Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Statistics 101: Understanding Populations, Samples, and Sampling Techniques, Lecture notes of Statistics

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

2021/2022

Uploaded on 09/27/2022

lalitlallit
lalitlallit 🇺🇸

4.1

(10)

226 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
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.
1. Height is a continuous variable
2. Body weight is a continuous variable
3. Physician’s name is a qualitative variable
4. Number of times visiting physician is a discrete variable
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.
pf3

Partial preview of the text

Download Statistics 101: Understanding Populations, Samples, and Sampling Techniques and more Lecture notes Statistics in PDF only on Docsity!

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.

  1. Height is a continuous variable
  2. Body weight is a continuous variable
  3. Physician’s name is a qualitative variable
  4. Number of times visiting physician is a discrete variable

 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:

  1. A stratified sampling example would be selecting 5 members of each county in a state to complete a survey. The different counties are the strata.
  2. A systematic sampling example would be a department store that surveys every 10 th^ person that comes through the door to ask them about their experience at the store.
  3. A cluster sampling example would be selecting 8 classrooms at random in a school and giving all of the students in those classrooms a survey to complete. The classrooms are the clusters, because we are sampling everyone in those rooms.