Defining the relevant population according to class and age when computing numerical likelihood ratios for forensic voice comparison

Defining	the	relevant	population
according	to	class	and	age	for	
forensic	voice	comparison
Vincent Hughes
Paul Foulkes
Department	of	Language	and	Linguistic	Science
BAAP	Colloquium
University	of	Oxford
8th April	2014
2
1.0	Introduction
• forensic	voice	comparison	(FVC)	=	voice	of	
offender	(unknown)	vs.	voice	of	suspect	(known)
is	the	person	on	the	criminal	recording	the	
same	as	the	person	on	the	suspect	
recording?
• auditory-acoustic	linguistic-phonetic	analysis
– analysis	of	a	range	of	segmental	(vowels,	consonants),	
suprasegmental	(f0,	intonation,	AR),	higher-order	linguistic	
(lexical	choice,	syntax)	and	VQ/vocal	setting
Hughes	&	Foulkes
BAAP	2014
1.0	Introduction
3
• the	expert	cannot say	how	likely	it	is	that	the	
suspect	and	offender	are	the	same	speaker	(SS):
– this	is	the	job	of	the	trier	of	fact	(judge/	jury)
– requires	access	to	all	of	the	evidence	in	the	case
• the	expert	can assess	the	strength	(or	weight)	
of	a	piece	of	the	evidence	under	the	competing	
hypotheses	of	the	prosecution	(same-speaker,	
SS)	and	defence	(different-speaker,	DS)
p(Hss|E)
✗
Hughes	&	Foulkes
BAAP	2014
Hughes	&	Foulkes
BAAP	2014
1.0	Introduction
4
• the	expert	cannot say	how	likely	it	is	that	the	
suspect	and	offender	are	the	same	speaker	(SS):
– this	is	the	job	of	the	trier	of	fact	(judge/	jury)
– requires	access	to	all	of	the	evidence	in	the	case
• the	expert	can assess	the	strength	(or	weight)	
of	a	piece	of	the	evidence	under	the	competing	
hypotheses	of	the	prosecution	(same-speaker,	
SS)	and	defence	(different-speaker,	DS)
p(Hss|E)
✗
p(E|Hss)
p(E|Hds)LR		= ✓
1.0	Introduction
5
• likelihood	ratio	(LR)	involves	assessment	of	both	
similarity and	typicality
– it	matters	“whether	the	values	found	matching	…	
are	vanishingly	rare,	or	sporadic,	or	near	universal”	
(Nolan	2001:16)
• typicality	=	defined	by	patterns	in	the	relevant	
population	(Aitken	&	Taroni	2004)
– quantified	relative	to	a	sample	of	the	population
– outcome	=	value	centered	on	1
Hughes	&	Foulkes
BAAP	2014
1.0	Introduction
Hughes	&	Foulkes
BAAP	2014
6
• defence hypothesis	(Hd):
“it	wasn’t	the	suspect,	(it	was	…	someone	else)”
• common	approach	=	‘logical	relevance’
– between-S variation:	language	(region)/	sex
– within-S variation:	non-contemporaneity	(Rose	2004)
But:	many	other	sources	of	systematic	between-S	
and	within-S	variation	identified	in	
(socio)linguistics
1.0	Introduction
7
– paradox:	without	knowing	who	the	offender	is,	
we	can’t	know	(for	certain)	the	population	of	
which	he	is	a	member
Between-speaker	variation Within-speaker	variation
Regional	background Phonological	environment
Sex	(and	gender) Topic
Ethnicity Interlocutor
Social	networks Health
Age Emotion
Social	class Non-contemporaneity
1.0	Introduction
8
Research	questions
(i) to	what	extent	are	LRs	affected	by	different	
definitions of	the	relevant	population,	in	
respect	of	social	class	and	age?
(i) how	do	these	sources	of	between-S variation	
interact	with	each	other	to	affect	LR	output?
Hughes	&	Foulkes
BAAP	2014
2.1	Data:	/eɪ/	(FACE)
9
• ONZE	corpus	(Gordon	et	al	2007)
– NZ	English,	from	Christchurch	NZ
– all	males	(for	this	study)
– spontaneous	speech,	sociolinguistic	interviews
• auto-generated	F1,	F2,	F3	trajectories
– time-normalisedmeasurements	at	+10%	steps	
(McDougall	2004,	2006)
– procedures	implemented	for	formant	correction	
(incl.	auditory	analysis)
Hughes	&	Foulkes
BAAP	2014
2.1	Data:	/eɪ/	(FACE)
10
• 8	tokens	per	speaker
– excluded	pre-/l/,	adjacent	/r/
• formant	trajectories	fitted	with	corrected	
cubic	polynomial	curves
– coefficients	used	as	input	data	for	LRs
N=101 Professional Non-professional
Younger	(18-35) 29 24
Older	(35-70) 25 23
Hughes	&	Foulkes
BAAP	2014
2.1	Data:	/eɪ/	(FACE)
11
• variation	as	a	function	of class	and	age
from	Hay	et	al	(2008:97)
Hughes	&	Foulkes
BAAP	2014
2.2	Method
Hughes	&	Foulkes
BAAP	2014
12
• structure:
– 1	set	of	test	data	(multiple	pairs	of	same- (SS)	and	
different-speaker	(DS)	pairs	of	samples
– multiple	sets	of	reference	data
• matched with	test	data	for	social	factor	of	interest
• mismatched	with	test	data	for	social	factor	of	interest
• mixed:	no	control	over	social	factor	of	interest
• LRs	computed	using	MVKD	(Aitken	&	Lucy	2004)
– transformed	using	base-10	logarithm	(0	=	neutral	evidence)
2.3	Experiment	1:	class-only
Hughes	&	Foulkes
BAAP	2014
13
• test	set	=	22	professionals
• reference	sets:
Condition Speakers Hd:	“it	wasn’t	the	suspect,	it	was…
Matched 40	prof another professional…”
Mixed 20	prof/
20	non-prof
another	man…”
Mismatched 40	non-prof another non-professional…”
✓
(-)
✗
2.3	Experiment	2:	age-only
Hughes	&	Foulkes
BAAP	2014
14
• test	set	=	22	younger	speakers	
• reference	sets:
Condition Speakers Hd:	“it	wasn’t	the	suspect,	it	was…
Matched 40	young another young	man…”
Mixed 20	young/
20	older
another	man…”
Mismatched 40	older another older	man…”
✓
(-)
✗
2.3	Experiment	3:	class	& age
Hughes	&	Foulkes
IAFPA	2013
15
• test	set	=	29	young	professionals	
• reference	sets:
Condition Speakers Hd
Matched 20	young	prof …another young	
professional…”
Mixed 5	young	prof/5	old	prof/
5 young	non-prof/	5	old	non-prof
…another	man…”
Mismatched	
(both)
20	older	non-prof …another older	non-
professional…”
Mismatched	
(class-only)
20	young	non-prof …another young	non-
professional…”
✓
(-)
✗
✗
16
Hughes	&	Foulkes																										
BAAP	2014 16
Raw	LR Log10 LR Verbal	expression
>10000 4à5 Very	strong	evidence
1000à10000 3à4 Strong	evidence
100à1000 2à3 Moderately	strong	evidence
10à100 1à2 Moderate	evidence
1à10 0à1 Limited	evidence
1à0.1 0à-1 Limited	evidence
0.1à0.01 -1à-2 Moderate	evidence
0.01à0.001 -2à-3 Moderately	strong	evidence
0.001à0.0001 -3à-4 Strong	evidence
<0.0001 -4à-5 Very strong	evidence
Champod and	Evett (2000)
Hp
Hd
Hughes	&	Foulkes
BAAP	2014
17
Matched Mismatched Mixed
-7
-6
-5
-4
-3
-2
-1
0
1
DS SS DS SS DS SS
Log10LR
3.1	Results:	
class-only
Hughes	&	Foulkes
BAAP	2014
18
Matched Mismatched Mixed
-7
-6
-5
-4
-3
-2
-1
0
1
DS SS DS SS DS SS
Log10LR
3.1	Results:	
class-only
But	quite	
substantial	
differences	
for	certain	
high	
magnitude	
DS	LRs
Matched Mismatched Mixed
-4
-3
-2
-1
0
1
DS SS DS SS DS SS
Log10LR
3.2	Results:	
age-only
Matched Mismatched Mixed
-4
-3
-2
-1
0
1
DS SS DS SS DS SS
Log10LR
3.2	Results:	
age-only
Again	big	
differences	in	
individual	SS	
&	DS	LRs	
according	to	
reference	set
3.3	Results:	performance
21
• Log	LR	cost	(Cllr):	penalises	the	system	for	high	
magnitude	contrary	to	fact	LRs
– errors:	false	misses	(SS	as	DS)	and	false	hits	(DS	as	SS)
– but	an	incorrect	log	LR	close	to	0	is	much	less	
important	than	an	incorrect	LR	with	very	high	
magnitude
– Cllr ideally	close	to	0	when	no	errors	are	made
Hughes	&	Foulkes
BAAP	2014
3.3	Results:	performance
22
4.0	Discussion
Hughes	&	Foulkes
BAAP	2014
23
• magnitude	of	LRs	and	system	validity	affected	by	
different	delimitations	of class	and	age
– even	relatively	subtle	variability	can	be	reflected	in	
strength	of	evidence
• effects	on	the	LRs	most	marked	for	outlying	
comparisons
– overestimation	of	strength	of	evidence	by	up	to	3	
log10 orders	of	magnitude
– DS	pairs	more	sensitive	than	SS	pairs
4.0	Discussion
24
• effects	on	Cllr appear	systematic	:
– mixed =	under	optimistic	Cllr relative	to	matched
– mismatch =	over	optimistic	Cllr relative	to	matched
– age a	more	significant	factor	than	class
• ‘getting	it	wrong’	more	problematic	than	
‘keeping	it	general’
– distributions	of	LRs	and	Cllr closer	to	baseline	in	
mixed condition	than	in	mismatched
Hughes	&	Foulkes
BAAP	2014
5.0	Conclusion
25
• essential	to	consider	the	relevant	population
with	respect	to	(socio)linguistic	dimensions
– between-S	variation	=	complex	and	multi-
dimensional
– important	to	be	aware	of	how	sources	of	variation	
interact	with	each	other	(e.g.	age	and	class)
• understanding	the	sources	of	variability	ensures	
estimates	of	strength	of	evidence	are	more	
meaningful
Hughes	&	Foulkes
BAAP	2014
Thanks!
Questions?
Acknowledgements:	Erica	Gold,	Peter	French,	Dom	
Watt,	FSS	Research	Group	(York),	Jen	Hay,	Robert	
Fromont,	Pat	LaShell,	NZILBB,	Ashley	Brereton
vh503@york.ac.uk
1 of 26

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Defining the relevant population according to class and age when computing numerical likelihood ratios for forensic voice comparison