Experimental design

Design of experiments
Research ?
Layman’s reality deals personal
experiences, believes in miracle cures, no
need for verification
Scientist’s reality is cynicism on
everything, requires verification with
scientific study design
Timo Nevalainen
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Requirements for a scientific
hypothesis
Hypothesis
A scientific hypothesis must be testable
Science is mostly driven by developing
and testing novel hypotheses
Is an educated guess about what nature is
going to do, or about why nature does
what it does
Ultimate aim of the study is to accept of
reject the hypothesis
„
a scientific hypothesis must generate
predictions. To say that a hypothesis
g
p
predictions" means the same thing
g
"generates
as saying the hypothesis "is testable".
A scientific hypothesis must be falsifiable
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*There are other inhabited planets*
Can be tested by space probe
BUT if they find none, it does NOT prove that
the hypothesis is incorrect (= not falsifiable)
3
Example:
Xylitol and dogs
Man
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„
commonly used
sweetener
positive effects on
caries and on ear
infections
excessive use may
induce laxative effects
4
Formulating hypothesis
Dogs
„
„
2-year toxicity study at
2 g/kg daily in diet
resulted in minor liver
changes
accidental consumption
of xylitol: mortality with
seizures clinically
Kuzuya et al.
al. 1966: Xylitol in dogs
produces much stronger insulin
release than glucose
Hypothesis: Ingested xylitol causes
insulin secretion, which results in
hypoglycemia
BUT: Was this tested in the 22-year
toxicity study ?
Hypoglycemia only in fasted dogs ?
Read more on writing hypotheses
1
Manipulation hypothesis
A good hypothesis
Useful when the effect of a procedure on
animals is being studied.
The “IF” will “HAPPEN” when “ALTER”
something statement
Example: The animal will grow faster if
diet energy content is increased
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Choice hypothesis
Observational hypothesis
Useful when e.g. wild animals in nature and
one cannot change environment; can also
be a comparative statement.
Useful when investigating the preferences
of animals
“ORGANISM X” iis “STATEMENT ABOUT
DISTRIBUTION, DENSITY”, and “SIZE
ETC”.
Given a choice “THE” will “PREFER” than
“OTHER PREFERENCE” statement.
Example: Mice prefer certain nest
material over other materials
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Example: Reindeers thrive better in
subarctic climate than in hot and humid
areas
"What makes a good hypothesis"
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Animal experiments
In animal experiments we believe to be able to
standardize most factors causing variation
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TEST YOURSELF
Environment
Etiological agents of diseases
genetics
diet
Hence possible to operate with relatively small
numbers of animals
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Vs. epidemiological and clinical studies
12
2
What is Experimental Design All
About?
Our way to ask nature and test the
hypothesis
Validity reflects the weakest link of the
study
Experimental design aims at securing that
best possible knowknow-how is in use
Poorly planned or executed study is
always unnecessary and unethical
Planned interference in the natural order of events
„
more than carefully observing what is occurring
The importance stems from the quest for inference
„
causes or relationships as opposed to simply description
Inferences -> what produced, contributed to, or caused
events without ambiguity
„
What is a scientific experiment ?
some form of experimental design is ordinarily required
The purpose of the design is to rule out alternative
causes, leaving only the actual factor - the real cause.
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Nonstatistical aspects
Bias
Choice of animals and precision
Design of environment
Applicability
Practical randomization
Case for Refinement and Reduction
Are animal experiments
wellll d
designed
i
d?
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Experiments well designed ?
”.....quality of experiments is poor, and
basic principles of experimental design are
ignored.......advances in experimental
design during the last 30 years have not
had any effect on studies.”
„
Mead (1990) The Design of Experiments,
Cambridge University Press
17
Australian Vet J 72:322-328, 1995
18
3
Which were the problems?
Deficiencies in design
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failure to randomize
too heterogeneous material
inappropriate number
bias
Deficiencies in statistical analysis
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sub-optimal methods
suberrors in calculation
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Kilkenny et al. 2010
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Arrive_guidelines.pdf
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4
Standardization fallacy?
Bias ?
RA Fisher 1934
A highly standardized experiment supplies
direct information only in respect of the
narrow range of conditions
conditions..
..deliberately varying in each case some of
the conditions of the experiment, achieve a
wider inductive basis for our conclusions,
without in any degree impairing their
precision.
Systematic difference between the
real and estimated effects
ii.e. treated
d and
d controll groups must
have the same environment
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Remove systematic differences
26
No systematic differences
Unbiased, how to ?
Failure ->
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False positives or false negatives
Independent replication of observations
Common errors
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G
Groups
in
i diff
differentt environments
i
t
Sampling different groups different times by
different people
Favoring one group over other(s)
Improper randomization
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Not to block by groups
Conditions may not stay the same
Randomization
Blinding
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Code experimental units
Crucial when observations are subjective
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Description of the study
Choice of animals / Ellery
Source: Species (Latin name if not a common laboratory
Source:
species), source, age and/or body weight, sex
Transportation:: Length of acclimatization period
Transportation
Genotype:: The breed, strain, or stock name. Inbred
Genotype
strains, mutants, transgenes
transgenes,
g
, and clones using
g
internationally accepted nomenclature (see:
http://www.informatics.jax.org/mgihome/nomen/strains.sht
ml ) for mouse and rat nomenclature). Any genetic quality
assurance verifying the genotype should be mentioned
Microbiological status:
status: Conventional, specified pathogenpathogenfree (SPF), germfree/
germfree/gnotobiotic
gnotobiotic.. When possible, reference
should be made to some agreedagreed-upon standards such as
the FELASA standards (www.felasa.org
(www.felasa.org )
Complicating factors of a study are the
ones that should be described, see
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Ellery et al
al. 1985l
Gold standard Publication checklist….
checklist….
ILAR task group…working
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5
Hooijmans et al. 2010
Specification of Environment
Housing: Type of housing including whether
conventional, barrier, isolator, or individually
ventilated cages. Room temperature (with
diurnal variation), humidity, ventilation, light/dark
periods, light intensity. Cage type, model,
material type of floor (solid/mesh),
(solid/mesh) type of
material,
bedding, frequency of cage cleaning, number of
animals per cage, cage enrichments.
Diet:: Type, composition, manufacturer, feeding
Diet
regimen (ad
(ad libitum,
libitum, restricted, pair fed), method
of sterilization.
Water:: ad libitum,
Water
libitum, bottles or automatic, quality,
sterilization.
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Hooijmans et al. 2010
Hooijmans et al. 2010
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Statistical and practical
significance
Hooijmans et al. 2010
These are two different things
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With a large number of animals it is sometimes
possible to gain statistical significance even
though differences are very small
With a low number of animals it may be
impossible to show statistical significance of eg
clinically valuable difference
It is unethical to use to few or too many
animals
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6
A good design should
Oubred stocks vs. isogenic strains
Have clear aims
Have good knowledge of literature
Use applicable model
Have experience
Use correct statistics
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Criteria of good design
Precision
Unbiased
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Aim at high
SIGNAL / Noise ratio
Ratio
at o goes up
Independent repetition
Precise
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Even material,
material blocks,
blocks size
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Applicability
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factorial design, blocks
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Simple
Estimation of error
Increasing signal (larger dose, more sensitive
model)
Decreasing noise (less variation, larger
experiment)
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Why to look for
variation ?
Decisive for window of appropriate
pp p
n
Unethical to operate outside the window
Comparisons of variation seldom done
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Requires larger study than mean comparisons
Change in SD -> n change
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+ 40 % -> 1.42 -> 1.96 -> 96 %
- 40 % -> 0.62 -> 0.36 -> 64 %
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7
Examples of sources of noise
Variation
Biological variation
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species, sex, age, biorhythms, animal care,
stress
Preanalytical
variation
y
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sampling, sample treatment, -storage
Analytical variation
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Species Batch
Age
Strain
Supplier
Litter Size
Genotype
Body Weight
Sex
Physiological and Pathological Status
Usually half of biological
Pharmacologic variation
„
response
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Variation and n
Parameter
Genetics
Group
F1
F1--hybride
F2--hybride
F2
SD
13.5
18.4
Which variation?
Scientists – own parameters
n
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Diseases
no Mycoplasma
18.6
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Mycoplasma
43.3
200
Breeding
Wild
20.3
48
Purpose
20.4
48
n needed to detect 10 % difference at p=0.05
no way to screen all parameters
effects most likely
facility--, strain
facility
strain-- & enrichment
enrichment--specific
Laboratory animal scientists - welfare indicators
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eg fecal and/or urine corticosterone
telemetric methods
with the assumption that uniform welfare status
results in smallest possible variation in other
determinations
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Experimental unit (EU)
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Randomization
Unit of replication which can be assigned
at random to a treatment
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Diet study with animals in cages; cage = EU
If lymphocytes taken from animals -> cells
treated in a Petri dish; dish = EU
Topical test compound over various spots
over body, spot = EU
Most often EU equals an animal
Critical part of an experiment
Tossing coins - simplest
Pay attention to weight and age differences
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If cannot – use them as covariates
Pay attention to families
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And make them main effects
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8
Cage rack
Other items to randomize
order of sampling or recording
environment
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place in the rack
temp, light, ventilation gradient across
the room?
Illumination
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The HelsinkiHelsinki-Rat
Rat--ification
ification,, 2010
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•Most toxicity testing is done using stocks.
•Should a resistant stock be used, it could lead
to a false negative result
•These
These problems can be overcome by using
small number of animals of several inbred
strains in a factorial design
•This is more powerful and better able to detect
toxicity with the added advantage that it would
highlight genetic variation in response
•See www.isogenic.info/
•The Helsinki-Rat-ification, 2010 – next slide
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A basic rule of good experimental design is that all variables
should be controlled except that due to the treatment
The use of genetically undefined rats and mice violates this
rule
The result is excessive numbers of false negative results
The use of such animals is therefore unethical and
uneconomical
We hereby pledge that we will no longer breed, maintain or
allow geneticallygenetically-undefined mice or rats to be used in our
animal houses, and when serving on an ethical committee, we
will not agree to their use in research
Signed ..........................
52
Applicability –
representative genotypes
Types of experiments
Parallel groups
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How valid will your
experiment be under other
circumstances ?
e.g. does you data apply to
different strains, the other
sex, etc
etc..
.. ?
One procedure to each animal
Cross over
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E h animal
Each
i l iis exposed
d tto allll procedures
d
with
ith
a wash out period in between
Factorial
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Possible to study more than one procedure
simultaneously
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9
Types of exps and precision
Blocks increase precision
If variation, as most commonly, is within
an animal < between the animals
Control some extraneous sources
of variation
Maybe useful if
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cross over is more p
precise
If the opposite is true
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Parallel groups are more precise
Factorial design allows assessment of
both variation at the same time
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material is heterogeneous -> several
mini experiments
material has some natural structure
there are bottlenecks
Can be both parallel and cross over
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12 dogs of 4 litters -> 3 groups
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Traditional design
Imaginary study
Purpose: Effect of drug on enzyme
Design
Controls
8 males
Drug
8 males
Stat: tt-test / 14 degrees of freedom
But, what about females?
random
by blocks
57
Factorial Design
58
Advantages of factorial design
Design B
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Controls
Drug
4 males
4 males
4 females
4 females
More than one hypothesis at a time
Better mathematical model
More precision
Reveals interactions
Stat:
St t ANOVA
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Source
Drug
Sex
Drug x Sex
Error
DF
1
1
1
12
Same size, more info
MS
xxx
xxx
xxx
xxx
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Factorial & ANOVA
Main effect: Stock or strain
Outbred stock is believed to represent
better a species than several defined
strains (Inbred and F1
F1--hybrides)
Some outbred stocks have rather narrow
genetic bases
If strain (or stock) is used as main effect
and several strains or stocks are used,
design will show whether it is significant
Main effects:
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Strain, sex, procedure, litter.......
Covariates:
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Age, weight, parameter before
procedure.......
61
Principles in action.. ?
62
Defined or outbred ?
Not really, e.g.
Safety evaluation is usually
done with one ((outbred
outbred)) stock
Carcinogenicity studies are
often done with a single inbred
strain (Fischer344) or single
outbred stock
Biological standardization
Large response is important
Select strain or stock with large response
If simultaneously small variation is
needed, then take a defined strain
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Defined or outbred ?
Defined or outbred ?
Application to same species
Which is more representative:
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Extrapolation to an other species
I addition
dditi tto previous
i
ttake
k representative
t ti
In
species and
within species representative genotypes
One outbred stock or
One inbred or F1 strain
If there is genetic component
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It is better to take several defined strains
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Main effect: Litter
Litter
Why do we use litter blocking
ID necessary at weaning
Use means more precision
Can be done in addition to even
distribution to all groups
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In large animals
While we could not care less in
rodents
Is it really a species question?
Or question of numbers of animals
in a group?
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Appropriate number of animals
Error types
Experience helps?
Mathematically correct
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False positive ( type I
error, α-error)
St ti ti ll significant
Statistically
i ifi
t
change # no practical
significance
Eff
Effect
size
i
SD
false positive (significance)
false negative (power)
False negative (type II
error, β-error)
Most common, cause:
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effect = small
variation = large
# animals = small
Statistical power = 1 - β
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Size of the study / I
Good design has high statistical power !
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Resource equation method
Mead (1988):
Quantitative endpoint
Error estimate requires 10
10--20 degrees of
freedom
DF (error) = (N(N-1) - (T(T-1) - (B
(B--1), where
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N = # observations
T = # groups
B = # blocks and/or covariates
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Example / I
Appropriate number of animals / II
Set p – usually 0.05
Set statistical power - usually 0.90
Decide effect size
Estimate variation
Size of experiment = n
30 mice, 3 groups and 2 blocks
DF (error) = (30
(30--1) - (3
(3--1) - (2
(2--1) = 26
Conclusion: unnecessarily large
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Freeware for study size
determination
www.uib.no/isf/people/doc/ssd.htm
p p
Calculate study size at beginning and
statistical power at end
More on the topic
Reading
http://www.adelaide.edu.au/ANZCCART/
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variables in animal based research: part 1. phenotypic variability in
experimental animals
variables in animal based research: part 2. variability associated
with experimental conditions and techniques
the importance of non-statistical
non statistical design in refining animal
experiments
Doing better animal experiments; together with notes on genetic
nomenclature of laboratory animals
Festing MFW, Altman DG. 2002. Guidelines for
the design and statistical analysis of experiments
using laboratory animals. ILAR J 43:24443:244-258
http://www.lal.org.uk/handbooks.html
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CD on Experimental Design: www.sheffbp.co.uk/
77
http://dels.nas.edu/ilar/
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Authors
Order of the authors
First is usually the one who did
most of the work
L
iis usually
ll the
h group lleader
d
Last
Authors in between carry less
weight
Criteria (www.icmje.org)
Substantial contributions to conception and
design, or acquisition of data, or analysis
and interpretation of data
Drafting the article or revising it critically for
important intellectual content
Final approval of the version to be published
1.
2.
3.
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Objectives / Hypothesis
Ethics approval
Indicate the nature of the ethical
review permissions, relevant
licenses in your country
and international and/ or
institutional guidelines for the care
and use of animals
Clearly describe the primary and any
secondary objectives of the study, or
specific hypotheses being tested
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Statistics tests null hypothesis
Ultimate aim of the study is to accept of reject
the hypothesis
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Design features
Procedure description
For each experiment, give brief details on
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Number of experimental and control groups.
steps taken to avoid of subjective bias when
allocating animals to treatment
(randomization)
And when reading results (blinding)
The experimental unit
Give details on
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How
drug formulation and dose, site, route of
g
*
administration * anaesthesia and analgesia
surgical procedure * method of euthanasia) *
details of any specialist equipment (supplier(s).
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Flow chart to illustrate how complex study
designs were carried out.
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When (e.g., time of day).
Where (e.g., home cage, laboratory, water
maze).
Why
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Housing description
Animal description
Quarantine / Acclimatization
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length (days) / procedures during
species, strain, stock, sex, developmental
stage (age), and weight (e.g., mean or
median weight plus weight range).
source of animals, nomenclature,
genetic modification status, genotype
health/immune status
drug-- or testnaı¨
drug
testnaı¨ve
previous procedures,
procedures, etc.
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Type of facility, e.g., specific pathogen free
Type of cage or housing; e.g. open vs. IVC
Bedding material;
number of cage companions
cage shape and material
Husbandry conditions (e.g., light/dark cycle,
temperature, etc.
type of food, access to food
Welfare--related assessments and interventions
Welfare
that were carried out
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Space characteristics
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Space characteristics
type: outside yard/pen/open cages/ filter top
cages/ IVC/ isolator/ other
inside dimensions (L x W X H - cm/m)
type & material of flooring
( lid/ f
(solid/perforated/grid/wire/other
d/ id/ i / h & epoxy
mass/ tiles/ PVC/ concrete/ other)
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wall material(s) ((polysulfone
polysulfone// polyetherimide/
polyetherimide/
polycarbonate/ polyvinyl/ steel/ wood/ other)
Emissions
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Examples of interference: gridgrid-floor cages represent a
form of mild stress associated with increased
corticosterone levels, raises blood pressure , and leads
to foot lesions in longlong-term housing in rats
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Examples of interference: Old polycarbonate cages leach
Bisphenol A, a compound with estrogenic activity
hopper/top (material
(material--structure)
washing / sterilization frequency.
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Examples of interference: Common cage cleaning
practices may promote aggression in male groups
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Environmental complexity
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Sample size
total number of animals used in each
experiment and the number of animals in
each experimental group.
group.
Explain how the number of animals was
decided. Provide details of any sample
size calculation used.
Indicate the number of independent
replications of each experiment, if
relevant.
items/ item combinations (material,
structure, dimensions)
emissions
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Example
p of interference: Pieces of p
polycarbonate
y
cages and water bottles leach Bisphenol A, a
compound which disrupts fetal development in mice
renewal/ washing / sterilization frequency
carry over items
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90
15
Group allocation
Outcomes
Give full details of how animals
were allocated to experimental
groups, including randomisation
or matching
matching,, if done
done..
Describe the order in which the
animals in the different
experimental groups were treated
and assessed
Clearly define the primary and
secondary experimental
outcomes assessed, e.g.
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cell death
molecular markers
behavioural changes
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Bedding & nesting material
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Feeding characteristics
material(s)
treatments within the facility
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„
emissions
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Examples of interference: Softwood bedding induces
liver metabolism due to inherent pinenes still present in
commonly used beddings. PaperPaper-based materials may
contain toxic substances
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Example of interference: Type of dietary fat has impact
on rodent physiology and behavior
autoclaving /other treatment(s) in facility
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Example of interference: Dirty environment impairs liver
metabolism
Examples of interference: Phytoestrogens in diet can
interfere many endpoints thus being an important factor
in studies
batch specific analysis results, if any
„
volume/ weight provided
change interval.
„
type and batch of diet (manufacturer/ code/
batch no/ )
Example of interference: Type of sterilization has an
effect on mouse breeding
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Feeding Characteristics 2
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Watering
method of feeding
„
ad libitum
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„
Examples of interference: Ad libitum fed animals develop
insulin resistance, diabetes, high blood pressure,
impaired brain function, increased oxidative stress and
inflammation, and are more susceptible to cancer,
neurodegenerative disease and kidney disease.
Unsurprisingly, they die prematurely
restricted feeding (details of )
„
method of watering (nipples/bottle/bowl)
material(s) of water provider system
emissions
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„
water treatment
„
Examples of interference: Most methods of food
restriction are not compatible with legally mandated
group housing and derail the diurnal rhythmicity of
physiological parameters
95
Example of interference: Old polycarbonate water bottles
leach Bisphenol A, a compound with proven estrogenic
effect
Example of interference: Water acidification decreases
weight gain and decreases water consumption, and all
additives in drinking water should be considered as a
potential source of variation in immune response
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Physical environment
„
temperature range (oC).
„
„
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Example of interference: Small changes in ambient
temperature alter cardiovascular parameters in both rats and
mice
Example of interference: Albino rats develop retinal
degeneration within 3 months, when exposed to
illumination of 60 lux
lux..
lightlight
g -dark rhythm
y
„
Example of interference: Low ambient temperature with
extremely low humidity delays puberty in mice
ventilation rate (air changes/h)
Example of interference: Disturbed lighting in groups of
male mice caused higher levels of corticosterone and
shorter agonistic latency within the group
color spectrum of lights
light source
e.g. fluorescence tubes (flickering)
ammonia & CO2 .
„
light intensity ((lux
lux,, day/night)
„
relative humidity (RH) range (%)
(%).
„
„
Physical environment 2
Example of interference: CO2 levels above 3 % have direct
effect on cardiovascular parameters and preferences in rats
air speed to which animals are exposed (m/s)
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Physical environment 3
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Social environment
acoustic environment
„
Examples of interference: Noise can change hormonal,
reproductive and cardiovascular parameters and disturb
sleep/wake cycle
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„
24/7 dB and audiogram
g
/ ultrasounds
housing and care related sounds.
„
„
group size/cage density
regrouping
compatibility
tibilit
olfactory environment
emissions from the building
odours from other species nearby
e.g. pheromones
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Statistics
Baseline data
Provide details of the statistical methods
used for each analysis.
Specify the unit of analysis for each
dataset (e
(e.g.
g single animal
animal, group of
animals, single neuron).
Describe any methods used to assess
whether the data met the assumptions of
the statistical approach.
approach.
For each experimental group, report
relevant characteristics and health status
of animals
„
„
„
weight
weight,
microbiological status
drug-- or test
drug
test--naı¨
naı¨ve
ve))
before treatment or testing (often be
tabulated).
tabulated
).
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102
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Numbers analyzed
Outcomes and estimates
give the number of animals in each
group included in each analysis.
Report absolute numbers (e.g.
10/20 not 50%a).
50%a)
10/20,
If any animals or data were not
included in the analysis, explain
why.
Report the results for each analysis
carried out, with a measure of precision
(e.g., standard error or confidence
interval))
interval
For meta
meta--analysis numbers are
needed, they are difficult & unprecise if
drawn from figures
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The Three Rs alternatives
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„
The Three Rs alternatives
basis of the method usedused- reference (science
(science-based/ official validation/ best practice)
Application of Replacement alternatives
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Details of methods used
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„
Details how used
Verification of validity
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Application of Refinement alternatives
Details of methods used on top of the application of
HEP(s)
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„
housing refinements
procedural refinements
Untoward effects
„
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Poor condition
Dead?
specific assessment criteria used
„
Describe any modifications to the
experimental protocols made to reduce
adverse events
„
106
Humane endpoint(s) (HEP)
Give details of all important adverse
events in each experimental group
„
Lessons learned from the Three R
applications in the study
Refinement & Reduction interplay?
(Effect on research quality)
105
„
methods related to design
methods based on standardization
methods efficient via increased longevity
other
Quantification estimate of outcome attributable to
Reduction method(s) in this study
Verification of method to assure efficacy in this study
„
Application of Reduction alternatives
Or why did you not change the protocol?
„
alleviation of pain, dystress and suffering
„
107
estimate of illill-health impact of the study on
animals
basis of HEP method - reference (science
(science-based/ official validation/ best p
practice))
criteria used to establish (cardinal signs/
scoring system)
method used to show efficacy of HEP(s) used
in this study
lessions learned on HEP(s)
108
18
Interpretation
„
„
Applicability
Interpret the results in relation to current
understanding, and other relevant studies
Discuss the study limitations
How the findings of this study are
likely to translate to other species or
systems, including any relevance to
human biology
biology.
Probably the most important
statement of the article
potential sources of bias
p
any limitations of the animal model
imprecision associated with the results
„
Discuss implications of your experimental
methods or findings for the replacement,
refinement, or reduction (the 3Rs)
109
Refereeing exercise
110
Check--list for refereeing
Check
Work in groups on given articles
Pretend that they have not been published
Use all the information for scrutiny
Be critical
Final decision: Accepted / Accepted with
major/minor revision / Rejected
We will pause for group work
After the pause groups present their
findings
Is the paper important?
Is the work original? Does the work add
enough to what is already in the literature?
I there
Is
th
a clear
l
message?
?
Does the paper read well and make
sense?
Is this journal the right place for this
paper?
111
Scientific reliability
112
Scientific reliability / 2
Abstract/summary — does it reflect
accurately what the paper says?
Research question — is it clearly defined
and appropriately answered?
Overall design of study — is it adequate?
What they studied — are they adequately
described and their conditions defined?
113
Methods — are they adequately
described?
Results — does it answer the research
question?
ti ? C
Credible?
dibl ? W
Wellll presented?
t d?
Usefulness of tables and figures? Is the
quality good enough? Can some
eliminated? Is the data correct in the
tables?
114
19
Scientific reliability / 3
General attitude
Interpretation and conclusions — are they
warranted by and sufficiently derived
from/focused on the data? Message clear?
References — are they up to date and
relevant? Any glaring omissions?
115
Be kind. Do not be tempted by the
reviewer anonymousity to make unkind
remarks.
Be fair
fair. Do not hesitate to identify flaws in
the manuscript, balance criticism with
potential strengths & technical limitations
and the nature of the journal.
If you give criticism, also give a motivation,
including literature references if applicable.
116
Attitude
Be ‘action
‘action--able’. Providing practical
suggestions for textual changes or
dditi
l experiments
i
t h
l convey what
h t
additional
helps
you think would improve the manuscript
better than simple criticism.
117
20