# ezANOVA

From ez v3.0-1
0th

Percentile

##### Function to perform a factorial ANOVA

This function provides easy analysis of data from factorial experiments, including purely within-Ss designs (a.k.a. "repeated measures"), purely between-Ss designs, and mixed within-and-between-Ss designs, yielding ANOVA results and assumption checks.

##### Usage
ezANOVA(
data
, dv
, wid
, within = NULL
, between = NULL
, observed = NULL
, diff = NULL
, reverse_diff = FALSE
, type = 2
, detailed = FALSE
, return_aov = FALSE
)
##### Arguments
data
Data frame containing the data to be analyzed.
dv
.() object specifying the column in data that contains the dependent variable. Values in this column must be numeric.
wid
.() object specifying the column in data that contains the variable specifying the case/Ss identifier.
within
Optional .() object specifying one or more columns in data that contain predictor variables that are manipulated (or observed) within-Ss.
between
Optional .() object specifying one or more columns in data that contain predictor variables that are manipulated (or observed) between-Ss.
observed
Optional .() object specifying one or more columns in data that are already specified in either within or between that contain predictor variables that are observed variables (i.e. not manipulated). The presence of o
diff
Optional .() object specifying a 2-level within-Ss varbiable to collapse to a difference score.
reverse_diff
Logical. If TRUE, triggers reversal of the difference collapse requested by diff.
type
Numeric value (either 1, 2 or 3) specifying the Sums of Squares "type" to employ when data are unbalanced (eg. when group sizes differ). type = 2 is the default because this will yield identical ANOVA re
Only affects behaviour if the design contains only between-Ss predictor variables. If not FALSE, the value is passed as the white.adjust argument to Anova, which provides heteroscedasticity correction. See
detailed
Logical. If TRUE, returns extra information (sums of squares, raw likelihood ratios, AIC & BIC values used in computing corrected likelihood ratios, etc.).
return_aov
Logical. If TRUE, computes and returns an aov object corresponding to the requested ANOVA (useful for computing post-hoc contrasts).
##### Details

While within and between are both optional, at least one column of data must be provided to either within or between. Prior to running, dv is collapsed to a mean for each cell defined by the combination of wid and any variables supplied to within and/or between and/or diff.

##### Value

• A list containing one or more of the following components:
• ANOVAA data frame containing the ANOVA results.
• Mauchly's Test for SphericityIf any within-Ss variables with >2 levels are present, a data frame containing the results of Mauchly's test for Sphericity. Only reported for effects >2 levels because sphericity necessarily holds for effects with only 2 levels.
• Sphericity CorrectionsIf any within-Ss variables are present, a data frame containing the Greenhouse-Geisser & Huynh-Feldt epsilon values, and corresponding corrected p-values.
• Levene's Test for HomgeneityIf the design is purely between-Ss, a data frame containing the results of Levene's test for Homgeneity of variance. Note that Huynh-Feldt corrected p-values where the Huynh-Feldt epsilon >1 will use 1 as the correction epsilon.
• aovAn aov object corresponding to the requested ANOVA.

##### Note

Some column names in the output data frames are abbreviated to conserve space: ll{ DFn Degrees of Freedom in the numerator (a.k.a. DFeffect). DFd Degrees of Freedom in the denominator (a.k.a. DFerror). SSn Sum of Squares in the numerator (a.k.a. SSeffect). SSd Sum of Squares in the denominator (a.k.a. SSerror). F F-value. p p-value (probability of the null hypothesis given the data). p

##### References

• Bakeman, R. (2005). Recommended effect size statistics for repeated measures designs. Behavior Research Methods, 37 (3), 379-384.
• Glover S, Dixon P. (2004) Likelihood ratios: a simple and flexible statistic for empirical psychologists. Psychonomic bulletin & review, 11 (5), 791-806.

ANT, ANT2, ezANOVA, ezBoot, ezBootPlot, ezCor, ezDesign, ezMixed, link{ezMixedRel}, ezPerm, ezPlot, ezPrecis, ezPredict, ezResample, ezStats, progress_time, progress_timeCI

• ezANOVA
##### Examples
#Read in the ANT data (see ?ANT).
data(ANT)
ezPrecis(ANT)

#Run an ANOVA on the mean correct RT data.
rt_anova = ezANOVA(
data = ANT[ANT$error==0,] , dv = .(rt) , wid = .(subnum) , within = .(cue,flank) , between = .(group) ) #Show the ANOVA & assumption tests. print(rt_anova) #Run an ANOVA on the mean_rt data, ignoring group. rt_anova2 = ezANOVA( data = ANT[ANT$error==0,]
, dv = .(rt)
, wid = .(subnum)
, within = .(cue,flank)
)

#Show the ANOVA & assumption tests.
print(rt_anova2)

#Run a purely between-Ss ANOVA on the mean_rt data.
rt_anova3 = ezANOVA(
data = ANT[ANT\$error==0,]
, dv = .(rt)
, wid = .(subnum)
, between = .(group)
)

#Show the ANOVA & assumption tests.
print(rt_anova3)
Documentation reproduced from package ez, version 3.0-1, License: GPL (>= 2)

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