Statistics Population/Sample Survey. Statistics Practice of collecting and analyzing data to make future decisions. For example, Lays Potato Chips offers.

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Presentation transcript:

Statistics Population/Sample Survey

Statistics Practice of collecting and analyzing data to make future decisions. For example, Lays Potato Chips offers a wide variety of flavors Using sampling methods Lays surveys its population to determine which flavors will continue to be sold.

Population Every element in the universe of interest ; all the possible football teams

Sample A subset of the population ; NFC East

Survey Question asked of the sample group. Who will win the Super Bowl?

Statistics is fun! Population – every element in the universe of interest Sample – a subset of the population Survey – question asked of the smaller group

Kinds of Samples Statistics is still fun

Random – Choose your population - 7 th graders/7 th grade teachers/7 th grade parents. – Put all the names in a hat and draw out 20 – this is your sample. – Each is chosen by chance to answer the survey question. – Considered unbiased because everyone has an equal chance of being chosen. Is the BGT a good field trip for the 7 th grade?

Stratified Random – Same population divided into groups based on a common theme (7 th grade students, 7 th grade teachers, 7 th grade parents). No overlapping between groups No group excluded – Draw out 20 names from each group – this is your random sample to answer the survey question. – Considered unbiased because everyone still has an equal chance of being chosen but every subgroup is included. Is the BGT a good field trip for the 7 th grade?

Cluster - Same population divided into groups based on a common theme (7 th grade students, 7 th grade teachers, 7 th grade parents). -Randomly pick one group. Everyone in the subgroup is included. This is your sample that will answer the survey question. -Considered biased because you have excluded two groups. Is the BGT a good field trip for the 7 th grade?

Systematic Random – Same population - 7 th graders/7 th grade teachers/7 th grade parents. – Sample is based by choosing every ‘nth’ person. For example, every 8 th person will answer the survey question. – Still random but more constraints. – Considered biased because one subgroup might be over or under represented. Is the BGT a good field trip for the 7 th grade?

Convenience – Same population - 7 th graders/7 th grade teachers/7 th grade parents. – Sample is based on the individuals that are easiest to reach. For example survey question is asked during 1 st lunch in the US cafeteria or during the 7 th grade parent potluck dinner. – Considered biased because one subgroup almost certainly will be over or under represented. Is the BGT a good field trip for the 7 th grade?

Voluntary Sample – Same population - 7 th graders/7 th grade teachers/7 th grade parents. – Individuals choose to respond to the survey question. This is your sample. – Considered biased because people with strong opinions respond. Is the BGT a good field trip for the 7 th grade?