Determining Sample Size – PST06210 Operational Research
NTA Level 6 • Semester 2 • PST06210 Determining Sample Size Operational Research • Source Session/Topic 14 Full source-text version: all educational wording from the extracted learning source is retained; only presenter/tutor metadata and web-layout noise are removed, while formatting is improved for readability. Session 14: Determining Sample Size Total Session Time: 120 minutes + 60 minutes assignment Prerequisites • None Learning Tasks By the end of this session students are expected to be able to: • List the issues to consider when deciding on sample size • Calculate the sample size (desirable) • Determine the sample size(s) most appropriate for the research design (feasible) Resources Needed Flip charts, marker pens, and masking tape Black/white board and chalk/whiteboard markers Computer and LCD Projector SESSION OVERVIEW Activity/ Step Time Content Method 1 05 minutes Presentation Introduction, Learning Tasks Presentation 2 15 minutes Issues to Consider when Deciding on Sample Size Buzzing 50 minutes Presentation 3 Calculation of the Sample Size (Desirable) Brainstorming 4 35 minutes Presentation Determination of Sample Size(s) Most Appropriate for the Research Design (Feasible) 5 Key Points 05 minutes Presentation 6 05 minutes Presentation Evaluation 7 05 minutes Presentation Assignment ___________________________________________________________________________ PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 117 SESSION CONTENTS STEP1: Presentation of Session Title and Learning Tasks (5 minutes) READ or ASK students to read the learning tasks and clarify ASK students if they have any questions before continuing STEP 2: Issues to Consider when Deciding on Sample Size (15 minutes) Activity: Buzzing (5 minutes) ASK students to pair up and buzz on the following question for 2 minutes: What issues should be considered when deciding on sample size? ALLOW few pairs to respond and let other pairs to add on points not mentioned WRITE their response on the flip chart/board CLARIFY and SUMMARIZE by using the content below • There are no fixed rules for sample size in qualitative research. The size of the sample depends on WHAT you try to find out, WHY you try to find out, and HOW you are going to use the data the sample size depends on the type of problem investigated, required precision and to a certain extent, the resource available If your research objective is more complex e.g., attitudes of males and females towards family planning, and has policy implications for a larger area, your sample will be bigger. Very few studies use the whole population (Census) Most studies use a subset of a population (Sample) How big should a sample be? Too large or too little sample is unethical: Too large: waste resources Too little: Inconclusive results ___________________________________________________________________________ PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 118 STEP 3: Calculation of the Sample Size (Desirable) (50 minutes) Activity: Brainstorming (10 minutes) Ask students to brainstorm on the following question: • ‘What is the desirable sample size? ALLOW few students to respond? WRITE their responses on the flip chart/ board CLARIFY and SUMMARISE by using the content below • Desirable sample size is that calculated using standard formulae • The following general rules may help to determine the desirable sample size of any given study: o The desirable sample size depends on the expected variation in the data (of the most important variables): the more varied the data are, the larger the sample size we would need to attain the desired level of accuracy. o The desirable sample size also depends on the number of cells we will have in the cross-tabulations which we need to analyze the results. A rough guideline is to have at least 5 to 10 study units per cell o How big can be calculated. Still, the desirable sample size cannot always be achieved for lack of resources such as time, manpower and money. This constraint applies to quantitative as well as qualitative studies Therefore, the eventual sample size is usually a compromise between what is desirable and what is feasible o Sample size calculations ` The following steps should be taken: Estimate how big the proportion might be (say 80%) Choose the margin of error you will allow in the estimate of the proportion (say + 10%). This means that, if in the survey indeed 80% of the children are found to be vaccinated, this proportion will probably be between 70 and 90% in the whole study population from which the sample was drawn. Choose the precision with which you want to be confident that the vaccination coverage in the whole population is indeed between 70 and 90%. You can never be 100% sure. Do you want to be 95% sure? Or 99%? ___________________________________________________________________________ PST 06210 Operational Research NTA Level 6 Semester 2 Facilitator Guide 119 o Formulae N = z2PQ d2 N = Minimum sample size Z = Constant, Standard normal deviate (1.96 for 95% Confidence level) P = Population proportion with characteristic of interest Q=1–P d = Acceptable Margin of error STEP 4: Determination of Sample Size(s) Most Appropriate for the Research Design (Feasible) (35minutes) The feasible sample size determination o Is not calculated, depends on available resources (human, time, money, transport) Availability of finance: in practice, size of the sample depends upon the amount of money available for the study purposes. This factor should be kept in view while determining the size of sample for large samples result in increasing the cost of sampling estimates o Depends on expected variation in the data: the more varied the data are, the larger the sample size one would need to attain the same level of accuracy o Depends on the number of cells one will have in the cross-tabulations required to analyze the result A rough guideline is to have at least 20-30 study units per cell o Eventual sample size – is a compromise between desirable and feasible o Nature of study: If items are to be intensively and continuously