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13 Cards in this Set
- Front
- Back
Population
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A set of all items or individuals of interest
Examples: - All likely voters in the next election - All parts produced today - All sales receipts for November |
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Sample
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A subset of the population
Examples: - 1000 voters selected at random for interview - A few parts selected for destructive testing - Every 100th receipt selected for audit |
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Why Sample?
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- Less time consuming than a census
- Less costly to administer than a census - It may not be possible to conduct a census - It is possible to obtain statistical results of a sufficiently high precision based on samples. |
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Simple Random Samples
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- Every individual or item from the population has an equal chance of being selected
- Selection may be with replacement or without replacement - Samples can be obtained from a table of random numbers or computer random number generators |
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Parameter
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a summary measure computed to describe a characteristic of the population
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Statistic
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a summary measure computed to describe a characteristic of the sample
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Inferential Statistics
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Making statements about a population by examining sample results
Sample Statistics (known) --> Inference --> Population Parameters (unknown but can be estimated from sample evidence) |
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Inferential Statistics Cont.
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Drawing conclusions and/or making decisions concerning a population based on sample results
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Estimation
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Estimate the population mean by using sample mean
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Hypothesis Testing
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Use sample evidence to test the claim that the population mean is something
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Data Types
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Data
Qualitative v. Quantitative (categorical) (numerical) Ex. Discrete v Continuous - marital status - political party - eye color |
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Discrete v. Continuous
(Quantitative Data Collection) |
Discrete - Counted Items
Ex. - # of Children - Defects per hour Continuous - Measured Characteristics Ex. - Weight - Voltage |
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Data Types
Time Series v. Cross Sectional |
Time Series
- A set of ordered data values observed at successive points in time Cross Sectional - A set of data values observed at a fixed point in time |