301 midterm

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1
theory
statement about the possible casual relationship between two or more concepts
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hyptotheis
theory based statements about a realtionship
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null hypothesis
what we see if the theory is wrong
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hypotheis testing
how we evaluate hypotheis
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dependent varriable
thing to be explained, the effect, y
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independent varribale
thing that does the explaining, cause, X
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rules of the road for scientifc knowledge
1. make thoeries casual
2. dont let data drive theory
3.consider emprical evedince
4.avoid normative statements
5. pursue generalilty and parasiomny
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what makes a good theory
casual
testable
genreral
parasaimounis
new
nonobvious
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casual
implying casuaulity, that these tings cause one another
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correlation
statisical measure of covarration which summarizes the direction and strength of the linear realstionship between two varribales
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covary
when two varriables varry together
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dependent varriable
varriable for which at least some of the varration is theorized to be caused by one or more indepednent varriables
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emprical
based on real world observation
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hypotheis testing
the act of evualauting the empicrical evedince in order to determine the level of support for the hypotheis verus the null hyptheis
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measure
process by which abstract concepts are turned into real world observations
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negative relationship
higher values of the independent varriable tend to coincide with lower values of the dependent varriables
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normal science
scetific research that is carried out under the shared set of assumptions and accepted theories of a paradigm
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nomrative statements
statements about how the world ought to be
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operationilize
another word for measurement, when a varribale moves from the concept level in a theory to the real world measure for a hypotheis test it has been operationilized
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paradigm shift
when new fidnings challenge the conventioal wisdom of a paradigm to the point where the set of shared assumptions and accepted thoeries is redefined
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parsimonious
simple
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posistive realtionship
higher values of the independent varriable tend to coincide with higher values of dependent varribale
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theoritical model
the combination of independent varribales, the dependent varribable, and the casual relationship that are theorized to exist between them
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cross-sectional measure
measure for which the time dimension is the same for all cases and the cases represent muliple spatial units
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spatial dimesions
the physical units on which the varriable is measured
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time dimeinsions
the point or points in time at which a varribale is measured
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time-series measure
measure for which the spatial dimesion is the same for all cases and the cases represent muliple time units
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transistative
mathimaticial relationship such that if A is greater than B, and B is greater than C, A must also be bigger than C
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bivarriate
involving just two varribales
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confuding varribale
varriable that is correlated with both the independent and dependent varriables and that somehow alters the realstionship between those two varriables
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spurious
not what it appears to be, false
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4 hurdles to establishing causualilty
1. is there a credible casual mechainism that connects X to Y
2. can we rule out the possiblilty that Y causes X
3. is there covarration between X and Y
4. have we controlled for all confunding varribales, that might make the relationship spurious
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cross-sectional observational studies
reserch desgins that focuses on varration acorss spatial units at a single time unit
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data set dimesions
the spatial and time units that define a data set
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expirements
research desgins in which the researcher both controls for and radomly assigns values of the independent varribale to the particants
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placebo
fake stimlous given to a control group
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radom assigment
when the particpants for an expirement are radomly assigned to one of the several possible values
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radom sampling
method for selecting indivual cases for a study in which every member of the underlying population has an equal probabbility of being selected
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research desgin
the stragies that a researcher employs to make comparsions with the goal of evaulating causal claims
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spatail unit
the physical unit that froms the baisis of obsevration
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time-series-observational studies
research desgins that focuses on varration within a single spatial unit over muliple time units
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measurement bias
the systematic over-reporting or under-reporting of values for a varribale
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reliablilty
the extent to which applying the same measurment rules to the same case or observation will produce identicial results
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validity
the degree to which a measure accurately represents the concept that it is supoosed to measure
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central tendeancy
typical values for a particular varriable at the center of its distrbution
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dispersion
the spread or range of values of a varribale
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histogram
visual depection of the distbrution of a single varribale that produces two-dimensional figure in which the horizontal displays the varriables and vertical displays the relative frequency of cases
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kernel density plot
visual depection of the distrbution of a single varribale based on a smoothed calcualtion of the denisity of cases across a range of values
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least-sqaure property
property of the mean value for a single varribale y, which means that the sum of the sqaured diffrences between each y values,yi, and some value for c
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mean value
average of a varribale equal to the sum of all values of y across indiviauls cases of y
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median value
value of the case that sits at the exact center of our cases when arrnaged from lowest to highest
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mode
the most frequnelty occuring value of a varribale
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ordinal varriable
varriable for which we can make universally holding ranking distctions acorss the varriable values, but metric does not have equal unit diffrences
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skewness
statisical measure of indicating the symmtery of the distrbution around the mean
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standard devation
statsicial measure of dispersion of a varribale around its mean
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varriance
statisical measure of the dispersion of a varribale around its mean
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zero-sum propery
property of the mean value for a single varriable y which means that the sum of the differnce between each y value, yi, and the mean value of y, ybar, is equal to zero
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population
data for every possible revleant case
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control for Z
isolate, account for
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casual theory is
directional, (x-y,y-x, both, neither)
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levels of anaylisis
what youre comapring, comapring indivauals to indivuals, comparing aggerate quantaties
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how to establish causuality in observational studies
statisical contorls. (if we cannot dorectly equate groups the way an expiremnt does with radom assignment, in observational studies we work to contorl for other possible causes of y)
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cross- sectional
at one point in time
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impoarant steps of measurment
1. have a clear goal
2. develop a measure which is both reliable and valid
3. know your data
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2 properties of measurment
1. realiablilty
2. validity
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levels of meausrment
catergoical
ordinal
continous
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meausres of centeral tendency
mode
median
mean
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properties of the mean
zero-sum
least squares
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measures of dispersion
range (high score-low score)
IQR (rnage between 25 and 75)
standard devation
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