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Science	and	Data
Dr.	Michael	Tims
Using	a	proper	scale
Using	Year-over-year	Percent	Change
Study	variable
• Refers	to	measurement	that	changes	from	one	
individual	to	another.	
1. Response/dependent variable:	Measures	the	outcome	of	
the	study	treatment
2. Independent/	predictor	variable:	Explains	or	influences	
changes	in	response	variable.
X	(independent)	and	Y	Axis	(dependent)
X
Y
Designing	the	study
• The	basic	elements	of	a	study	design
– Selecting	appropriate	sample	size	for	a	specified	level	of	
power	and	level	of	significance
– Selecting	methods	of	sampling,	data	collection,	and	
analysis	appropriate	to	the	study's	objectives
• Descriptive	statistics	describes	center,	variability,	shape	of	data
such	that	patterns	might	emerge	
• Inferential	statistics	predictions	probability	that	an	observed	
difference between	groups	is	a	dependable	one	or	not
Statistical	Inference
Sample Population
Sample:	subset	of	population	
whose	center,	spread	and	shape	are	
as	close	as	that	of	population.
What	and	Why	Error	Bars?
• Represents	variability	in	data
• Indicate	uncertainty	(precision)	of	measurement	
velica.deviantart.com/art/Error-bars-101948712
Error	Bars
Regression
Modeling	the	relationship	between	response/dependent	variable	
and	the	independent/	predictor	variable
Data	and	Error	Bars
How	to	create	error	bars	using	Excel
http://people.hws.edu/halfman/Excel-07-
demo/07-Error-Bars.html
P	Value
• Two	shaded	areas	are	equidistant	from	the	null	hypothesis	value	
(260)	and	each	area	has	a	probability	of	0.025,	for	a	total	of	0.05
• This	critical	region	defines	how	far	away	our	sample	statistic	must	
be	from	the	null	hypothesis	value	before	we	can	say	it	is	unusual	
enough	to	reject	the	null	hypothesis.
Probability
p	<	0.005	excellent
p	<	0.05	good
Statistical	Significance
• When	observed p-value less	than	
the significance	level defined	for	the	study
• Always	possible	that	an	observed	effect	would	
have	occurred	due	to sampling	error alone
• If	p-value	less	than	the	significance	level,	
reflects	characteristics	of	whole	population
• Does	not	imply research,	theoretical,	or	
practical	significance
Clinical/Experimental	versus	
Observational	design
Observational	– Correlational	Evidence
Is	Vitamin	E	Associated	with	Lower	
Prostate	Cancer	Risk
• Correlational	evidence	predicts	that	men	who	take	
Vitamin	E	have	lower	risk	for	prostate	cancer
• Experimental	data	suggests	Vitamin	E	contributes	to	
the	likelihood	of	prostate	cancer
• Healthy	user	bias
What	about	epidemiological	studies	of	
medicinal	herbs?
• Large	population	of	self-prescribing	herbal	users
• Provide	safety	and	efficacy	data	not	currently	
generated	by	clinical	trials
• Rapidly	identify	activity	without	knowledge	of	
mechanism	or	active	ingredient	(outbreaks)
• Correlate	efficacy	in	animal	and	in	vitro	studies	with	
specific	dose	and	form	in	humans.
Challenges
• What	are	the	actives	and	how	much	is	present?
• Dose	– not	directly	administered
• Compliance	–how	to	model	a	dose-response	study	
with	complex	pattern	of	use	
• Relevant	timing	– disease	etiology	may	require	
temporal	specificity	(cancer)
• Outcome	biased	by	consumer	– are	healthy	people	
more	likely	to	use	herbs?
Strengths	and	Weaknesses	of	
Epidemiological	Data
+
§ Attempts	to	eliminate	risk	of	recall	bias
§ Dose	range	broader	than	clinical	trial
-
§ Less	reliable	than	randomized	controlled	study
§ Groups	may	differ	in	other	ways.
§ Takes	a	long	time
Epidemiology:	Risk	Analysis
Condition:
Coronory Heart Disease
Total
Yes No
Exposure:
Periodontal
Disease
Yes 349 1437 1786
(A) (B) (A+B)
No 1706 6898 8604
(C) (D) (C+D)
Total 2055 8335 10390
(A+C) (B+D) (A+B+C+D)
Relative	Risk =	(A/A+B)	/	(C/C+D)	=	0.98
Ratio	of	the	incidence	of	disease	in	the		exposed	
group	relative	to	unexposed	group
DeStefano et al. (1993) Br Med J 306: 688-691
Epidemiology:	Case	Control	Study
• Identification	of	population	with	the	disease	or	
outcome	of	interest	(cases)	and	a	suitable	control	
group	without	the	disease	or	outcome.
• Retrospective
• Herb/drug	interactions
• Fiber	consumption	vs.	colorectal	cancers.
Epidemiology:	Cohort	Study
Presence	of	exposure	determined	in	sample	population
Framingham	Heart	Study
Goal:	Identify	the	common	factors	or	characteristics	
that	contribute	to	cardiovascular	disease	(CVD)	by	
following	its	development	over	a	long	period	of	time.
Now	on	fourth	generation
https://www.framinghamheartstudy.org/

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