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KIN 4310: TEST 1
Statistics
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Data collection;
methods of data collection, organization, analysis and presentation of data
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Statistic
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numerical summary characteristic of a sample
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Parameter
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a number that describes a characteristic of a population
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Census
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The collection of data from every member of the population
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Data
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a collection of observations
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Types of Statistics
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Descriptive Statistics
Inferential Statistics
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Standard of Deviation
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Set of a sample values is a measure of variation of values about the mean
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Variance |
Variance = standard deviation squared
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Variability
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Variability has to do with how spread out the number are
How much does each individual value differ from the center
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Range
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A measure of variability.
R=Max-Min
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If there is no standard deviation, s= __?
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0 |
MethodologicalApproaches
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Descriptive
X is Y
Correlational
X is related to Y
Experimental
X Causes Y
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Samples should be selected _____.
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Randomly
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Random selection corrects for ______ ________ that may confound results.
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systematic bias
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Methods of Sampling
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Random
Systematic
Convenience
Stratified
Cluster
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Random Sampling
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Members of the population are selected in such a way that each individual member has an equal chance of being selected
Best and usually takes the most resources
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Systematic Sampling
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Select some starting point and then select every Nth element in the population.
Considered to be arbitrary
so it seems unbiased
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Convenience Sampling
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Data or results that are easy to get
People that are in your immediately vicinity
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Stratified Sampling
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Subdivide the population into at least two different subgroups, then draw a sample from each subgroup (or stratum)
Then you randomly sample inside that strata
Done so you can have an equal amount of balanced groups
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Cluster Sampling
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Divide the population into sections (or clusters) randomly select some of those clusters choose all members from selected clusters
usually clustered by geography
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Strategies to avoid confounding
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Blinding
Matching
Randomized controlled trial
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Randomized controlled trial is the ____ ______ of research.
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Gold standard
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Causal Relationship:
Changes in x ____ changes in y
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Causes
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Relationships may be _______ & _______
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Bivariate
Multivariate
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Which variable is manipulated by the investigator?
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Independent
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Heteroscedacity
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Condition where the variance of the residuals is not constant
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Common Errors Involving Correlation
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1.) Causation: It is wrong to conclude that correlation implies causalty.
2.) Averages: Averages suppress individual variation and may inflate the correlation coefficient.
3.) Linearity: There may be some relationship between x and y even when there is no linear correlation.
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Classical test theory
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O = T + E
O = Observed Score
T = True Score
E = Error
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Levels of Measurement
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(Lowest to highest)
nominal
ordinal
interval
ratio
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Nominal
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Mutual exclusive, unordered categories
Ex.
Gender
Movie Genres
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Ordinal |
Characteristics that can be put in order, but there is no consistent difference between adjacent scores
Ex.
Movie Ratings
Olympic Medals
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Interval
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Variables refer to quantities of units on a continuum
Distance Between variables is meaningful
Cannot get a ratio
Ex.
Dates
Temp. (in F or C)
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Ratio
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Variable refer to quantities of units on a continuum
Has an absolute zero
Ex.
Annual Salary
Distance traveled
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