The learner demonstrates understanding of data collection procedures and skills using varied instruments, and data processing, organizing, and analysis
The learner is able to gather and analyze data with intellectual honesty, using suitable techniques
The learner:
1. collects data using appropriate instruments (CS_RS12-IId-g-1)
2. presents and interprets data in tabular and graphical forms (CS_RS12-IId-g-2)
3. uses statistical techniques to analyze data— study of differences and relationships limited for bivariate analysis (CS_RS12-IId-g-3)
GATHERING QUANTITATIVE DATA
Formulate Specific Questions: Clearly define the research questions or hypotheses you aim to answer with your quantitative data. This will guide your data collection process.
Select a Design: Determine whether your study will be descriptive, correlational, experimental, or quasi-experimental. The design choice will influence how you collect data.
Consider the Timeframe: Decide if your study will be cross-sectional (data collected at one point in time) or longitudinal (data collected over time).
Define the Population: Identify the larger group you want to study (e.g., all students in a school district).
Select a Sampling Method: Choose a sampling technique (e.g., random, stratified, convenience) that will best represent the population while minimizing bias.
Determine Sample Size: Calculate an appropriate sample size to ensure the results are statistically significant and generalizable.
Choose or Create Instruments: Select or design tools for data collection, such as surveys, questionnaires, or structured observation forms. Ensure they are valid and reliable.
Pilot Testing: Conduct a pilot test of your instrument to identify any issues or areas for improvement before the actual data collection.
Validity: Ensure that your instrument measures what it is intended to measure. Consider content validity, construct validity, and criterion-related validity.
Reliability: Test the consistency of your instrument by calculating reliability coefficients (e.g., Cronbach's alpha). Instruments should yield similar results under consistent conditions.
Surveys and Questionnaires: If using self-reported measures, design clear and concise questions. Use closed-ended questions for quantitative data.
Observations: If observing behavior, use structured observation protocols with defined criteria to ensure consistency.
Existing Data: Consider using existing databases or datasets if they are relevant and accessible. Ensure they meet your study's criteria.
Provide Training: If others will assist in data collection, provide thorough training on the data collection process, tools, and ethical considerations to ensure consistency and accuracy.
Informed Consent: Obtain informed consent from participants, ensuring they understand the purpose of the study and their rights.
Confidentiality: Maintain confidentiality and anonymity of participants in data collection and reporting.
Follow Protocol: Adhere to the established data collection protocols to ensure consistency and reliability.
Monitor the Process: Regularly check data collection progress and address any issues that arise during the process.
Review Collected Data: After data collection, conduct quality checks to identify and rectify any errors or inconsistencies in the data.
Organize Data: Use data management software (e.g., Excel, SPSS) to organize and store collected data securely.
Backup Data: Regularly back up data to prevent loss.
Research Question: Does online learning improve student engagement compared to traditional classroom settings?
Research Design: Quasi-experimental design comparing two groups (online vs. traditional).
Population and Sample: All high school students in a district; a random sample of 200 students from each group.
Data Collection Instrument: A validated questionnaire with Likert scale items measuring engagement.
Data Collection Method: Administer the questionnaire at the end of the semester.
Ethical Considerations: Obtain parental consent for minors and ensure confidentiality of responses.
WAYS OF PRESENTING QUANTITATIVE DATA
Definition: Tables are structured arrangements of data, typically organized in rows and columns.
Usage:
Use tables to display large amounts of data that require precise values, such as survey responses or statistical results.
Ensure each table has a clear title and is numbered sequentially.
Use footnotes to provide additional information or clarify any abbreviations or terms.
Bar Charts:
Use bar charts to compare different groups or categories. Each bar represents a category's value, making it easy to compare visually.
Pie Charts:
Ideal for showing proportions of a whole. Each slice represents a category's contribution to the total.
Line Graphs:
Suitable for showing trends over time. Each point represents a value at a specific time, connected by lines to illustrate change.
Scatter Plots:
Useful for showing the relationship between two continuous variables. Each point represents a data pair, helping to identify correlations or patterns.
Example:
A bar chart comparing student engagement scores between online and traditional learning methods.
Definition: Summarize data using key statistics such as mean, median, mode, range, and standard deviation.
Usage:
Present these statistics in a clear narrative form or in a table to provide a quick overview of the data characteristics.
Example: "The mean engagement score for online learners was 8.5 (SD = 1.2), while traditional learners scored an average of 7.0 (SD = 1.5)."
Definition: Visual representations that combine graphics, text, and data to convey information quickly and effectively.
Usage:
Use infographics to summarize findings in an engaging way, ideal for presentations or reports targeting non-specialist audiences.
Ensure that the visuals are not cluttered and focus on the key messages.
Definition: A collection of visual data displays that provide an at-a-glance view of key performance indicators (KPIs) and metrics.
Usage:
Use dashboards for real-time data monitoring in business or project management contexts.
Include various types of visuals (charts, graphs, tables) to present different aspects of the data.
Definition: Tools like Tableau, Microsoft Power BI, or Google Data Studio can create dynamic and interactive visualizations.
Usage:
Use these tools to create complex visualizations that allow users to explore the data through filters and interactive features.
Ideal for presentations where you can demonstrate data relationships dynamically.
Definition: A written description that summarizes findings and interpretations based on quantitative data.
Usage:
Combine narrative explanations with tables, charts, and statistics to provide a comprehensive overview.
Use headings and subheadings to organize sections clearly.
Definition: Presenting results directly from statistical software (e.g., SPSS, R, SAS).
Usage:
Include relevant output tables and figures, accompanied by explanations.
Clearly label each output and highlight key findings relevant to your research questions.
Definition: Present data side-by-side to compare different groups or conditions.
Usage:
Use side-by-side bar charts or tables to highlight differences in key metrics between groups.
Keep your visuals simple and focused on the main points to avoid overwhelming the audience.
Ensure uniformity in font size, color scheme, and labeling across all visuals to enhance readability.
Use colors, bold text, or annotations to draw attention to the most important data points.
Accompany charts and graphs with explanatory text that helps the reader understand the significance of the data presented.
Ensure that your visuals are easy to read, with appropriate axis labels, legends, and scales.
ANALYZING QUANTITATIVE DATA
Data Cleaning: Ensure your data is free of errors and inconsistencies. Address missing values and outliers appropriately.
Descriptive Statistics: Begin with descriptive statistics to summarize the data. This includes measures of central tendency (mean, median, mode) and measures of variability (standard deviation, range).
Select Tests Based on Research Questions: Choose statistical tests that align with your research questions and the type of data collected (e.g., t-tests for comparing means, ANOVA for comparing three or more groups, regression analysis for predicting outcomes).
Check Assumptions: Ensure that the assumptions of the statistical tests are met (e.g., normality, homogeneity of variance).
Use Statistical Software: Utilize software like SPSS, R, or Python to run your analyses. Ensure you understand the output generated by the software.
Report Statistical Results: Include the relevant statistics such as test statistics (e.g., t, F), degrees of freedom (df), p-values, and effect sizes (e.g., Cohen's d, partial eta squared).
Section Title: Label the results section clearly as "Results" (centered, bold, title case).
Descriptive Statistics: Present descriptive statistics in text or in a table. Use proper APA formatting for tables (see APA Publication Manual for specifics).
Statistical Analysis Reporting: When reporting statistical analyses, follow this structure:
Report the test used, the test statistic, degrees of freedom, p-value, and effect size.
Tables: Present detailed numerical results in tables. Each table should be labeled with a number and a title. Follow APA guidelines for formatting.
Figures: Use graphs to visually represent data. Label figures with a number and title, and provide legends when necessary.
Interpretation: After presenting the results, briefly interpret the findings. Discuss the implications of the statistical results and how they relate to your research questions.
Limitations: Acknowledge any limitations of the analysis, including potential biases or constraints in the data.
APA 7TH EDITION FORMAT FOR TABLES AND FIGURES
A table concisely presents information (often numbers) in rows and columns. A figure is any other image or illustration you include in your text—anything from a bar chart to a photograph.
Tables and figures differ in terms of how they convey information, but APA Style presents them in a similar format—preceded by a number and title, and followed by explanatory notes (if necessary).
APA Table Format
Tables will vary in size and structure depending on the data you’re presenting, but APA gives some general guidelines for their design. To correctly format an APA table, follow these rules:
· Table number in bold above the table.
· Brief title, in italics and title case, below the table number.
· No vertical lines.
· Horizontal lines only where necessary for clarity.
· Clear, concise labels for column and row headings.
· Numbers consistently formatted (e.g. with the same number of decimal places).
· Any relevant notes below the table.
Example:
APA Figure Format
Any images used within your text are called figures. Figures include data visualization graphics—e.g. graphs, diagrams, flowcharts—as well as things like photographs and artworks.
To correctly format an APA figure, follow these rules:
· Figure number in bold above the figure.
· Brief title, in italics and title case, under the figure number.
· If necessary, clear labels and legends integrated into the image.
· Any relevant notes below the figure.
Keep the design of figures as simple as possible. Use colors only where necessary, not just to make the image look more appealing.
For text within the image itself, APA recommends using a sans serif font (e.g. Arial) with a size between 8 and 14 points.
For other figures, such as photographs, you won’t need a legend; the figure consists simply of the image itself, reproduced at an appropriate size and resolution.
Numbering and titling tables and figures
Each table or figure is preceded by a number and title.
Tables and figures are each numbered separately, in the order they are referred to in your text. For example, the first table you refer to is Table 1; the fourth figure you refer to is Figure 4.
The title should clearly and straightforwardly describe the content of the table or figure. Omit articles to keep it concise.
The table or figure number appears on its own line, in bold, followed by the title on the following line, in italics and title case.
Formatting table and figure notes
Where a table or figure needs further explanation, notes should be included immediately after it. These are not your analysis of the data presented; save that for the main text.
There are three kinds of notes: general, specific, and probability. Each type of note appears in a new paragraph, but multiple notes of the same kind all appear in one paragraph.
Only include the notes that are needed to understand the table or figure. It may be that it is clear in itself, and has no notes, or only probability notes; be as concise as possible.
General notes
General notes come first. They are preceded by the word “Note” in italics, followed by a period. They include any explanations that apply to the table or figure as a whole and a citation if it was adapted from another source, and they end with definitions of any abbreviations used.
Specific notes
Specific notes refer to specific points in the table or figure. Superscript letters (a, b, c …) appear at the relevant points in the table or figure and at the start of each note to indicate what they refer to. They are used when it’s necessary to comment on a specific data point or term.
Probability Notes
Probability notes give p-values for the data in the table or figure. They correspond to asterisks (and/or other symbols) in the table or figure
WHERE TO PLACE TABLES AND FIGURES
You have two options for the placement of tables and figures in APA Style:
Option 1: Place tables and figures throughout your text, shortly after the parts of the text that refer to them.
Option 2: Place them all together at the end of your text (after the reference list) to avoid breaking up the text.
If you place them throughout the text, note that each table or figure should only appear once. If you refer to the same table or figure more than once, don’t reproduce it each time—just place it after the paragraph in which it’s first discussed.
Align the table or figure with the text along the left margin. Leave a line break before and after the table or figure to clearly distinguish it from the main text, and place it on a new page if necessary to avoid splitting it across multiple pages.
If you place all your tables and figures at the end, you should have one table or figure on each page. Begin with all your tables, then place all your figures afterwards.
Referring to tables and figures in the text
Avoid making redundant statements about your tables and figures in your text. When you write about data from tables and figures, it should be to highlight or analyze a particular data point or trend, not simply to restate what is already clearly shown in the table or figure:
❌ As Table 1 shows, there are 115 boys in Grade 4, 130 in Grade 5, and 117 in Grade 6 …
✔ Table 1 indicates a notable preponderance of boys in Grade 5. It is important to take this into account because …
Additionally, even if you have embedded your tables and figures in your text, refer to them by their numbers, not by their position relative to the text or by description:
❌ The table below shows…
✔ Table 1 shows…
❌ As can be seen in the image on page 4…
✔ As can be seen in Figure 3…
❌ The photograph of a bald eagle is an example of…
✔ Figure 1 is an example of…
Source: Caulfield, J. (2022, June 02). APA Format for Tables and Figures | Annotated Examples. Scribbr. Retrieved November 21, 2023, from https://www.scribbr.com/apa-style/tables-and-figures/