Quantitative Methods Elke Johanna de Buhr, PhD Tulane University Textbook Chapters • Creswell, Chapter 8 • (Salkind, Chapters 9, 11, 12) Your Research Proposal I. Introduction • • • • A. Problem statement B. Research question(s) C. Hypothesis D. Definitions of terms II. Review of the relevant literature (the more complete, the better) • A. Importance of the question being asked • B. Current status of the topic • C. Relationship between the literature and the problem statement III. Method • • • • A. Target population B. Research design and sampling C. Data collection plans D. Proposed analysis of the data IV. Implications and limitations Research Proposal: Part I I. Introduction • A. Problem statement • B. Research question(s) • C. Hypothesis • D. Definitions of terms Research Proposal: Part II II. Review of the relevant literature (the more complete, the better) • A. Importance of the question being asked • B. Current status of the topic • C. Relationship between the literature and the problem statement Research Proposal: Part III III. Method • A. Target population • B. Research design and sampling • C. Data collection plans • D. Proposed analysis of the data Research Proposal: Part IV IV. Implications and limitations (Section discussing generalizability, reliability and validity of the collected data.) Chapter Eight: Quantitative Methods Chapter Outline • Defining Surveys and Experiments • Components of a Survey Method Plan • The Survey Design • The Population and Sample • Instrumentation • Variables in the Study • Data Analysis and Interpretation • Components of an Experimental Method Plan • Participants • Variables • Instrumentation and Materials • Experimental Procedures • Threats to Validity • The Procedure • Data Analysis • Interpreting Results Defining Surveys and Experiments • Survey Design • To provide a quantitative or numeric description of trends, attitudes, or opinions of a population by studying a sample of that population • Experimental Design • This approach tests the impact of a treatment or intervention on an outcome, controlling for all other factors that may influence that outcome • The sample is identified and generalizations are made to the population Components of a Survey Method Plan • The Survey Design • The Population and Sample • Instrumentation • Variables in the Study • Data Analysis and Interpretation Checklist of Questions for Designing a Survey Method 1. Is the purpose of the survey stated? 2. Are the reasons for choosing the design mentioned? 3. Is the nature of the survey (cross-sectional vs. longitudinal) identified? 4. Is the population and its size mentioned? 5. Will the population be stratified? If so how? 6. How many people will be in the sample? On what basis was this size chosen? 7. What will be the procedure for sampling these individuals (e.g. random, nonrandom)? Checklist of Questions for Designing a Survey Method 8. What instrument will be used in the survey? Who developed the instrument? 9. What are the content areas addressed in the survey? The scales? 10. What procedure will be used to pilot or field-test the survey? 11. What is the timeline for administering the survey? 12. What are the variables in the study? 13. How do these variables cross-reference with the research questions and items on the survey? Checklist of Questions for Designing a Survey Method 14. What specific steps will be taken in data analysis to do the following: a) b) c) d) e) f) Analyze returns? Check for response bias? Conduct a descriptive analysis? Collapse items into scales? Check for reliability of scales? Run inferential statistics to answer research questions or assess practical implications of the results? g) How will the results be interpreted? A Survey Method Plan The Survey Design • Provide a purpose and rationale for using a survey for the proposed study • Indicate why a survey is the preferred type of data collection procedure for the study, examine the advantages of this design for the study A Survey Method Plan The Survey Design (cont.) • Indicate the type of survey design: • Cross-sectional (data collected at one point in time) • Longitudinal (data collected over time) • Specify the form of data collection (telephone, mail, personal/group interviews, internet surveys) • Examine the strengths and weaknesses for the data collection method(s) chosen A Survey Method Plan The Population and Sample • Identify the population in the study, state the size of the population, means of identifying individuals in the population and availability of sample frames • Specify if the sampling design will be: • Single-stage (there is access to the names of the people in the population and they may be sampled directly) • Multi-stage (will identify groups or organizations who will assist in the gathering the names of individuals who will be sampled) A Survey Method Plan The Population and Sample (cont.) • Identify the selection process for the sample • Probability: Randomized sampling e.g. random sampling • Nonprobability: Nonrandomized sampling e.g. convenience sampling • Indicate if the population and subsequent sample will be stratified based on specific population characteristics e.g. age, gender, income levels or education A Survey Method Plan The Population and Sample (cont.) • Discuss how sample will be selected from available lists • Indicate the number of people in the sample and the procedures used to compute this number • Here attention must be given to the percentage/fraction of the population that will be included in the sample, margin of error, confidence interval, confidence level, and response rate A Survey Method Plan Instrumentation • Name the survey instrument used to collect data (designed or modified for this research) • When using an existing instrument, describe the established validity scores from previous use. Validity scores in a survey identifies whether the instrument is a good one to be used: a) Content validity b) Predictive or concurrent validity c) Construct validity A Survey Method Plan Instrumentation (cont.) • Mention whether scores resulting from past use of the instrument demonstrate reliability a) Test-retest correlations b) Consistency in test administration and scoring • When one modifies or combines an instrument the original validity and reliability may not hold for the new instrument, reestablish validity and reliability in data analysis • Include sample items from the instrument so that the readers can see the actual items used A Survey Method Plan Instrumentation (cont.) • Label the major content sections in the instrument: a) Cover letter b) Items: demographics, attitude items, behavior items, factual items c) Closing instructions d) Type of scales used to measure the items: strongly agree to strongly disagree • Discuss the pilot testing and field-test the survey • For mailed survey, identify steps for administering the survey and for following up A Survey Method Plan Variables in the Study • Useful in the methods section to relate the variables to research questions and items on the instrument • Allows the reader to easily determine how the data collection connects to the variables and question or hypotheses • Allows for cross-referencing the variables, the questions or hypotheses, and specific survey items A Survey Method Plan A Survey Method Plan Data Analysis and Interpretation • Present the steps for analyzing the data • Step 1. Report response rate • Step 2. Determine response bias: the effect of nonresponses on survey estimates • Step 3. Discuss plan to provide descriptive analyses • Step 4. Check instrument's scales • Step 5. Statistics and statistical computer program for inferential statistical analyses (see Table 8.3) • Step 6. Present and interpret results A Survey Method Plan Data Analysis and Interpretation (cont.) • Report how the results answered the research question or hypotheses • Discuss the implications for the results for practice or future research on the topic, draw inferences and conclusions from results Criteria for Choosing Select Statistical Tests An Experimental Method Plan • Experimental Design • To test the impact of a treatment on an outcome, controlling for other factors that might influence that outcome • Components of an Experimental Method Plan • Participants • Materials • Procedures • Measures Checklist of Questions for Designing an Experimental Method Plan 1.Who are the participants in the study? 2.What is the population to which the results of the participants will be generalized? 3.How are the participants selected? Was a random selection method used? 4.How will the participants be randomly assigned? Will they be matched? How? How many participants will be in the experimental and control group(s)? Checklist of Questions for Designing an Experimental Method Plan 5. What is the dependent variable or variables (i.e., outcome variable) in the study? How will it be measured? Will it be measured before and after the experiment? 6. What is the treatment condition(s)? How was it operationalized? 7. How will variables be measured? Checklist of Questions for Designing an Experimental Method Plan 8. What experimental research design will be used? What would a visual model of this design look like? 9. What instrument(s) will be used to measure the outcomes of the study? Why was it chosen? Who developed it? Does it have established validity and reliability? Has permission been sought to use it? 10.What are the steps in the procedure (e.g. random assignment of the participants to groups, collection of demographic information, administration of pretest, administration of treatment(s), administration of posttest)? Checklist of Questions for Designing an Experimental Method Plan 11.What are potential treats to the internal and external validity for the experimental design and procedure? How will they be addressed? 12.Will a pilot test of the experiment be conducted? 13.What statistics will be used to analyze the data (e.g. descriptive and inferential)? 14.How will the results be interpreted? An Experimental Method Plan • Participants • Describe the selection of participants as either: • Random • Nonrandom (convenience) • Indicate if it is a true experiment or not • Identify other features in the experimental design that will influence the outcome An Experimental Method Plan • Participants (cont.) • Describe the assignment of participants to groups and the procedure for determining group size • Level of statistical significance • The amount of power desired • The effect size • The experiment is planned so that the size of each treatment group provides the greatest sensitivity that the effect on the outcome actually is due to the experimental manipulation in the study An Experimental Method Plan Variables • Specifying the variables in an experiment identifies the group receiving the experimental treatment and the outcomes being measured • Clarify the groups • Identify the independent variable(s), including the treatment variable • Identify the dependent variable(s), the outcomes An Experimental Method Plan • Instrumentation and Materials • Describe the instrument(s) participants complete in the experiment • development, items, and scales • reliability and validity reports of past uses • Thoroughly discuss materials used for the treatment An Experimental Method Plan • Experimental Procedures • Identify the type of experiment • Pre-experimental, true experiment, quasi-experiment, and single-subject designs • Identify the type of comparisons: within-group or between-subject • Provide a visual model to illustrate the research design used • X = treatment • O = observation See Examples: 8.2, 8.3, 8.4 and 8.5 An Experimental Method Plan • The Procedure • Describe the step-by-step procedure for the experiment 1. 2. 3. 4. 5. 6. Administer measures of the dependent variable or a variable closely correlated with the dependent variable to the research participants Assign participants to match pairs on the basis of their scores on the measures described in in step 1 Randomly assign one member of each pair to the control and experimental group Expose experimental group to the treatment Measure dependent variables to experimental and control groups Compare performance of the experimental and control groups on the posttest(s) using statistical significance An Experimental Method Plan • Data Analysis • Report descriptive statistics (e.g., means, standard deviations, ranges) • Conduct inferential statistical tests (e.g., t test, ANOVA, ANCOVA, or MANOVA) • Use line graphs for single subject designs • Report confidence intervals and effect sizes in addition to statistical tests • Interpreting Results • Discuss results, limitations, and implications