RSS - Evaluative Writing Flashcards
probability
- measurement of that event will occur
- quantified as number between 0 and 1 where 0 = impossible and 1 = certainty
what are 5 rules of probability?
1 - probability of any event will always be a number from 0 to 1
2 - when an event cannot occur, the probability will be zero
3 - when an event is certain to occur, the probability is one
4 - sum of the probabilities of all the outcomes in the sample is one
5 - probability that an event will not occur is equal to 1, minus the probability that the event will occur
What are two factors needed to determine probability?
E - event whose probability is being considered
I - information available to assessor when probability of E is being considered
Axiomatic laws of probability
- unquestionable
- all the probabilities must add up to 1 - the accused is either guilty or innocent (in England and Wales at least)
- there is no third option
- pG + pI = 1
What two things can probability be?
- objective
- logical measure of chance where everyone would be expected to agree to the value of relevant probability
- subjective
- measuring strength of persons belief in particular proposition
notation
- p(x) = 1
- where p = probability of
- where x - variable of interest
p (G I E) = probability of guilt given the evidence
p (I I E) = probability of innocence given the evidence
Lucia De Berk
- nurse arrested in 2001 after death of baby in her care at a hospital in the Hague apparently from poisoning
- apparently investigators found what they thought was a trend of suspicious deaths among 13 patients treated by De Berk in previous 4 years
- 5 others almost died in ‘suspicious’ circumstances
- sentenced to life in prison
- testimony of statistician - odds were 342 million to one that it was a coincidence she had been on duty when all incidents occurred
- spent 6 years in prison
- De berk was accused of some deaths she wasn’t even present in the hospital for
- however probability never recalculated
- new probability still raised concern but out of 250k nurses a couple hundred would be expected to be involved in a set of circumstances like Lucia
- 1 in 1000 or 1 in 25
- acquitted in April 2010
What are two sample types?
- recovered or questioned samples (sample of unknown origin)
- control or reference sample of known origin
Purpose of substrate control
- used to distinguish between environment and surroundings and enable us to differentiate these against the questioned samples
Define relative frequency
- it is calculated against the items observed over a period of time in a laboratory or from all the DNA profiles in some defined population
- e.g. the Glass submitted for analysis is seen in approximately 7% of reference glass exhibits examined in this laboratory over the past five years”
what should expert assessment of likelihood of obtaining particular findings be formed upon?
- formed upon data relevant to the type of evidence in question:
- extensive surveys, databases or experimentation
- or refer to the experts personal experiences and previous casework
What is likelihood ratio
- relative value of
- likelihood of the evidence if the prosecutions proposition is true and the likelihood of the evidence if the defence proposition is true
Define base rate
- background rates or prior odds
- A priori
- it is the relative frequencies of variables in the general population
Bailes case study
- Alan Bailes lost his job when he was asked to take a saliva test which came back positive for cocaine
- he insisted he had never taken any but he lost is job for gross misconduct
- him and his family found news article to say 11 % of UK banknotes have cocaine on them
- on day of test he handled several hundred pounds of case
- he did not wash his hands before test which increased likelihood of drug being transferred from cash to his hands to swab
base rate fallacy
- making a probability judgement based on conditional probabilities without taking into account the prior probabilities (prior odds)