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40 Cards in this Set
- Front
- Back
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residual
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difference of
observed y - predicted y = y - ŷ |
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residual plot
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scatter plot of the regression residual against the explanatory variable.
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outliers
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a point that lies outside the overall pattern of the scatter plot.
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influential outliers
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if removing it would make a markedly change to the results of calculations
outliers in the x direction are usually influential to the least squares regression line |
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lurking variable
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a variable that is not the explanatory or the response variable but it may influence the interpretation of the relationships among those variables
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Simpson's paradox
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an association or comparison that holds for all several groups can reverse directions when the data are combined to form a single group.
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causation
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x causes y
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common response
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z causes x and y
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confounding
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z, and x are influential to y but do not cause y
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anecdotal evidence
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comes from haphazardly selected individual cases, are striking in some way. these cases need not be representative of any larger group of cases
shows bias |
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available data
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data produced in the past that may help answer a present question
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observational study
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observe individual and measure variables of interest but do not attempt to influence the response
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experiment
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deliberately impose some treatment on individuals and observe their response
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random allocation
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assigning people to groups randomly
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compare
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two or more treatments to control the effect of lurking variables
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randomize
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use impersonal chance to assign experimental units to treatments
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repeat
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repeat to reduce chance of variation in the results
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block
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group of experimental units that are known before the experiment to be similar in some way that is expected to affect the response to the treatment.
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block design
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the random assignment of units to treatments for each block
subject --> men--> random assignment--> group 1,2,3--> treatment 1,2,3--> compare survival the random assignment of units to treatments for each block subject --> women--> random assignment--> group 1,2,3--> treatment 1,2,3--> compare survival |
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population
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the entire group of individuals that we want information about
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sample
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part of the population that we actually examine in order to gather information
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voluntary response sample
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people who choose to respond, are bias b/c people with strong opinions are more likely to respond
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simple random sample
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individuals from the population chosen in such a way that every set of individuals has an equal chance to be the sample actually selected
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probability sample
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chosen by chance. know what samples are possible and what chance each possible sample has
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stratified random sample
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first divide the population into groups of similar individuals called strata. then choose a separate SRS in each stratum and combine these to form a full sample
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undercoverage
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when a population is left out of the process of choosing the sample
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nonresponse
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individual cant be contacted or doesn't cooperate
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parameters
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number that describes population
a fixed number that we do not know |
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statistic
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describes a sample is known when we take a sample, can change from each sample
used to estimate unknown parameters |
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sampling distribution
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of a statistic, is the distribution of values taken by the statistic in all possible samples of the same size and from the same population
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reduce bias
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use random sampling
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reduce the variability
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use a larger sample
variability: the spread of the sampling design and the sample size |
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institutional review board
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reviews the planned studies in advanced in order to protect the subjects from possible harm
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residual plot, pattern
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don't want a patten
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joint distribution
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always use total
% of people out of total group total divided by total. is/of= %/100 |
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marginal distribution
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always use total
% of people out of one variable individual total divided by total |
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conditional distribution
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of education level for each pet ownership group
when you see for that is the part you are talking about. given that we are talking about pet ownership __% have ____education |
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experimental design
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The plan of the experiment which specifies the treatment conditions (independent variables ), what is to be measured (dependent variables ) and methods of assigning subjects to groups.
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parameter
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mean= μ
standard deviation= σ proportion= p |
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statistic
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mean= xˉ
standard deviation= s proportion=p^ p hat |