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POLI stat
intro to statistics
36
Political Studies
Undergraduate 3
02/26/2009

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Term
Reliability
Definition
the extent to which a measure is repeatable or consistent. If it is reliable, repeating that same measure on the same case/observation will yield the same values for the variable

r=t/(t+e)
Term
observed score
Definition
=true score + error
x=t+e
Term
tests of reliablitiy
Definition
test retest--perform the same test multiple times

alternative form--same test/concept, different implementation/method and different time, reliability assesed by correlation

Intercoder Reliability--different observer using the same measure
Term
validity
Definition
a valid measure accurately represents the concept it is trying to measure.
an invalid measure measures something else than what was intended
Term
types of validity
Definition
face validity,
content validity
construct validity
Term
face validity
Definition
seems like a valid way to measure a concept on the face value
Term
content reliability
Definition
the amount to which a measure represents/addresses all faces of a concept
Term
construct reliability
Definition
the amount to which it is related to other measures that it is required to be related to.
Term
test retest
Definition
test retest--perform the same test multiple times
Term
alternative form
Definition
alternative form--same test/concept, different implementation/method and different time, reliability assesed by correlation
Term
Intercoder Reliability
Definition
Intercoder Reliability--different observer using the same measure
Term
critical steps
Definition
1. clear goal
2. reliable and valid measure
3. comparaility
4. know your data
Term
hypotheses
Definition
characterisits,
general and specific, declarative form, abt expected relationship, brief, direct, guided by a theory
Term
skewness
Definition
measures symmetry,
not skewed: cases tend to cluster symmetrically around the mean and taper off evenly

skewed: one tail is longer and skinnier, affects mean not median
Term
positive skew
Definition
right tail is longer and skinnier, pulls mean upward
Term
negative skew
Definition
left tail is longer and skinnier, pulls mean downward
Term
types of variables
Definition
1. categorical
2. ordinal
3. continuous
Term
categorical variable
Definition
variables are clearly defined in seperate categories. cannot rank and there is no natural order
Term
ordinal variable
Definition
varaibles are clearly defined. you can rank. not equal unit differences
ex. political identification
left independent right
Term
continuous variable
Definition
variables clearly defined, can rank, equal unit differences
ex. annual income
Term
descriptive statistics
Definition
organize and summarize data
frequencies, porportions, percents, ratios, rates
Term
central tendency
Definition
estimation of the center of a distribution of values, can use mean or median
Term
rank statistics
Definition
can be presented using a box and whisker plot
Term
variance
Definition
how spread out a distribution is var(y)= s^2(y)={the sum of (yi- average y)^2} /[n-1]
Term
mean
Definition
average
(sum of Yi)/n
"expected value"
Term
standard deviation
Definition
more accurate measure of the distribtion, measures how far an observation is from the mean. average difference between each of our cases and the mean

st dev= s(y)= square root of variance= square root of [(sum yi-mean y)^2/n-1]
Term
zero sum property
Definition
sum (yi- mean 7)=0
the sum of (all variables of y minus the mean) is equal to zero
Term
least square property
Definition
the sum of (yi-mean y)^2 < the sum of (yi-c)^2 when c doesnt equal the mean of y
Term
sample
Definition
subset of the population
Term
central limit theorem
Definition
regardless of the distribution, the expected value(mean) for the sample will be normally distributed around the population expected value (mean)
Term
normal distribution
Definition
skewness=0 kurtosis=0
mean=median=mode
1 st dev=68% of data
2 st dev=95% of data
3 st dev=99.7% of data
Term
kurtosis
Definition
indicates the steepness of the statistical distribution
positive=very steep
negative=not steep, flatter
Term
4 hurdles
Definition
1. credible causal mechanism?
2. could y cause x?
3. covariation?
4. confounding variable z?
Term
rules of the road
Definition
1.Don't let data drive the theory
2.consider only Empirical evidence
3.make your theories Causal
4.Avoid normative statements
5.Purse parsimony and generality
Term
standard error
Definition
standard deviation of sample mean
sy/square root of n
Term
how to find the range of st deviation
Definition
mean of y +/- 1 x se= range for 1 st dev(68%of data)

mean of y +/- 2 x se= range for 2 st dev(95%of data)

mean of y +/- 3 x se= range for 3 st dev(99.7%of data)
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