11. DATA ANALYSIS AND INTERPRETATION


Theme: Making Sense of Quantitative and Qualitative Data through Systematic Analysis
Duration: 1 week (self-paced)
Level: MA / MSc / PhD Preparation
Format: Fully self-contained lesson for independent study


đŸ”· 11.1 Purpose of This Module

Data analysis and interpretation transform raw information into coherent, evidence-based insights. This module helps you conduct analysis that is methodologically aligned, logically structured, and clearly reported—whether you’re working with numbers, text, or both.

By the end, you will be able to:

  • Understand the goals and principles of data analysis
  • Select appropriate analysis techniques based on your method
  • Conduct structured qualitative coding or statistical tests
  • Interpret findings in context, not just report them
  • Avoid common mistakes and ensure analytical rigour

📖 11.2 What Is Data Analysis?

Data analysis is the process of organising, examining, and transforming data to uncover patterns, relationships, and meaning that address your research question.

Analysis is always followed by interpretation—answering the “So what?” and “What does this mean?” questions in light of your aims.


đŸ§Ș 11.3 Quantitative Data Analysis

✅ A. Descriptive Statistics

Summarise and visualise the basic features of your data.

MeasureFunctionExample
MeanAverage valueMean weekly study time = 12 hours
MedianMidpoint valueMedian income = ÂŁ21,000
Standard Deviation (SD)Spread of scoresSD = 2.3 for test scores
FrequenciesCounts or percentages65% female, 35% male respondents

Visuals: Bar charts, histograms, pie charts, box plots


✅ B. Inferential Statistics

Used to test hypotheses and generalise to populations.

TestPurposeExample
T-testCompare two meansDo men and women differ in stress levels?
ANOVACompare >2 groupsAre there GPA differences across 3 teaching styles?
Correlation (Pearson’s r)Assess relationshipsTime spent revising vs exam score (r = .65)
Chi-squareCategorical associationGender vs programme preference
RegressionPredict outcomesPredicting satisfaction from workload and support

✅ Always check:

  • Assumptions (normality, independence)
  • P-values (commonly < 0.05 indicates significance)
  • Effect sizes (strength of findings, not just significance)

📚 11.4 Qualitative Data Analysis

✅ A. Thematic Analysis (Widely Used)

Systematically identifying patterns or “themes” in textual data.

Steps:

  1. Familiarisation – Read data multiple times
  2. Initial Coding – Label meaningful segments
  3. Theme Generation – Group related codes
  4. Review Themes – Refine or merge themes
  5. Define and Name Themes – Create meaningful labels
  6. Interpret and Present – Relate back to research question
CodeQuoteEmerging Theme
“It’s hard to speak in class”“I’m scared to say something wrong”Fear of judgement
“I use AI to get ideas”“It helps me brainstorm”AI as inspiration tool
“My tutor doesn’t like it”“She called it cheating”Conflicting views on AI

✅ B. Other Qualitative Approaches

ApproachFocusExample
Content AnalysisCount presence of themes/wordsCount how often “freedom” appears in campaign leaflets
Narrative AnalysisExamine personal stories’ structure and meaningStudy turning points in refugee resettlement stories
Discourse AnalysisStudy language and powerHow government talks about “benefits cheats”

✅ Tools: NVivo, Atlas.ti, manual coding in Word/Excel


🔄 11.5 Mixed Methods Data Integration

When using both qualitative and quantitative data:

Integration PointExample
At AnalysisQuant survey shows low motivation; Qual interviews explain causes
At Interpretation“While 70% feel demotivated, they describe it as frustration with unclear tasks.”
At ReportingMerge both into discussion with linked themes and charts

❗ 11.6 Common Mistakes to Avoid

MistakeWhy It’s a ProblemWhat to Do Instead
Reporting data with no interpretationLacks meaningAlways ask: “What does this show?”
Ignoring negative or unexpected resultsBiased or incompleteExplore and explain them
Overgeneralising from small samplesWeakens credibilityBe transparent about limitations
Misaligning analysis with questionDisjointed argumentKeep your research aim in view throughout

🛠 11.7 Self-Learning Task Set (Independent Exercises)


✍ TASK 1: Plan Your Analysis

Write a short plan (~200 words) covering:

  • Your research question and design
  • The type of data you are collecting
  • What analysis technique you will use
  • How you will interpret results based on your aims

Example Output:

My project explores how AI-assisted writing tools affect students’ learning experiences. I will collect interview data from 10 students and analyse it using thematic analysis. I will code transcripts manually, look for recurring patterns, and group them under broader themes. I aim to relate findings to theories of self-directed learning and academic agency.


📊 TASK 2: Do a Basic Quant Analysis Simulation

Invent a small dataset:

Hours StudiedExam Score
260
470
680
885
1090

Now:

  • Calculate mean hours studied and mean score
  • Plot a simple line graph
  • Comment on the relationship you see

Expected: Positive correlation—more study → higher scores


🧠 TASK 3: Simulate Coding Qualitative Data

Use this sample quote:

“I feel anxious when I write essays. But when I use AI tools, it’s like having someone to bounce ideas off. It helps me get started.”

  1. Highlight 2–3 phrases of interest
  2. Assign codes to each
  3. Suggest a possible theme

Example:

  • “feel anxious” → Code: academic anxiety
  • “bounce ideas off” → Code: AI as peer support
  • Theme: Emotional relief through digital assistance

📋 TASK 4: Interpret a Combined Dataset (Mixed Methods)

Scenario:

  • 70% of students report increased motivation using AI tools
  • Interviews reveal students say: “I’m more motivated when I feel in control of the writing process.”

Write 3–4 sentences combining these into a meaningful interpretation.

Example Output:

Quantitative findings show that a majority of students feel more motivated when using AI tools. This is supported by qualitative responses, which suggest that motivation increases when students experience a sense of autonomy. Together, the data indicate that AI’s role in scaffolding tasks enhances emotional engagement.


🔍 11.8 Summary of Key Takeaways

  • Data analysis transforms information into insight
  • Choose analysis methods that fit your design (qual = themes; quant = stats)
  • Analysis is not just technical—it requires interpretation and reflection
  • Mixed methods must synthesise, not just parallel present
  • Clear, logical, and honest reporting builds trust and academic value

✅ End-of-Module Self-Evaluation Checklist

ConceptYes / No
I identified an appropriate analysis method for my data☐
I understand the steps in either statistical or thematic analysis☐
I created a mini dataset and analysed it (quant or qual)☐
I interpreted a result using academic reasoning☐
I can explain how my analysis addresses my research question☐