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An introduction to statistical studies, including definitions of key terms such as population, sample, parameter, statistic, quantitative and qualitative variables, response and explanatory variables, observational and experimental studies, and types of sampling. It also covers bias in sampling and research. Students will learn how to determine the type of variable for different survey questions and understand the importance of representative samples.
Typology: Lecture notes
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Statistical Studies A population is the group that is being studied by the research A sample is any subset of the population
Example: A principal gives the students in her school a survey to fill out. The entire school is the population. One classroom of students would be a sample.
A parameter describes a population A statistic describes a sample
Example: 47% of students in a school respond they are satisfied with the school lunch options. This is a parameter because it measures the entire population of students. Meanwhile, 36% of the students in Mr. Potter’s class responded that they are satisfied with the school lunch options. This is a statistic because it measures a sample on the students.
Quantitative variables measure an amount of something (can be discrete or continuous) o Discrete variables are finite values (counting values) o Continuous variables can be any amount (measured amounts) Qualitative variables describe a type of something (usually can be thought of as a name or word description)
Example: On a survey given to a patient at a hospital, it asks for height, body weight, regular physician’s name, and how many times they have visited their physician in the last year. Determine what type of variables each of those are.
The response variable is the variable of interest The explanatory variable is the variable that explains or has an effect on the response variable
Example: A researcher wants to determine how the weight of a car affects gas mileage. The variable of interest is the gas mileage, so that is our response variable. The weight of the car explains the gas mileage, so weight is the explanatory variable.
An observational study occurs when no active participation is required on the part of the researcher. There is no influence involved. An experimental study occurs when the explanatory variable is intentionally influenced and changed to see how it affects results.
Example: 10 patients are admitted to a hospital in similar condition. The first researcher monitored these patients to see how long it was before they were discharged. This is an observational study because there was no influence at all on the outcome.
Another 10 patients are admitted to that hospital in similar condition. A second researcher works with a doctor to administer a different dosage of a medication to the patients, and then monitors the patients to see how long it is before they are discharged. This is an experimental study, because the explanatory variable (the dosage of medicine) is being manipulated and influenced in regards to the response variable (how long until discharged).
Types of Sampling
Stratified: The population is divided into groups, or strata, that are homogenous and non-overlapping. The sampling then chooses some of each strata. Systematic: The sampling takes place every kth person, with k being some number Cluster: Sampling takes place with everything from a selected subset of the population at random Convenience: Sampling relies on a voluntary response Simple: Each person or thing in the population has the same chance of being selected
Give an example of each type of sampling: