Use one-way ANOVA to determine whether data from several groups (levels) of a single factor have a common mean.
In two-way ANOVA, the effects of two factors on a response variable are of interest.
In N-way ANOVA, the effects of N factors on a response variable are of interest.
ANOVA with random effects is used where a factor's levels represent a random selection from a larger (infinite) set of possible levels.
N-way ANOVA can also be used when factors are nested, or when some factors are to be treated as continuous variables.
Multiple comparison procedures can accurately determine the significance of differences between multiple group means.
Analysis of covariance is a technique for analyzing grouped data having a response (y, the variable to be predicted) and a predictor (x, the variable used to do the prediction).
Statistics and Machine Learning Toolbox™ functions include nonparametric versions of one-way and two-way analysis of variance.
Analysis of variance (ANOVA) is a procedure for assigning sample variance to different sources and deciding whether the variation arises within or among different population groups.