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If someone was permitted to pick and choose exactly which graduates were included in the sample, it is entirely possible that the sample would overrepresent that person’s interests, which may be entirely unintentional. The terms statistic and parameter are useful for communicating claims and models and will be used extensively in later chapters which delve into making inference on populations.įigure 2.3: Asked to pick a sample of graduates, a nutrition major might inadvertently pick a disproportionate number of graduates from health-related majors.
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We use specific terms in order to differentiate when a number is being calculated on a sample of data ( statistic) and when it is being calculated or considered for calculation on the entire population ( parameter). Yet, we can still conceptualize calculating the average income of all adults in Argentina. So, a “typical” numerical summary is calculated from a sample. However, measuring every unit in the population is usually prohibitive (so the parameter is very rarely calculated). The number (or set of numbers) may be a quantity you are already familiar with (like the average) or it may be something you learn through this text (like the slope and intercept from a least squares model, provided in Section 7.2).Ī numerical summary can be calculated on either the sample of observation or the entire population.
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In most statistical analysis procedures, the research question at hand boils down to understanding a numerical summary. Ideally, a sample is a small fraction of the population.įor instance, 60 swordfish (or some other number) in the population might be selected, and this sample data may be used to provide an estimate of the population average and to answer the research question. Oftentimes, it is not feasible to collect data for every case in a population.Ĭollecting data for an entire population is called a census.Ī census is difficult because it is too expensive to collect data for the entire population, but it might also be because it is difficult or impossible to identify the entire population of interest! In the first question, the target population is all swordfish in the Atlantic Ocean, and each fish represents a case.
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OUTCOME OF A COIN FLIP FOR EXAMPLE CROSSWORD ANDROID
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