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Sample Surveys ,[object Object]
SAMPLE Surveys ,[object Object],[object Object],[object Object],[object Object]
Example: An online poll use voluntary response samples. Why would these samples have bias?
Types of Sampling 1.  SIMPLE RANDOM SAMPLING; A sample size of n is selected in such a way that  every possible sample of size n from the population has an equal chance of being selected.  2. STRATIFIED RANDOM SAMPLING; To do this first divide the population into at least two different subgroups so that the individuals or subjects within each subgroup share the same characteristics. Then a simple random sample is drawn from each subgroup and combined to form the full sample.
3. SYSTEMATIC RANDOM SAMPLE; Basically there is a system to applying a random sampling. That is say we wanted to have a sample of size 500 from a population of 10,000, we assign each member of the population with a number. Then we divide the population by the sample size, thus 10,000÷500=20. Now we randomly pick some number between 1 and 20 say 13! Then 13 becomes our starting point and we select every 20th number from 13 onwards.
4. CLUSTER SAMPLING; For this the population is divided into sections or  clusters. Then some of those clusters are randomly selected and all members from those clusters are chosen. 5. QUOTA SAMPLING; In quota sampling the selection of the sample is made by the interviewer, who has been given quotas to fill from specified sub-groups of the population.  For example, an interviewer may be told to sample 50 females between the age of 45 and 60. There are similarities with stratified sampling, but in quota sampling the selection of the sample is non-random.  Anyone who has had the experience of trying to interview people in the street knows how tempting it is to ask those who look most helpful, hence it is not the most representative of samples, but extremely useful.
6. CONVENIENCE  SAMPLING; Subjects are chosen in the most convenient way possible.
[object Object],Examples:  In each of the following, identify the type of sampling used:
[object Object],Solution
[object Object],Test Ladies
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],Reliability of Data If sample data is not collected  in an appropriate way, then the data may be unreliable.
Collecting Data
Surveys ,[object Object],[object Object],[object Object],[object Object],[object Object],Most Surveys use a questionnaire and can be carried out by: What do you think are the positives and negatives of each type of survey?
Survey Advantages Disadvantages Face-to face interview Questions can be explained to the interviews. - Not random. - Expensive to carry out. Telephone interview - It is possible to select sample from almost the entire adult population. - Questions can be explained to the interviewee. Expensive in comparison to postal and online surveys. Postal questionnaire Inexpensive. People do not always reply to postal surveys and those who reply may not be representative of the whole population. Online questionnaires -  Very low cost. - Anonymity of respondents ensures more honest   answers to sensitive questions. Not representative of the whole population. Only those who go online and do online surveys are represented. Observations - Low cost. - Easy to administer. - Not suitable for many surveys. - Questions cannot be explained.
How do we design a questionnaire? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A questionnaire is a set of questions designed to obtain data from a population. QUESTIONS SHOULD:
Homework Check! 1. What are the advantages and disadvantages of using an online questionnaires when carrying out a survey? 2. You are asked to advise a 1st year students on designing a questionnaire, what four points of information would you give them?
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],(a) What is wrong with these questions? (b) Design better questions for Britney to use? Britney wants to gather information on people’s interest in sport. Here is the questionnaire she designs.
Steps in a Statistical Investigation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solution (a) The question does not allow for all possible sports. While it may not be possible to include all types of sport, it is possible to cater for everybody if an ‘Other’ alternative is included. QUESTION 1 1. What is your favourite type of sport? (i) Tennis (ii) Rugby (iii) Athletics (iv) Other
Q UESTION 2. (a) There are gaps between 1km and 5km and also between 10km and 20km. 2. How far would you travel to see a competitive sports fixture? (i) Less than 1km (ii) 1 - 10 km (iii) Greater than 10km but less than 20km (iv) 20 km or more
QUESTION 3. (a) This question needs to be split into two questions. 3. Do you participate in sport? (i) Yes (ii) No 4. Do you watch sport on TV? (i) Yes (ii) No

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Sample Surveys

  • 1.
  • 2.
  • 3. Example: An online poll use voluntary response samples. Why would these samples have bias?
  • 4. Types of Sampling 1. SIMPLE RANDOM SAMPLING; A sample size of n is selected in such a way that every possible sample of size n from the population has an equal chance of being selected. 2. STRATIFIED RANDOM SAMPLING; To do this first divide the population into at least two different subgroups so that the individuals or subjects within each subgroup share the same characteristics. Then a simple random sample is drawn from each subgroup and combined to form the full sample.
  • 5. 3. SYSTEMATIC RANDOM SAMPLE; Basically there is a system to applying a random sampling. That is say we wanted to have a sample of size 500 from a population of 10,000, we assign each member of the population with a number. Then we divide the population by the sample size, thus 10,000÷500=20. Now we randomly pick some number between 1 and 20 say 13! Then 13 becomes our starting point and we select every 20th number from 13 onwards.
  • 6. 4. CLUSTER SAMPLING; For this the population is divided into sections or clusters. Then some of those clusters are randomly selected and all members from those clusters are chosen. 5. QUOTA SAMPLING; In quota sampling the selection of the sample is made by the interviewer, who has been given quotas to fill from specified sub-groups of the population.  For example, an interviewer may be told to sample 50 females between the age of 45 and 60. There are similarities with stratified sampling, but in quota sampling the selection of the sample is non-random.  Anyone who has had the experience of trying to interview people in the street knows how tempting it is to ask those who look most helpful, hence it is not the most representative of samples, but extremely useful.
  • 7. 6. CONVENIENCE SAMPLING; Subjects are chosen in the most convenient way possible.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 14.
  • 15. Survey Advantages Disadvantages Face-to face interview Questions can be explained to the interviews. - Not random. - Expensive to carry out. Telephone interview - It is possible to select sample from almost the entire adult population. - Questions can be explained to the interviewee. Expensive in comparison to postal and online surveys. Postal questionnaire Inexpensive. People do not always reply to postal surveys and those who reply may not be representative of the whole population. Online questionnaires - Very low cost. - Anonymity of respondents ensures more honest answers to sensitive questions. Not representative of the whole population. Only those who go online and do online surveys are represented. Observations - Low cost. - Easy to administer. - Not suitable for many surveys. - Questions cannot be explained.
  • 16.
  • 17. Homework Check! 1. What are the advantages and disadvantages of using an online questionnaires when carrying out a survey? 2. You are asked to advise a 1st year students on designing a questionnaire, what four points of information would you give them?
  • 18.
  • 19.
  • 20. Solution (a) The question does not allow for all possible sports. While it may not be possible to include all types of sport, it is possible to cater for everybody if an ‘Other’ alternative is included. QUESTION 1 1. What is your favourite type of sport? (i) Tennis (ii) Rugby (iii) Athletics (iv) Other
  • 21. Q UESTION 2. (a) There are gaps between 1km and 5km and also between 10km and 20km. 2. How far would you travel to see a competitive sports fixture? (i) Less than 1km (ii) 1 - 10 km (iii) Greater than 10km but less than 20km (iv) 20 km or more
  • 22. QUESTION 3. (a) This question needs to be split into two questions. 3. Do you participate in sport? (i) Yes (ii) No 4. Do you watch sport on TV? (i) Yes (ii) No