'	'LO'	'HI'	'HI'
'HI'	'HI'	'LO'	'LO'	'LO'	'HI'	'LO'

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	'Gwilym Jenkins' @ 72.249.127.135

\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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96467&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96467&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96467&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	'Gwilym Jenkins' @ 72.249.127.135

Tabulation of Results
Connected x Depression
	HI	LO
HI	57	40
LO	43	22

\begin{tabular}{lllllllll}
\hline
Tabulation of Results \tabularnewline
Connected  x  Depression \tabularnewline
  & HI & LO \tabularnewline
HI & 57 & 40 \tabularnewline
LO & 43 & 22 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96467&T=1

[TABLE]
[ROW][C]Tabulation of Results[/C][/ROW]
[ROW][C]Connected  x  Depression[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]57[/C][C]40[/C][/ROW]
[C]LO[/C][C]43[/C][C]22[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96467&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96467&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
Connected x Depression
	HI	LO
HI	57	40
LO	43	22

Tabulation of Expected Results
Connected x Depression
	HI	LO
HI	59.88	37.12
LO	40.12	24.88

\begin{tabular}{lllllllll}
\hline
Tabulation of Expected Results \tabularnewline
Connected  x  Depression \tabularnewline
  & HI & LO \tabularnewline
HI & 59.88 & 37.12 \tabularnewline
LO & 40.12 & 24.88 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96467&T=2

[TABLE]
[ROW][C]Tabulation of Expected Results[/C][/ROW]
[ROW][C]Connected  x  Depression[/C][/ROW]
[ROW][C] [/C][C]HI[/C][C]LO[/C][/ROW]
[C]HI[/C][C]59.88[/C][C]37.12[/C][/ROW]
[C]LO[/C][C]40.12[/C][C]24.88[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96467&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96467&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
Connected x Depression
	HI	LO
HI	59.88	37.12
LO	40.12	24.88

Statistical Results
Pearson's Chi-squared test with Yates' continuity correction
Chi Square Statistic	0.61
Degrees of Freedom	1
P value	0.43

\begin{tabular}{lllllllll}
\hline
Statistical Results \tabularnewline
Pearson's Chi-squared test with Yates' continuity correction \tabularnewline
Chi Square Statistic & 0.61 \tabularnewline
Degrees of Freedom & 1 \tabularnewline
P value & 0.43 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=96467&T=3

[TABLE]
[ROW][C]Statistical Results[/C][/ROW]
[ROW][C]Pearson's Chi-squared test with Yates' continuity correction[/C][/ROW]
[ROW][C]Chi Square Statistic[/C][C]0.61[/C][/ROW]
[ROW][C]Degrees of Freedom[/C][C]1[/C][/ROW]
[ROW][C]P value[/C][C]0.43[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=96467&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=96467&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 with Yates' continuity correction
Chi Square Statistic	0.61
Degrees of Freedom	1
P value	0.43

Figure 1

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 6 ; par3 = Pearson Chi-Squared ;

Parameters (R input):

par1 = 1 ; par2 = 6 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code