DATA GATHERINGSanta Rosa Science and Technology High SchoolBasic StatisticsClass 2011-2012
OBJECTIVESAt the end of the lesson, students are expected to:1. Familiarize oneself with the various ways of collecting or gathering data2. Determine the sample size from a population using the Slovin’s Formula3. Identify the appropriate data-gathering technique in conducting research4. Revisit their research project and identify the sample size and data-gathering technique used.
DATA GATHERING TECHNIQUES1. The Direct or Interview Method The researcher has direct contact with the interviewee. The researcher gathers information by asking questions to the interviewee. Example: Multiliver Company would interview “mallers” regarding their favorite brand of toothpaste, soap or shampoo. Pros: The researcher can get more accurate answers since clarifications can be made if the respondent does not understand the question. Cons: This method is costly and time- consuming
DATA GATHERING TECHNIQUES2. The Indirect or Questionnaire Method The researcher makes use of a written questionnaire. The researcher gives or distributes the questionnaire to the respondents either by personal delivery or by mail. Example: Sudoku Sadako would send out questionnaires through e-mails regarding people’s view and familiarization on the game of sudoku. Pros: The researcher can save on time and money in gathering the information needed because questionnaires can be given to a large number of respondents at the same time. Cons: The researcher cannot expect that all distributed questionnaires will be retrieved because some respondents simply ignore the questionnaires. Clarifications cannot be made if the respondent does not understand the question.
DATA GATHERING TECHNIQUES3. The Registration Method This method is governed by laws. Example: The number of registered professionals can be found at the Professional Regulation Commission (PRC). The number of births and death rates are registered in the National Statistics Office (NSO). Pros: This method is the most reliable since it is enforced by laws. Cons: Data are limited to what are listed in the document.
DATA GATHERING TECHNIQUES3. The Experimental Method This method is utilized to find out cause and effect relationships. Example: Medical technologists would like to know the effect of a new brand of vitamins on the growth of toddlers. The new brand will be taken by a set of toddlers, while another set will be given the already existing brand. The growth of toddlers will then be compared to determine which vitamins is better. Pros: This method goes beyond plain description of data. Cons: Care should be taken on making conclusions to the result of the experiment.
DETERMINING THE SAMPLE SIZESlovin’s Formula where n = sample size N = population size e = margin of error
THE MARGIN OF ERRORWhen we use a sample, we do not get the actual value but just an estimate of the parameter. Hence, there is an error associated when using the sample. We call that the margin of error represented by “e”. Example: Suppose we want to find the average age of the second year students of SRSTHS. However, due to insufficient time, only the students in the third floor were used to estimate the average height. Obviously, the result is not the actual average height but just an estimate and thus, there is really an error when we use the sample instead of the population.
EXAMPLE IN FINDING THE SAMPLESIZEA group of researchers will conduct a survey to find out the opinion of residents of a particular community regarding the hospital arrest of GMA. If there are 15000 residents in the community and the researchers plan to use a sample using a 10% margin of error, what should the sample size be? * A 10% margin of error means that the researcher is 90% confident that the result obtained using the sample will closely approximate the result had they used the population.
Suppose that in the first example, the researchers would like to use a 5% margin of error. What should be the size of the sample?* Observe that as we reduce the margin of error, the sample size gets larger. Hence, if we want to have a more accurate result, we have to use a larger sample.
EXERCISES1. Below are researchable problems. Identify the most appropriate method/s of gathering data to be used. Explain and justify your answer.a. A study to identify the factors being considered by the consumers in buying shoes, clothes, and personal accessories.b. A study to find out if a new brand of drug is effective in curing tuberculosis.c. Researches to determine the mortality rate from 1990 to 1998.d. An approach to find out the relationship between age and mental ability.e. A study to determine the study habits of third year high school students in Manila.f. An inquiry on the average allowance of second year high school students in a certain school.
2. A researcher plans to conduct a survey. If the population size is 18,000, find the sample size if the desired margin of error isa. 10% c. 1%b. 5% d. 3%3. Given the following population size and margin of error, determine the desired sample size.a. N = 40 000 e = 10%b. N = 15 000 e = 5%c. N = 20 000 e = 2%d. N = 50 000 e = 1%