3.5 Collecting Samples (Text Section 2.3) DEFINITIONS/FORMULAS Random – occurring by chance population size Sampling Interval = sample size TYPES OF SAMPLING Simple Random Sampling A simple random sample requires that all selections must be equally likely and all combinations of selections must be equally likely. (Example 1 on page 95-96) Systematic Random Sampling A systematic random sample is used when you are sampling a fixed percent of the population. A random starting point (i.e. individual, household, or object) is chosen and then you select every kth individual for your study, where ‘k’ is the sampling interval. (Example 2 on page 96) Stratified Random Sampling When using a stratified random sample, the population is divided into groups called strata (such as geographic areas, age groups, places of work, etc.) A simple random sample of the members in each stratum is then taken. Note: The size of the sample for each stratum is proportionate to the stratum’s size. (Example 3 on page 96-97) Cluster Random Sampling Cluster samples require that the population be organized into groups (such as schools, companies, neighbourhoods, etc.) A random sample of groups would then be chosen. All the members of the chosen groups would then be surveyed. (Example 4 on page 97) Multi-Stage Random Sampling Multi-stage samples require that the population be organized into groups. A random sample of groups is taken, followed by a random sample of members of the chosen groups. (Example 5 on page 97-98) Voluntary-Response Sampling In voluntary-response sampling, the researcher simply invites any member of the population to participate in the survey. The results can be skewed because the people who choose to respond are often not representative of the population. Example: Call-in shows, Mail-in surveys Convenience Sampling A sample is selected because it is easily accessible. While obviously not as random as other techniques, such convenience samples can sometimes yield helpful information. Example: survey everyone in your class Destructive Sampling Samples from which the selected elements cannot be reintroduced into the population are called destructive samples. Example: crash testing Homework: Read textbook pages 94-98 Consider what you think to be the advantages and disadvantages of each sampling method Work through homework questions listed on Unit Outline for Day 5