quantitative methods an introduction to the fhs course

Quantitative Methods

An introduction to the FHS course


The course text

OUP, £22.99

http://www.oup.co.uk/best.textbooks/biology/grafenhails/


Preliminaries


Preliminaries

STN 11am

Jessica.BurtChristopher.ChappellHenry.GillHenry.HammerbeckSally.HogbinSarah.KnowlesAndrew.LancasterRobert.MoretonGuy.NegrettiOlga.PapadopoulosOlivia.RakotomalalaMadeleine.RyanRobert.SteelHarriet.StevensJohn.Walton

STN 12noon

Caroline.AntlettElizabeth.BossomAdrian.BriggsAdrian.deFromentSarah.DochertyStuart.DouglasJames.GawnePhillip.HyettRebecca.JeffreeMhairi.LatheThomas.RossRaj.SinghKate.StoneAndrew.WatsonLouisa.Winkler

STN 2pm

Claire.BernardLouise.BradleyKatie.BulpinVictoria.CarterPeter.CollinsEmma.DawesNicholas.DiasKatharine.DrinkwaterJocelyn.ElmesPhillipa.GillinghamNicholas.HardingAdam.HunterMatthew.JonesChristopher.ShelmerdineMartin.Walker


Preliminaries

CTO 11am

Elizabeth.AitkenShanta.BarleyClaire.ChantryHarriet.DouthwaiteMichael.DowellSean.FrisbyLouise.GraverIan.GrieveVictoria.HardingTimothy.HarrisEllen.JamesPatrick.MellorDaniel.PlimmerAnna.PriorMerryn.Thomas

CTO 12noon

John.ColesClaire.FoggonNicola.FrostThomas.GardnerNeal.HaddawayGeorgina.MallowsMariana.MoralesDaniel.MorganAlison.MurrayAnna.PearsonLaura.ProcterMark.TwinningBriony.Webbjennifer.williams1Mellissa.Wong

CTO 2pm

Daniel.CrabtreeMark.DiffenthalJames.DonaldEdmund.DonovanAnisa.FradleyJasper.GreenKaty.JordanWilliam.LeonardVictoria.MarshJennifer.RobertsonSarah.RussellJoanna.ScottAdam.Willman

• 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


Preliminaries


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.


Preliminaries

§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

This Term - the GLM toolbox


What is an Analysis of Variance?


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


Analysis of Variance in Minitab



- from Minitab supplement

- availability

- SAS and SPSS


Geometry and Analysis of Variance


3 partitions: MY = MF + FY (vector or data addition)Sums of squares add (Pythagoras)Degrees of Freedom add (dimensions)

(1) (3)

(30)

deviations of group means from grand mean

deviations of plot values from group means

deviations of plot values from grand mean

MF

FYMY

[2]

[27][29]

M F

Y



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

quantitative methods an introduction to the fhs course

Documents

fhs course slide

fhs course preliminaries

fhs course preliminaries

fhs course preliminaries

analysis of variance

willman slide

walker slide

course text oup