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continuous
variables measured on a continuous numerical scale (e.g. heights, habitat coverage, species richness)
categorical
variables with one or more unique categories (e.g. sex (male/female), trophic level (producer, herbivore, carnivore), etc.)
dichotomous
type of categorical variable where there are only two possible categories or levels (e.g. sex (male/female))
single regression
for each replicate, measure both the predictor (independent) and response (dependent) variables
treatments
in ANOVA, different categories of predictor (independent) variables
replicates
in ANOVA, within each treatment multiple observations are made
single-factor design
ANOVA design where each treatment represents variation in a single predictor (independent) variable or factor
multi-factor design
ANOVA design where treatments cover two or more different factors (independent variables)
main effects
in two-way ANOVA, additive effect of factor 1 would be measured as the response of the treatment group at each factor 1 level averaged over the responses to factor 2 levels (which is more important)
additive effect
two factors/treatments combine so that the total combined outcome equals the simple sum of their individual effect acting alone
interaction effects
high factor 1 levels and high factor 2 levels might have a synergistic effect (combined result greater than the sum) you might not see in a single-factor experiment
block
an area or time period over which conditions are relatively homogenous. conditions within them should be more similar than between them
nested
ANOVA design that has sub-sampling within the replicates. number of replicates doesn’t change, but can take multiple measurements across each one
factorial
layout design of a two-way ANOVA. two or more factors are tested simultaneously in one experiment. treatments are fully crossed or orthogonal
split-plot
ANOVA design where treatment is applied to an entire block. similar to a random block, but has a second treatment added
circularity
both the randomized block and repeated measures designs have this assumption for the within-subjects factor
between-subjects factor
corresponds to the whole plot
within-subjects factor
corresponds to different times
randomized block
variance of the difference between any pair treatments in the block is the same
repeated measure
variance of the difference of observations between any pair of times is the same. multiple observations on the same replicate are collected at different times
BACI (before after control impact)
NOT an ANOVA design. measurements are taken before and after a treatment (having an event and looking at the control before the event and the impact after the event)