BIO3011 Lecture Notes - Lecture 2: Test Statistic, Multiple Comparisons Problem, Inverse Trigonometric Functions

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3. Experiments
Controlled experiment (spatial control):
o Uses treatments and controls
o Only one variable is altered
o Eg. examine lizard activity in an enclosure with a heat lamp vs control
Perturbation experiment (temporal control):
o No control is used
o All variables are kept the same except one that is varied or manipulated over time
o Eg. what happens to lizard body temp if ambient temp is changed
Natural experiment (natural control):
o Attepts to idetify treds usig treatets ad otrols deteried y nature
o Eg. do lizards living in rocky habitats have different activity to forest?
By reducing the effect of confounding variables, the experimenter can isolate and identify the
effects of the treatment variable
Confounding variable:
o Confounding variables co-associate with or might have complex relationships with a
variable of interest
o Difficult to identify without an experimental approach
Ways to reduce sampling error and bias:
Generally more replication is always better but with enough replicates all differences will
eventually become significant because the p value depends on the degrees of freedom
Balance = all treatments and controls are equal in number
Blokig = ioles assigig treatets radoly to repliates ithi loks
- a block of replicates share similar properties
Paired designs = treatments are applied to replicates so that each replicate contains one
spatially associated treatment and control
- often more powerful because less noise will interfere with the treatment response
Sub-replicates = multiple samples taken from the same replicate
-usually averaged to provide a final replicate result
-eg. multiple leaves from a single plant
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Document Summary

A block of replicates share similar properties: paired designs = treatments are applied to replicates so that each replicate contains one spatially associated treatment and control. Often more powerful because less noise will interfere with the treatment response: sub-replicates = multiple samples taken from the same replicate. Usually averaged to provide a final replicate result. Experimental design pitfalls: nested designs, difficult to analyse, where treatments are nested inside other treatments, eg. examining light then having soil a and b in each light, pseudoreplication: using sub-replicates instead of replicates in analysis. Be aware of independence: pseudo-randomisation: using haphazard allocation of units to groups. Use a randomisation technique: multiple comparisons: because a significance test has a 1 in 20 error rate built into it, the more comparisons you do the greater the risk of getting an error by chance. If you run 20 comparisons you have a 64% chance of one or more errors.