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Statistics
Data collection; methods of data collection, organization, analysis and presentation of data
Statistic
numerical summary characteristic of a sample
Parameter
a number that describes a characteristic of a population
Census
The collection of data from every member of the population
Data
a collection of observations
Types of Statistics
Descriptive Statistics Inferential Statistics
Standard of Deviation
Set of a sample values is a measure of variation of values about the mean
Variance
Variance = standard deviation squared
Variability
Variability has to do with how spread out the number are How much does each individual value differ from the center
Range
A measure of variability. R=Max-Min
If there is no standard deviation, s= __?
0
MethodologicalApproaches
Descriptive X is Y Correlational X is related to Y Experimental X Causes Y
Samples should be selected _____.
Randomly
Random selection corrects for ______ ________ that may confound results.
systematic bias
Methods of Sampling
Random Systematic Convenience Stratified Cluster
Random Sampling
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
Systematic Sampling
Select some starting point and then select every Nth element in the population. Considered to be arbitrary so it seems unbiased
Convenience Sampling
Data or results that are easy to get People that are in your immediately vicinity
Stratified Sampling
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
Cluster Sampling
Divide the population into sections (or clusters) randomly select some of those clusters choose all members from selected clusters usually clustered by geography
Strategies to avoid confounding
Blinding Matching Randomized controlled trial
Randomized controlled trial is the ____ ______ of research.
Gold standard
Causal Relationship: Changes in x ____ changes in y
Causes
Relationships may be _______ & _______
Bivariate Multivariate
Which variable is manipulated by the investigator?
Independent
Heteroscedacity
Condition where the variance of the residuals is not constant
Common Errors Involving Correlation
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.
Classical test theory
O = T + E O = Observed Score T = True Score E = Error
Levels of Measurement
(Lowest to highest) nominal ordinal interval ratio
Nominal
Mutual exclusive, unordered categories Ex. Gender Movie Genres
Ordinal
Characteristics that can be put in order, but there is no consistent difference between adjacent scores Ex. Movie Ratings Olympic Medals
Interval
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)
Ratio
Variable refer to quantities of units on a continuum Has an absolute zero Ex. Annual Salary Distance traveled

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