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Data
collections of observations ( such as measurements, genders, survey responses)
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Statiscs
the science of planning studies and experiments, obtaining data, and then organizing, summaraizing presenting, analyzing, interpreting, and drawing conclusions based on the data
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population
the complete collection of all individuals (scores, people, measurements, and so on) to be studied; the collection is complete in the sense that it includes all of the individuals to be studied
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census
collection of data from every member of a population
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Sample
subcollection of members selected from a population
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Parameter
a numerical measurement describing some characteristics of a pupulation
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statistic
a numerical measurement describing some characteristic of a sample
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quantitative data
consists of numbers representing counts or measurements
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qualitative data
consists of names or labels; categorical
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Quantitative data can either be
discrete or continueous
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Discrete data
- result when the number of possible values is either a finite number or a countable number
- (i.e. the number of possible values is 0,1,2,3,...)
Example: The number of eggs that a hen lays
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Continuous (numerical) data
result from infinitely many possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps
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Nominal level
characterized by data that consist of names, labels, or categories only, and the data cannot be arranged in an ordering scheme ( such as low to high)
Example: Survey responses yes, no, undecided
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Ordinal level of measurement
involves data that can be arranged in some order, but differences between data values either cannot be determined or are meaningless
Example: Course grades A, B, C, D, or F
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Interval level of measurement
like the ordinal level, with the additional property that the difference between any two data values is meaningful, however, there is no natural zero starting point ( where none of the quantity is present)
Example: Years 1000, 200, 1776
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Ratio level of measurement
The interval level with the additional property that there is also a natural zero starting point ( where zero indicates that none of the quantity is present); for values at this level, differences and ratios are meaningful
Example: Prices of college textbooks (0$ represents no cost, a $100 book costs twice as much as a $50 book)
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Nominal
Ordinal
Interval
Ratio
- Nominal- categories only
- Ordinal- categories with some order
- Interval- differences but no natural starting point
- Ratio- differences and a natural starting point
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Observational study
observing and measuring specific characteristics without attempting to modify the subjects being studied
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Experiment
apply some treatment and then observe its effects on the subjects; (subjects in experiments are called experimental units)
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Simple random sample
of n subjects selected in such a way that every possible sample of the same size n has the same chance of being chosen
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Systematic sampling
select some starting point and then select every kth element in the population
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Convinence sampling
use results that are easy to get
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Stratified sampling
subdivide the pupulation in to atleast two different subgroups that share the same characteristics, then draw a sample from each subgroup
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Cluster sampling
divide the pupulation area into sections (clusters); randomly select some of those clusters choose all members from selected clusters
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Multistage sampling
collect data by using some comination of basic sampling methods
In multistage sample design, pollsters select a sample in different stages, and each stage might use different methods of sampling
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Cross sectional study
data are obseved, measured, and collected at one point in time
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Retrospective ( or case control) study
data are collected from the past by going back in time ( examine records, interviews,...)
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Prospective ( or longitudinal or cohort) study
data are collected in the future from groups of sharing common factors ( called cohorts)
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Randomization
is used when subjects are assigned to different gropus through a process of random selection. THe logic is to use chance as a way to create two gropus that are similar
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Replication
the repetition of an experiment on more than one subject
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Blinding
technique in which the subject doesn't know whether he or she is recieving a treatment or a placebo
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Double blind
blinding occurs at two levels:
- 1) the subject doesn't know whether he or she is receiving the treatment or a placebo
- 2) the experimenter does not know whether he or she is administering the treatment or the placebo
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Confouding
occurs in an experiment when the experimienter is not able to distinguish between the effects or different factors
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