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Nature is full of ______
vartiation
time to time, person to person , replicate to replicate
Systemic variation
“Real represents differences that are systemic
Noise variation
Natural or random variation
Population
Entire collection of some sort of individuals
Parameters
Numerical facts about a population
census
Study population examining each and every member
Sample
Selected subset of a population
Statistics
Numerical facts about a sample
Inference
Values of sample stats are often used as guesses about the population
observation and ___ may not be the same
Data
Variable
Characteristic or attribute
ex: color is variable red is data value
Relationship exist between
Two variables if they co-vary
ex- increasing (excessive) sun exposure accompanied by increasing numbers of events of skin cancer
Statistical modeling
Discover relationships
example of analysis/synthesis
a couple had a baby with a genetic defect. They are considering having another baby. What’s the chances(likelihood) their second child will have a genetic defect too
Description
Values of stats from sample to make estimate about corresponding parameter values that characterize a population
Inference making
Fitting and comparison of competing models of the data , obtain comparison (hypothesis test) of competing explanations (hypotheses) of the phenomena we have observed
signal to noise ratio
Signal-treatment effect , expire effect, secular trend
noise- natural variation, random error
In summarizing data relevant aspects
Ask urself “what’s relevant”
goal- aim for summaries that are simple clear and thorough
tip- avoid misleading summaries
variable vs data : variable
Variable something whose value can vary
ex: age sex blood type
variable vs data : data
Value of a variable
ex: 54 years, female
two types of datat types
categorical(qualitative)(attributes)
numerical (quantitative) (numbers)
Two categories of caterogorical(qualitative)
nominal and ordinal
Nominal
Values are names that are unordered categories
ex : gender : male, female
ex2: cause of deaths : cancer, heart attack
Ordinal
Values are names that are ordered categories
ex- pain level : mild moderate severe
size of container: small medium large
Two categories of mumerical(quantitative)
Discrete and continuous
Discrete
values are integer values 0,1,2… on a proper numeric scale
ex: number of visits 0,1,2 etc.
Values are a measured number of units including possible decimal values on a continuous scale
Weight
123.6 ins
Catergories that make up qualitative variables are called ___ of the variable
Catergories that make up qualitative variables are called levels of the variable
Numerical>continous>interval
No true zero
measured on a continuum and differences btwn any two numbers on the scale are known size
Numerical>continous>ratio
Meaningful zero
Ratio data have meaningful zero point