Models, parameters and GLMs

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Presentation transcript:

Models, parameters and GLMs Quantitative Methods Models, parameters and GLMs

Models Models, parameters and GLMs Y =  +  Unknown quantities we would like to know, in Greek Known quantities that are estimates of them, in Latin

Models, parameters and GLMs General Linear Model

Models, parameters and GLMs Aliassing

Models, parameters and GLMs Aliassing

Models, parameters and GLMs Aliassing

Models, parameters and GLMs Aliassing

Models, parameters and GLMs GLMs in Minitab √

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference God’s view: , 1, 2 are known, and y, a1, a2 are unpredictable Our view: y, a1, a2 are known, and we need to guess , 1, 2

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference true 1 possible a1 observed a1 inferred 1

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference true 1 possible a1 observed a1 inferred 1

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference true 1 possible a1 observed a1 inferred 1

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference true 1 possible a1 observed a1 inferred 1

Logic of statistical inference Models, parameters and GLMs Logic of statistical inference true 1 possible a1 observed a1 inferred 1

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab √

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Simulations in Minitab Models, parameters and GLMs Simulations in Minitab

Next week: Using more than one explanatory variable Models, parameters and GLMs Last words… GLMs unite ANOVA (categorical X) and regression (continuous X), and use model formulae ‘Parameter’ and ‘estimate’ are central ideas Enjoy playing God for once, and knowing all the answers Next week: Using more than one explanatory variable Read Chapter 4