Analysis of Variance (ANOVA) is a hypothesis testing procedure that tests whether two or more means are significantly different from each other.
Technical details
The Output
The example below comes from a study on cola drinking perceptions and habits.
For linear regression
The image below shows the results for a linear regression.
Each source of variance (predictor variables and residuals) is listed on a separate row. The table shows,
Sum Sq The sum of squared deviations from the mean.
d.f. The number of degrees of freedom of the source of variance.
F value The F statistic.
p The p-value - the probability of the observed data, or data showing a more extreme departure from the null hypothesis, when the null hypothesis is true.
For non-linear regression
When not performing a linear regression, the likelihood ratio chi-square is shown.
Inputs
Outcome The variable to be predicted by the predictor variables.
Predictor(s) The variable(s) to predict the outcome.
Type: The type of regression to perform.
Linear See Regression - Linear Regression.
Binary Logit See Regression - Binary Logit.
Ordered Logit See Regression - Ordered Logit.
Multinomial Logit See Regression - Multinomial Logit.
Poisson See Regression - Poisson Regression.
Quasi-Poisson See Regression - Quasi-Poisson Regression.
NBD See Regression - NBD Regression.
Missing data See Missing Data Options.
Auxiliary variables Variables to be used when imputing missing values (in addition to all the other variables in the model). Only shown when Missing data is Multiple imputation.
Output
ANOVA The ANOVA table as shown in the example above.
Summary The regression coefficients, their standard errors, t-statistics and p-values.
Detail The R output from the regression fitting.
Variable names Displays Variable Names in the output instead of labels.
Robust standard errors Computes standard errors that are robust to violations of the assumption of constant variance (i.e., heteroscedasticity). See Robust Standard Errors. This is only available when Type is Linear.
Filter The data is automatically filtered using any filters prior to estimating the model.
Weight. Where a weight has been set for the R Output, it will automatically be applied when the model is estimated. By default, the weight is assumed to be a sampling weight, and the standard errors are estimated using Taylor series linearization (by contrast, in the Legacy Regression, weight calibration is used). See Weights, Effective Sample Size and Design Effects.
Diagnostics
Acknowledgements
See Regression - Generalized Linear Model.
Method
For Displayr, see How to Create an ANOVA Table.