Quantitative Methods

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/grafen
hails/
3
An introduction to the FHS course
Preliminaries
4
An introduction to the FHS course
Preliminaries
STN 12noon Caroline.Antlett Elizabeth.Bossom Adri
an.Briggs Adrian.deFroment Sarah.Docherty Stuart.D
ouglas James.Gawne Phillip.Hyett Rebecca.Jeffree M
hairi.Lathe Thomas.Ross Raj.Singh Kate.Stone Andre
w.Watson Louisa.Winkler
STN 11am Jessica.Burt Christopher.Chappell Henry.
Gill Henry.Hammerbeck Sally.Hogbin Sarah.Knowles A
ndrew.Lancaster Robert.Moreton Guy.Negretti Olga.P
apadopoulos Olivia.Rakotomalala Madeleine.Ryan Rob
ert.Steel Harriet.Stevens John.Walton
STN 2pm Claire.Bernard Louise.Bradley Katie.Bulpi
n Victoria.Carter Peter.Collins Emma.Dawes Nichola
s.Dias Katharine.Drinkwater Jocelyn.Elmes Phillipa
.Gillingham Nicholas.Harding Adam.Hunter Matthew.J
ones Christopher.Shelmerdine Martin.Walker
5
An introduction to the FHS course
Preliminaries
CTO 12noon John.Coles Claire.Foggon Nicola.Frost
Thomas.Gardner Neal.Haddaway Georgina.Mallows Mari
ana.Morales Daniel.Morgan Alison.Murray Anna.Pears
on Laura.Procter Mark.Twinning Briony.Webb jennife
r.williams1 Mellissa.Wong
CTO 11am Elizabeth.Aitken Shanta.Barley Claire.Ch
antry Harriet.Douthwaite Michael.Dowell Sean.Frisb
y Louise.Graver Ian.Grieve Victoria.Harding Timoth
y.Harris Ellen.James Patrick.Mellor Daniel.Plimmer
Anna.Prior Merryn.Thomas
CTO 2pm Daniel.Crabtree Mark.Diffenthal James.Don
ald Edmund.Donovan Anisa.Fradley Jasper.Green Katy
.Jordan William.Leonard Victoria.Marsh Jennifer.Ro
bertson Sarah.Russell Joanna.Scott Adam.Willman
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
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 youve got all the help around you
• isnt it exciting that a sum of squares is a sum
  of squares?

Next week Regression Read Chapter 2