Quantitative Methods

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Quantitative Methods

• An introduction to the FHS course

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An introduction to the FHS course
The course text
OUP, 22.99
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An introduction to the FHS course
Preliminaries
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An introduction to the FHS course
Preliminaries
STN 11am frank.albino rebecca.anderson Aurella.An
thony Kathryn.Arblaster Chris.Armstrong Jennifer.A
ungier Richard.Baderin David.Baines Paul.Bamford E
leanor.Barrie Sarah.Beynon Laura.Bowen Patrick.Bro
ck Clare.Buckley Rachel.Butler Laura.Carder Kather
ine.Copeland Victoria.Cox
STN 12noon Alwyn.Craven Scott.Crawford Emily.croo
ks Edward.Crosthwaite Darron.Cullen Christopher.Da
vison Laura.Deakin Anna.Dennis James.Dickins Sarah
.Eglington Katherine.Fisher Rebecca.Foges Helen.Fo
nes Antonia.Ford Thomas.Frost Niamh.Gavin Lucinda.
Gordon Nicholas.Groves
STN 2pm Chloe.Haigh Jennifer.Harcourt Anna.Harnme
ijer Chloe.Healy Alexandra.Hiscox Christopher.Howa
rth Sarah.Hyland Katie.Hyson Helena.Jenkins Clare.
Johnson Suzanne.Johnson Natalie.Jones Rachel.Jones
Matthew.Jubb Luke.Kane Ilana.Levene Rhodri.Lewis
Marisa.Loach
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An introduction to the FHS course
Preliminaries
CTO 11am Magdalen.Lowes Susan.Lowrey Benjamin.Lum
ley Clare.MacDonald Solange.Mateo Rebecca.McAllist
er Fiona.McKay Dino.McMahon Nicholas.Meuli Esther.
Miller James.Milner Robert.Mrowicki Caroline.Murra
y-Lyon Julian.Neave Christine.Oconnor Daniel.Odono
ghue Kathy.Oneill Christopher.Outen
CTO 12noon Hugo.Parker Sophie.Parmenter Lauren.Pa
rr Rachel.Pateman Samuel.Peacock Gemma.Phillips Ka
tharine.Pickard Andrew.Plackett Claire.Poole Nicho
la.Preston Nicholas.Radford Emily.Richards Oliver.
Rudd Claire.Salisbury Abigail.Sheals Louise.Sherlo
ck Charlotte.Smith Chloe.Smith
CTO 2pm Oliver.Stacey Claire.Stamps Peter.Sturgeo
n Kim.Su Eleanor.Taylor Jonathan.Tobin Simon.Towns
end Jolyon.Troscianko Rachael.Twells Amelia.Van
Manen Clare.Westcott robert.williams Emma.Willis H
elen.Wong Hedi.Young Nicholas.Zarb
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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 today
  or next Wednesday
• Retrieve the write-up the following week. It will
  have been marked.

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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.
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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 7 Interactions -- getting
more complex 8 Checking the models I
independence
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An introduction to the FHS course
What is an Analysis of Variance?
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An introduction to the FHS course
What is an Analysis of Variance?
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An introduction to the FHS course
What is an Analysis of Variance?
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An introduction to the FHS course
What is an Analysis of Variance?
SSY Sum of squares of Y sum of the
squares of the dotted lengths i.e. of the
deviation of datapoint from grand mean
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An introduction to the FHS course
What is an Analysis of Variance?
SSY Sum of squares of Y sum of the
squares of the dotted lengths i.e. of the
deviation of datapoint from grand mean
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An introduction to the FHS course
What is an Analysis of Variance?
SSE Sum of squares of Error sum of
the squares of the dotted lengths i.e. of
the deviation of datapoint from group mean
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An introduction to the FHS course
What is an Analysis of Variance?
SSY Sum of squares of Y sum of the
squares of the dotted lengths i.e. of the
deviation of datapoint from grand mean
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An introduction to the FHS course
What is an Analysis of Variance?
SSE Sum of squares of Error sum of
the squares of the dotted lengths i.e. of
the deviation of datapoint from group mean
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An introduction to the FHS course
What is an Analysis of Variance?
SSF Sum of squares of Fertiliser sum
of the squares of the dotted lengths (x10)
i.e. of the deviation of group mean from grand
mean
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An introduction to the FHS course
What is an Analysis of Variance?
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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
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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
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An introduction to the FHS course
Analysis of Variance in Minitab
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An introduction to the FHS course
Analysis of Variance in Minitab
- from Minitab supplement - availability - SAS
and SPSS
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An introduction to the FHS course
Analysis of Variance in Minitab
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An introduction to the FHS course
Analysis of Variance in Minitab
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An introduction to the FHS course
Analysis of Variance in Minitab
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An introduction to the FHS course
Analysis of Variance in Minitab
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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An introduction to the FHS course
Geometry and Analysis of Variance
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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?

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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