Types of Data and Bias in Data Collection


It is likely that you have studied some statistics in previous math courses.  Here are some terms to recall.

Recall

Data are facts or information such as measurements or statistics, collected together for reference or analysis.

Information that is collected directly or first hand is called primary data.

Information that is collected by someone else is called secondary data.

Let's consider a scenario in which you are asked to determine the area of your school. You have two options to collect this data:

  1. Do it yourself (primary data)
  2. Collect data from some other source (secondary data) 

There are advantages and disadvantages to both primary and secondary data.

  Advantages Disadvantages
Primary Data
  • More control over how it is collected
  • Tailors data to the specific question that you are wanting to answer
  • Requires a lot of effort to get the data that you need.  For example, imagine having to measure the area of your school all by yourself
Secondary Data
  • Less effort since someone else has already collected the data
  • Saves time
  • May be unsure of accuracy.
    For example, in the area of your school scenario, you might not know how they measured the size of the school and if the measurement is exact or an approximation

Recall

Population is the entire group of individuals or items that we would like information about.  In other words, the population is the whole group of interest.

A sample is part of the population in the study or a small group chosen from the population.

Example of Population and Sample

This table illustrates the difference between a population and a sample for the situations described.

Situation Population Sample
University of Waterloo (UW) students are asked for their opinion about traffic on the streets near the university All UW students The \(2000\) UW students who were asked for their opinion
The average running time of a movie All movies The \(20\) movies whose running times were recorded
A radio station asks its listeners to call in and vote for their favourite song. All of the listeners of the radio station The \(575\) listeners who called into the station to vote

Check Your Understanding 1


There appears to be a syntax error in the question bank involving the question field of this question. The following error message may help correct the problem:
null


Recall

A census is a collection of data from the entire population.

Depending on the size and accessibility of the population, a census could be easy, difficult or even impossible to carry out.

For instance, collecting data from every person in your school would be possible, but collecting data from every person in the world who has ever visited the country of Australia would be much more challenging.

Example of Census and Sample

This table illustrates the difference between a census and a sample for each given situation.

Situation Census Sample
Determine the favourite item on the menu in the school cafeteria Ask every student in the school Ask \(100\) students in the school
Determine the number of items that are being donated to a local school supply drive Count all of the donated items Count all of the donated items in one box and estimate

Slide Notes

Glossary

All Slides

Ways to Collect Data

Some of the ways we can collect data are:

  

Bias 

Bias is an emphasis on characteristics that are not typical of an entire population and may result in misleading conclusions.

 

Survey Bias

A biased set of survey questions can lead to response and non-response bias.

Bias in the Wording of a Question

Bias in the Choices of Answers Provided

Bias can be minimized by paying attention to how we word the questions. Here are some strategies:

Bias in Sample Groups

We need samples because conducting a census isn't always possible:

Paused Finished
Slide /

Check Your Understanding 2


There appears to be a syntax error in the question bank involving the question field of this question. The following error message may help correct the problem:
null