quantitative methods
DESCRIPTION
Quantitative Methods. What lies beyond?. What lies beyond?. General Linear Model. What does GLM do for us?. partitioning of variance and DF tests for whether x-variables matter statistical elimination best-fit equation showing how x-variables matter. What is general about GLM?. - PowerPoint PPT PresentationTRANSCRIPT
Quantitative Methods
What lies beyond?
What lies beyond?
General Linear Model
• categorical or continuous x-variables• main effects and interactions• any number of x-variables and interactions
• partitioning of variance and DF• tests for whether x-variables matter• statistical elimination• best-fit equation showing how x-variables matter
What is general about GLM?
What does GLM do for us?
What lies beyond?
General Linear Model
• linearity/additivity• Normality• homogeneity of variance• independence• a single y-variable
How is GLM not general?
What lies beyond?
Generalised Linear Model
• linearity/additivity• Normality• homogeneity of variance• independence• a single y-variable
The Generalised Linear Model relaxes
What lies beyond?
Generalised Linear Model
The Generalised Linear Model adds
• link function• variance function• choice for estimating or setting the ‘scale factor’
What lies beyond?
Generalised Linear Model
The Generalised Linear Model includes:
Link function Variance Function Name of model
Identity Normal GLMLogit Binomial Logistic RegressionLog Poisson Log-linear modelsInverse Exponential Survival analyses
What lies beyond?
General Linear Model
• linearity/additivity• Normality• homogeneity of variance• independence• a single y-variable
How is GLM not general?
What lies beyond?
Generalised Linear Model
• categorical or continuous x-variables• main effects and interactions• any number of x-variables and interactions
• partitioning of deviance and DF• tests for whether x-variables matter• statistical elimination• best-fit equation showing how x-variables matter
What is general about Generalised Linear Model?
What does Generalised Linear Model do for us?
What lies beyond?
General Linear Model
• linearity/additivity• Normality• homogeneity of variance• independence• a single y-variable
How is GLM not general?
What lies beyond?
General Linear Model
• linearity/additivity• Normality• homogeneity of variance• independence• a single y-variable
How is GLM not general?
What lies beyond?
Multivariate methods
• Principle components analysis• Factor analysis• Discriminant analysis• MANOVA• Cluster analysis / Numerical taxonomy
10.2 (principles of marginality), 10.4 (applications of marginality), 11.1 (calculate R2 or R2
adj), 5.3 (orthogonality)
9 (assumptions and model criticism)
9 (assumptions and model criticism)
4 (statistical elimination)
10.2 (marginality and types of SS) and 10.4 (examples)
4 (statistical elimination, legs example)
Last last words…
• Learn GLMs for the Biology course and finals• Be prepared to learn Generalised Linear Models for
more advanced problems• A chance to do an exam question in the practicals
What lies beyond?