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Sample Designs and Sampling Procedures
Research Methodology Sample Designs and Sampling Procedures
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Sampling Terminology Sample Population or universe Population element
Census
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Sample Subset of a larger population
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Population Any complete group
A population is the total collection of elements about which we wish to make some inferences. Any complete group People Sales territories Stores
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Census Investigation of all individual elements that make up a population A census is a count of all the elements in a population.
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Population Frame A list, map, directory, or other source used to represent the population Overregistration -- the frame contains all members of the target population and some additional elements Example: using the chamber of commerce membership directory as the frame for a target population of member businesses owned by women. Underregistration -- the frame does not contain all members of the target population. Example: using the chamber of commerce membership directory as the frame for a target population of all businesses. 5
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Reasons for Taking a Census
Eliminate the possibility that a random sample is not representative of the population. The person authorizing the study is uncomfortable with sample information. 4
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Sampling The process of using a small number of items or parts of larger population to make a conclusions about the whole population
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Reasons for Sampling Sampling can save money. Sampling can save time.
For given resources, sampling can broaden the scope of the data set. Because the research process is sometimes destructive, the sample can save product. If accessing the population is impossible; sampling is the only option. © 2002 Thomson / South-Western 3
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Population, sample and individual cases
Selecting samples Population, sample and individual cases Source: Saunders et al. (2009) Figure 7.1 Population, sample and individual cases
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Sampling- a valid alternative to a census when
The need to sample Sampling- a valid alternative to a census when A survey of the entire population is impracticable Budget constraints restrict data collection Time constraints restrict data collection Results from data collection are needed quickly
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Overview of sampling techniques
Source: Saunders et al. (2009) Figure 7.2 Sampling techniques
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Stages in the Selection of a Sample Define the target population
Select a sampling frame Determine if a probability or nonprobability sampling method will be chosen Plan procedure for selecting sampling units Determine sample size Select actual sampling units Conduct fieldwork
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Target Population The specific , complete group to research project
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Sampling Frame A sample frame is the listing of all population elements from which the sample will be drawn.
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Sampling Units Group selected for the sample
Primary Sampling Units (PSU) Secondary Sampling Units Tertiary Sampling Units
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Random vs Nonrandom Sampling
Every unit of the population has the same probability of being included in the sample. A chance mechanism is used in the selection process. Eliminates bias in the selection process Also known as probability sampling Nonrandom Sampling Every unit of the population does not have the same probability of being included in the sample. Open the selection bias Not appropriate data collection methods for most statistical methods Also known as nonprobability sampling 6
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Random Sampling Error The difference between the sample results and the result of a census conducted using identical procedures Statistical fluctuation due to chance variations
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Systematic Errors Nonsampling errors Unrepresentative sample results
Not due to chance Due to study design or imperfections in execution
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Bias Bias is a systematic error that can prejudice your evaluation findings in some way. Sampling bias is consistent error that arises due to the sample selection. For survey researchers, sampling biases for averages derive from three sources: (1) imperfect sampling frames, (2) nonresponse bias, and (3) measurement error. For example, distributing a questionnaire at the end of a 3-day conference is likely to include more people who are committed to the conference so their views would be overrepresented.
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Errors Associated with Sampling
Sampling frame error Random sampling error Nonresponse error
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Two Major Categories of Sampling
Probability sampling Known, nonzero probability for every element Nonprobability sampling Probability of selecting any particular member is unknown
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Sampling Non Probability Samples
A non probability sample relies on the researcher selecting the respondents. They are considered to be: Interpretive Subjective Not scientific Qualitative Unrepresentative
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Nonprobability Sampling
Convenience Judgment Quota Snowball
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Sampling Probability Samples
Probability samples offer each respondent an equal probability or chance at being included in the sample. They are considered to be: Objective Empirical Scientific Quantitative Representative
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Probability Sampling Simple random sample Systematic sample
Stratified sample Cluster sample Multistage area sample
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Convenience Sampling Convenience samples are nonprobability samples where the element selection is based on ease of accessibility. They are the least reliable but cheapest and easiest to conduct. Examples include informal pools of friends and neighbors, people responding to an advertised invitation, and “on the street” interviews.
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Judgment Sampling Also called purposive sampling
An experienced individual selects the sample based on his or her judgment about some appropriate characteristics required of the sample member
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Quota Sampling Ensures that the various subgroups in a population are represented on pertinent sample characteristics To the exact extent that the investigators desire It should not be confused with stratified sampling.
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Snowball Sampling A variety of procedures
Initial respondents are selected by probability methods Additional respondents are obtained from information provided by the initial respondents
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Simple Random Sampling
A sampling procedure that ensures that each element in the population will have an equal chance of being included in the sample
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Simple Random Sampling: Random Number Table
9 4 3 7 8 6 1 5 2 N = 30 n = 6 10
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Simple Random Advantages Disadvantages
Easy to implement with random dialing Disadvantages Requires list of population elements Time consuming Larger sample needed Produces larger errors High cost In drawing a sample with simple random sampling, each population element has an equal chance of being selected into the samples. The sample is drawn using a random number table or generator. This slide shows the advantages and disadvantages of using this method. The probability of selection is equal to the sample size divided by the population size. Exhibit 14-6 covers how to choose a random sample. The steps are as follows: Assign each element within the sampling frame a unique number. Identify a random start from the random number table. Determine how the digits in the random number table will be assigned to the sampling frame. Select the sample elements from the sampling frame.
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Systematic Sampling A simple process
Every nth name from the list will be drawn
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Systematic Sampling Convenient and relatively easy to administer
Population elements are an ordered sequence (at least, conceptually). The first sample element is selected randomly from the first k population elements. Thereafter, sample elements are selected at a constant interval, k, from the ordered sequence frame. k = N n , where : sample size population size size of selection interval 14
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Systematic Advantages Disadvantages Simple to design
Easier than simple random Easy to determine sampling distribution of mean or proportion Disadvantages Periodicity within population may skew sample and results Trends in list may bias results Moderate cost In drawing a sample with systematic sampling, an element of the population is selected at the beginning with a random start and then every Kth element is selected until the appropriate size is selected. The kth element is the skip interval, the interval between sample elements drawn from a sample frame in systematic sampling. It is determined by dividing the population size by the sample size. To draw a systematic sample, the steps are as follows: Identify, list, and number the elements in the population Identify the skip interval Identify the random start Draw a sample by choosing every kth entry. To protect against subtle biases, the research can Randomize the population before sampling, Change the random start several times in the process, and Replicate a selection of different samples.
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Stratified Sampling Probability sample
Subsamples are drawn within different strata Each stratum is more or less equal on some characteristic Do not confuse with quota sample
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Stratified Random Sample: Population of FM Radio Listeners
years old (homogeneous within) (alike) years old years old Hetergeneous (different) between Stratified by Age 13
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Stratified Advantages Disadvantages Control of sample size in strata
Increased statistical efficiency Provides data to represent and analyze subgroups Enables use of different methods in strata Disadvantages Increased error if subgroups are selected at different rates Especially expensive if strata on population must be created High cost In drawing a sample with stratified sampling, the population is divided into subpopulations or strata and uses simple random on each strata. Results may be weighted or combined. The cost is high. Stratified sampling may be proportion or disproportionate. In proportionate stratified sampling, each stratum’s size is proportionate to the stratum’s share of the population. Any stratification that departs from the proportionate relationship is disproportionate.
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Cluster Sampling Population is divided in to into nonoverlapping clusters or areas Each cluster is a miniature, or microcosm, of the population. A subset of the clusters is selected randomly for the sample. 16
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Cluster Sampling Advantages
More convenient for geographically dispersed populations Reduced travel costs to contact sample elements Simplified administration of the survey Unavailability of sampling frame prohibits using other random sampling methods Disadvantages Statistically less efficient when the cluster elements are similar Costs and problems of statistical analysis are greater than for simple random sampling 17
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Cluster Sampling: Some Test Market Cities
San Jose Boise Phoenix Denver Cedar Rapids Buffalo Louisville Atlanta Portland Milwaukee Kansas City San Diego Tucson Grand Forks Fargo Sherman- Dension Odessa- Midland Cincinnati Pittsfield 18
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Cluster Advantages Disadvantages
Provides an unbiased estimate of population parameters if properly done Economically more efficient than simple random Lowest cost per sample Easy to do without list Disadvantages Often lower statistical efficiency due to subgroups being homogeneous rather than heterogeneous Moderate cost In drawing a sample with cluster sampling, the population is divided into internally heterogeneous subgroups. Some are randomly selected for further study. Two conditions foster the use of cluster sampling: the need for more economic efficiency than can be provided by simple random sampling, and 2) the frequent unavailability of a practical sampling frame for individual elements. Exhibit 14-7 provides a comparison of stratified and cluster sampling and is highlighted on the next slide. Several questions must be answered when designing cluster samples. How homogeneous are the resulting clusters? Shall we seek equal-sized or unequal-sized clusters? How large a cluster shall we take? Shall we use a single-stage or multistage cluster? How large a sample is needed?
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What is the Appropriate Sample Design?
Degree of accuracy Resources Time Advanced knowledge of the population National versus local Need for statistical analysis
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Internet Sampling is Unique
Internet surveys allow researchers to rapidly reach a large sample. Speed is both an advantage and a disadvantage. Sample size requirements can be met overnight or almost instantaneously. Survey should be kept open long enough so all sample units can participate.
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Internet Sampling Major disadvantage
lack of computer ownership and Internet access among certain segments of the population Yet Internet samples may be representative of a target populations. target population - visitors to a particular Web site. Hard to reach subjects may participate
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Web Site Visitors Unrestricted samples are clearly convenience samples
Randomly selecting visitors Questionnaire request randomly "pops up" Over- representing the more frequent visitors
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Internet Samples Recruited Ad Hoc Samples Opt-in Lists
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4. Ratio Scale Ratio scales are quantitative measures with fixed or true zero. Ratio scales has all four properties of scales that are described above. For example, a weighing scale is a ratio scale. Some other examples are height, price, sales, revenue, profit etc. In all these cases zero implies absence of that characteristic.
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Strengths Of Multiple-Item Scales
Validity Content validity Construct validity Predictive validity Reliability Test-retest reliability Split-half reliability Sensitivity Copyright © Houghton Mifflin Company. All rights reserved.
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Validity The validity of a scale is the extent to which it is a true reflection of the underlying variable it is attempting to measure
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VALIDITY Content”: related to objectives and their sampling.
“Construct”: referring to the theory underlying the target. “Criterion”: related to concrete criteria in the real world. It can be concurrent or predictive. “Concurrent”: correlating high with another measure already validated. “Predictive”: Capable of anticipating some later measure. “Face”: related to the test overall appearance.
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Content Validity Face validity or content validity is the extent to which the content of a measurement scale seems to tap all relevant facets of an issue that can influence respondents’ attitudes
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Exhibit 9.5 Types of Equivalence
Copyright © Houghton Mifflin Company. All rights reserved.
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Construct Validity Construct Validity is the nature of the underlying variable or construct measured by the scale
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Predictive Validity Predictive Validity refers to how well the attitude measure provided by the scale predicts some other variable or characteristic
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Reliability Reliability measures how consistent or stable the ratings generated by the scale are likely to be
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Test-Retest Reliability
Test-Retest Reliability measures the stability of ratings over time and involves administering the scale to the same group of respondents at two different times
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Split-Half Reliability
Split-Half Reliability measures the degree of consistency across items within a scale and can only be assessed for multiple-item scales
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Sensitivity Sensitivity focuses specifically on its ability to detect subtle differences in the attitudes being measured
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Attitudes Attitudes are similar to beliefs, except that they also involve respondents’ evaluative judgments For instance, do respondents feel print advertisements for cigarettes should be banned?
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Attitudes – Conceptually and Operationally
A conceptual definition of attitude may be “a predisposition to respond favorably or unfavorably to a stimulus object” An operational definition of attitude refers to a person’s attitude towards a particular retail store that may be measured as the total of the person’s expressed degree of agreement, on a 5-point, “strongly agree” to “strongly disagree” scale, with each of a set of 20 evaluative statements about various aspects of the retail store
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Attitude Scaling Attitudes Measures in which inferences are drawn from
Widely believed to be a key determinant of behavior Can only be inferred and cannot be directly ascertained Measures in which inferences are drawn from Observed overt behavior Individual's reaction Performance on objective tasks Physiological reactions
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Observing Overt Behavior
Observation of overt behavior is useful when other attitude measurement methods are inconvenient or infeasible An observation study can be used to ascertain the attitudes of very young children toward a variety of toys Copyright © Houghton Mifflin Company. All rights reserved.
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Analyzing Reactions to Partially Structured Stimuli
Projective Techniques The approach of analyzing reactions to partially structured stimuli involves asking respondents to react to or describe in some fashion, an incomplete, vague stimulus
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Evaluating Performance on Objective Tasks
To evaluate performance on objective tasks, respondents are asked to complete an ostensibly objective, well-defined task The nature of their performance is then analyzed to infer their attitudes
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Monitoring Physiological Responses
Monitoring physiological responses is based on the premise that a person's emotional reactions to a stimulus will be accompanied by corresponding involuntary physiological changes
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Self-report Measurements of Attitudes
This method involves asking respondents relatively direct questions concerning attitudes toward whatever is of interest to the researcher The questions are typically in the form of rating scales on which respondents check off appropriate positions that best reflect their feelings
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Graphic Formats A graphic rating scale presents a continuum, in the form of a straight line, along which a theoretically infinite number of ratings are possible Example: Indicate your overall opinion about eBay by placing a mark at an appropriate position on the line below. Very Bad Good
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Itemized Formats Itemized rating scales have a set of distinct response categories Any suggestion of an attitude continuum underlying the categories is implicit They essentially take the form of the multiple-category questions
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Forced Response Choices
A forced-choice scale does not give respondents the option of expressing a neutral or middle-ground attitude
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Forced Response Choices (Cont’d)
Indicate your overall opinion about effectiveness of HR by checking one of the following categories: Very Neither Bad Very Bad Bad nor Good Good Good [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] What is your overall rating of HR in comparison with previous organisation you worked? Much worse Worse About the same Better Much better ( ) ( ) ( ) ( ) ( )
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Non-forced Response Choices
A non-forced-choice scale give respondents the option to express a neutral attitude
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Non-forced Response Choices (Cont’d)
Indicate your overall opinion about effectiveness of HR by placing a mark in the category that best summarizes your feelings. Very Very Bad Good [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] [ ] What is your overall rating of HR in comparison with previous organisation you worked? Much worse Worse Better Much better ( ) ( ) ( ) ( )
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Unbalanced Response Choices
An unbalanced rating scale that can be used if respondents’ opinions about a subject are anticipated to be predominantly positive
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Labeled Response Choices
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Unlabeled Response Choices
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Exhibit 9.2 Rating Scales with Picture Labels
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Number of Scale Positions
A scale with a large number of positions will not be meaningful if respondents are unable to make fine mental distinctions with respect to whatever is being measured More precise measurements should result as the number of scale positions increase
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Commonly Used Multiple-item Scales
Likert Scale Semantic-Differential Scale
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In 1932, Renis Likert invented a measurement method, called the Likert Scales (often called a rating scale), used in questionnaires such as attitude surveys. They allow answers that range from such choices “strongly disagree” to “strongly agree.” It is the most widely used scale in survey research. When responding to a Likert questionnaire item, respondents specify their level of agreement to a statement.
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for example: Strongly ,agree ,Slightly Agree,Undecided ,Slightly Agree, Strongly Disagree ,Disagree, Agree 1. My job provides a lot of variety. _____ 2. My job provides the opportunity for independent action. _____
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Table 9.2 Likert Scale Items
6. 5. 4. 3. 2. 1. ________ The auction site support system is confusing The auction site is not careful with personal information The auction site responds to complaints quickly Agree Strongly The auction site commission is reasonable User registration is complex at this site The online auction site contains an abundance of exhibits Neither Agree nor Disagree Disagree
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Semantic-Differential Scale The Semantic Differential (SD) measures people's reactions to stimulus words and concepts in terms of ratings on bipolar scales defined with contrasting adjectives at each end.
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Exhibit 9.3 Semantic-Differential Scale Items
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Exhibit 9.4 Pictorial Profiles Based on Semantic-Differential Ratings
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