ArringtonEtAl2002 {ANOPA}

Arrington et al. (2002) dataset

Description

The data, taken from Arrington et al. (2002), is a dataset examining the distribution of fishes with empty stomachs, classified over three factors: 'Collection location' (3 levels: Africa, Central/South America, North America), 'Diel feeding behavior' (2 levels: diurnal, nocturnal), 'Trophic category' (4 levels: Detritivore, Invertivore, Omnivore, Piscivore). It is therefore a 3 × 2 × 4 design with 24 cells. The original data set also contains Order, Family and Species of the observed fishes and can be obtained from https://figshare.com/collections/HOW_OFTEN_DO_FISHES_RUN_ON_EMPTY_/3297635 It was commented in Warton and Hui (2011).

Usage

ArringtonEtAl2002

Format

A data frame.

Source

doi:10.1890/0012-9658(2002)083[2145:HODFRO]2.0.CO;2

References

Arrington DA, Winemiller KO, Loftus WF, Akin S (2002). “How often do fishes “run on empty”?” Ecology, 83(8), 2145–2151. doi:10.1890/0012-9658(2002)083[2145:HODFRO]2.0.CO;2.

Warton DI, Hui FK (2011). “The arcsine is asinine: The analysis of proportions in ecology.” Ecology, 92, 3–10. doi:10.1890/10-0340.1 .

Examples

# see the dataset
ArringtonEtAl2002

# The columns s and n indicate the number of fishes with
# empty stomachs (the "success") and the total number
# of fishes observed, respectively. Thus s/n is the proportion.

# run the ANOPA analysis
w <- anopa( {s; n} ~  Location * Diel * Trophism, ArringtonEtAl2002)

# make a plot with all the factors
anopaPlot(w)

# ... or with a subset of factors, with
anopaPlot(w, ~ Location * Trophism)

# Because of the three-way interaction, extract simple effects for each Diel
e <- emProportions( w, {s;n} ~ Location * Trophism | Diel  ) 

# As the two-way simple interaction for Nocturnal * Diel is close to significant, 
# we extract the second-order simple effects for each Diel and each Location
e <- emProportions(w, {s;n} ~ Trophism | Location * Diel  ) 
# As seen, the Trophism is significant for Noctural fishes of 
# Central/South America.