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Identifying independence and
assigning samples to groups
I declare
independence!
Not quite Conro!
Experimental
design: part4
At the end of the
experiment you will
perform statistical
analyses on your data
And you will plot
graphs showing your
results But what
constitutes a
data point?
The key
considerations is
independence here
How related are the
samples to one
another? Where are
the sources of
variability
Before we can decide
how many samples to
collect, we need to decide
what those samples are
Let’s start with
human studies
The biggest source of
variability is between
individuals
Most of the time you
would consider each
individual person as a
separate data point
If you take multiple measurements of
the same thing in the same person
then those data would make you
more confident about the value you
got for that individual but wouldn’t
tell you more about the population
You will use the mean
or median of the
multiple
measurements in your
final statistical analysis
But ultimately 1 person
= 1 data point
For example: if you had a pair of
twins in your study, you might
expect them to respond to your
treatment in similar ways. It
might be inappropriate to
consider them as indepedent
data points
The challenge in relation to
independence comes when
there are connections
between the participants
Same idea with people
who live together, go to the
same school, work
together or whatever!
There aren’t one size
fits all rules here. You
have to be the one
that decides
Consider what the
harshest critic of your
work would say
You have to ask, what
connections are
relevant to your
study?
Whatever you decide,
you will have to justify
the decision
Let’s move on to
animal studies
Mice, rats, cows etc
are social animals,
they are housed
together
Your treatment,
whatever it is, may
cause other animals
that share an
enclosure to respond
Squeak Squeak
Squeak
Squeak
If the differences in
response between cages
are not the same as the
differences in response
for animals within the
same cage
Then your
experimental unit
should be the cage
Note that the within
cage effects happen a
lot, it is safer to
assume that it will for
your study!
In this set up if all the
brown mice got
treatment 1, and the
white mice treatment
2
The sample size would be
4, for the 4 cages, rather
than 8 for the 8 mice
getting treated
Isn’t that a waste
of animals?
Isn’t that a waste
of animals?
Yes, it could be!
It could also be a waste of
time, money and resources.
This is why you should think
about these things before
your experiment!
It’s ethically
unforgivable for poor
experimental design to
waste experimental
units
One more example:
let’s look at cell
culture-type
experiments
A standard sort of
experimental set up might
involve taking one flask of cells
and splitting it into multiple
wells of a single multi-well dish
Treatments would then be
applied to the different
wells in the dish
Although you would get 6
readings per coloured
treatment, each reading
isn’t independent
They’ve been cultured
together, treated
together, exposed to the
same environmental
conditions etc
The six values will be
conflated to 1 per
treatment in your
final analysis
The six replicates here
would all contribute to
the one data point
So why would
you do 6 at all?
If you made a mistake in
any one well, or got some
other spurious result, it
would have a smaller
impact on the overall
findings
In this sort of set up,
people often talk about
“biological” or
“experimental” repeats”
and “technical repeats”
The biological repeat
refers to the whole
experiment: 1 flask to one
set of data
Technical repeat are the
data from the individual
wells or equivalent (mice
of the same cage)
What one researcher defines
as a “biological” repeat may
not be the same as another
person doing the same
experiment
So, it is important that you
can justify your choice and
when you write up your work
you make it clear what you
mean
For example: one stock
flask of cells split into 3
sub flasks and each sub-
flask gives one 24 well
plate
For some experiments you
might justify saying this is 3
biological repeats, but for
others it would just count as 1.
The answer depends on where
the variability is.
Let’s talk about one more
situation where identifying
potential for problems of
replicates not actually being
independent
Specifically we are going to
look at taking
measurements through
time
If you are considering an
experiment where you take the
same samples and treat twice
you need to be sure that the
first treatment doesn’t affect
the second measurement
A
+
Let’s look at the same
experiment we discussed
before:
Reading 1
Time (washout
period)
B
+ Reading 2
You really don’t
want there to be
an order effect
Ideally your pilot
data will let you
know how long to
leave between
treatments
However, if you can’t
remove the effect of the
first treatment, then you
might not be able to use
paired analysis
Randomisation and assigning
groups
I see an issue with
your group
assignments
Leeburt’s group Conro’s group
What? You told me
to be random
And all the young
women ended up in
your study group? yeah, pure
coincidence
You should be able to
defend your group choices
to your harshest critic
Let’s look at ways you can
go about assigning
experimental units to
different treatment groups
Fully Randomised
Probably the most obvious way
is to completely randomise
which group you assign your
experimental units to
A random number generator
should be used rather than
manually trying this, as humans
will always introduce patterns
subconsciously
Fully Randomised
Why wouldn’t you
fully randomise?
Although full randomisation
removes researcher bias it
doesn’t allow you any chance
to control for confounding
variables
Stratified,
then randomised
A common approach is to
split your population into
groups and then randomly
assign sub-groups afterward
Stratified,
then randomised
For example, we might
consider gender to be a
confounding variable and so
we split the group first based
on gender
Doing this will help
ensure that the gender
balance is roughly equal
Then assign groups
from the sub
populations
Stratified,
then randomised
It might be appropriate to
stratify on age as well as
gender
If you had 2 study populations
from this cohort. Then each would
have 1 x older women, 3 or 4
older men, 7 younger men and 2
or 3 younger women
Stratified,
then randomised
How much stratification you do
depends on the overall study
population size and what you think
matters to the interpretation
Stratification should be
prioritised to control for the
confounder that will have the
biggest effect
Non-equal groups
Usually you will be able to
use stronger statistical tests
when your group sizes are
the same
However, there may be practical
or ethical reasons why you might
not want to have uneven groups
So, try to balance in terms of
numbers whenever you can
Can you think of any
reason why?
Treatment Group Control Group
Non-equal groups
Treatment Group
Control Group
If the treatment
might cause harmful
side-effects
Yes, unequal groups may
not be ideal in terms of
stats but they can be the
correct thing to do ethically
Less animals / humans will
suffer harm and you will still
be able to answer your
question
Position and order effects
It’s not just who is in which
group that matters
For example, surgeons will get
better at a surgical technique
the more they perform it
Or might be better at the
beginning of their shift
compared with the end
You also need to consider
the experimenter involved
in the research
Position and order effects
You may also need to control for
which scientist is doing the
research.
This is particularly true wherever
interaction with the participants
is involved such as in collecting
patient details
Or if there is a
subjective
measurement
involved
Position and order effects
Position and order effects are
also relevant in lab work
Setting up your plate like
this might make it easier
to set up
But you won’t know if the
effect is due to the treatment
or whether it’s he location or
order matter
Position and order effects
Experiment 1
Experiment 2
Experiment 3
In addition, to randomisation
within experiments, the set up
should be different between
each experiment
Part 4 Recap.
Make sure your samples are truly independent
Randomize everything you can, every time you can.
Position, order, experimenter.
Use groupings as a way to remove the effect of confounding
variables from your interpretation
Videos
Don’t worry Liam, the
next video will make the
process much easier!
Umar John Liam
Conro

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Experimental design part 4 groups

  • 1. Identifying independence and assigning samples to groups I declare independence! Not quite Conro! Experimental design: part4
  • 2. At the end of the experiment you will perform statistical analyses on your data And you will plot graphs showing your results But what constitutes a data point? The key considerations is independence here How related are the samples to one another? Where are the sources of variability Before we can decide how many samples to collect, we need to decide what those samples are
  • 3. Let’s start with human studies The biggest source of variability is between individuals Most of the time you would consider each individual person as a separate data point If you take multiple measurements of the same thing in the same person then those data would make you more confident about the value you got for that individual but wouldn’t tell you more about the population
  • 4. You will use the mean or median of the multiple measurements in your final statistical analysis But ultimately 1 person = 1 data point
  • 5. For example: if you had a pair of twins in your study, you might expect them to respond to your treatment in similar ways. It might be inappropriate to consider them as indepedent data points The challenge in relation to independence comes when there are connections between the participants Same idea with people who live together, go to the same school, work together or whatever!
  • 6. There aren’t one size fits all rules here. You have to be the one that decides Consider what the harshest critic of your work would say You have to ask, what connections are relevant to your study? Whatever you decide, you will have to justify the decision
  • 7. Let’s move on to animal studies Mice, rats, cows etc are social animals, they are housed together Your treatment, whatever it is, may cause other animals that share an enclosure to respond Squeak Squeak Squeak Squeak
  • 8. If the differences in response between cages are not the same as the differences in response for animals within the same cage Then your experimental unit should be the cage Note that the within cage effects happen a lot, it is safer to assume that it will for your study!
  • 9. In this set up if all the brown mice got treatment 1, and the white mice treatment 2 The sample size would be 4, for the 4 cages, rather than 8 for the 8 mice getting treated Isn’t that a waste of animals?
  • 10. Isn’t that a waste of animals? Yes, it could be! It could also be a waste of time, money and resources. This is why you should think about these things before your experiment! It’s ethically unforgivable for poor experimental design to waste experimental units
  • 11. One more example: let’s look at cell culture-type experiments A standard sort of experimental set up might involve taking one flask of cells and splitting it into multiple wells of a single multi-well dish
  • 12. Treatments would then be applied to the different wells in the dish Although you would get 6 readings per coloured treatment, each reading isn’t independent They’ve been cultured together, treated together, exposed to the same environmental conditions etc The six values will be conflated to 1 per treatment in your final analysis
  • 13. The six replicates here would all contribute to the one data point So why would you do 6 at all? If you made a mistake in any one well, or got some other spurious result, it would have a smaller impact on the overall findings In this sort of set up, people often talk about “biological” or “experimental” repeats” and “technical repeats”
  • 14. The biological repeat refers to the whole experiment: 1 flask to one set of data Technical repeat are the data from the individual wells or equivalent (mice of the same cage)
  • 15. What one researcher defines as a “biological” repeat may not be the same as another person doing the same experiment So, it is important that you can justify your choice and when you write up your work you make it clear what you mean For example: one stock flask of cells split into 3 sub flasks and each sub- flask gives one 24 well plate For some experiments you might justify saying this is 3 biological repeats, but for others it would just count as 1. The answer depends on where the variability is.
  • 16. Let’s talk about one more situation where identifying potential for problems of replicates not actually being independent Specifically we are going to look at taking measurements through time If you are considering an experiment where you take the same samples and treat twice you need to be sure that the first treatment doesn’t affect the second measurement
  • 17. A + Let’s look at the same experiment we discussed before: Reading 1 Time (washout period) B + Reading 2 You really don’t want there to be an order effect Ideally your pilot data will let you know how long to leave between treatments However, if you can’t remove the effect of the first treatment, then you might not be able to use paired analysis
  • 18. Randomisation and assigning groups I see an issue with your group assignments Leeburt’s group Conro’s group What? You told me to be random And all the young women ended up in your study group? yeah, pure coincidence
  • 19. You should be able to defend your group choices to your harshest critic Let’s look at ways you can go about assigning experimental units to different treatment groups
  • 20. Fully Randomised Probably the most obvious way is to completely randomise which group you assign your experimental units to A random number generator should be used rather than manually trying this, as humans will always introduce patterns subconsciously
  • 21. Fully Randomised Why wouldn’t you fully randomise? Although full randomisation removes researcher bias it doesn’t allow you any chance to control for confounding variables
  • 22. Stratified, then randomised A common approach is to split your population into groups and then randomly assign sub-groups afterward
  • 23. Stratified, then randomised For example, we might consider gender to be a confounding variable and so we split the group first based on gender Doing this will help ensure that the gender balance is roughly equal Then assign groups from the sub populations
  • 24. Stratified, then randomised It might be appropriate to stratify on age as well as gender If you had 2 study populations from this cohort. Then each would have 1 x older women, 3 or 4 older men, 7 younger men and 2 or 3 younger women
  • 25. Stratified, then randomised How much stratification you do depends on the overall study population size and what you think matters to the interpretation Stratification should be prioritised to control for the confounder that will have the biggest effect
  • 26. Non-equal groups Usually you will be able to use stronger statistical tests when your group sizes are the same However, there may be practical or ethical reasons why you might not want to have uneven groups So, try to balance in terms of numbers whenever you can Can you think of any reason why? Treatment Group Control Group
  • 27. Non-equal groups Treatment Group Control Group If the treatment might cause harmful side-effects Yes, unequal groups may not be ideal in terms of stats but they can be the correct thing to do ethically Less animals / humans will suffer harm and you will still be able to answer your question
  • 28. Position and order effects It’s not just who is in which group that matters For example, surgeons will get better at a surgical technique the more they perform it Or might be better at the beginning of their shift compared with the end You also need to consider the experimenter involved in the research
  • 29. Position and order effects You may also need to control for which scientist is doing the research. This is particularly true wherever interaction with the participants is involved such as in collecting patient details Or if there is a subjective measurement involved
  • 30. Position and order effects Position and order effects are also relevant in lab work Setting up your plate like this might make it easier to set up But you won’t know if the effect is due to the treatment or whether it’s he location or order matter
  • 31. Position and order effects Experiment 1 Experiment 2 Experiment 3 In addition, to randomisation within experiments, the set up should be different between each experiment
  • 32. Part 4 Recap. Make sure your samples are truly independent Randomize everything you can, every time you can. Position, order, experimenter. Use groupings as a way to remove the effect of confounding variables from your interpretation
  • 33. Videos Don’t worry Liam, the next video will make the process much easier! Umar John Liam Conro