Archive:Advanced ANOVA/Factorial ANOVA - Revision history

wikademia>Wikademia: moved Advanced ANOVA/Factorial ANOVA to Archive:Advanced ANOVA/Factorial ANOVA

2009-05-27T05:49:29Z

moved Advanced ANOVA/Factorial ANOVA to Archive:Advanced ANOVA/Factorial ANOVA

← Older revision	Revision as of 05:49, 27 May 2009
(No difference)

wikademia>Wikademia: 54 revisions

2009-04-08T04:25:20Z

54 revisions

← Older revision	Revision as of 04:25, 8 April 2009
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wikademia>Jtneill: Category:{{BASEPAGENAME}}

2008-12-03T00:12:27Z

[[Category:{{BASEPAGENAME}}]]

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	* [http://ucspace.canberra.edu.au/display/RMPE/Factorial+ANOVA Factorial ANOVA] (ucspace)		* [http://ucspace.canberra.edu.au/display/RMPE/Factorial+ANOVA Factorial ANOVA] (ucspace)
	** [http://ucspace.canberra.edu.au/download/attachments/45090983/Factorial+ANOVA+Notes.doc Factorial ANOVA Notes] (Handout; 2007)		** [http://ucspace.canberra.edu.au/download/attachments/45090983/Factorial+ANOVA+Notes.doc Factorial ANOVA Notes] (Handout; 2007)
	{{~~RPME~~}}
			[[Category:{{BASEPAGENAME}}]]

wikademia>Jtneill: Research methods and professional ethics/Factorial ANOVA moved to Advanced ANOVA/Factorial ANOVA

2008-12-02T23:34:17Z

Research methods and professional ethics/Factorial ANOVA moved to Advanced ANOVA/Factorial ANOVA

← Older revision	Revision as of 23:34, 2 December 2008
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wikademia>Jtneill: /* Effect sizes */

2008-10-08T00:02:04Z

Effect sizes

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 * [[Cohen's d|Cohen's ''d'']]
 * [[Eta-squared]]
 ==See also==

wikademia>Jtneill: /* External links */

2008-10-07T09:36:20Z

External links

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	==External links==		==External links==
	* [http://ucspace.canberra.edu.au/display/RMPE/Factorial+ANOVA Factorial ANOVA] (ucspace)		* [http://ucspace.canberra.edu.au/display/RMPE/Factorial+ANOVA Factorial ANOVA] (ucspace)
	** [http://ucspace.canberra.edu.au/download/attachments/45090983/Factorial+ANOVA+Notes.doc Factorial ANOVA Notes] (Handout)		** [http://ucspace.canberra.edu.au/download/attachments/45090983/Factorial+ANOVA+Notes.doc Factorial ANOVA Notes] (Handout; 2007)
	{{RPME}}		{{RPME}}

wikademia>Jtneill: /* Descriptives */

2008-10-07T09:31:55Z

Descriptives

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	==Descriptives==		==Descriptives==
	# A table of descriptive statistics (''M'', ''SD'', Skewness, and Kurtosis) for each cell and for each marginal total, and grand total should be presented when reporting results.		# A table of descriptive statistics (''M'', ''SD'', Skewness, and Kurtosis) for each cell and for each marginal total, and grand total should be presented when reporting results.
	# For a 2-way ANOVA, the descriptives table ~~should~~ breakdown one IV in the columns and the other IV in the rows, such as illustrated in the following ~~basic table design.~~		# For a 2-way ANOVA, the descriptives table it is recommended to provide a breakdown of one IV in the columns and the other IV in the rows, such as illustrated in the following tables.
	~~# Note that each of the three columns on the right should be further split into five columns to allow reporting of ''M'', ''SD'', Skewness, and Kurtosis, ''n''~~.

	{\| border="1" cellpadding="5" cellspacing="0" align="center"		{\| border="1" cellpadding="5" cellspacing="0" align="center"
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	\|}		\|}

	~~Expanded~~, the descriptive ~~table~~ layout could look like this (note ~~this second table switches the~~ rows and columns from the table above - this is somewhat arbitrary):		Note that each of the three columns on the right should be further split into five columns to allow reporting of ''M'', ''SD'', Skewness, and Kurtosis, ''n''. So, the expanded descriptive tables layout could look like this: (note that rows and columns have been swapped around from the table above - this is somewhat arbitrary):

	{\| border="1" cellpadding="5" cellspacing="0" align="center"		{\| border="1" cellpadding="5" cellspacing="0" align="center"

wikademia>Jtneill: /* General steps */

2008-10-07T09:29:33Z

General steps

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	#** Planned contrasts (if warranted)		#** Planned contrasts (if warranted)
	# Examine assumptions:		# Examine assumptions:
	# IVs (categorical; between-subjects) and DV (at least interval)		#* IVs (categorical; between-subjects) and DV (at least interval)
	#* The data in each cell is normally distributed		#* The data in each cell is normally distributed
	#* Homogeneity of variance (the variance in each cell is similar)		#* Homogeneity of variance (the variance in each cell is similar)
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	# Calculate and interpret effect sizes		# Calculate and interpret effect sizes
	#* Eta-square (omnibus - equivalent to ''R''<sup>2</sup>)		#* Eta-square (omnibus - equivalent to ''R''<sup>2</sup>)
	#* Standardised mean effect size (difference b/w two means)		#* Standardised mean effect size (difference b/w two means) e.g., [[Cohen's d\|Cohen's ''d'']]

	==Example SPSS outputs==		==Example SPSS outputs==

wikademia>Jtneill: /* Design */

2008-10-07T09:28:41Z

Design

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	==Design==		==Design==
	'''Factorial ANOVA''' involves testing differences between group means based on two or more categorical [[independent variable]]s, with a single, continuous [[dependent variable]]. In other words, a factorial ANOVA could involve:		'''Factorial ANOVA''' involves testing of differences between group means based on two or more categorical [[independent variable]]s (IVs), with a single, continuous [[dependent variable]] (DV). In other words, a factorial ANOVA could involve:
	* Two or more between subjects categorical/ordinal IVs		* Two or more between-subjects categorical/ordinal IVs
	* One interval or ratio DV		* One interval or ratio DV

	~~For example, "What is the effect of Gender (2) and Degree Type (3) on Overall Student Satisfaction?"~~		The results of interest are:
	~~We could describe this as a 2 x 3 Factorial ANOVA.~~

	~~For a factorial ANOVA, the~~ results of interest are:
	* Main effect for IV1		* Main effect for IV1
	* Main effect for IV2		* Main effect for IV2
	* Interaction between IV1 and IV2		* Interaction between IV1 and IV2

	If significant effects are found and more than two levels of an IV are involved, then ~~specific contrasts are required~~, which could be either:		If significant effects are found and more than two levels of an IV are involved, then provide follow-up tests, which could be either:
	* A priori (planned) contrasts		* A priori (planned) contrasts
	* Post-hoc contrasts		* Post-hoc contrasts
	(~~with~~ appropriate control of the family-wise Type I error rate)		(Note: Use appropriate control of the family-wise Type I error rate)

			[[Effect sizes]] should also be reported. Eta-squared provides an estimate of the percentage of variance in the DV explained by each main effect and interaction effect. Cohen's ''p'' provides an estimate of the size of differences between two groups in standard deviation groups.

	~~[[Effect sizes]] should also~~ be ~~reported~~.		==Example==
			"What is the effect of Gender (2) and Degree Type (3) on Overall Student Satisfaction?"
			This could be described as a 2 (Gender) by 3 (Degree Type) factorial ANOVA.

	==General steps==		==General steps==

wikademia>Jtneill: /* Effect sizes */

2008-10-07T09:11:14Z

Effect sizes

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	*** [http://www.pearsoned.com.au/wpsBridge/francis5/files/motiv.sav Motiv.sav]		*** [http://www.pearsoned.com.au/wpsBridge/francis5/files/motiv.sav Motiv.sav]

	==Effect ~~sizes~~==		==[[Effect size]]s==
			* [[Cohen's d\|Cohen's ''d'']]
	* [[Eta-squared]]		* [[Eta-squared]]