Analysis of variance
GenStat has a comprehensive set of commands for analysis of variance. The following directives
define the models to be fitted:
defines the blocking structure of the design, and hence
the strata and error terms
specifies covariates for analysis of covariance
defines the treatment (or systematic) terms
For unstructured designs with a single error term, BLOCKSTRUCTURE need not be
specified, and COVARIATE is needed only for analysis of covariance. Balanced
designs can be analysed using the ANOVA directive.
performs analysis of variance
Directives are available to produce further output from an ANOVA analysis, or to save
information in GenStat data structures:
displays further output from analyses produced by
ANOVA
copies information from an
ANOVA analysis into
GenStat data structures
Unbalanced designs with a single error term can be be analysed using the
AUNBALANCED procedure.
performs analysis of variance for unbalanced designs
produces further output for an unbalanced design (after
AUNBALANCED)
saves output from analysis of an unbalanced design (by
AUNBALANCED)
Other procedures relevant to analysis of variance include:
plots one- or two-way tables of means from
ANOVA
plots residuals from an
ANOVA analysis
display residuals in field layout
defines covariates from a model formula for ANOVA
provides information about the settings of
ANOVA
models and variates
does random permutation tests for analysis-of-variance
tables
performs analysis of variance of a balanced or unbalanced design
with up to two treatment factors
provides further output following an analysis of variance by
A2WAY
copies information from an
A2WAY analysis into
GenStat data structures
produces graphs and statistics for bivariate analysis of
variance
finds out information about aliased model terms in analysis of
variance
performs pairwise multiple comparison tests for
ANOVA means
forms Dunnett's simultaneous confidence interval around a
control
analyses a multitiered design by analysis of variance specified by
up to 3 model formulae
displays further output for multitiered designs analysed by
AMTIER
forms the equation for a polynomial contrast fitted by
ANOVA
produces an analysis of variance for repeated
measurements
performs screening tests for designs with orthogonal block
structure
does analysis of variance for a single-channel microarray design
(parallel anova)
calculates simultaneous confidence intervals
calculates effective standard errors that give good approximate
standard errors of differences
calculates least significant intervals
plots least significant intervals, saved from
SEDLSI
calculates comparison contrasts within a multi-way table
of means
plots effects and robust s.e. estimates from designs with two-level
factors
pre-processes censored data before analysis by
ANOVA
clusters rows and columns of a two-way interaction
table
analyses full and half diallel tables with parents
allows exploratory analysis of genotype × environment
interactions
performs Friedman's nonparametric analysis of variance
fits non-linear contrasts to quantitative factors in
ANOVA
tests homogeneity of variances
calculates the Shapiro-Wilk test for Normality