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Quantitative Methods

Quantitative Methods. An introduction to the FHS course. An introduction to the FHS course. The course text. OUP, £22.99. http://www.oup.co.uk/best.textbooks/biology/grafenhails/. An introduction to the FHS course. Preliminaries. An introduction to the FHS course. Preliminaries.

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Quantitative Methods

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  1. Quantitative Methods An introduction to the FHS course

  2. An introduction to the FHS course The course text OUP, £22.99 http://www.oup.co.uk/best.textbooks/biology/grafenhails/

  3. An introduction to the FHS course Preliminaries

  4. An introduction to the FHS course Preliminaries STN 12noon Caroline.Antlett Elizabeth.Bossom Adrian.Briggs Adrian.deFroment Sarah.Docherty Stuart.Douglas James.Gawne Phillip.Hyett Rebecca.Jeffree Mhairi.Lathe Thomas.Ross Raj.Singh Kate.Stone Andrew.Watson Louisa.Winkler STN 2pm Claire.Bernard Louise.Bradley Katie.Bulpin Victoria.Carter Peter.Collins Emma.Dawes Nicholas.Dias Katharine.Drinkwater Jocelyn.Elmes Phillipa.Gillingham Nicholas.Harding Adam.Hunter Matthew.Jones Christopher.Shelmerdine Martin.Walker STN 11am Jessica.Burt Christopher.Chappell Henry.Gill Henry.Hammerbeck Sally.Hogbin Sarah.Knowles Andrew.Lancaster Robert.Moreton Guy.Negretti Olga.Papadopoulos Olivia.Rakotomalala Madeleine.Ryan Robert.Steel Harriet.Stevens John.Walton

  5. An introduction to the FHS course Preliminaries CTO 12noon John.Coles Claire.Foggon Nicola.Frost Thomas.Gardner Neal.Haddaway Georgina.Mallows Mariana.Morales Daniel.Morgan Alison.Murray Anna.Pearson Laura.Procter Mark.Twinning Briony.Webb jennifer.williams1 Mellissa.Wong CTO 2pm Daniel.Crabtree Mark.Diffenthal James.Donald Edmund.Donovan Anisa.Fradley Jasper.Green Katy.Jordan William.Leonard Victoria.Marsh Jennifer.Robertson Sarah.Russell Joanna.Scott Adam.Willman CTO 11am Elizabeth.Aitken Shanta.Barley Claire.Chantry Harriet.Douthwaite Michael.Dowell Sean.Frisby Louise.Graver Ian.Grieve Victoria.Harding Timothy.Harris Ellen.James Patrick.Mellor Daniel.Plimmer Anna.Prior Merryn.Thomas

  6. An introduction to the FHS course Preliminaries • Read the chapter in the book, and think about how to do the exercises • Attend the lecture • Attend the practical, and do the exercises • Write up the practical later, and hand in • Retrieve the write-up the following week

  7. An introduction to the FHS course Preliminaries Basic themes • Model formulae - learn the language of statistics • Geometry - pictures are nice, nicer than algebra • Computers - do the donkey work Together, these allow you to learn the statistics you need to operate as a biologist.

  8. An introduction to the FHS course Preliminaries This Term - the GLM toolbox §1 An introduction to the FHS course and analysis of variance §2 Regression §3 Models, parameters and GLMs §4 Using more than one x-variable §5 Designing experiments §6 Combining continuous and categorical variables

  9. An introduction to the FHS course What is an Analysis of Variance?

  10. An introduction to the FHS course What is an Analysis of Variance?

  11. An introduction to the FHS course What is an Analysis of Variance?

  12. An introduction to the FHS course What is an Analysis of Variance?

  13. An introduction to the FHS course What is an Analysis of Variance?

  14. An introduction to the FHS course What is an Analysis of Variance?

  15. An introduction to the FHS course What is an Analysis of Variance?

  16. An introduction to the FHS course What is an Analysis of Variance?

  17. An introduction to the FHS course What is an Analysis of Variance?

  18. An introduction to the FHS course What is an Analysis of Variance?

  19. An introduction to the FHS course What is an Analysis of Variance? SSY = Total sum of squares SSE = Error sum of squares SSF = Fertiliser sum of squares (SSY = SSF + SSE) EMS = SSE / 27 FMS = SSF / 2 Under H0, EMS and FMS are approximately equal F = EMS/FMS should be about 1

  20. An introduction to the FHS course What is an Analysis of Variance? SSY = Total sum of squares SSE = Error sum of squares SSF = Fertiliser sum of squares (SSY = SSF + SSE) EMS = SSE / 27 FMS = SSF / 2 Under H0, EMS and FMS are approximately equal F = EMS/FMS should be about 1

  21. An introduction to the FHS course Analysis of Variance in Minitab

  22. An introduction to the FHS course Analysis of Variance in Minitab - from Minitab supplement - availability - SAS and SPSS

  23. An introduction to the FHS course Analysis of Variance in Minitab

  24. An introduction to the FHS course Analysis of Variance in Minitab

  25. An introduction to the FHS course Analysis of Variance in Minitab

  26. An introduction to the FHS course Analysis of Variance in Minitab

  27. An introduction to the FHS course Geometry and Analysis of Variance

  28. An introduction to the FHS course Geometry and Analysis of Variance

  29. An introduction to the FHS course Geometry and Analysis of Variance

  30. An introduction to the FHS course Geometry and Analysis of Variance

  31. An introduction to the FHS course Geometry and Analysis of Variance

  32. An introduction to the FHS course Geometry and Analysis of Variance

  33. An introduction to the FHS course Geometry and Analysis of Variance

  34. An introduction to the FHS course Geometry and Analysis of Variance

  35. An introduction to the FHS course Geometry and Analysis of Variance

  36. An introduction to the FHS course Geometry and Analysis of Variance

  37. An introduction to the FHS course Geometry and Analysis of Variance

  38. Y (30) deviations of plot values from grand mean FY MY [27] [29] deviations of plot values from group means F M MF (3) (1) [2] deviations of group means from grand mean An introduction to the FHS course Geometry and Analysis of Variance 3 partitions: MY = MF + FY (vector or data addition)Sums of squares add (Pythagoras)Degrees of Freedom add (dimensions)

  39. An introduction to the FHS course Geometry and Analysis of Variance

  40. An introduction to the FHS course Last words… • statistics is not maths and is not too hard • learn it while you’ve got all the help around you • isn’t it exciting that a sum of squares is a sum of squares? Next week: Regression Read Chapter 2

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