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Statistics Chapter 12
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23
Mathematics
12th Grade
11/08/2009

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Term
Population
Definition
the entire group of individuals or instances about whom we hope to learn
Term
Sample
Definition
a (representative) subset of a population, examined in hope of learning about the population
Term
Sample survey
Definition
a study that asks questions of a sample drawn from some population in the hope of learning something about the entire population, e.g. polls taken to assess voter preferences
Term
Bias
Definition
any systematic failure of a sampling method to represent its population; tend to over or underestimate parameters; almost impossible to recover from; examples include voluntary response, undercoverage, nonresponse bias, response bias
Term
Randomization
Definition
each individual is given a fair, random chance of selection
Term
Sample size
Definition
the number of individuals in a sample; sample size determines how well the sample represents the population, not the fraction of the population sampled
Term
Census
Definition
a sample that consists of the entire population
Term
Population parameter
Definition
a numerically valued attribute of a model for a population
Term
Statistic, sample statistic
Definition
values calculated for sampled data; those that correspond to, and thus estimate, a population parameter, are of particular interest
Term
Representative
Definition
a sample is said to be representative if the statistics computed from it accurately reflect the corresponding population parameters
Term
Simple Random Sample (SRS)
Definition
a simple random sample of sample size n is a sample in which each set of n elements in the population has an equal chance of selection
Term
Sampling frame
Definition
a list of individuals from whom the sample is drawn
Term
Sampling variability
Definition
the natural tendency of randomly drawn samples to differ, one from another; not an error, a natural result from random sampling
Term
Stratified random sample
Definition
a sampling design in which the population is divided into several sub-populations called strata and random samples are then drawn from each stratum
Term
Cluster sample
Definition
a sampling design in which entire groups, or clusters, are chosen at random; usually done for convenience, practicality or cost; clusters are heterogeneous
Term
Multistage sampling
Definition
sampling schemes that combine several sampling methods
Term
Systematic sample
Definition
a sample drawn by selecting individuals systematically from a sampling frame; can be used when there is no relationship between the order of the sampling frame and the variables of interest
Term
Pilot
Definition
a small trial run of a survey to check whether questions are clear; can reduce errors due to ambiguous questions
Term
Voluntary response bias
Definition
bias introduced to a sample when individuals can choose on their own whether to participate in the sample; always invalid and cannot be recovered
Term
Convenience sample
Definition
sample consists of the individuals who are conveniently available; often fail to be representative because every individual in the population is not equally convenient to the sample
Term
Undercoverage
Definition
a sampling scheme that biases the sample in a way that gives a part of the population less representation than it has in the population
Term
Nonresponse bias
Definition
bias introduced when a large fraction of those sampled fails to respond; those who do respond are likely to not represent the entire population
Term
Response bias
Definition
anything in a survey design that influences responses, e.g. wording of questions, which may suggest a favored response
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